Synthetic perture Imaging lgorithmsB with application towide bandwidth sonar David W. Hawkins ...

October 30, 2017 | Author: Anonymous | Category: N/A

Share Embed

Report this link

Short Description

known as ma t c h ed‡fi l t er ing or p u lse c o mpress io n , or in some cases deramp pr o cess ing . E ach of thes&nb...

Description

! "$#%& '( )+* , ' -(. /0 "# 1# , 2 3(42 , 2 )5#- 678:9A@B7C/DE9MLENO>

PQSRUTWVYXZV\[U]YTWVYTW^'QSTW_`bac]dQSRUT1_UTWec]YTWTaf` g ahiQSac]daf`HjHRUXZkZacVYac[UR'l XZ^ m kZTWhiQS]YXZhonfkpnf^U_ m kZTWhiQS]Yac^UXZh m ^UecXZ^UTWTW]YXZ^Ue nqQ\QSRUT r ^UXtscTW]YVYXtQulvaf`Kwdnf^'QSTW]YxUyU]zlc{ w|RU]YXZVzQSh}R"yU]Yh}R~{OTi OTonfkMnf^U_~ hiQSacxTW]5cc

!" #$&%(')*+#,.-/+0-/,1$2'0)435,*6!')!%($&*3$&%(')$&0)435!,1*!')7890) !:; =,&7(!,, 43?')@$&%(')*+;+K.++$_*!')7890)E A !,v$]!'*#3 J~ $?')!8>!, !W2R!1u!, :[!8> )8>:[89), )%N ')E& %R'!,T!,T )8W2+*:h2'?27(+n52$]!'*3(!,TUV!'')'K !W2($^*c!,oDI u')A:[!8>0R!8*R]+= 6!c8!,T!:Q ; *P !~.&')!R2K.*P dc!$ p.+8$&')KzR!890+*:h2'A+X 6!J$&*=!, *7(')*K!3V!,J++890R!R')*89W')~! ;089')=u>600R' /3 W8*(R 0 !''!!34!,{B#2!'R +# }M[ R!K.$ 8$]! I!$&!3.')K& W:h!A9 !R! 1 O92P oK]8.~=*'$Z7(RE%(!'*3 %')9 089,4/3 9" !, ,!:3 W890$&!#3 +W*8*~V3 J089*2*3DE0 089#!?, ;9G.'!$*=@+#20>3 J0+ IP)"3 ;'08!3.!,1*6!*8K! '+I ] ')%L,N$&Z 6!Z&R!807(! T0 E,v!:Q A$]) 1 HWc!89$&2a !~-/K!2]R!5Y2Y+ZHWA; 0%($]!c:[!8:[*,RI$&$2.q1*3!,c:[!89*RI$&A+Z,89~ 7L**8A) v *8>0B9"')*"K *6!*8KT Q2,KN)R *PYd ''L!''L7LE+!8')K1$]+,4P o+;!:Q!'' 35d] >%(0 ]+Z%(2892 !%')+89*!'/%R**89R&,*R!8*!P

E

" +08+,T2> 44")]!>]$]!++*89%8++]7(2',N]*< ,#7(!,, N+K. *I0%L*828 +08+K.++$ 0:[+*8 =')*3Q0+.3a!:; =+K.++$|2+,S75K J)~!'!WK!*PT =+K.++$ ,89)7L,SS c&*!''),z TDE)F-CG.HIGVPQH;] v,z!: 44"){ T$]!++*89&!R!E8+'2) u!'^0%L*828E$]0RR G5K. *I0%L*828I$]0RR HW2$&,N7(!~5R!82, !W++!89*!'L8*6.)*< 0P L5P 10W89)R"!:Q Z+K. *I0%L*828I+9 n52EN89!,08>0%%('*0) 0P L5P H>%%('*0)"!:Q Z+K. *I0%L*828I+9 n52I+=+08 0 P & A+89)7(2) 0P 7 ;!8R!0)

! !% '

)

7 7 7

"

L 7

& " 321$)/ " 4$)+55 64,87.)+5 &)/9,-.:2$'

5P .G !$&%('Rc *!8K 5P 0P u!'^)R!'A!,C>K.n52+;890+Z!$&%('R 5P 0P "$&%(')p160!'2,N7(!+*7(!,T)R!' 5P 0P ) dC.-/%( !+I!,Tn52!,89028=M[db-CBEO;!$&%('R 5P 0P H_$]$&>T+%L+89!'4!0) 5P J0%%(Rc!%L*890+!89 5P ) s289)*8+89!+:[!89$];:[!8 Z2\4+*>s289)*8Mh ')!R!890%( @O%8!%L*8)"!:Y$&%(')pv$]0R! P 0P ) E$&%('*0)"!:a,)R)!'L%8.R

4

'

& & & ) &

"

P 0P ?*89$]')!R!KVx ;+6!*89)#=c!8';+$]09 ,vUV')+*89R = &L P 0P +W!%%(')*8A6.+%(0!'/+W!%%(')*8A:[8n52K &L P 0P L sa)R28;!:Y$&*89)v+K. *I0%L*828E$]0R! &"& P G5%(0!'')K-b,2,=++89)%-b$]0%T+K. *E0%L*828I+K.++$r$&.,' &7 P ) G5+89)%-b$]0%v6!*89)v$&* ., 7 P )5P G5%(0!'F-/+$&%L!89!'L,$]!T!,N:h!+C-b!88'0)T%8.R 7 P )5P I89!R!- +W!%%(')*8>!')R!!89) $ 7"! P )5P ) I!: m #HIO &! L5P L G5+89)%-b$]0%v%( !+E*2860028E!2+!:[.*2M m ;HIO &7 L5P & G.!')A:[028!:a!2+!:[.*2>!')R!!89) $] 7 L5P 7 I:h!'28#!:Q m ;H_$&.,'L:[!8>')@ "%('0+:[!89$ %(04 .?Pa 82R 2 *35 #+K. *>0%L*828W+K.++$$&.,'08#,*6!')!%L,1= &5M 27683O/-b,$]!4PY ,*6!')!%($& !2$&] 01 o%('0+:[!89$ ]+896!''R}y {!$&o%('!o!1 o![7 +17LR}$]0R!,4PG5) P L ,*2+E =+89!+:[!89$]0)}:[8$ N!2!';$]0RRJ,$]!}X'!C-/89!R!S5M 0683OZ5!89,0+Z+{ R!82,.-/%('!&5M 27683OA5!89,0+*P 1%8.,2)}!: 1UV!';$]0R!N:[8$| N89,?&'$%@ )AB.3)C@D&9EF/2&>,3G')-,3 H1)-.,3=2.3)I "#$% &'$ :6.3)-46)-.B,3*5,3G'),3)-JK,L46*.M92)-,N @ NANO

o89< ,0 !8= J+K. *T0%L*828T8++892)4P !>@\L"!:^!K&` a 2 ^+_>`\adcBe M 0P )O Q8'0) )%c!'+I,*0+a 0 )R 8+'2)c$]0RR#8n52)8a 2+;!:L')RI0%L*828a!%L*890R 0] )R X:[8n52*)*PX v,*%L,N!:W T!')R0-/+89!~z8+'2)zM 0P )O&!,X v89!R!v8+'2) M 0P @OI} ]!8!'?0%L*828E+K.++$]*3p*%> 0> Z,0]8)6!,o++!8,o!8>%8.+, ,9j`0i 6*%6(Cg & K0P *+j @ 5f ^v j 6*;!ghf j J,89)7LW &)20)o *8c &$]!{')!7LZ!: &89!,0)o%(0++*89{%L#0I! !R')c 0I>%L*8%L,*2'08+N c%('0+:[!89$t%(0 4AP C>.-/%L*8%L,*2'08A!%L*890){W+*89$&, ?I*k.f (g ]j ^ !,1')K&789) (Kc,89)7L,]) & *PY ?&+K. ' 9*> W\L;!:?'08R!W0%L*828!35 W8)6!, 9 5E:[8$ ]$]0R!,S08R!*EU(',{08= *8')K{+*R!890+,Mh2$]$&,VOW{! 0%%8!%890+&$]!*8E+ %8.,2!$]0R! 0Q !?!Z!')R0-/+89!~E8+'2)I 0QYf ^26^6(g!:89!R!!,E!,Z8!!!3 ') W+%L!')R $&.,W"2+,]:[!8;!: %( $&]8*:[*8W+v)W$]')!,R')K{Mh!#!%%L+,T+v!88')KOA!# +W!%%(')*8c$&.,2'0)43? X2+= 0E~.@X! H g/ j 2g *g;!2$&%) +{,*+*89$]= =8')*60! $]0 $]0**P] ]++!%-b+08Z!2$&%){!2$&I 0I]!9 %(2'+c#+89!$])++,43?!, !''Q9 5

O

M

6!E7L*N8)6!,43 0A E%('0+:[!89$l+!!*2')K1$&@6!+] Ep.!')R0-/+89!~T!$&%('Rc').*0) !,1 #%8.;"8*%L0+,4P #++!%-b+08!2$&%)=\L)6!')K=8$&@6!>$&@6!$&A:[8$ I+K.++$v3 *8*:[!8o g26 j*;&2+W!%%(')*8]\L1*!yp+*P o!88=+*89$ :[!8] o+%L+89!'>+=%8.,2, 75Ko &%( !+]$&.,2'0){{!')R0-/+89!~S! 0!gh5f &/+W!%%(')*83? P !P)3?)I# &890+]!:;9 !R!]!:" &8'0)6! %('0+:[!89$c-/08R!*I,+! 0I*!2+# 0!gh5f &4$&.,2'0)T!: 8*289{)R!' P# c$]!)%(2'0)T!: +%(0!'7(!,, Z%8.,2,c75K j *Cg * 5f , && KW,2,c$&.,2'0)cY A+>!:V >+K. * 0%L*828E+9 n52!P# ?892Z+$&%L!89!' +W!%%(')*8W\LI*!2+c1$]!8W$&.,2'0)v) T!9 J+89!$])++, %(2'+!3a @!:Y ++89)%-b$]0%S+K. *]0%L*828&+9 n52&+o2+& =$&* .,S:[!8Z )R .-/8+'2){$]0R!&%8.,2)4P& $&* .,1:[!8!9 )*6.R& )R N!')R0-/+89!~ Mh9$2 VO8+'2)N*!N7LI,89)7L,1!:[.*2R!%L*890)43 $]09 ,oUV')+*89R]!8#!88'0)o!%L*890)43V!8#!{!')R0-/+89!~J$&%8)T!%L*890)4PW ?N,*+*89$]Z %L)7(')&+K.++$|8+'2)43Q)Z08K +J6!+)R0+N 1+K.++$ 8+%L+]+{o%LE08R!**P{ 6!+)R0)SR)6!I ]+%(0!'')KJ,2, +W!%%(')*8I7(!,, J%8.,2,J75KJ &8'0)6!]%('0+:[!89$c-/08R!* $&.,2'0)o!,{,*0+> 7(!Z:[!89$t!: c$]09 ,JUV')+*8PI c!')R0-/+89!~{+K.++$t8+'2)J*! v7LI,*+*89$],4P ",*8>]8!'Q0%L*828Z+K.++$r+896!''R=!')R= 4.S`p>+89!$])+R]1$&.,2'0+,v%(2'+M O9P

d :^ I08R!*;U(',N+;!:Q&R')W%L"08R!*>').*0+,v0ZM527683O?a M52 6 (O N E,$&.,2'0+,19 )R!'$&.,''),]2R# W++!%-b+08"!2$&%)oMh+*IG5) 5P 7I:[!8 60!',)bK!:L !2$&%)VOQ!, $&%(')p M[8!'^!,T$]0R08KO)R!'4!0)o;R)6!T75K M 0P !O M 68.4?O a

[ p.%Q M ZO 6 *8E 7(!+*7(!,T%(2'+ M HO a cM Op.%Q M OA !W1088@)R!8,4P#M C>!+M _A!Kv:h2)v) T]27(89)%4 $ V$&%(');$&.,2'0+,T!0)43V P !P)3( !!')K5#8*%8+0)T!:a E:h2)T+''4!>=*0889)*8+*89$wp.%QM O93( *8 IA Z*0889)*8 :[8n52K!89!R!Z a 2 . 2 . 2 6 M0P LO *8I E7($]!'V0%%8p$]0)T;60!',N:[!808R!*>89!R! 2 .?P v9 }:h2) M 0P !Oc7L$&=Sb Z*< :h2) M 6 O93( *8 H a !, a . c08W7L! 1+80+,v!;522;n52!))*PY W\L;!:?,8*' 90)108I@6!*8, & ; 0%+*8 !5P Ts289)*8]+%(!T!:W T0%L*828N!89,0+!3 .?3"2+,yX c &c8*:[*88,z+}!& T0%L*828 j @&G6*&%L*8I$&*+*8PIdCJ &*'!*!'Q,*6!')!%($&*34 &s289)*8#%(!)8#W')@*8; 9!P ?v,*+*89$] Nf 0g (g j0k \ 0!gh5f & j @&G6* .-*%%I*Jk 6,?KMh* !9`Oa%8.,2,&75Kc >%LY08R!**3. %( !+:h2)]oM 0P &!O,F\L*80+,&) &8+%L

'

"

!

O

M

+] E')@&78!,, !89)0)T;R)6!T75K 2 ^+_>` a 2 a 2 M 0P 4O "R)6!> j @&G6* %0eY5f !g[iTMh !>*8; 9`O"!: 3 2 2 a 6 X a M 0P (O 9 v0:[+*8W$]09 ,vUV')+*89RvMh!')R0-/+89!~o$&%8)VO%8.,2A!o!')R0-/+89!~T+%(0!'L8+'2)N!: ] 3 ^+_>` a 6 M 0P "@O X 9 I4,*%L,L!:.6!').*)bK!3`,*0+L 0^UV*848+'2) *!X7LN!9 )*6!,z) X{$]!'')*88!';0%L*828!3!z!9 )*6!$&& 9 Xc+8908K}+S6!)!';8!' 0%L*828&$]0RRP& +&!7(+*8600)I;bK5%(*!'')K=8*:[*88,N+]!X*; ] c'f M*;!ghf j =!X8 *; ,*[k * !gh[k *%P I%8+I!: Z,'KN+*89$ '[Iv Z,'K!,o6!*89)A!:a E+89!$])++,v%(2'+E M 0P !OA\LW Z$&.,2'0)N!: "8)6!,c9 5Z8!'+"*!+a *8" ;+89!$])++,%(2'+")+'):(!Y+$&;:[!89$_!:V$&.,2'0) !

!

'

!

!

'

!

"

[M bK5%(*!'')K$?s SO9PL Z%8.R `6!*89)o!')R!!89) $]8n52)8,T:[!8W8!'+E)20)> 0#!*2#:[!8 +Z!,v! *8\LW08Z@6!*8,Jv,*!'^&; 0%+*8 P E!')R0-/+89!~T8+'2)v @T M 0P "@O*!o!'+&7LE0889)6!,T0>2R&&7L!$l:[!89$]R]08R2$&*P Ep.%('))0)v!:Y E%( !+Z:[!89$]0)T!'')@=+K. *E0%L*828E+1 6!c!o!')R0-/+89!~T8+')6.R *0%(07(')bK= 0>EgheY5f ,-A 0!:a].-b *88!'^0%L*828E+K.++$vx 0>*3 a 2 6 ] 3^+ _>` M 0P O *8Z !89)RT!: :h!+!8#!: =W@6!*8,S ; 0%+*89 )=!, 34! , a > c,+!Z@6!*8 9 S08R!*10]89!R! 2 N8$]!&z T8!'0%L*828v89!,0)z%(0++*894P T27(+)2)X!: 2RoM 0P 4O3(0R!vR)6!>!T!')R0-/+89!~v8+'2)N!: 5P

#

#

R5RgT %! +

#

'"iT +

; A!2$&A 0 I8!,*8> !&8!+07(')I~.@'),R!I!:Q Z+K. *I0%L*828#+9 n52!Pd : !*3 *8#;c'08R!I+'))1!:?8*:[*8#7L5!~."60!'07(')!Ps!8,*6!')!%($&A1++89)%-b$]0%TG.HWu$]0RR %89)!8+ 44 M[89!R!- +W!%%(')*8]6!*89)4327-b0%L*828 `$2')F-b')5!~{8*R++890)z!2+!:[.*2 O+*N N7L5!~ :[8$| ,!* m 8!%(2')) $?07L!890+!89)vM , m $aO9sO9P 1,8*+1028=!:A 1+%L+892$ $&!Z 0+$&%L!89!' +W!%%(')*8c ):[I 0c')]) m u>s T!: +%L+89!''c*!S7L]$&!28,Sn52)+]!**2890+')K h &3^% (')"!@- L2j/P1 +* +W!%%(')*8E ):[I08],2c+& +W!%%(')*8 \LE.**2889R *ghe 6T%(2'+W!,{ *Ko8*%8+# c8'0)6!c%('0+:[!89$c-/08R!*Z+%L*,*3 +W!%%(')*8I ):[ eYfhg[if %(2'+,2+$&@6!$&;,289R#%(2'+A+89!$])&08W$]!''!,=08>bK5%(*!'')Kc)R!8,4PQd :L Ws

O

M B M

%(2'+>!:,Z7(!,, 43( &+K.++$ !#N )R o89!R!c8+')6.RN07(')bK!PI c6!*89)o!:2+.9GJ,0 +%8.,2W )R ]8+'2)1$]0R!#+*89$&, M6&)j,*fhgCK f0k,-%#+K. *W0%L*828>89!,08Eh ^L53.%) &Kj/P !89)R!' +.9GJ*%I,*%L,A!:89!R!!,o!: "U(89+a!%*!'.%8.+!8Y75*K ;2+8#$ 4"!'&PdC Y+K.++$ A%(2'+;$&%8+,c9 5W08c,89)7L, ;289'!,*8"!', J +W2R h ) %j?!', %'!9 h &Kj/P" W+%(!*7L!89EG.HWu,F\L*89:[8$ #!)87L!89IG.HWu & 0 >\L"!:489!R!W$])R!890)]$&!8>+*6!*8!3.08 =8!0)=*!2+"!=\L"~.@=! *; #e<& `3 $2'))%(')A%(2'+08#]+89!)0;!K]W$&!3.0+'')+>$&!)1!,=!87()*+89*)bK=$2+7LW!*2+, :[!83!,X)+%( *89=!,X+8!%L+%( *89])88*R2'089))Z*!2+v,*:[.*2!: 1UV!'"$]0R! h ) 03 &3 !")2j/P}H %8.+!8c 0&*! !,')1$&+c!: +N\L]$&!&{$&!8N$&%(')p G.HWu%8.+!8c!$&$]!''08E!:V+*889! 8$]!''2$]0+,1 ')# E%('0+:[!89$l+896!*89+W Z+K. *E0%L*828!P"dCv $&.,!3 !')R0-/+89!~ ,$&)J!:" =$]0R!&7L$&Z'$])+,J75KJ &7L!$ , {!:" ]8!'0%L*828!3^7(2# =!')R0-/+89!~ 8+'2)z!:# vUV!';%8.+,y$]0R!o&$&%8@6!, 7L*K!, '$])!:#6!)!'W++89)%-b$]0% +K.++$]*P 0 !')~!*8+*8%8*+,c A%8.RW!:V A+%L!')R Y+K. *;0%L*828A,0I+*89$]a!:LIs289)*8 +K. W:[89!$&*!: &s289)*8W+89!+:[!89$t!: c$]0R!8 ()6.)bK 0c,8*+N').*0) )@- +rs289)*8&+%(!1!:A 1![7 +*P{ +N,8*+1!$&%(')Z08N+*8%L'0+, +]! @- +_8!R2'08;R!89,N0%%8!%890+W:[!8A6!*89+Is289)*8;+89!+:[!89$]0)175K= I6!*89+Is!+s289)*8 ?89!+:[!89$ Mhsasa WO9PdC)!'4,*6!')!%($&N !,v$]'08A08!>08E8*6.)*7(!+,== W!88'0)]!:^$2')')5!~c$]0R!*P )"[i +*;@0f 6(Vg 3Wkg//j .*j ,*k M m #HIO h "%3 7 53 !M72j"WbK5%(*!'')KT2+,{o c%8.R=!:+%L!')R C-CG.HWu$c0R!*3(7(2 !8')KN7L*T!,0%+,T:[!8W++89)%-b$]0%T+K.++$] h !42j/P m #H$&.,'; !')R0-/+89!~v*88!8>! &%( !+-/')K1:h2)v!:a +W!%%(')*8,)6!*89+A!,&89!R!A:[8$+*8%('!*08K$]0RR3+*88++89!' $]0%%(R3V!7(+*86.R1.! *288I!,{+v +&:h!,{75KSG.HIGo+K.++$]*P ; 0%+*8 ! @6!*89> Z!$&%('R8n52)8$&;!:a +Z+K.++$]v,*!' P AU(89++K. *0%L*828+08"+K.++$]+0%%L08"c >60!'07(')>2*'!FU(,c')+*89028Mh P !P)35! N+*89!'4$&%(!K=!8>2)6!*89)bK]8*%L!8 O08I E+K.++$]A,89)7L,1N #%(0+75(K 0 !' 4ML4ih L %j !,} 1p.%L*89$&!'!~ ++&+K.++$|!: N ?!~5K!{dC+)2+=!:> ?9 ')!R!KX,89)7L,} G.0+ *Xg & 3 4'&)ih )'&Kja!,JG.0+=!,vd ~!,.34'&"&\h )"!53 )ML2j/ P 9;289~. 089,! *g & 3 4'& h 42ja,*!'A]+K. *I0%L*828 +K.++$|:[!8&2+1X$&,*!'0%%('*0)*PodC 4'&!J!, 4'&"&3 ;2+8T%(27(' ,{b $&,2$ E+07(')]@6!*8c$&]%L*89).,W!:T$]52+]!8$&!81!,S 0Z 1$&,2$ E *82R + :[!89$ +K. *&0%L*828*PvG5) P )5P v!:Au') E S h )")2jA!E:h28 *8E,89)%)#!:A$&,2$ +07(')bKJp.%L*89$&*P= &82')I!:; ]%8*6.)2 #W)6!*89)bKJ!B: ;!+*87(28K G.HIG{+K.++$ ,89)7L,S !WK! 4M74 Z h &!2j?!,=8*:[*8E h L")53 & j/3 W%L))6!>82')!:^ EG.HIG=+K.++$];,89)7L,= !8')K!3 $&%(')pJ$2'0)o+2,) h 53 ")53 &753 )")53 L &Kj/3!,J %L))6!Z82')>!: > *3L!''Q.U(89$r 0 E:[!89$]0)v!:a]+K. *I0%L*828EN E.!o;6.07(')!P E%(2'+,v!%L*890)T!:!KT+K. *Z0%L*828Z+K.++$r82')T89!R!!,o!')R0-/+89!~o!$Z7()R2)bK ++89!? 0Q*!Z7L+*8%8*+,E!Q'$])R; "$]0%%(R;890+"!:. "+K.++$v30!8Q'$])R; "!')R0-/+89!~ 8+'2)1!:? I+K.++$vPHW$Z7()R2)bK=++89!A08I!')K=0CU(,NN!)87L!89IG.HWu +K.++$]*@+892,A7(!,, c$&%(')$&0)*Pa +>6!C)R0+!89I,*8,J 1G.HWu89!,08E6!*89)W+v7Lc0%%('*07(')Z+T088@< 7(!,, o+K.++$]#')Ko!, +&9 $&;,W7(!,, 1BH "d + !G.5H od +K.++$_08@6!*8,cI %(0%L*89475KIHW,!$]I h %j.!, ; 0'')43 DL0~. 089.30!A, 9"2 )*H8 h 53 ")53 L'&Kj/Ps28 *8 $2'0)}+2,)E!,}8!'"+(5!882')Z08N@6!*8,z 1%(0%L*89E75)K $?')!H8 *1g &Ih 4")2j/3u>)K!)S *g &gh )(.3 ) %j/3a!,SHW,!$] *g &gh 2j/P &BH "d + !G.5H odW%8 +I#v0-/!%L*890)6!&8+0899 S%8 +#:h2,, 75K %28!%L!-"$]$])}} N:[89!$&*S!2+!:[.*2c%8.,28 6!v7L*X0%%('),}+{ NBH "d + !G.5H odc+K.++$ !,z!') 2R 1BH "d + !G.5H odZ$2'0)S%(0%L*89Z @< =\L!:!')R0-/+89!~}*88!89*3a16!+)R0+N!2+!:[.*2 %8.,28W:[!8#8$&@60!'a!: +c*88!89*AP %6!{) 2> &2+!:"!2+!:[.*2#%8.,28*3L!8IJ:h!#d # $&!28$&*3Q ] !8I89!R!=$]0R!E%8.,2,{75KJ =BH "d + !G.5H odI+K.++$ 6!1 )R S+89!+NMh P !P)3 08E+ W07(')bK!:^ Wsa)+B %')$&"$&* .,=+c!**2890+')K $&.,'a c%( K.*!'a!,{')+89*!'Y9 089!+*89+*E!: &+89!,2*8E{+!:[b+%L!')R $&.,!3Y!,Xs T- 20 $]0RRJXJ2FU(, $]0 $]0*!' :[89!$&*08&!''^%8++,{J29 J=+89!+:[!89$w!%L*890)*3 7L! T!: 9 o08!')KT$&%(')$&+,TJR!*89!'?%(28%L+Z 089, c,*2)v{HWHIG.u !'+1R)6!I)R W+ 0".**2889RE 1+K.++$]%8." *%%0k ,-%I!')R0-/+89!~=7(!,, ]]!89,*8"+8$&@6!E!$Z7()R22 08R!*:[8$2,*89!$&%('),c+K. *0%L*828A$]0R!*2P ; 0%+*8 !I!'+Z!!')K.+Y A%(27(' ,Z+9 n52 :[!8#2%%8R&!8#6!,RN!$Z7()R2))>o+K. *0%L*828Z0%%('*0)*P#G5$&!:Y +c$&* .,W08 $&.,FU(,o+T0%%(')KT+T,7(!,, 43L')@%8*289+!8 +] )8>2+EN Ib$&!)o$&%L0)v+9 n52*P3$?$])0)AT Z0%%('*07(')bK]!: G.HWu !')R!!89) $]08#,*2+,4P m !+>R!89!,);!2+!:[.*2*3.$&.,FU(,&%( !+>R!89!,)"!2+!:[.*2*3.!,=%( !+ *2860028E!2+!:[.*2>08Z,*6!')!%L,v!,T6!+)R0+,T:[!8 )8>0%%('*0)1+1')@+=+08Psa!'')K!3.$&* .,;:[!8A E!**2890+ +*8%L'0)1!:Y$&%(')pN60!'2,v,0]08ER)6!4P &UV!'$]0R!=%8.,2,{75K o+K. *]0%L*828]%8.+!8 2',S7L]*!')7890+,}29 0Z%(Fp.' +)bKS8 (c N*0++*89RS8C-b+)z!: v').*0)}7LRJ$]0R!,4P{dCyG.HWu cZ~.@X! *;@0f j *Cg * 5f ,X, & f 6*;!ghf j c!, *0++*89RI%(089!$&*+*8Q~.@&!Y 1 *;@@*R,?*+j 2%,ghf j NMhu GO93c+08 >*0++*89RN%(089!$&*+*8IW9 089!+*89+,{75Ko) %@, F?, !g 2g 6* ,?*+j 2%,ghf j T!8I)g *5 *+g Cg *%6 g[i h ! 53 4 2j/P s!8I!**2890+&*!')7890)43V)WW08KT+N$&.,'? +K.++$ $&%(')*+')K!3af ,?& k 0f Z !:[+{*R')+, 8!'.!8$&%(')p&!$&%(')2,":h2)*PQ Ya+%L*!'')KZ$&%L!8!Yc,;7(!,, 0%%('*0)Q *8 +Z!$&%(')2,#:h2)$]KWVj!g^7LE+!*5P ;!')7890)N2R& +Z,*+*89$]+#+!W!'')@ $2'0)o*88!89#!8I@6!*89)R I+v7L&n52~.')Ko,FU(,{!,J!')KJ!88+, M[ +&*88!89I08]$]+,{): $]0R!&08v087()+89089')K !89$]!'' 9*,}+ 2)bK}2RJ v$]`p$2$ $]0R!v%L O9P 9"KX*'2,Ro$&%(')p +!*3Y$&%(089+I!:s289)*8Z+89!+:[!89$]Z*!'*2'0+, 6.v =:h!+Zs289)*8Z+89!+:[!89$ Mhsasa WOE*! 7L $]!,I) N )8522!!8 & K!gh5f ,:[!89$]*P

2

M

K K M M

R , *& !#" ')( P

T:['')@RS08R2$&108J,*6!')!%L, :[!81)R!'&%(089!$&*+*89'9*,y75Kz$&!3 3A!,y!R2'08=!8=89!,! :[8n52K!3 P +S08R2$&v08{n52!'')K 0%%('*07(')o+ )R!'1%(089!$&*+*89'9*, +*89$]N!:+%(0!' n52!))c29 z!&,+!!3 2?3!,X c,01>!8892%+,T75Kv 8*%L*))4PA !7(+*8600)J+892): !8 X08!'')@2+,Jo+K. *Z0%L*828+K.++$]W*!J7L,89)7L,TT+*89$]W!: % & f cfhg2%:h2)*P>H 7(!,.-b'$])+,E8!'.:h2)43 M O93 6.RI!&!$&%(')2,:h2) M OQ!,%( !+;:h2) M OQ0#*0889)*8

M

K K M M

89!,!N:[8n52K #$]0 $]0*!'')KN,89)7L,175KSM[%74\h &L2jhO

M O3j M ?O a M O5M h M 5P LO E!$&%(')2,W:h2) !M O;A]')@')K=6008K.Rc:h2)v!'+&8*:[*88,N+=!A I6!')!%LE!:Q E)R!' P dCT Z89!R!,$&)N!:Y +K. *E0%L*828Z$&.,' 3 >!$&%(')2,#:h2)T8 (> Z%%L,FpcH ;289'!,*8!(, J +W2R h ) %jhO9P;G.!$&%('RI0" W$]$2$ !'')@K.n52+890+o!$&%('RP} W ? & f .-*%%I*Jk 6,?K a P !8 a P 8*%8+& vp.+=!:W Ts289)*8=,$]!z 0=&!$&%('),z75KX T+K.++$v3;!, !'+S8*%8+& ,+!I@6!*8W 9 N A!$&%('),v:[!89$]0)N8*%L0v Es289)*8>,$]!4P s!8c 18!'60!'2, +$&%L!89!'")R!'E2+*8,X}+K. *10%L*828=$]0RRJ0%%('*0)*3? ? &G% %0eY5f !g[iz1bK5%(*!'')K $29 '08R!*8N ! S+89!$])++, 'f M& %0eY5f !g[iPlu>!,08T+K.++$] bK5%(*!'')Kv+89!$])#=,Z7(!,, o)R!';Mh$]!K !9`O>07L2#N )R J*0889)*8W:[8n52KXMh$]!K .!9`O93 + C>K.n52+I890+1!$&%('RTE27L!%$]!' P= *8=08=b)R!'5R)6!&75K M OQTM 5P LOa*!]!'+I7L;8*%8++,&75K A8!'.%(08Y!:L) ,9j &G *% %6 M6&) j E!8S,9j &GW ]j0k[&'!g2%W*%2*%-6(g !ghf j3 M O a cM O3Q *8& ]$&%(')p $&.,2'0+, )R!'4AR)6!v75KSM[%%L(`- L1!,v% )'& h M72j/3 %%7")@- 4 h &L2j/3 %% (`- h 42jhO

M O3j cM ?O a M Op.% h M 5P &!O 9"*!2+')KE%L))6!":[8n52*)ap+YZ $&%(')pc$&.,2'0+,c)R!'.)aY!'+#~.@c!Y ;-b,, :[!89$l!: M O9P ?&R!*890+Z ,9j &G % %4.*j *- !:Q Z)R!'L:[8$ Z$&%(')pv$&.,2'0+,v)R!'

"

'

O

8n52)8" E8$&@60!'^!:Q Z*0889)*8_ M ?O a cM Op.%QM Oga M Op.% h M O3j M 5P 7O W2+W!:Q$&%(')p1$]0 $]0*A$&%('FU(Y #$&.,'RZ!:^ I+K. *W0%L*828W+K.++$l,*8907(')K!P HW'+35!"$&+"%89!*!'(+K.++$]%L*8:[!89$!%L*890)= W$&%(')p]7(!+*7(!,,=!$&%(')*3 !'+Z $&+0%%8!%890+I:[!89$]0N 9 v+=,*6!')!%T E%8.R&$]0 $]0**P W6!*89)=!:? *%%&6C>K.n52+890+#!$&%('),=)R!'(+c$&%(')p=)R!'("$&+"!')Kc%L*8:[!89$&, 75KN8$&@6.R= *R0)6!:[8n52*)>v c)R!' P; ?N!9 )*6!,o *3( )R!'^>s289)*8W+89!+:[!89$&, !,v *R0)6!Z:[8n52Kv$&%L>08+*>+ 9**8PA A!%L*890)o !')6! Z)R!'4%L@K.n52+890+&!$&%(')E89!,08#)R!'W+1) *8#!J+*89$&,0+ :[8n52KN$&%(')@K!,43#!8T )R!'INdb-CB !$&%('),4PwG508o+K.++$]v!%L*890+}0T)RFUV*!')K ')@P J!K=!:^ #$]0%%(RE!%L*890+!89A6!')6!#$&%(')>`p;*!'RP %Yp.%('*)')Kc+0R #9 !R!#!: 6008907(')I 82R v Z2+E!:Y]$]0%%(Rc!%L*890+!8W$&%8@6! Z*'089)bK1!:Y$]!KN!:a Z+K. *E0%L*828 !')R!!89) $]*PJs!82+,Tv ; !,T,*0+A *8I *Kv08Z,UV,4P

!!

!!

!!

!!

!!

,-. / O -. / Y -. / _I-. / g -. / jk-. / n -. / n B]-. / r -. / to-. / tuB-. / w -. / x -. /

M

K K M M

1'1' &'$H*%1)-.N,3*.3B=')C9U &(,3G')F/2&>,3G')-,3 g1)-.,3=2.3)g12.3*>+)+ &'$#@ $%*.3 ,3G'"! &(,3G' L,3G')+ +O

10 324 56 +7+81! 96$;: 6+# =a" b 10 324 56 +7+81! 96$;:

=a"U$%"

:+( :+"+#

=a"!$%"

"

`= o$%" > :+( :+"+#v`= o$%" > "> )$ > v ] 10 324 56 +7+81! 96$;: +z,*6!')!% X,)R)!'>+K. *o0%L*828o%8.+!818n52)8] J2+o!:E o:h!+ s289)*8I+89!+:[!89$ Mhsasa WO9P^ &,F\L*8W7L*bv E!89)R!'4!]8 &)%j !5f , &+0+c!,v ,0=A8*:[!89$]0+R]!X8 9if .2g %E+= sasa :[!89$w%89)!8A+= sasa !,J S ):[+,J7(!~J+v &')!R*!'Y+0+]0:[+*8E!9 $&%(')$&0)J!: &sasa !8E6!*89+&sasa Mhsasa WO9P 0 ]2R @- + sasa *3 Y ):[RW!%L*890)]a~.@]!I*k @*;(8g 9if .ghf !PY $]0 $]0*!'

O

M B S

%(!~00R!@JHY $?H59 %L*8:[!89$]; Z!88 - +!, @- + ):[;6.c I:h2) h ( %j/P ?Tp.%('!{ ]%8!%L*8)#!:; &%( !+=:[!89$]0){!7!,S6.v!}sasa 8'0)6!]+oT522 s289)*8?+89!+:[!89$v30^!)*8Q+W,*8? 0? ;,08*:[!89$]0+RcMh ):[R5OV^%(08?!: "sasa }!%L*890)4P ?1$]0~! +)J*')083V ):[R&!%L*890)o8*:[*88,T+=p.%('*)')K!3( @')$& )R!* E%( !+EN I:[8n52K @+89!$])++,=)R!':[8$ ').*0)^2Q+&j 5f ^?!: ;$]0RR%('0+:[!89$v3`*RP)3!:[!8aW++89)%-b$]0%$]0R!!30 60!',Z,0>:[!8Q%8.R 08N +N+$&%L!89!'A!$&%(')c++c) }9 5&:[8$ 08R!*]').*0+,z) X{+08R!* +%L+892$ v7L$& 3 O M 6 ?O at8 ^8 . p Q % M

2

M 5P @O X X 9 vA8'0+,v+] E!89)R!'L+%L+892$6. M 6 gO a M 6 O *p.%QM 0 @O M 5P O T8,UV))X!:# 2-b`p=$&.,FU(c T%( !+T:h2)& T:[8n52Kz,$]!y29 y 0] *K 08&@++!,o!:#5M 27683!O alM ( 6 (O93^ 52#Jsa)RP 5P Mh,VO c%( !+ *''0)? 6!AW$29 c')@!: "%( !+*''0) 1p.+8$&')K$&%L!8!1 2Rz+*8%L'0+!891+ %L*8:[!89$ $]0%%(R=8n52)8, +$&{!:Z +K. *I0%L*828#%8.R&!')R!!89) $]*PY 52*3 I8,UV))=!:Q 2-b`pA!89)RN !Ab,3 & ='*%=' *%=2.3 )-.,.N&'F46*.3"K ,3G') : 8A ,3G') +*%@ @ )+-,3)C9U9',N :

'A8;+)-.3*51%9'92)C9H='NGH,3G,D,3G')BJ2 *.3 $% &U@ )+L,,3G') +)+&>,3)-. *4 ,3G')g9',N :7AD,3G')M.3)C@1., *4 ,3G') "#$%)g1)+-,.3='"K.3)C@ !: A8OB:A : 9A)!+ )+&>,BC@ +='@ ,3 *%& *4 ,3G') "#$%)g1)+-,.3='" 7>/ .3)-46)-.3)+&'+ &'$ 1'G)!,3*(,3G')H+)+&>,3)-.5*4L,3G')!9',N( &'F,3)C%9 *4L,3G')#J2 ?*.3 $% & :AM,3G')H+*%@ @ )+-,3)C9W9',N ,3G U.3)C92)&')C9! J2 " A : 9A ,3G')L.3)C@1., *4 ,3G')L.3)C92) &')C9!9',Ng1)+-,.3=' " %.3)C@ : $# ' # : A 8O G')M9'G')C9H@ &')+ &E: 8A &9Z:A &92 C,3)C9H,3G') 46*%=2. =%9K.N&>,3 ,3G,.3)BG' 4 ,3)C9H12.3 *.D,3*,3G') % G' @ )?:7A &9Z: 9A G'&* S,3G') *%=2.3 )-. 9',N*%72,N &')C' 9 K M,3G') 4 ,3)-. ,DG 7)+)+&#G' 4 ,3)C9!7(H &>,3*g,3G')B@ *%$% C@ 46*.3"#,CO G')B@ &')+ &E: 8AD&9 :A 4 .3*%" ,3G') *.3 $% &U,3*g,3G') ,N.3$%)-,3 &92 C,3)B,3G')M92 1'@ +)+"!)+&>,3 ,3G, $% 8).3 ),3*I,3G')1'G)46='&'-,3 *%&' & :7A &90: 9ANO

M

K K M M

+n52*x)"8*%8+; W!%$]!'L$&* .,1!:?*!'*2'0R #$]0R!I+%L+892$!,=!7!" #7L+ ,0&:[!8>+*8%L'0)4P A8'0) )%&oM 5P OY!!')!R!2+ER!*890RE7(!+*7(!,&+$&%L!89!',0I:[8$$&.,2'0+,&,0.3 *RP)3( I+89!$])++,v%(2'+ M ?O a M O *p.%QM O M 5P ")O d :Y Z9 5>:[8$r $&.,2'0+,v%(2'+E!:Y& !8*3( )R 1%L@YvMh O9Pz +T+ *!''),z )R ghf %0eY5f !g[W i *+j 0k ,gZM >YCXZY9OZ0:[+*8N%(2'+o$&%8)43A J89!R!J8+'2) 1,*%L,=')K )R!'7(!,, 4PQ 2+!:4%(2'+A$&%8)]!'+Z82')]!=8!+>])R!'F-/+0-b+ZM/G CWu#Oa 0 ;%8!%L!8)!'(+] I$&-/7(!,, ]%8.,2;!:Q I+89!$])++,N%(2'+W h ) 03% )('j/P;G. !8;%(2'+; 6!Z $&-/7(!,, 1%8.,2A*')+E+=2)bK1+] )82+I82')Av=8!+EoG CWu h ) 03 ; 0%+*8 )2j/P >:['')@R27(+),89)7L #$]$&')K]2+,1$&* .,!:^%(2'+>$&%8)1!,=%8+; -b,$&)!'(M - +EOQ$]0RRp!$&%('); @R>)Q2+!Pa + - + p!$&%(')Q08;+,,Z!a%8*289+!8 +] Eb]'0+*8>+0R!N I%8.R]!')R!!89) $vP

",*8Y - +$]0RRI)20) *8A$& a !,c89!R! 12 08,UV,c:[8$ !$&A!89)Rc!,& :h2) M524O,89)7L W:[8n52K=!,N!+%L;,*%L,08R!*A8 ( )6.)bK]:h2)4PY >8)6!, !

)R!'L:[!8>]$&.,2'0+,N%(2'+ cM O9x 0>*3 M 5P "!O cM O?a M524O [ 2 276

!A I+$&%L!89!'^s289)*8+89!+:[!89$ 2 M ;O?a cM ;O 5 M 4 2 O . p %

2 [ a cM ;O M524Op.%QM 24O 2 M 5P MLO a cM ;O M 5O a cM ;O h (M ;O3j 6 [ *8&*3

M

K K M M

M 5O?a

M ;O a

M ;O cM ;O [ M 5P M7O a h WM 3O j [ M 5O M 5O 6 at8 LXZY '[ *8= N%(2'+=$&%8+,X+%L+892$ cM ;O ! 2 )bK $]0R)2,=@6!*8& U ]j0k[&'!g2%v7(!,, h LXZY 6 LXZY-j/3!,v Z6!*89+I!%L*890+!8 Z%L*8:[!89$]; Z5!89,0+I+89!+:[!89$ _ M 5P 4O (M ;Oga M [ O 6 %8.,2*RJ7(!+*7(!,y+%(0!';8 ()6.)bK _ 5M 24O a M 5O M 5P )(O XZY Y XZ a ? 2 M 5 4 2 O [ [ =$&%(')p}$]09 , UV')+*8,}$]0R!=+$]0+ 5M 24OIZ+*}+J7L=T7(!,.-b'$])+,{!8$&5! ,}6!*89) !: c08R!*E:h2) 5M 24O9PZu>!R!],')!7L>,2c+N ] -/:h2)JzM 5P )(O#08]22!'')Kv2%%8+, 75KS`a cBeM[ .M XZY O93L *8 cBe 8 (W 8+'2)1')",2>+c!v.!.-/R!RvG.HIGVP

!

!

!

!

!

'

!

3

!

+2*6)1

P

#%2?+*:0(")3>3")# 0D*:! ! +

!

>u !,08A+K.++$]; 0;+89!$])2$?s !8],if* 1)R!') N )R N*0889)*8"+&7(!,, &890)TMh )R Nn52!')bK :h!+!83VBEO$&%(')@K=6!*8K=q1*)$&* .,1!:?%(2'+W$&%8)1~.@N!X^6*; h ) 0327 2j?!8]^%,if* h %j

M

K K M M

%8.RP dC ,*89!$&%%8.R3A J8)6!, )R!'W1!1%(!+, 82R X$]09 ,UV')+*83)1 ++!, $2'))%('),zMh$]Fp.,VO>) ST,'K!, 6!*89)S!:" ]+89!$])++,)$?s %(2'+!P] I,$&.,2'0) !%L*890)]82')]!]2+%(2)R!' 0!+.*0+,]) & X %,gC* k[ !:4 %(2'+$&%8+,]%(2'+!P dCS2$]$]08K!34 ]$]FpR=!%L*890){$&%(')@K!,S75KJ,*89!$&%S%8.R f ck[&Fg j0k-& K]%L*8:[!89$]#vs289)*8 +89!+:[!89$w!,v%( !+E$]09 R&!:a A $?s )R!' P E$&.,2'0+,v$&%(')pN:[!89$l!:a I+89!$])++,$?s 9 )8%T SY O 6 M 5P )"!O M ?O at8 >Y p.%?M *8 SYZa XZY >Y&M !9 ` O## H ,if * *;!2g B3 XZY## ,if * %0eYf5!g[iv!, >Y#W ,if* &G6 g[iP& %8!%L*8)&!A: $?s 08J,*2+,yG5) 5P !5P 0P_ T8)6!, 8 (+,9 )8%)R!'=n52!,89028 ,$&.,2'0+,;M ^%,if * %O75K $]FpRv 1)R!') }T8*:[*8N)R!'8*%8+RT =8*289 :[8$|

K5%L! **!'L08R!*089!R! 0 h 7 53% I!,1% )"!42j/PdCv$&%(')p1)R!'L!0)43 ;$]FpRZ!%L*890) 0 h ) 03% !('!2j M ?O a 5M 24O [ 2 2 [0 a 5M 24O

[ 2 2 ^8 0 '[ p.%

0[ SY [0

0 '[ 5M 24Op.% 0 SY at8 SY

M 5 2

0 @ O 5M 2 0 @O 276 [ [ [ M 5P )MLO *8 I" *; 4 ^!2g %I)R!'L')R! N 9 1A,*2+,1 !8')K!PYHW2$]R:[!8A I$&$&A 0; n52!,890Z+*89$t~.@{!W S *%- 5f 0k & @5f ^!j ([i I*!J7Lc)R!8,43V &$]FpR]!%L*890){*!J7Lc @ +]R)6!Z,)8')K1!$&%(')A!:Q E%(2'+I$&%8+,T+%L+892$ _ M gO a M O M 5P )'&!O a 4 8 * . p Q % M 0 `O M 5 4 2 O . p Q % M

24 O 2 SY SY E,9 )8%v!8>,*89!$&%T!%L*890+! 8 Z%L*8:[!89$]; E$]0%%(0R _ M 5P )M7O M O SY [0 6 9 v !A @ ,!!7(! M ;O?a .M SYO9P

!

!

!

"

!

O

$ K K Z M

#8 ()6.)bKN+$]0+E!7!,v:[8$l E,*89!$&%L,v,0] 5M 24O a M O M 5P )4O SY ] M52 0 O 6 a ? 2 M 5 4 2 O L[ [ 9 &E*!'),437(!,.-b'$])+,6!*89)&!:L A08R!*"8 ()6.)bK!PY A+*89$ ] M52 #0 @OQp+Y7L*!2+A89!R! 2 W,UV,o:[8$t $&!89)R4x4)#W22!'')KN8$&@6!,{75Ko8,UVR] 89!R!c!89)Ro+N 8*:[*8 89!R! 0 0P +W*89!$&%L, %8.RX=%L!%(2'081 }G.HWu $]$2)bK ,2J+ )1')@< !$&%('R 8n52)8$&*P N!$&%('Ro!:W v,*89!$&%L,z,0J.**289&0]S$29 ')@Y9O93 #8n52)8,N!$&%('RZ890+E;$29 v')@+3.!8;'08R!*8" !435 #9 )8%1')R! 4PY W,*89!$&%N!$&%('RI890+#JM 5P '(O p*,= o!$&%('R{890+o8n52)8,z75K +!,089,yn52!,89028o,$&.,2'0)43!,y T8*289oM[9 5 O :[8$ 08R!*c%8.+!8?%L*8:[!89$&,#%(2'+Y$&%8)I2R; 5224+89!$])43 :[8n52K}$&.,2'0)M ; s SOZ,2!'F-b,$&.,2'0)}9 $&v,89)7L,}-W2R *gX&Hh L('j/3",Nu5H*g &Dh )42j4!(, !WK!;!, W2R h & j/PYdC] W!$&>Y 6 >Y 2j;R)6.Ro '089')KZ++!!*2Y:[8n52*) M O h LXZY 6 LXZYNj( *8A >9 )8% 7(!,, 1# XZY?a SY >YEM !9`O9P #WRJ N%89*)%(')&!:W+0)08K}%( !+ h M753Y % )42j Mh+*oH>%%L,Fp HIO93 v0%%8p$]0+N:[!89$ !:> s289)*8A+89!+:[!89$l!:a E$&.,2'0+,N:[!89$l!:a A+%L+892$l6!')6!>s8'^+*R!89!'0 h M72jhO9P d :I}'08=s )R!'AYOW+T =')R! S!:" =$&%8+, %(2'+]M 'XZY O93P C>!+ 0 52$Z7L*8A!:Y%8.+!87()A%L*8>,)R)' 9*,T)R!'^!$&%(')=M[%8.+!8>+%(2'+ !,v!')R0-/+89!~T$&%8)T!,N Z!$&%('),v)R!'4')*6!' P

'

!

!

'

"

M

K K M M

0 cW!,N2%%L*8;:[8n52*)*3 E!, 3)A"%L )7(')>+]9 089!+*89' 9*E #%(2'+W%(089!$&*+*89ZM[7(!,, 43 *0889)*8 !,T.UV)+W:[8n52K1%L O6.

6 Y5a 6 X Q a a M 5P 4O

'

Q

WR& I%89*)%(')>!:Y+0)08K1%( !+!3 E0%%8p$]0+Z+%L+892$ cM ;O;

Y Y cM ;O 8 *p.% Y [' Y Y #

Q

'

'

M 5P !(O

%n520)_M 5P !(O= @] 0= J$]0R)2,v!:I !Ws +%L+892$ =!$&%(')2,v$&.,2'0+,y75K

!, 0v {6!')!%LS:h2)t8`M Q O12,*8R!5vz.-b'08v,++!8) ,289R} +89!+:[!89$]0){:[8$t c$&c+v c:[8n52Ko,$]!4PZ W.-b'08#,++!8){,5#!E`\LI 8:h2)43 @,6!'2) UV')+*8O dCs Ha (Y')!R X Q Y M 5P ! O u>!R!",')!7L4*!0R!E7L2%%8+,I2R+%L+89!',Z7(!,, T)R!'?W$&.,2'0+,o+v1*0889)*8W:[8n52KT!:+*6!*89!' .!9!34+N *0889)*8Z:[8n52K-/+0-/7(!,, {890)o!8cn52!')bK{:h!+!83B3?!:A =+K.++$|Z )R 4PN +1 )R .-CB 89!,08 +K.++$]"bK5%(*!'')K&+89!$])3 $?s 9 )8%(!,18*:[*8;+& $!+W!%%(')*8"+')*89!;*!T!'+&7LI8*:[*88,v+=!X*-*+j0e %0eY5f !g[i&+K.++$] O9P

"

'

P

(+1@! * 0D# ?+*:?

1 *6$ #%

M

K K M M

!

$?08Ws !,o K5%L*87L'#s L7 ')R&+N],*8>*'!!:Y%( !+Z$&.,2'0+,v$&! 0 Z2+E!:Y.,,v%(2'+;:[!8W$]0%%(R&!'+=&6.07(')I!%)4PdC v,)R)!'a0%%('*0)434 +&n52!')bKc,2A+E \L!:L+'):V*'2++*8WMh+* ,*2)* ; 0%+*8 !O9P ;7(08KE%( !+$&.,2'0)c9 $&$]$&')K 2+,c&G.HWuy0%%('*0)Q*'2,!x 9;08~!*8.,*3!%(+2,0-/89!,$+;+n52M m Bu CIO93!$]`p$]!'.')R! +n52NMh$c-b+n52 O93 !W2.\4$]! .,*3a!, %L')K5%( !+].,*PN =!!')K.I!:A$]!KS!:; +=%( !+ .,>A,*!'),T& ; 0%+*8 7c!: "5!~N!, 9"*89:[',4 3 4ML'&\h M72ja!,TN8*:[*8 h )53 453 2j/P

#' &#, ! -y " ' $" R +!)' &# "$

P

R

>u !R!1,')!7L]')*6!'ZS =%(2'+]$&%8+,},0o081,)8')KJ8'0+, +o 1!$&%(')2,c!:A 1$c%8+,1%(2'+,1+%L+892$ h M753% & j/Pd :?S !g ,i0%UV &Fg26*#Mh P !P)3*'2,RE!K1!$&%(')2,>\L O;;2+,1:[!8 %(2'+E$&%8)43 o E%(2'+Z$&%8+,o+%L+892$w>!'+] 66*5 MK %,gC* k[ !:Y Z+89!$])++, %(2'+!P= ?o!7! ')@< ,')!7L&')*6!'E)ZE22!'a+J!,, T!2!'+$&%L!89!'#+W!%%(')*8Y+')*89!>Y*')+')KR!@6!*89,]75K R -&) j ,F\L*8A7L*bY\a !($]*3A 088@0%%8!%890++Z80889!R! >,*7(!,c6!').*)bK]++89!oM 5P !M7O+Z7L>E++89! v Z9 )8%T')R! 4x 0>*3 a ( 7'& 6 M 5P !4O >Y ( 7'& LXZY LXZY *8# I!')R0-/+89!~N6!').*)bKN;++89!,N+ .M O9P #WRc IDE)F-CG.HIG&%(089!$&*+*89A07L@6! !,X N8*%L*))}%L*89)., a ( )0*3 v$]`p$2$ 9 )8%z')R! X%8,+,}75KM 5P !4Oc 0P L0*?P #)6! 0> ;60!'2E')A !T E8*%L*))N%L*89).,43. ZDE)F-CG.HIG=+K.++$r !]%8!7(')$];) N+$&%L!89!' +W!%%(')*8*6!1 =2R ; s M >Y5a O9P 52 #DE)F-CG.HI@G $?s %(2'+*!17L>,*8(, +W!%%(')*8 g/j &G6*;(ghP %6!] ]E+$&%L!89!'#+W!%%(')*8!!')K.,*0+Y 0E%(08*2'08Y$]Ko')!K 2+W$&** +W+')*89!#8n52)8$&*P W!!')K.+;!,v= #%8*6.)2+)A @< 0; W!:4 W$&+"$]$&10%%('*0)Y8n52)89RI+*8%L'0)] W8!RI!8;,8!RZ!:4)R!' ? & f S*;!2g 75KN+$&E890)!'4890)JM O 3 E!2!' &)j , !ghf j N!:a E*< !$&%('))88')*60!*P %8.,28Z:[!8cf ,?*%% f &N)R!'W!$&%('R]890+c75KXM O M OW!#:['')@*xV &)R!'QWs289)*8 +89!+:[!89$&,43Q%(!,,, ) 9**8Z+ 3Y6!*89+=+89!+:[!89$&,43Q X,*$]0+,43a~!**%(RT')KS*6!*8K PGQ !$&%(')ZM[ a8!$&%('R#$&* .,]a%(08Y!:4I$&!8R!*89!'.U(',c8*:[*88,c+Z! c[k &Fghf *;!2g ? & f h 453 ! %jhO9P s!8+K. *;0%L*828;+K.++$]*3)a? A!$&%(')4 &)j , !ghf j E 0Ya$&%L!8!a!,Z +A!$&%(');').*0)a08 Vj!Vg & -b,$&)!'0UV)+"$&%(2'+Y8+%L+#MhsQdCu#O ,)R)!'VUV')+*8P v+*8%L'0)X!:W$&v,$]! :[!89$]0)zc,*!';+S:[8n52KX,$]! +*8%L'0)43+ #+)S,*2+#+*8%L'0)o:[8$ c$&c,$]!4PZ ?v,)R)!'')KT$&%(')$&#N+*8%L'0+!83 )WW08KT+{Cg * [k , !2g W cI:h2)4PW $]0 $]0*!'Q!%L*890)o8*%8+R= +892*0) !%L*890)JW1$2'))%('*0)v!: cI:h2)o) o=8W:h2)4PW >$2'))%('*0)vo $& ,$]!N8*%8+A&6!'2)v) 1 E,!'L')@ 7(!,, N!:Y s289)*8W,$]!XM[ >$]Kv o*!2+!'!R]!:a s289)*8W)R!'[O9PA A*! 7LE:[2,o ; 0%+*8 )]!2: ,0~!@!%89!*!'^+N,)RT!T+$Z7(')E!:a8!$&%('RcUV')+*89A+1 !,')I!9 {*!+!03 j & K ([i #V &F2g 6* f $&%(')@K!,J!W!oq1*)#$&* .,T!:R!*890R= Z8n52)8,vUV')+*8>:[8$r\*+j!g/j!Cg K #V &F2g 6*+$&%('0+!P> %8!+!bK5%LEUV')+*8W>=!$&%('),T6!*89)T!:Y +*8%L'0+!83V29 o!W I+*8%L'0+!8W,89)7L,T07L@6!!P 1UV')+*8c%( !+;!:V $?s t9 )8%(Q89!R!08;%L*8287L,29 c 0 X ([i ,-6(2g 6* !:!''?08R!*#o c 6!&R!892W89!R!c$])R!890)o').* P> Z%( !+++89228 !: c9 )8%{)R!'?XM 5P L")OW>8 0%L,o75KTN$2'))%('*0)N) J!! *8I)R!'^) J19 )8%o890+c 0 &$]!''L:[89!)v!:a I!89)R!'4s |890+!P J2'))%('*0)N!,v8-b0889!R!$&R)6! M ?O at8 >Y p.% SYM `O *p.%QM SY O M 5P L5O

p.% M O *p.% SY 6 at8 >Y M O *8E,$&)') A ,if * ?, & f c[k &Fghf & f 6* 3( ?, &G%H,if * *;!2g > a SYM O M 5P L"!O !,v Z*<%( !+E+*8#A').*0+,o0 a M 5P LMLO M O +,]p.%L!'.+*89$ ] ;UV!'';!:WM 5P L5OY*!''),c + ([i 4*%- 5f 0k & P +#289R# ;UV!'++*% !:V 9 )8%]*!'RI!')R!!89) $v3! a%( !+A+*89$a'$]0+,6.I$2'))%('*0)E75K $&%(')p& 2R0+ !:a I%( !+I8,2!' P

'

'

? Z,*+*89$]; \L!:V 9 )8%]*!'RI& A89!R!8+%L+;8n52)8a +%L+89I!:V >)R!'*P I7(!+*7(!,T+%L+892$!:ZM 5P L")O *p.%Q M `O M O 8 . p %

M 5P L'&!O LXZY SY SY

O

K

!,N E7(!+*7(!,v+%L+892$l!:Q Z9 )8%T*!'),T)R!'4 M 5P L5O M O 8 L XZY@ M SY O *p.% p.%QM

M O 6 M 5P LM7O *8E)*!T7LE+*v 0> I\LW!:a9 )8%o*!'R&A+]%8.,2E]+%L+892$!:a7(!,, XZY*M O ) cI$&.,FU(,c$]0R)2,A07L2I*:h2)4PQdC= W89!R!- +W!%%(')*8 !')R!!89) $ E ):[II!9 )*6!,X2RvT$29 ')@!: ,7(!,, J *!8K{!,S+$&]!:" ]$]*%)#!:A+K. *&0%L*828c *!8K{08]8+')6!,4PcdC %(08*2'083. E!88W+*8%8*0)N!:a I\L>!:Y52''L2%%8)N;R)6!4P 1\L]!:> v0%L*828N89!,0)}%(0++*89&z+K. *N0%L*828v+K.++$]&08N!:[+y!88')K $&.,''),4P %+%L*!'')K1v,I7(!,, 43')@ *8I Z89!,0)v%(0++*89> 6!!:[+T7L* ,*8,N+5=,Fq1*2')"+=$&.,' PY A9 0%+*8W @ @< Z+%(0!'F-/+$&%L!89!'L8+%L+#!:Q,I7(!,., N!)6!$]0RR&+K.++$]>*!v!')K17LI!8%L!890+,T+]$]0RR]$&.,'A!,v6!*89)v9 $&*P Hy+89!$])++*8>M[!88)6!*8O? 0YR!*890+WM[!88)6! O?) &!cn52!'.8+%L+!3,*%L,?!:L!R') >~.@{!#! j f ;0f *%%,ghf j &L')$&*PEHWJ$]F-b,)8)!'^')$&IcMh$]0 $]0*!'')KO>,*8, +& 6!E!N.UV)+$]!'')K$]!''(%( K.*!'(p.+*P" ?&++892A!N0%L*828&M[!8!+O) N8+%L+ @6!*8>cR)6!v+',N!R')INcR)6!v,)8)N&52$Z7L*8;!:Q +I$]F-b,)8)!'(')$&A*!v7LI+%(!, @6!*8T}b')$&%(0++*89"+*8:[*8 ,9j 0Cg * k ,ghf M6& K>')Kc@6!*8A!R')"+*8,N07L2 W!89$]!' +N c0889Ko:h!TM[ &0889K j *%- 'f 0i5gOW!,J%8.,2N$]!o7L!$t!8I$]!J')!7L@6!*8EN+',J!R') 0 ,*%L,^ A,$&)^!: ;%('!08a0889K!, ":[8n52KE!:( "*8R' 9R#)R!' P?d : "')$& v 0889KT08Z*8R' 9*,o0W,F\L*8>$&*3 o)WA%L)7(')#+ 2g 6*! , .*j ,*k A $]!T')!7LE!:Y 0889K]+c!K]R)6!N,)8)43 bK5%LW!:?0889K=~.@1!;1([i % *-*;K0P" W+*8:[*8W%(0++*89"!: ;*8R' 9*,&')$&Y) c8+%La+Z!R');:[8$ A7L!8)R a!:V A0889K&08A~.@&! % 0!g 2g 6*-0 3

"

B

0f*%%,ghf @fhgCKX0!g g26*-0A!8]*;@0f5!ghf jS0!g g26*-0!,v8 ( Z!R2'08A8+%L+#!:Y!T0889K!P A+*89$ 6* ghk[*% R!*89!'')K8*:[*89a+ZE$]0 $]0*!'')Kc522n52!)bK!3 *8!Y A+*89$ *-*;K "

8*:[*89a+I A%( K.*!'.$&%(')$&0)!:L!&0%L*828;75KI!$&%('RW!%L*890) *8;')$&08').*0+, 0!9 J!$&%(')I').*0)4P !>@0%L*828>+K.++$]"*!=7L>!,n520+')K&+80+,=75K +*%(0890RZ 89!,0)]%(0++*89]!')R0-/+89!~=!,= )R "+Eb%L*8I$&*+*834!: ]0889K!PZdCJR!*89!' M O>#$&%(')p ) ]')@')Kc6008K.RZ!$&%(')2, M OY!,1E%( !+> 0;,*+*89$] * *8 >8!'V0%L*828W !!K ++**89R&!8:[.*2Rc%L@%%L,Fp=HIO"+]R)6! 2

. p % 3 M 6827683O cM ;O M O 2 3 . p % M )5P LO cM ;O M A O 2 3 2 3 . p % 6 a cM ;O P M 6827683O 2 3 *8; !$&%(')2,":h2)!8 & fhghk ^ 0!g 2g 6*-c*!')a:[8$ -/!:Q Z0%L*828I:[!8 I+89!$])++,T)R!' M O;A M 6827683O P M 6827683O P cM O P ] 2 [ 3 6 M )5P 7O 2 3 *8I ]f V[k & ]*%- j 0!:a E0%L*828 M )5P 4O P M 6827683?O a P M 6827683O 6

"

KO

$ ' '

8 (A E0%L*828I8+%L+#+=!T$&%(2')6!>%('!#*3

M ( 68276835 O a cM ;O P M 6827683 O M )5P )O N!88'0+,z7L!$|%(0++*89 *! !'+{7LN+*8%8*+, !c N;8*%('!,v75K 2 5M 3 O 06 M )5P !O *8J J%L'08N5!89,0+1!:E J%L{5M 27683O=08{R)6! !S5M 06 iO a 2 3 6+! 5M 3 24OP ,?&' 5f , &E*;@05f !ghf j S0!g 2g 6*-v; 2 3 . p % Y M 6827683O cM ;O M Op.%

" 0 2 3 M )5P LO 2 3 . p % 6 a cM ;O Y M 6827683O 2 3 P *8I ,?&' 5f , &$ & fhghk ^ 0!g 2g 6*-3 PY M 6827683O93V; Z*!'),v6!*89)v!: Y M gO a M O p.% 0 p.%QM O M )5P &!O 0 a M O p.% H $&%(089+1!:^ #!$&%(')2,%(0++*891%8,+,=75K=*'!*!'L0%L*828W!!')K.{M )5P &!O) = !$&%(')2,I%(0++*89o%8,+,v75KTs289)*8W0889KT *!8KT}M )5P !O> @ 0W *81,F\L*8Z6!')6.R Tn52!,890+*89$ Mh!2!'')K!3? *8=08] )R *8I!89,*8E+*89$]I 0I08E%L*8:[!89$]Rc!T208KN0%%8p$]0)4P #&% _

QP B B 8

+ 1E&)# $ 8""0&)# * " +C1@"? 4141@"0D* :

a

'

'

# ?"8"B1E&)# A1@?"1E&)#A3"1E& &7*6 $ # 0/8"! +4!.&7*6*6 + "

)#%1@?

?>%8.,2>78!,,Y89!,0)I%(0++*89430 "''2$]0)W:h2)43` P !P)30 6!')0R!;!8Q*288?!7!] W07(')bK+c+8'( W 0%LA!:4 >89!,0)&%(0++*894P +E,'K.A+89!'0+I+1&$&%(')pv''2$]0)]:h2) _ NYM 5O a M Op.% h M 3O j M )5P 4O dC o$&%(')+&0%%('*0) M O&*! 7LT2+, +X$]0R!Jz J08+- U(', !:# o0%L*828T75WK .*j ,*k f v89!,0)z%(0++*894P s.*2R}&!9 )*6!,y75Kz T+*8)z!:# n52!,890 Mh K5%L*87L'1):W vp! p.%8)SE2+,VOW,'K{!:; ]+89!$])++, )R!'Y+T ]')$&!8E =0889K!P1d :;o'08E,'K

'

B

>!'+1+*8+,43( o Z7L!$r%(0++*89J*!J7L\g2 6*%%!8]?, %0P#s!8Wp!$&%(')!3L): M OHa 4MFc O *8E 1:[.*2RT%(089!$&*+*8&!,c Z 1++**89Ro%(089!$&*+*83Y N08+- U(',}!$&%(')2,&%(0++*89 %8,+,N75Kv*'!*!'40%L*828I *!8KN Y M 8x 0?O a NYM Op.% 0 M )5P (O a M Op.% (M cYO

0 a M cYO :[! 8 a 0 H;= T:[.*!'A%L 0.3" o!$&%(')2,N%(0++*89 & T!$&J!] T:h08+- U(',z%(0++*89 +*8, y+%(0!' :[8n52K M[ T0%L*828v&++**8, + '08R!T!R')c0\ 7L!8)R *3" )R *8 !89,*8%( !+I+*89$]*!2+E Z!$&%(')2,W%(0++*89T+]78!, h !(.3(% )0- )'&Kj/P N%8.&!:#''2$]0)S:h2) $&.,2'0)X&$&!8vR!*89!'A ! )&$]KXU(89+&0%%L08Pz :h2) M OA!')` P d Z#%L)7(')+o80+of * 5f (gY7L!$ %(0++*89I75KJ$&%(')@K.RTN:[8n52K{,*%L,! 9 )8%S890+ )P1 ?

$

'

#

#

#

#

#

"

KO

]$ 0~! W I07L@6!#p!$&%(')W 6!Ic+!A!R2'08"8+'2)=!: Y 3. #0%%8p$]0+] 9 )8%1890+.8n52)8, A Y .M @ @O9P m 8*6.)2A\L!8+=R!*890+!R2'08>60089!A7L!$l%(0++*89> 6!Z:[.*2+,v ~!**%(Rv ]')R! S!:; ]0889KS+!Z) {{522c''2$]0){:h2) M OE6.o 1%('!$&c!:>$]F-b,)8)!'Y')$&c*6!*8K

'

B

!')R=c8!'^0%L*828I!:Y')R! #A:h0789*0+ 0889KZ 6!"%( K.*!'p.+a!,E 52? 6!" )8^@Z89!,0)I%(0++*89*P c')$&#8+%L+!3 `M O93?#!8%L!890+,{+N &0889KJ$&.,'Q6.1N6!'2){) J &!$&%('), 0889Kv''2$]0)]:h2)v M )5P ")O*P I89!,0)N%(0++*89T!:Q A:[!89$!:Y0889Kv M gO a *M O `M O M )5P '&!O d :Y ')$&I !W12):[!89$w8+%L+!3( {)W !W=89!,0)o%(0++*89J) o52''*6!*8K a @3 *8 " #')$&A')R! N!, a 6 6 `PYd :^ #')$&A08I*')+')K]%(!~!,T1 #0889K!3 #

#

'

#

#

#

'

#

#& #

#

'

KO

#!,T c52'';!: Z')$&>89!,0)T%(0++*89 kF@*%- > ZR!890R1')!7L>T 0889KT:h!+!8P

a

5G ) )5P !o @ @< Z!+%L!:0889KS *!8K} !E7L*X!88')KS0%%('),S+J+K. *=0%L*828 *!8K!P 0 o,*+*89$]Rc 52$Z7L*8!:Y')$&WT=+08W0889K!3V Z:['')@R]$2+7LZ,*8,4x( !$&%('),{''2$]0)T:h2)S$]K{*, +$&&:[!89$ !:;!$&%(')2,0%L*8I+T8,2& ],')!7L#{ 89!,0)o%(0++*89434 c*')+*8I c')$&#08c+v$]F-b,)8)!' 3( &*')+*8# &!$&%('),J''2$]0) :h2)N0%%8p$]0+; E522;:[!89$vP I52$Z7L*8;!:?')$&N!v0889KNA!'+&++89!,N75K :h0789*0) '$])0)*P=s!8p!$&%(')!3Q ],&7(!,, S,)RS!:; 1DE)F-CG.HIGo+08Z+89!$])++*89 82')+,Tv')$&) T=n5208E:h!Z!: '&`$]$w!9 {,!3')Kv0:[+*8W +E+89!,2*89` 6 M )5P M7O L *8 ; Z++**8W!R')I!:a E0889K h ^L53(% ( 2j/P HW}2++**8, M[78!,,`O#0%L*828=!c!o')@+=' *%& .3)++)+ 8)(*%&'@ / :7Ag1'G)C9 ..N+/ ,3GW46*>+=' *%& ,.N&'"! ,!&9 .3)++)+ 8) :Ag &'$%@ )!.3)++)+ 8)-.IF/2&>,3G')-,3 #..N+/ : 9A"I='@ ,3 1'@ )I.3)++)+ 8)-.HF/2&>,3G')-,3 #..N+/>O .N&'"! ,,3)-.5)+@ )+"!)+&>,35.3)U &92 C,3)C9 7>/ ,3G')H9'.(8)-.G%92)C9E7*CJ2)+" G' @ )I,3G')5.3)++)+ 8)-.g)+@ )+"!)+&>,3g.3)I &92 C,3)C9E7>/Z,3G')I@ $%G>,3)-.?G%92)C9 7*CJ2)++O *,3)5,3G,M,3G')IF/2&>,3G')-,3 ..N+/2LG'&* &(.3 ) *%&'@ /U&9!,3G')B@ *>C,3 *%&' *4 ,3G')1)-.,3=2.3)+L92*>)+L&'*,.3) )+-, ,3G')-,3=@ @ *%&'$ ,.N(#3"!1'@ )B1+ &'$% .3)C=' .3)C9U7>/U12.N-,3 C@F/2F,3)+"!+O

QP

y # 0/8"! # &7)1@"!

& 1@"?

)*:0D*: *9)*61@B 14))1/-

sa)R28 )5P M[7LOY >$&!8R!*89!':[!89$!:4R(i[% *-*;K0Ps.*2R]!:]%( !+,o0889KT !W)!89)RTv 0%%8p$]0)o2+,T+ ,*89)6! c*'!*!'?89!,0)o%(0++*89J!:!{0%L*828NMh+*TM )5P &!O O9PI $&!8c!**2890+& *!8KT!:%( !+, 0889K.;,*6!')!%L,1 ; 0%+*8 )535!:aG52$&*~. 43 44\h ^L2j/3 @ 0;Z7L*++*8;8++892)=!:4 W08R!* U(',S#!7!,S6.1 =6!*89){!:" ] *8')KS++!8, )R!'# ! #!7!,S2RN ]*'!*!' !!')!R]7L!$l:[!89$]Rc+9 n52!P H *'!*!'7L!$ :[!89$]R $]0RR}+K.++$ *8')Ky,*+= o9 z)R!'i h ^L53;% 442j/P 0%%8!9 y'$]) T!R2'08&8+'2)X!:W v%( !+, 0889KX+M )5P M7OPzdCz v%( !+, 0889K 6!*89)

KO

9 $&c`\L!89,,o75Kos289)*8#0889Ko$]0RR3V:[.*2R=W!#08K!34!,o c!R2'08W8+'2)T!: 0889KN7L$&>,*%L,;T Z++**8W!R')*308R!*W').*0)*3(!,v+89!$])++,T)R!'L*!T7L#:[2,NT%% ( &- (@7&!:G52$&*~. h ^L2j/P

R +B* )*:0D*: *6A!.-+&)(+*/&) 0214))1/-

d : 0>$&%(')@KT=R') 0%L*828E:[!8#+89!$])T!,o8*%)4P> ,+%L*89)v+*89$v3Y5M 2 3 O93LT c,$]0+!8W!:cM )5P 4O WR!*89!'')KJ!*2+, :[!8I75Ko$&c6008K.RNR!S*)89*2)#J &8)6!*83?+T#,8!%%L,J{ c:['')@R $]0 $]0*!'^,*6!')!%($&*P d : A!)6!>$]0RR#+K.++$ a$&@6!,&+I#%L .?3! c ;89!,0)%(0++*89&QR)6!c75K zM 6827683

.4O9Pa 2+%(2^!: "+K.++$_0Q%L .?30+W "9 5Q:[8$ >:[8n52KE,*%L,*3@!+%La,*%L,

B

08R!*U(',N!:a8 ()6.)bK M527683O93A$&.,''),v! &M 68.4O 5M 27683O zM 6827683 .4O 2 3 a cM ;O M527683O P M 6827683 .4O M 6827683 4. O *p.%

!!

!!

!!

HW')+*890)6!')K!3(N I$&E,$]!v A cM 68.4O 5M 27683O P M 6827683 .4O P M 6827683 4. O P

!!

2 M53 4. O 2 3

M )5P )(O

2 M53 4. O

'

[

2

3

'

M )5P ) @O

dCv Es289)*8>,$]!v!:Q Z0%L*828!3!8 .-b`p*3?M )5P )(OA7L$& 2 p.% 2 3 2 3 M )5P ) O cM 6 .O cM ;O cM .O 5M 27683O T6!*89)z!:W &$&.,'Ac v7(!c!:# v,*2+,N789) (KN{G5) )5P !=!, v,*!'^& ; 0%+*8 !5P I0%%L089!#!:? ]ghej 1 E,'K=p.%L!'V!:EM )5P 4OA$&!; 0; I890+ !:I9 !R!o!:# T%( !+o M )5P )(O P !P)3" o+!!*2=+%(0!'A:[8n52KM +W!%%(')*8=2+W!:^$2'))%(')A8)6!*89; !7L*1+*1!;$&* .,=:[!8;0+:[K.RE W!')R0-/+89!~1!$&%('RE8n52)8$&Q!:(+K. *;0%L*828"+K.++$]*PY +89!$])a0%L*828"+*Y2%c#+%(0!'!$&%(')I+%(!*RA!: &08E7(08')K1!,n520+v$]!KN)20)0 h ) 03 ) 2j/P v+%(0!'!$&%('RJ8n52)8$&]&*'!*!'')K}8*:[*88, +}! Sz {G.HWur')+*89028v,2T %(08>+N!{!88#+*8%8*0)o!: ZR!890RN')!7L2%%8R&\L#!: 8!'Q0%L*828Z89!,0) %(0++*89 h !")2j/P sa)R28 )5P )J*')089')KSp.%('!E N!89)R !: :h2)4xsa)R P )5P )MhOc*!X7L1+*8%8*+, !E 10889KS:h!+!8c!:A 1+K. *]0%L*828=0:[8n52K 3Q IU(R28=E:[!89$&, 75K{ 1!')R0-/+89!~ $&%8)TM[%( !+$]09 R5OQ!8:[.*2R#!:L !')R0-/+89!~])R!'0 +!%]!:4sa)RP )5P )M[7LO9P a!')R0+89!~=$&%8)]:[!89$]$]!=')!7L>0 . a (!,]R!890R')!7L+%(!,10 > *8 a 6 6 !, (a 2 .M .O9P" #U(89+52''V!:a E8!'^0%L*828I89!,0)N%(0++*89T.**2890 .\a 2 P" E!$&%(') +%(!*Rc8n52)8,N:[!8 A52''L+=2%%8" ER!890R]')!7LI a 5P ]+*8%8*0)!2$&1! f ,9j *-*%%,g#+n52J!:E*6!*P J!88N+n52{= @ sa)RP )5P )M[7LO93Y 1!')R0-/+89!~ %( !+=:h2)}0Z =+!%X!:sa)R P )5P )M[7LOEE &,K.!$] 89!R!E!:Y IUV!'^$]0R!Z+$]0+!PAdCT!)87L!89G.HWu_+K.++$]*3( *6!*8# 0%%LA!> m u>s +1 )R 0Z 1+%(0!'7(!,, {!:; 10%L*828=Z!')0A Ip.%L+I!: 8,2,v,K.!$]W89!R!ZN IUV!'4$]0R!I+$]0+!P

+ &-!SR +R + &-! R [" y R ! -' &#! &#' R % & &#!)' + '! !) !)' '')( R

%!

0j e 6*! f5^6&)j -&f}g[i0 !k[&'*\*%- j0xQJ189!,08#+K.++$ $&%(')@K.R= &!$&c0889Ko:[!8#+89!$]) !,T8*%)o c$&.9 8$]0Z!$&%(')2,I%(0++*89J:[!8#2):[!89$w''2$]0)1!:!J0%L*828Z!:')R! cM 68276835O a M .M ?O+O9!,v8)6!*8#)A%L)7(')W+1522')K1''2$]F0+Z!J08]!:Y+*8+*PA A522>''2$]0)1$]KT$&5! T2> Z!+%LW,*%L,I!:Y+$& 08R!*>!,T !%L*:h2'')K]28; 0>&08R!*W08Z$]+,4P

%!

8*+j Cg & `x5 ') ;+89!$])++*8 z++1:[89!$&*,3)C9!F,.3 1 "#1 :AD72.3*8%92 92)1*,3@ $%G>,& &9 : 9A3=' &>,3)C9#1*,3@ $%G>,CO G')g@ $%G>,BG%92 &'$H ,3G')+*%@ @ )+-,3)C9 9',N2,3G')g9'.(#G%92 &'$H ,3G')%@ 9Z9',NI4 ,3)-.M12.3*>+)+ &'$2O

" )! ' ! "[y )! 'R "$

R -+&)(+*/&) 021435*67&)8+)*,

14 +

# ?+*:!

!7[+)6!&!:"N+K. *c0%L*828c$]0RRN+K.++$ W+N!7!{!{+$]0+&!: &!2+!8I') +8$]0R*N8 ()6.)bK}!:> v08{!:W+*8+*PXsa)R28 P T @ v$&.,&$]$&')K $&%(')@K!,z75K +K. *&0%L*828c+K.++$]*Pcsa)R28P MhOI!, P M[7LO# @< 78!,,c!,Sn52+, M[:[!8+v ]08v$]0R!,434 ')Z &,08~!*8 !,Rv8*%8+E ]60!', ,0o0:[+*8Z%8.R(P 0 }2RTT++89)%-b$]0%}+K.++$ +J$]0R!=o$]!'' 08R!*;08.3Z'08R!>!$&2!:4 >8!89,,=,0Z,*089,,]0:[+*8"%8.RPG5%L!')R $&.,>+K. * 0%L*828#+K.++$]A++**8 #8!'40%L*828W7L!$%(0++*89N+&522')K=''2$]0+ I!$&I08R!*08.P ?7L!$++**89RW82')Q!$Z7()R2)bKZ++89!Q 0Y08A')a+*6!*8; ! +;:[!8Y6!)!'++89)%$]0%o+K.++$]A!,v!'')@A$]!''408!A+&7LE$]0R!,N) 2; @,*8,1) = Z!%L#!:Q ; *x I7(!~5R!82, 8*:[*8>,*0+,voG5) 0P !]!T:[!89$]0)Nv +Z+K.++$]*P

2O

M

QP " ! */&

K

y #8+*6 (+#B#%%)143C(" 0 3")#%35*67&)*:! #%$0D#

3CB*

14%*:!

? {!7!z!X+$]0+N!:W!z!7[+ c8 ()6.)bK!3"+K. *10%L*828N+K.++$]U(89+Z!7!z!z+$]0+ !:Y Z!7[+XD^j0k[* f 6*gC*;0.*j*- @6!*8I1'$])+,v+*W!:+%(0!'^:[8n52*)*PA S,9j &GTf -ghf !g2 c6!*89+cs289)*8W+89!+:[!89$r!: >,0.34!,J =f -ghf !g2#> $]0R)2,NM[!8I$]0R)2,n5208,VO!:Q Z$&%(')pT$]0R!I+$]0+!P" Zs289)*8>,0&!7!,v75K1 ,9j`0i 6*%6(g?$]0RR]+K.++$r +*89$&,}j V*$g D^j0[k * f 6*!@!g h " !2j/P" ;+*89$l8 (A I:h! 0>s289)*8,0&!7!,v75K= Z$]0RR +K.++$lA!+*8,T07L2; I,$]!1!89)R43.7(2A;+*8,o07L2Ac6!'2)&!:L A+89!+:[!89$]Y!:L !$&%(')2,&!, %( !+]:h2)E,)6.,2!'')KO;!$]0R)2,=:[!89$]0){@6!*8&o'08R!=%(08E!:A :[8n52K=,$]!4PY 52*35 *;j ([i X ]j 0[k &'!2g -Zg[0i X Mfhghk ^Ef .*j *- !ghf j ]@6!*8>,>8*R)N!: s289)*8>+%(!+] 0 Mfhghk ^&/j .Zg[0i !*% %,ghf @fhCg KE$]Kv7LI8@6!*8,J:[8$l0\4+*#s289)*8>,0bh " !2j/P ;A+!'')K= E!$&Z,c 0>2+,N+]R!*890+ ')!R!89!$]*P #)6! E*0++*89RJ$&.,' 3Q)EE%L)7(')c+o8@6!*8&!yf -ghf !2g E!8Z W 0f *;@,ghf j & f cfh2g % f 3 5M 27683O 3Q75K{!7!Rvv+) !:;0\4+*Zs289)*8Z,0 M 6 O9P= ]').*0)S!:" I0\4+* ,0z !vX\LT {08R!*T28:h!S!, 0%L{:[!89$]0)!, JUV!'#$]0R! h " !2j/3

@`

HW')R0-/+89!~v8+'2)43 ] 3 ^+_>`

$

M B

G5+89)%-b$]0%o.,

G5%L!')R A$&.,

[ XZY

[ XZY

@ "#$%).3)+*%@ =2,3 *%& &(F,.3 1 "#1Z&9U1*,3@ $%G>,BF/2&>,3G')-,3 g1)-.,3=2.3)g "#$%)++O

#89< ,0v 2,*8R!5#%8.R3^6.v+*8%L'0)W!8E%( !+]$2'))%(')*3L+T%8.,2c &0\4+* s289)*8?,0+*8,082,#7(!+*7(!,E# 08Z6!*89+E+89!+:[!89$&, !,T!,,,T *8')K=+]R)6!Z]')@!2+# !R2'08",)6!*89)bKc!:4 #+%L!')R +K.++$v3. P !P)35 >89!R!>!:^')*< !8;++**8A!R')!:4 >8!'7L!$ %(0++*894P ],*!'),S!!')K.#!:;!9 }$&.,]{ I9 0%+*8 @I 0E + *'! 48'0) )%(W08=vR!5., 892')I!:Q 52$Z/7 :[!8>,*+*89$]RUV!'4$]0R!I8+'2)4P p.+Q!:. ?,)8')K>8'0+,Z+ +"$]0R! 8+'2)o8'0) )%(A6. XWa ] 2^+_>` !b, X a ] 3 ^+_>`Mho89!, `$1O9PE Z89!R!c8!'V0%L*828*3 *8*:[!8> W!')R0-/+89!~=!$&%('RI890+#!'+,*%L,+')')Kc] ')R! 4P #!')R0-/+89!~N8+'2)=K.n52+Z!$&%(')]+%(!*RPT E+0+$&

2O

M

K

A]$]$&*83.8+'2)v!: ]A!9 )*6!,T75KN%8.Rc Z!')R0-/+89!~+W!%%(')*8 8!'?0%L*828W08 !,,T+18,2Z ,')!7LT Z@6!*89!''Q0%L*828Z7L!$w%(0++*8943 $]$]!'!'!Ro.**289*PX v9 v!:W J+%(!*R{75KX6!)!'WG.HWuw+K.++$]c82')cz!'! 08R!*0%%L089R1+$&E$]0R! h 4M753 ) 2j/PAHW)87L!89W+K.++$]"bK5%(*!'')K=!$&%(')W I!')R0-/+89!~N)R!'V+ :[8n52')Kv 0#!'!R1W!#1%8!7(')$ h ) 2j/PcG5) P )5P &,*2+ +&!$&%('R]8n52)8$&W $&!8E,*!' P I7L!$w++**89R=2+,Tv+%L!')R $&.,E,2%(')A E8!'?0%L*828E')R! v:[8$l Z!')R0-/+89!~ 8+'2)4P# c!')R0-/+89!~{8+'2)JW++!,{,*+*89$],o75Ko c+K. *c0%L*828c')R! {!,J 89!R!o:[8$ JJ+*8P_ o8!'>0%L*828J')R! y ')K !1+z+*= {''2$]0+,X%(09 ,!$&*+*8c!,z)c+''+* v!')R0-/+89!~X!$&%('RT8n52)8$&c08K +S!,n520+')KX!$&%(')= %(09 4P !')R0-/+89!~1!$&%(')W+%(!*R+''*,"+7LW0A')!+ c+c!,n520+')K=!$&%(')> . +W!%%(')*8 +%L+892$ !:I T08R!*=) z o+%L!')R &%(09 M[ ]!$&%('R{8n52)8$&=]!=S%8!7(')$ :[!8 !)87L!89Z+%L!')R #G.HWu+K.++$] O9PI 0%L*828')R! o!:1+%L!')R W+K.++$ *!J7L$29 {')R!*8W ! 0!:>J++89)%-b$]0%z+K.++$v3Y!:[+X 2R 43Y N!$&N+K.++$ 2+,}:[!8c7L! X++89)%-b$]0%z!,X+%L!')R 0%%('*0)*P G5*6!*89!'L!:? I\L!:Q&,)R)!'L$&%(')$&0)1!:Q+K. *#0%L*828#%8.Rc08I!:[+T)R!8, !8&!&$&),z} N')+*89028!PS =U(89+8'0+c+{ 1%( !+N$]09 R{ 0&J~!*KX++*%yX!'' T+K. *v0%L*828T6!*89)*P %( !+T$]09 R}cbK5%(*!'')KX0%%('),z!=S$2'))%('*0)X +$&%L!89!'!8v+%(0!':[8n52K M[+ W,8*+W028>!:^ W!$&%('),=)R!'[O9PY \L !:Y >6!'2)Jv+*89$]>!:$]0R!c,++!8)T$2+>7LZ*'089FU(,4PA $]0R!,++!8)o>$]$]!'L:[!8 &%(2'+c$&%8)S!,S9$2 S$&%8){!%L*890)I,2c+T &:h!E 0I!9 %( !+]$]09 R !%L*890)Z!?+W$&%8? ")R!'!+W>$]!E%L0~#) E')@\LA!:? +#!%L*890);= I$]0R!I,$]!4P !>@!%L*890)43L c0\4+*Is289)*8I,0N 2',o7LZ%(!,,,o+T0I')!+Wb E$]!'L7(!,, I X a ] 2^+_>`}!, XZa ] 3 ^+_>`S7L*:[!8IR!*890)T!: 5M 27683O P

"

!!

&

*6

+#B#%@-/ *6! # #%

1E&)0(+*:?

$

M B

B &7*6 +

&!$&2#!:0\4+*Es289)*8E,0N!7!,{{!''Q &+K.++$ $&.,'##'$])+,o75KT&!8E$&!8c!: :['')@Rx W0%L*828A89!,0)&%(0++*8943 >89!R!!:^++**8"!R')*3!8" +89!$])++,&%(2'+A7(!,, 4P 0 {,*6!')!%(RN!{6!*89)J9 $&c:[!8# c+K. *0%L*828c$&.,'W)#>%L)7(')E+v2+) *8#! 6!*89+=UV')+*83a29 X!c&0S*8ZUV')+*83Q!8&J$]09 ,}UV')+*8Po 1$]09 ,}UV')+*822!'')K{R)6!Z N$&+ 8!7(2+8+%L+!Pa >2+%(2!:^0S*8UV')+*8"22!'')Kc !" )R *88+'2)] !1$]09 ,=UV')+*8",2 +J =:h! 0Z ( 0S*8ZUV')+*8Z$&%( !' 9*E 1:[!89$]0) 0 =,R!Z!:A =0\4+*cs289)*8,0.P !>@dCJ !%*!'Q%8.R=!: c)R!'^UV'$v3L!')R0-/+89!~J!$&%(')2, $]09 R&A!9 )*6!,N) N !,,1+89!+%(08*)*3. ')> I%( !+#$]09 R]"+!'')K=!9 )*6!,v) Z*!'(')*Pa ?89!+%(08*)Y) & >!88;')R C-b!$&%(')2,"+89!$])6.)bKZA+!'')K1 Z*0889)*8 +*89$ !:^ #!')R0-/ +89!'~ +W!%%(')*8;)R!' PQd :4 W8!'V0%L*828Wn52" 35 = W0\4+*As289)*8;,008 +*8,1JM 6 ?O a M 4 6 ^ O9x5 . +W!%%(')*8"+8,1 ]R)6!175K a C P 3 +W!%%(')*8a890+Q $?s r9 )8%c890+07L2a +W!%%(')*8Y+8,c:[8n52K!3cW78!,,"!89)0) :[!8>c08R!*W089!R! 2 I);R)6!T75K 2 a 6 M P )O *8 a@ !9 `Y!8 !, A+%(0!'+W!%%(')*8a890+!3 3ac$ h "L2j/P 0 &,!'RW) 0+'')+ R!*$&*+89)*3? * +W!%%(')*8E+8, !, +W!%%(')*8I890+=$2+I7Lc+89!~!,X{!89,*8I+T%8.,2c:h2'')Kv:[.*2+, $]0R!*3 A+89!~.R],*2+,N h 4'&Kj/P

!

'

!

!

!

y'8+)*:! #%$

*6 &

!.-+&)(+*/&) 0 1435*67&)8+)*,

14%*:!

IG.HWu $]$2)bK=n52!FU("$]0R!#n52!')bK&6.E W:['')@RIU(R28!:?$&*89)*x.89!R!W8+'2) ] 2^+_>`Y3 !')R0-/+89!~{8+'2) ] 3 ^+_>`a3? &%L0~-/+0-b,')!7Lc890)}M m G$?u#O93L ]+*R!890+,},')!7L890)}M[dG$?u#O93 >!')R0-/+89!~1!$Z7()R2)bKc+)R!'890)1MhHWHIG.u#O93.!,] >89!R!W!$Z7()R2)bKc+)R!'890)1Mhu>HIG.u#O#h ) %j/P G.!$&%(')I+%(!*R;!:Q Z%(2;,0oM P 6 .O"!,v I2+%(2$]0R!=M 6 O"08Z!'+]2+*:h2'V%(089!$&*+*89*P J!Ky!:E +J%(089!$&*+*89N08J%8,07(')T:[8$ {+K.++$ %(089!$&*+*89*3W+z$&%(089+y7L*b+1$&!P Z+$&%L!89!'?s289)*8>+89!+:[!89$]!:cM P 7O>!,zM P 4O 08 cM 68.4?O a cM ;O 5M 27683O cM 6827683 .4O p.% 2 5M 3 .4O 2 3 M P (O

!!

2O

B

S K

!,

M 68.4?O a M O M527683O cM 6827683 .4O p.% 2 M53 .4O 2 3 6 M P "@O *8 "7(!+*7(!,$&.,'@< !a$&.,2'0+,Z!,Z7(!+*7(!,n52!))*3!!, cM ;O !, M O 081 =%(2'+=$&%8+,z+%L+89.PJ =%(2'+=$&%8+,X+%L+89J0816!')!%L1:h2)E 0c+8' 1')*6!'!: =89!R!N,')!7LE ]UV!'$]0R!!P #)6!} 0c)+$&*$&08K +J+89!$]) 2):[!89$ $]0R)2,#%(2'+#Mh+*I I,*2)1TG5) 5P LO93 #%(2'+#$&%8+,N+%L+892$$]KN*, T,@< :h2)}0%%('),S+S)E+S$&5! X)+%L+89!'8+%L+!Po =%LZ0 9 } E,@< 0%%('),NA,*2+,v,289R E,*6!')!%($&!:a!9 o6!*89)v9 $&!P )R!'Y2+*8,] ]$&.,''R#+K. *0%L*828+K.++$]08W9 089!+*89' 9*,=75K&!$&%(')2, $&.,2'0+,.-/%( !+$&.,2'0+,1Mh5H T- m SO4:h2)*3`*RP)3! +89!$])++, $?s %(2'+?!,Z!Q?+* !8')K!3 {!')R0-/+89!~)R!'*P {!$&%(')2,T:h2)=!:Z +S)R!'N08S')@')K 6008K.R3>+z S)R!' 7(!,, S+*75KS =%( !+1$&.,2'0RT:h2)4PT 52*3Y)E 1%( !+=:h2)E!:A N+K. * 0%L*828E$&.,'A 0W08Z$&%L!8!A o,*6!')!%(R]6!*89)T9 $&!8W T,*+*89$]R&!$&%('R !,v!$Z7()R2)bKN++89!*P

!!

R

&#' )! 'R "$ %! &"$+

35#%)1@B ?+#

1@ >1@"?

R

R0 89!R! 2 03 0>AR)6!v75K M P 7O 2 a 2 h

hM >52''F-/+0-b52''., ]0%%8p$]0+')KcbW )0,#9 , &!:4 >89!,0)&%(0++*89VO9P2"$Z7(RI +%(0!'Lp.+>) N E+%(0!'^9 )8%v890+ER)6! I7(!,, 1!:Q Z!')R0-/+89!~T)R!'5_ 7 M P 4O X #a "7(!,, N$&%(') 0*3+=6!,o+%(0!'^!'!R3. E!$&%(')E+%(!*RAv!')R0-/+89!~ $2+c7L Pz c!$&%('Ro8n52)8$&&c!'+S!7!,z6.J v52'';2%%8)}08R2$& R)6!} ; 0%+*8 )53a @!:a )0#, 9 , N!:a E89!,0)v%(0++*89ov!')R0+89!~VP dC)!'(+K. *W0%L*828>%8.+!89;2+,N+%(0!'F-/+$&%L!89!'V,$]!=%8.RP %089')K=!)87L!89#G.HWu +K.++$]W%(2'+Z$&%8+,J c9 5Io 8)6!*8I7L*:[!88!89,R= $t+1UV'$vP# 89!R!8+0'2)=!:Q +E+K.++$];$&%8+,N,0.P #,0!')R #').*289)7L,]2"75K] m G.sS:[!8" 0;%L"$2'))%('),c75K >$&%(')pc 2R0+>!:V m G.sJ%( !+!,c 82')YY+*R!890+,4PG.A A8!89,,],0EY!$&%('), {18!R2'08#R!89,43L!,J c').*2#WN522')Kv6008K.R=:h2)Jo7L! >!$, .?34 W6!*89) 9 $&=8n52)8I+*8%L'0){:[8$ =!$&%('),S,0o2882,R= ]p!Z%L)){!:; =').*2I !, .?P #82')!:Q!''V "%8.R" #60!'2W:[!8cR')W$]0R!#%(Fp.'V!,1 # ')W%8.;$2+ 7LA8*%L0+,]:[!8*6!*8K&$]0R!%(Fp.' P ;')089')KZ YY$&2$]RPaH>:[+*8%8.R3!9 ]%LY08R!*" ;$]0R!A !a>89!R!A!,!')R0-/+89!~8+'2)ZR)6!c0%%8p$]0+')KI75K ] 2^+_>` ] 3 ^+_>` [ .M XZY O 5P G5* %'!9 H h &3L%% )'&%- )M72j/3 ;289'!,*8W!, J +W2R h ) 03L%% 7'&%- 742j/3?!, 9;087L*W8 h &KjY:[!8I,*2) T,)R)!'4+%(0!'F-/+$&%L!89!'L%8.+!89*P "BH "d + !G.5H odaG.HIGI+K.++$_!%L*890+Q) Z8!'F-/$&!3!+%(0!'F-/+$&%L!89!',$]!43`$&-b,'KI7L!$c:[!89$]Rv!')R!!89) $ h 2j/P= &p!E89!R!=$])R!890){+*89$ yM P 5OII2+,43?+v =+K.++$ :[.*2+E2R Ep!>%L+%8!,N:h2)}M P )OEMh+$&')+*89028#8*:[*89+] A$&* .,v!:a%8.R&! S ^@,g $&* .,43a @8907N!R') p.%L*89),S75KS ]+@%8.RZ7L*R*3 = #6!'2)!' 028]!:A 1!')R0-/+89!~X)R!'$&!Z 0Z!9 z89!R!1']E:[.*2+, :[!8c!}!')R0-/+89!~}p.+ 0 ,*%L,W 08R!*Z89!R!!P1 Q08R!*0E ],R!E!:; =!')R0-/+89!~S7(').~{081!I:h2'')Ko:[.*2+, !E )8 :h2''>+K. *J0%L*828J')R! ,89)7L,voG5) P )5P )= 2',v!'+]7LE0%%('), + #s289)*8A,$]!=7L*:[!8>%8.,2*RE >UV!'V$]0R!!2P ; 0%+*8 &E!A$]0R!"%8.+,12RZ :h!+C-b!88'0)T!')R!!89) $vP !WK!>!, W2R 43 44 ih & j/3(!, !W,$]!v8n52)8; E+%(0!'^s289)*8+89!+:[!89$!:a m G.s _ =M 6 8x 2 @? O a ] [ M 8x 2 @O p.% 2 M P O 2 ] p.% 2 [ *8I *; ] c'f M*;!ghf j &)j ,*k N \ *; j @&G6*\j 0f 1:[!8>c08R!*W0/2 # M 8x 2 ?O a 2 M .O M P ")O !,v E08R!*>0>89!R! 2 I89)7L;2]').*2AN E$&- +W!%%(')*8>$]0+89Fp1R)6!T75K *M 8x 2 @?O a [ 2 ?h M .3O j M P 5O *8I ,*[k * !gh[k *% %( !+07L*8890)Wo 89!R!- +W!%%(')*8#!')R!!89) $

"

2O

B

S K

*!2+,]75K& n52!,8900%%8p$]0)43 ')Au>!*K" %(0%L*8",*89)6!Y >p!"89!R!- +W!%%(')*8;)R!':[!8 2$&%8+, $?s %(2'+0 h '&Kj/P# ?1~!**%{) T 9 8')!R*!'?!89,*8W!:Y >9 0%+*834=,*2)v u>!*"K A89!R!- +W!%%(')*8>)R!'^;%8++,ToG5) P )5P N,289R E,*2)1!:Y9 )8%T*!'RP #)6!y J8!89,, ,0Xy o7(!+*7(!,43;%(2'+T$&%8+,43A89!R!- +W!%%(')*8N,$]!43; o89!R!+W!%%(')*8]6!*89)y9 $&Jcp.%8+, !]b,UV,T@6!*8I !')R0-/+89!~o%8.R]7(!,,\ X Wa 89!, `$tM[ )0#, 9z, &!:L >89!,0)&%(0++*89VO9P 89!R!W,++!8)c!%L*890+!8;oM P '&!OE$& ,$]!J!%L*890)S 0E8n52)8#! +*8%L'0+!8I) {89!R!&6008K.Rv5q1*)*(P o+cG.HWu %8.+!89 $&%(')@K 0- 7z%Lv+*8%L'0) ~!*89'*3I! 0++$&%T+y+89!,*0\!**289!K :h6!28o!:%8.R +%L*, h M72j/PtM C>!+S 0N {2+J!:E Sn52!,890o0%%8p$]0)1M P "!ON!,M P M7ON*!2+, ')+') ,*8907(')#,F\L*8EN I78!,,IDE)F-CG.HIG=$2'0+,v$]0R! O9P WUV!'4$]0R!E+$]0+E!7!v6.c89!R!- +W!%%(')*8>6!*89)v M P 4O 5M 27683O a 5M 276 O d :Y +89!$])++,o%(2'+E%8.,2W12):[!89$r+%L+892$v3V!,J c!')R0-/+89!~o,@< :h2)J!#')K +v8$&@6!oMh,6!')6!`O# &!$&%(')2,c$&.,2'0R=\LE!: &89!,0)J%(0++*89S!8I c%8.+, !

!!

!

'

.

$

M B

+W!%%(')*87(!,, 43 T E$]0R!E+$]0+Z

5M 27683O XZ[ Y 2 ? 3 M527683O M P )(O "UV!'.$]0R!;+$]0+YW7(!,c'$])+,Z6!*89)c!:( A8 ()6.)bK M527683O9Pa "89!R!A` ] 3 ^+_>` [ .M XZY O 5PYu>!R!!,c!')R0-/+89!~,@< :h2)a08AR!*89!'')K0%%('),Z+I8,2A ;89!R!!,&!')R0-/+89!~&,')!7La "UV!'$]0R!;+$]0+!P dC]!)87L!89G.HWu +K.++$] 0 6!89!R!>$])R!890)&')Y !]07L2 )(I%L*89 !:LI89!R!8+'2) '' 3);"!A08K=+c%L*8:[!89$ #89!R!I$])R!890)1!88)v$]0%%(R =Mh P !P)3 ]M .O;+* + 9**85O9Po #8,2Z ]89!R!- +W!%%(')*8c!')R!!89) $ +Jo$&%(')&%( !+=$2'))%(')KJS =89!R!- +W!%%(')*8 ,$]!43!$]0~.RW)a>6!*8KZq1*)a!')R!!89) $ :[!8a%8.RW!)87L!89;G.HWu $]0R!*Pa ?%(08*2'08?6!*89) !:a89!R!- +W!%%(')*8>A+$&*$&8*:[*88,N+=!RD*%--6&$ @*+j !f !ghf j %%Tf M6* f j h ^L53(% )(@72j/P #W:[.*2+,1+K. *#0%L*828>%8.R"c+%L*!'V*!+#!:?s8'F-b0%%8p$]0)17(!+,16!*89)4P dCN2:[.*2+,=%8.R35 #89!R!I$])R!890)N$]0%%(RZ!%L*890)N"8*%('!,175K1,@"+*"75K& #89)+*89E 0; >08R!*$])R!890)43 Mh+* P 5O93 ') ! 75P> E:['')@R&89!R!- +W!%%(')*8W,@< :h2)o>0%%('),v+=8$&@6!c Z*8R!KT,2E 08R!*>8+%L+I 0>');2,#!:a E2:[.*2+,v+K. *I0%L*828E')R! _ M P ) @O .&M 6 .gO at8 2 6 *8 2 ad[ 5P 0#; Q,@08R!*W@6!*89'KT%L*8:[')Kv!,o+*8:[*8Z *8')K!P C>!+c!'+] Z78!,R !:>!'' N').*"0p.+8$&N+89!+:[!89$w!:Y c+K.++$t$&.,'4) 2>*,R]+N$]0~!c=n52!,890Z0%%8p$]0)4P 9"KT2R 1s289)*8#,$&%L))T!8W75Ko2R] %89*)%(')#!:+0)08Kv%( !+!3L Z:['')@R=s289)*8W+89!+:[!89$ %(!)8*!v7LE,*89)6!,}Mh+*ZH>%%L,Fp1HIZO h ^L53 &Kj _ 2 p.% 2 3 p.% 2 5M 3 .4O M P )")O

$

u 10

ku 30

5

20

M B

10 0

0

-10 -5

-20 -30

-10 28

hM30O

32

ct/2

ky

28

30

M[7LO

32

ct/2

28

30

Mh,VO

32

x

y 10 30 20

5

10 0

0 -10

-5

-20 -30

-10 28

Mh@O

30

32

x

&'$%) *%1'1'@ )-.L12.3*>+)+ &'$2OB: 8A G')M "I='@ ,3)C9#7)+7&9!1'='@ )M+*%"!12.3)+)C9#)+NG'*I9',N : A :7A ,3G')B1'='@ ) +*%"!12.3)+)C9#9',N? &!,3G') .N&'$%) *%1'1'@ )-. 92*%"# & C: A K&'*,3) ,3G')B &>,3)-.46)-.3)+&'+)M &#,3G') '.3F, @ *>+='L92=') ,3*?,3G')B &>,3)-.46)-.3)+&'+)M*4 ,3G'), *M,N.3$%)-,3,D 92)+&>,3 C@K.N&'$%) &9H@ *&'*,3) ,3G') @ $%G>,12.3)C%92 &'$*4,3G') @ *>+=',D)-JK,.3)+"!) L&8)+&K='"I7)-.3+O G' D12.3)C%92 &'$ 92=') ,3*?,3G')B &92='+)C9 +*%"!1*%&')+&>,D,3G, +*%"!1)+&'3,3)C9!7>/ ) g"#1'1' &'$gG F,.N $%G>,3)+&')C9 O:A ,3G')M9',N54 ,3)-. ,3G' ,3G')M.N&'$%)g92)+1)+&92)+&>, @ *>+&9 G .3)+"!* 8)C9H,3G')B.N&'$%)g12.3)C%92 &'$2OB: 9A ,3G') &@ "#$%))+F,3 "#,3) K,3G')M "!1'='@ )B.3)+1*%&')g 92)+&>,3 C@46*.@ @,N.3$%)-,3+O?: G')?1)+-,.N@ 9',N' L &92&* )C9(,3*!)-JK,.N-,M*%&'@ /U,3G')59',N' ,3G' &Z,3G') %9' 9K,3GZ*4 ,3G')?1)-.,3=2.3) 1,,3)-.3& &'* )+ $%G>,3 &'$(46='&'-,3 *%! & L51'1'@ )C9 ,3G' .3)+='@ ,3g & & @ *%&'$ ,.N( .3)+*%@ =2,3 *%& *4L+@ *%)H,3 * O G')I.N" 9',N L 3"!1'@ )C9( , ! &(,3G')g@ *%&'$ ,.N((92 .3)+-,3 *%&ANO

2O

B

S K

W!89)R1!:? I!$&%(')2,>+*89$lA+*8%8*+,N!;:['')@*x. I+%(0!'L%( !+W:h2)N,> Is289)*8 +89!+:[!89$l!%L*890+!8W;n52)60!')+=]+%(0!'^9 )8%v!:Y9 )8%T890+ .M 24O9P; Es289)*8+89!+:[!89$ !:Ao9 )8% %8.,2E!X!$&%(')2,c:h2) 2 .M OPv =0%%8p$]0)} H>%%L,Fp{H R)6.Rc A!$&%(')2,W:h2)vA60!',1:[!8>,#7(!,, 1+K.++$]*P I+%(0!'^s289)*8+89!+:[!89$!:M P LOA 2 *p.% 2 3 2 3 cM 6 .O cM ;O cM .O M 5 7 2 8 6 3 O M P )5O cM ;O cM 5O 5M 27683O *p.% 2 3 2 3 6 a *8# E89!R!Z,*%L,A!$&%(')2,#$&.,2'0)vA07(+!87L,v+] E$&.,FU(,18 ()6.)bKN:h2) M P )"!O 5M 27683?O a 2 5M 27683O I+%L+892$l!:Q A$&.,FU(,N8 ()6.)bK1:h2)v (M 6 O9P =+*89$]&} N+*R!89!';!:vM P )5O8*%8+cJb< ) o ,!!7(! M 6 O#a [ [ 5PZ >.-b'08#$]0%%(R1W,2, 6Kvg[i0 -Kg26 w,289RN =$&!28$&E%8.*P= I$]0%%(RvI8*:[*88,S+J!ZWTVg/j&Fg4 @Vf h ! %jA!, 8*%8++,v75KN!v!%L*890+!8 Z 9 NR)6!ZM P )5O! cM 6 .O cM ;O cM .O (M 6 O 6 M P )'&!O *8# E:[!8 1M 6 .OA,0108Z+*8%L'0+,T+1 1M 6 OA,$]!43! *8+E +*8%L'0) ++*%o !A%L5!8A%L*8:[!89$]!!P Z%( !+:h2)J,E c6!*89+]G5+')W!%L*890+!8IzM P OW> & 2R0+c!: c%( !+Z!: ^@,g @- +rsasa !:A N+K.++$ m G.s:[!8cT08R!*&0 2 a 0 03Y P !P)3Y)E =%( !+=!:A N+K.++$ +89!+:[*8 :h2)T:[!8I=08R!*E0-2 a 0 0P# 52*3V %( !+:h!+!8E,E c6!*89+]G5+')W!%L*890+!8IXM P O#! + ,9j *%- !''V08R!*>07L2;89!R! 0 `3!,N E6!*89+ZG5+')$]0%%(R8$&@6!A E,++!8)N108R!* 0 2a 0 `P %n520)oM P O+''! >$&+q1*)T$&.,2'0+,T:[!89$]0*3( Z60!',T%(2,0]p+:[!8#!$&%(')0%%8p$]0+')K ) h LXZY 6 LXZY-j#!,y o60!', 2+%(2=7(!+*7(!,16!*89+ G5+')$]0%^3 3 *8 (M 6 .O M P )O M 6 .O

'

$

M B

ky , ku

Bk

x

(kx , ky) 2k

Bk

y

q -2k0

kx

extracted spectral data

G')I, * 92 "!)+&' *%&@ +*%@ @ )+-,3 *%& =2.4+)!*4 ,3G') L&8)+&K='"I7)-.g9',NKO G')HG')C&>/092*,3g &92 C,3)I,3G')H@ *>C,3 *%&'5*4 ,3G').N" 9',NH3"!1'@ )+B@ *%&'$!.N%92 ,BG')+ $%G>, O G')?='&92)-.3@ /2 &'$I.3)+-,N&'$%='@ .$.3 9ZG'*& ,3G')46*.3"#,M*4 ,3G')g3"!1'@ )+M4 ,3)-. "#1'1' &'$g: &>,3)-.31*%@ ,3 &'$>A,3*B .,3)+ &5$.3 9g*%&#: ANO G')D1,3 @>7&9 9K,3G'M&9B*%=2,3@ &') ,3G') .3)+-,N&'$%='@ . )+-,3 *%& *4 ,3G') L& 8)+&K='"I7)-.9',N,3G, )-JK,.N-,3)C9 % &92*& )C9 '&9H &8)-.3) *%=2.3 )-. ,.N&'F46*.3"!)C9I,3*512.3*K92='+) ,3G') "#$%)M)+F,3 "#,3)%O G') @ $%G>,3@ /#* )-, &,3=2.3) *4 ,3G') "#1'1)C9H7)+7&9!9',N?1'1)C.3L &# ..3)+@ )"%&>, 1'G) 4-,3*.L &H,3G')B1,3 @ 92*%"# & O G' 1'G) 4-,3*.92*>)+ &'*,B) )+-, ,3G' ) &@ "#$%))+F,3 "#,3 ) :

'A O

A,UV))N$&.,FU(" Z,)R)!'L6!*89)v M P OA+]R)6!E E$&+ #,*f 6(gLW,89)7L,&b h 7 535%% )")@%- !ML2j/3! *8;+*8%L'0+!892+, :[!8#G5+')>$]0%%(Rc08Z!!')K 9*,T h 4"!2j/P sa)R28 P = @ @< G5+')$]0%%(R& !A,++!8+,v E+%(0!'L:[8n52*);+1&*286!,T 0%L!P

'

2O

B

S K

d :"v%(2'+c) Sv+!+%L+892$ ) 2-b`p#!,o! *8I$&W0R!+# 2 -b`p&M[) J ZU(R28 *0%)v!8>+p.>+0R 0 O9P Z+K.++$]0E,*6!')!%($&!:Y Z6!*89)v9 $& !!'')@08Z7L! v:[8n52Kv!,o+%(0!'')KN,%L,*3075K,6!')6.R# ;:[8n52KZ,*%L,;vM P )'&!O3 ;82')RW$&%8@6!$&a:h!+!8NM P ! @O ;')K1+%(0!'')K1,*%L,*P G5) &P =!,Jsa)RP &P &=,*!'^ c0%%('*0)T!: ZN &$]!8A%( !+I*88!89v )8>,UV*)*)E h )('j/P u>0 *8> !J+08>) v Z89!R!$&%8+,J,0=!W$&+>!:Y Z%8*6.)26!*89)T9 $&# 6! ,!3. E9 )8%T*!'Rc!')R!!89) $l+08A) N In52!,89028I,$&.,2'0+,N89<9 =,0.P f *%%,g4*!'*2.'0)J!: &+%(0!'as289)*8I+89!+:[!89$t!: &+K.++$ $&.,'a @{ M P !OW+NK.)',J c89!R!- +W!%%(')*8 )R!'^!: c+K.++$t$&.,+' , Vj!gQ7L,Z o 89!R!c*2860028Z+*89$ >*'2,,To Z6!')!%L "

$

M B

!:Y Z+89!$])++,T%(2'+=M[ 89!R!- +W!%%(')*8W!')R!!89) $r2+,o=n52!,890Z0%%8p$]0)VO9P9"KT!2$]R 0E'08R!7(!,,@ $?s t%(2'+Aa+89!$])++,43u>!*\K h ML53 '&Kj^ @%%L,Fp1HIO =M 6 8x 24g O a 2 cM .O 48 Y >Y M 8x 24O M P !5O p.% M x824O [ M x824O

2 6 *8# I89!R!I$])R!890)v').*2;189!R!- +W!%%(')*8+%(!E!,N I!')R0-/+89!~N%( !+#:h2);08I8!R0'907('):[8$ &,*2)o!:" &89!R!- +W!%%(')*8I%8.+!S8 h +*JM P O3"M P ")OI!,yM P "!-O j/P& c89!R!+W!%%(')*8A)R!'YM P !5O;;!'+&+*v+&!Tc+*89);!:Q,'K!,4389!R!I!, +W!%%(')*8;R!*$&*+8K!P"u>!R!#,++!8)= ,)8A+n52I!:? I'!~1!:?!8 !R!!')bK=7L*b%8'$]08KN%(2'+c$&%8)J!%L*890){!I+v8,2c

2O

B

S K

+$&%L!89!'(p.+A!:? #+89!$])++,N9 )8%1+c #!89,*8;!:? #$]`p$2$ 89!R!I$])R!890)=p.%L+,v1 !P I:h2''(+$&%L!89!'42%%L!8!:Q I+89!$])++,N89!R!I9 )8%T4 Vj!gL8n52)8,1:[!8A E$&%(')$&0) !:Y9 )8%o*!'RP; Z9 )8%o')R! T8n52)8,v75Kv9 )8%o*!'R=$2'))%(')*8;')Kv*,+=7LZ')R]2R T+ 2%%L!8A ):[!:Y 9 )8/% %( !++*8#+= 0W!:Y Z8*:[*889!R!!.P W*89!'')KN c+*8 #9 + !# &8*:[*8c89!R!]+N 0I ] ):[W!: c%( !+&+*8#*6!*8I%(08*2'089')KT'08R!!P 9;2')~ 89!R!E*2860028EA%L*8:[!89$&,v,289Rc]'0+*8%( !+E$2'))%(')K!P dC +08v0%%('*0)*3; {9 )8%')R! !:E J+89!$])++, $?s !(!$] $?s %(2'+=9 )8%L, :[8$ '(0~ !9N+ (0~ !9!P p.+89!+,J08]!:Y Z$]0R!@6!*89#07L2 !0$rv89!R!Z!8W07L2 ("(1!$&%(')*37(2A @ $?s |%(2'+Ip+ :[!8!! *8 )'&P !0$v3 9 N !("(]$&!8I!$&%(')*P ?&!%L*890+Ec9 )8%v*!'R&!')R!!89) $ @6!*8> ;,0&+* 8n52)8!%L*890)1$]0+89Fp=!R &("(c')$&;]89!R!!3.7(2 UV!'(:[.*2+,1$]0R!#! ')K ("(J60!', !$&%(') 1o =89!R!1$])R!890)}p.%L+,}:[!8 108R!*& @X}sa)R P &P "NZ')Z ! '(!*$v3(!8W07L2 L]!$&%(')*P" Z9 )8%T890+Z!:a E%(2'+E*!T7L]f ,?*%%%+] 0W)+$&%L!89!'4p.+# !:" #!89,*83QK *$vP= ]$]0+89FpJ8n52)8,{:[!8E%8.RN6.N =9 )8% *!'RT!')R!!89) $ # '( !$&%(');N89!R!E!,v)! ("(&60!',N!$&%(')A0:[+*8:[.*2RP "8,2)vN$]0+89FpN' 9*I82') v&,89!$]0I$&%8@6!$&>N%8.Rcq1*)K!P A%8'$]08KI%(2'+A$&%8)]++*%=%8.*,!:['')@*x0:[+*8" >,0E !7L*&%(!~!,1+E @- +:[!89$]0Y8n52)8,Z+E8*%8+ M 68.4O93 A,0EQ+$&%L!89!'')KZs289)*8Y+89!+:[!89$&,+ER)6! M 68.4O9P Z,0JZ X%(2'+1$&%8+,X2Ro 1%( !+1:h2) p.M% h .M SY3O jA!,X8+%8!, Mh P !P)3Y89 )8%L,VOa) 1p.M% h .M 3O j/3 *8W E*Y !,1 *8 ] J8n52)8, 8,2, +$&%L!89!'p.+N!:E o!89,*81!:E o89!R!{$])R!890)4P 0#o +J%( !+ $2'))%(')> 6!]7L*{%L*8:[!89$&,434 ,$]!SI,*$]0+,{+T8,2c ]=' 9*&{ c+$&%L!89!' ,$]!4P In52)60!')A!%L*890)T~.@1!; ] g j y,+!#!,1)"!88+%L,+ I*')++;0%%8!9 1!:^ W%('0+:[!89$ +N cc+*8P#dCo c,*6!')!%($&W!: +$&!R!890%( Z:[!89$2'0)43( !89)Ro!: $&`pW Vj!ga ]!$&]!EJ &++89)%-b$]0%S!')R!!89) $]*x^ ]+%L!')R W+$&%L!89!'a!89)R +89!~.I ]+*8Z!: +%L!')R I !3Q P !P)3 a (N60089)I) {!')R0-/+89!~ ').*0) !,S!88+%L,#+ Za '[ 0 . !8 a '[ 0 . 0 M[ ],*89)600){!:;T+%L!')R I$&.,'a) { &!89)R!' #!, `p.ZI!'+ $]!,#:[!8$&%(0890)6!I%(28%L+ O9Pa I!+c++**89R&*!2+; #7L!$%(0++*89N!:? #8!'L0%L*828#+ '$]) &+%(0!'a:[!89$]0)o$]0R!,J75Ko c+%L!')R #+K.++$t+v18*R)J!:89!,2 +*8,SJ #!89)R4Pa W+89!$])++*8A!,=8)6!*8+K.++$]"!%L*890+I1c$]'08$]!*8;+&++89)%-b$]0%N$&.,!357(2 ,2E+= Z$]!''^' 9*E!:a Z08R!*#08=*8!o0%%8p$]0)*!o7LE$]!,Z 0>')!,T+1!Tp.+8$&')K q1*)6!*89)&9 $&!PY Y$&.,'!,&)6!*89)&9 $&>a~.@&! Eg/j ]%j M*; (i5f ,;:[!89$2'0) ,2I+=)++89)~.Rc$]'089)bK]+=$&%(2+*89' 9*,v+$&!R!890%( K M ; WO h 7 53 " j/P ":['')@R>+)a,*6!')!%c!+%LQ!: ;+%L!')R Q$&.,!x! "%('!,g+=2.%,3=2.3)?C&E7)5 $%&'*.3)C9 O *,3)?,3G')5&,3=2.N@ +*>*.N92 &,3)IF/2F,3)+" :

'A,3G')?,.N&'@ ,3)C9E+*>*.N92 &,3)IF/2F,3)+" &')++)+3./U46*. 12.3*>+)+ &'$ : $# 'A'&9#,3G').3*,N,3)C9(+*>*.N92 &,3)gF/2F,3)+" : AM:)+),3G'),3)-JK,L46*.B"!*.3)g92)-,N @ NANO

*8 M52 683 OA E8 ()6.)bKN:h2)TT E8!0+,{,$]!}M52 683 O93( 9 T 1M52 683OA,$]! 8!0+,1 82R =!R') Pad :4 W$&.,2'0+,]+89!$])++,=)R!' cM OY@$?s 9 )8%]!:^890+ SY = )R!'L8)6!,T!')R] E0%L*828E M P L'&!O cM 68.4?O a M52 O [ 2 2 6 *8 E 189!R!=R0+,z$&= 9 } !)E!89)R}0 H j!Cg & 'f 0i51g ?,-6S,-6(g26*Z!, vZ! 6!*89+A8!0)]!%L*890+!8 0,UV,& !8')K!P 9"*!2+> >p.+c 89!R!>,)8)&Y$]!'' $&%(08, +} o+!,0\89!R!!3;%(2'+v$&%8)y2RS,*89!$&%y%8.R z T8)6!*8N]$&!8 q1*)E !}$]09 , UV')+*89R Mh+*vG5) 5P P )O9PT &2+%(2E!:; =,$&.,2'0+!8Z0Z%L .zS 0%L*828I0:[+*8W,*89!$&%T%8.R&; E7(!+*7(!,N%(2'+I$&%8+,T)R!' M 68.4?O a M O &M 68.4O 5M 2 O *p.% M a SY O 2 2 M P LM7O [ 5M 2 683 Op.%a M 2 O 2 3 6 a SY *8W A +W*89!$&%v!%L*890+!8 E !A$]0%%L,1 #89!R!IR0+,v$& +& #89!,!1:[8n52*)") !!

!

!

!!

$

M B

E+89!$])++,N%(2'+#6.

M 68.4O SY 6 M P L4O 9 T ! ,!!7(!43.M SYO9PA E6!*89+Z8!0)o$]0%%(R&!%L*890+!8 Z%L*8:[!89$]A 5!8+,0+I+89!+:[!89$]0)v:[8$ M52 683 O"7(!~N+J5M 2 683O;!>,UV,N75K 2 a o 2 6 M P &(O 3 3 *8] =!R')]:[8$ =*288E%('0+:[!89$ ').*0) .X+o =1+*8c a ! M . 0 @O93Q ,!!7(!N!:Q I8!0)T;2)bK!3!, 2 a 2 0 #; I$&.,FU(,189!R!I!89,0+I,UV,1:[8$ E +*8#!A8n52)8,N:[!8>],)R)!'4$&%(')$&0)N6.c Esasa IP sa!'')K!3 ,*89!$&%L,o,0='')+,J75KN +%L!')R >+K.++$tR)6!o75Kv 1g/j ]%j M*; (i5f , j!Cg & 'f 0i5g -K2g 6 ]j ^6& _ M P &@O M 68.4?O a SY 5M 2 683Op.%a M A 8 2 8 3 O 2 3

QP 'A*:B1E&) +,&)(+*9&7#

!!

#

#%%)143C(" 0

# ?+*:B &7# &)(+*,!.&73

143

'

# ?+*:B

d :" &\LZ!:" &89!,0){%(0++*89 I)R!8,43?v+$&%L!89!'Ys289)*8E+89!+:[!89$ !:" =+K.++$ $&.,'Y Z$&.,FU(,N5!89,0+E+K.++$wR)6!T M P '(OAR)6! M 68.45 O a cM ;O p.%QM 0 `O 5M 2 683O *p.% 5M 2 0 O 5M 3 .4O 2 3 M P & O J0~.R& E6008907(')#+89!+:[!89$]0)v:[8$ 5M 2 683O"+] E8!0+,o,$]!}5M 2 683 O"R)6! M 68.45 O a cM ;O p.%QM 0 `O 5M 2 683 O p. % 0 . 2 3 2 3 M P &)O

!!

'

#

!!

'

#:['')@R0% %8p$]0)N"60!',1!;!7!,cE ;+$&!R!890%( "+K.++$$&.,'5*!7L"+*8%8*+,c!a>%L'08Q8*R)!:0\4+*Ys289)*8 ,0.P2%n520) M P &@O*!T7L#8-/) v Z%8*6.)2$]0RR]!')R!!89) $]*3()> !')$&!8Eq1*)A+=%8.A E$&%(')pN60!'2,v7(!+*7(!,v,0.P *8=08=b/092*,3g &92 C,3)I,3G')H@ *>C,3 *%&'5*4 ,3G')g.N" 1*%@ .g3"!1'@ )+M@ *%&'$#.N%92 ,g&'$%@ ) O G')?='&92)-.3@ /2 &'$H.3)+-,N&'$%='@ .g$.3 9 G'*& B,3G')g46*.3"#,*4 ,3G')?3"!1'@ )+4 ,3)-. ,3G')I1*%@ .,3* .,3)+ & "#1'1' &'$E: &>,3)-.31*%@ ,3 *%&ANO G')I1,3 @ 7&9 9K,3G'Z&9 (*%=2,3@ &')5,3G')?.3)+-,N&'$%='@ .?)+-,3 *%& *4 ,3G' ) L& 8)+&K='"I7)-.B9',NI,3G,B M)-JK,.N-,3)C9 &92*& )C9 &9Z &8)-.3) *%=2.3 )-.B,.N&'F46*.3"!)C9(,3*H12.3*K92='+)g,3G')g "#$%)?)+F,3 "#,3)%O *,3) ,3G, ,3G' L)-JK,.N-,3)C9U.3)+-,N&'$%='@ .M.3)CH BI"I='NGU@ .3$%)-.M12.3*%1*.,3 *%&Z*4 ,3G')1*%@ .M9',NI & 5.3)C@ F,3 ?F/2F,3)+"ZO

Ep.+89!+,J,0] @vvsa)RPP L53( *8 X M !O M O L[ XZY M O M P 7MLO X a 6 *8 !, 08I E$]$2$ !,v$]`p$2$ *8; 9`O93 W c\L)6!=0%L*828&')R! 43 0 cW &!R2'08 ,)6!*89)bKJ!:; =0%L*828!3? P !P=)Z# =,F\L*8&7L*b7(!+,TT +Z%(089!$&*+*89>08,*8, +*8600)6!#!,=')R ')K&'08R!*8"60!'208#2+,43 = UV!'($]0R!>+$]0+# ! #,)8,&8+'2) %8!%L*8)*P C>!+> 0",*89!$&%&%8.RE!'+E82')Y]E')Y!:L7(!,, 0$2+!'+I7L!*2+, :[!8Mh+*ZH>%%L,F'p +_!! K5%L*87L'>*88!8

3

] ^+_>`

0

3

!

] ^+_>`

Y

3

] ^+_>`

2

3

] ^+_>` ] ^+_>`

"! ,N,3 *%&'H*%& 3, G')U1*,3@ $%G>,!1,3NG 92 "!)-,3)-.!92=')!,3* 3, G')(1'12.3*CJ2 "#,3 *%&'5"#%92)(92)"8)+@ *%1' &'$ ,3G')!,3*%"!*%$.N1'G' 1*,3@ $%G>,M"!*K92)+@ :)+)g1'1 I&9 1'1)+&92 JU*48(8*&L,3; ANO

+''L0+:[K1 E%('!# ZDE)F-CG.HIG ) Ua !0*$v3 0 #a ("(!$v3 SY5a ( !9 `*3(!, ] 2^+_>`ia ] 3 ^+_>`ba !0*$vP #%('!I$Z7(,}) X 1:h! 0& v%(09 y,!$&*+*8 vc$29 y') ! v!')R0-/+89!~zp.+]!:W v0%L*828 53"!'')@& ,*89!$&%(R0-/bK5%L!%L*890)=+7L%L*8:[!89$&,]= W!')R0-/+89!~1)R!'+ ,9j *%- #!')R0-/+89!~=)R!' P ",*8A 4 ([i !:a I8*289N:[8$w&%L;08R!*W05M 2 683?O a M ( 6 (O9x( 0>*3 M 68.4O p.% 0 . 0 M P 4"!O E 2R0+Z!:Q A)R!'^*!v7LE2+,v+=,*89!$&%^3,9 )8%v!8 ,9j *%- A Z!')R0-/+89!~T)R!'5_ Y M 68.4O M 68.4O M 68.4O 5M 2 0 @O 5M 3 .4O 0 . 2 3 M P 4MLO a M O 5M 2 683O *p.% E QK.')!8W+*89);p.%(!)v!:Q Zn5208I85!A:h2)TEM[) 0 O h ^L53(% M742j 5M 2 0 O 5M 3 .4O 0 . 5M 2 3 O 2 0 . 3 M P 4'&!O 0 0 )R *8Y!89,*8+*89$]Y!:WM P 4'&!O08*R')R)7(') h ^L535% M742j/P 52*3! ')K)RFUV*!Y+*89$ 0,*%L, . {89)R v,J!: M P 4'&!ON 3 . 0 0PdC N*!+!3# S+!!*2 +W!%%(')*8N!9 )*6!,J75KNU(89+%L*8:[!89$]R]]+$&%L!89!'Qs289)*8>+89!+:[!89$|M[6.] csasa WOA!, $&%8Rc E!')R0-/+89!~T)R!'5_ YM 68.4? M P ( @O O a M 68.4O p.% 0 . 0 -6 *8)$&%L!8!a+!+ 0!'':h2)Y08>!$&%('),&0 !$&890+ P C>@7()$]0%(%8.,2,]. *8a!,,))I!: +;')5!~.^8,2Q+%L~.')"E UV!'$]0R!+$]0+IM[:[!8Y$&!8",*!'^c$2')')5!~ %8.R&+*cG5) P &!O9P

#

Cd +%L!')R Q$&.,!30 3+W!%%(')*8Q7(!,, Ea!a,*+*89$],E75KE "89!,0)Z%(0++*8943!, ; *%%&0%L*828>')R! 43),*+*89$],&75Kc >')R! ]!:L 1-K(g[i0*ghf5,"0%L*828>!,& >08R!*"').*0)4PY ? 28I!9 o08R!*Wv IUV!'^$]0R!E+$]0+ !>]+%(!60089!A%L+%8!,v:h2)43 E,@< :h2)Mh0%%('),+ sa)RP P &.Mh,VO1+y%8.,2Ssa)RP P &.M[`O+OT$2+v,@< !')R0-/+89!~ W!R2'08"89!R!W!:^')*< !R')*P >89!R!>:[!8

$

M B

%8.,2*R IUV!'4$]0R!I+$]0+; O L[ XZY M O X M O M M P (@LO #UV!'4$]0R!Z !A I:['')@Rc8+'2) [ [!M O ] 2^+_>`ba > <

* 8 X XZY

X X L M P ( &!O 0 ] 3 ^+_>`ia X 9"*!2+> !')R0-/+89!~&7(!,, Z!:L A08R!*%8.,2,6.IIR!*89!''9*,&+%L!')R a%8.+!8 6!>+ 7L>,@+$]0+#08#+%(0!'')K 60089!*3$]0R!A%8.,2,N2RcR!*89!'' 9*,T+%L!')R Rc 6!E E!$&E8+'2)v!A I+$&!R!890%( :[!89$2'0)43L P !P)3L08R!*E 6!c c!$&&!')R0-/+89!~o7(!,, o0:[+*8#%8.RAP W*89!'' 9*,J+%L!')R 6!*89)v;!A8++89+,v75K= I%('!#'$])R#:h2)=!!')!R!2"+Z A!8 E2+,==+%(0!'')K-b,2,&+K. *>0%L*828>+K.++$]*3 P !P . h 6 2jA!)8 . h 6 2j/P} 1+$&%L!89!'"!!')!R2v h 6 2j/3A+J 0 M O"7L$& M ?O a cM O M O P ] M !O M P ""@O a cM O M !O 6 *8 cM OYYE+!,089,c,@< :h2)cbK5%(*!'')KZ0~!1!]8@M IO9P A+$&%L!89!'s289)*8Y+89!+:[!89$ !:Q A)R!'4$&.,'4R)6! M g O a M O M O ] M P " O M O M !O a "8*%L0+,&%(2'+"+%L+892$ +Q!:V]'08$Z7(0)v!:a 1Mh$&.,.2'0+,VO" 089$&*A0 a x 0>*3 M gO a M O 6 M P " )O *8# Z$&%(')pv$&.,2'0+,v 089$&# M ?O a M Op.M% h (M !O Nj M P " 5O :[!8 h 6 2j/3V *8 M !O;A ,9j &GH,9j 0g (g?:[!8!9 o 089$&0P

QP y

!.-+&)(+*/&) 021435*67&)8+)*

$

M B

# ?+*:B

>+K.++$ $&.,',*6!')!%L,]75K&,*89REZR') 089$&A!:L Ws T- 20 )R!' a 3 P !P)3 I+89!$])++,v%(2'+IA,*8,v+]7L M gO ap.%QM O M P " !O \L#!:"'$])R&$&!3L P !PI'$])R& &+K. *0%L*828!3V %(2'++%L+892$t+!#:[!8#!9

089$& M !O93a!,S ]89!,0)S%(0++*89E!:; ]8!'0%L*828EE,*8, '0+*8P1 ]+K.++$ $&.,'L:[!8> PGQ& 089$&I M 6 ?O a 5M 27683O [ 2 5M 3 O 2 3 a M 5 7 2 8 6 3 O . p %

2 5M 3 O 2 3 M P "LO [ ap.%QM O 5M 27683Op.% 2 5M 3 O 2 3 6 *8>$& !7L*=+%(')+Z89!R!>!8":h!+C-/$& "!,=!')R0-/+89!~]!8;')@+89!+:[!89$]R&) N8+%L +]:h!+C-/$& R)6! M 6 gO a ] M O 5M 27683Op.% 2 5M 3 O 2 3 M P " &!O s289)*8+89!+:[!89$]Rc) N8+%LA+ 2Rc E%89*)%(')>!:a+0)08KN%( !+IR)6! 2 3 2 3 M 6 O?a ] M O 2 M527683Op.%

M P "7O 9 X!!')!R!2+{ v+%(0!'')K-b,2,S+K. *10%L*82818!89,RJ @- +ts289)*8c+%(!v @ M P )5O*P

'

!!

!!

!!

!!

'

!!

Cd v8!')bKN$& AA+80+,J!> ,9j(ghfkj0kA6008907(')I!,o)1Vj!g^+),o+=')@!$&%(')2,;:h2) cM O,*!' + >89!,0)]:h2)=2+,1=+%(0!'')K-b,2,c+K. *W0%L*828>$&.,') a M O !, m u>s"P

'A*:B1E&)#"! ("3

&7# &)(+*,! 3"1E&)1@B B -

"?"8"0D*:?>!.-+&)(+*/&) 021435*67&)8+)*

# ?+*:B

I8'0) )%N+] E+%(0!'')K-b,2,N$&.,'4 M P )'&!OA cM 6 .? O a M 6 >O M P MLO *8I Z$]0%%(R!%L*890+!8 WM 6 >O M P '&!O VM 6 >O

P !P)3Y =7(!+*7(!,X,0.3 FM O m u>s"3a082, !9 089$& E 1!$&N! '+W!%%(')*8 ,0.3(!,N $&%L08I E!$&E!A E+%L+89!'4$&%L;!:Q I+89!$])++, %(2'+ M O;!$&%('),v0 0>08Z!89$]!'')K=,!+,o!A E89!R!I+$&%L!89!'4:[8n52*) P Y').*)bK-b,2,v!,N+%(0!'')K-b,2,=+K. *#0%L*828I+K.++$];7L! Np.%('))" A +W!%%(')*8;\L %8.,2, 7L*bR!82,]%('!!PQdC] Y$]0R!"%8.,2,&75K&%8.RE >:h2''.p.+;!:4 >v $]0R!*!2+,o75Kv *8W+*8:[*8Z!:$2'))%(')#8 ()>!89)R0R :[8$_08R!*')K.R>) Z#R')8+'2)'L' h 4ML53 ( 2j/P ?R!89!KZ0%%L089!;Q8*:[*88,+I! %, &G !,S ]$]0R!Z08&8*:[*88,S+T!\ %, &G=f - P]s!8Z%(28%L+#!:"6.2!'Y+*8%8*0)S)E#R!*89!'')K ,)8907(')c+o8,2] ]89!,$ %(Fp.' V220)ES+%L~.')=$]0R!Z+T 0Z ]%(Fp.' V220)E08 *')+J+z+$&{').*!'W6!*890R!S60!'2!P [k &Fghf &)jj H*+j ,-- f S= oR!*89o+*89$ R)6!+z$&* .,= 0 $&.,):[K{ 1+%L~.')1+0+*}+K. *10%L*828=$]0R!*3Y 52Z$&%8@6.RT *;@0f j *Cg * 5f , *%-*j & kghf j !: $]0R!!PW Z89!,)$&*+89I8+'2)T!:!J$]0R!W,UV,T+17LZ !**289!Ko+1 9 o!J$]0R! %(Fp.'(*!17LW!+.*0+,N) =Z08R!*A*0++*89R&9 089!+*89+0PYdC$&%8@6!$&A]89!,)$&*+898+'2) 22!'')KT$&]0I cp.%L+c!:8,2,{R!*$&*+89c8+'2)4xLR!*$&*+89&8+'2)o7LR1 &!**289!K +1 9 T]08R!*#').*0)43V' 9*Z!,o 0%LZ*!o7LZ,*+*89$],XM[:[!8W$&!8,*!'?+*Z% )53 ; 0%(*P &&!U, 7 !#: h ) %jhO9P J!K 8*:[*8=8*:[*8]+X$2')F-b')5!~X%8.R !=}$&* ., !:#UV')+*89R{ o!')R0-/+89!~ +W!%%(')*8 7(!,, J+v,*%L,cMh.-/@6!*89'0%%L,VOW+) h 4ML2j 0E08]2+,J+T%8.,2c$2'))%(')$]0R!*3 ~.@=!&)jj F P 9"*!2+W!9 N')5!~] !7L*]!7!,]:[8$ ,F\L*8+)=!:L 5 +W!%%(')*87(!,, !,{ +W!%%(')*8#:[8n52KT!:;108R!*E#,*+*89$],J75KJ108R!*Z!+%LI!R')c:[8$ S *%%&< 6*gh[k *%3 !9 ')5!~J !I,F\L*8#+%L~.')&9 089!+*89+**P 52*34!9 ')5!~T {$Z7(,S *8')KT%8.,2 !$]0R!{) $&%8@6!, +%L~.')S9 089!+*89+**3#!')7L)=) 8,2, !')R0-/+89!~ 8+'2)4P J2')F')5!~{%8.RN >6008K.R+0+*"!,1').*0)!:4 !$Z7()R22;08R!*A7L*b c )R J+%L*,o!:')R *3 *RP)3Q NG5!0cG.HWu 2+, v%(2'+c7(!,, J!: 4 !9!3aR)6.RTT'!C-/89!R!]8+'2){!: !5P *$vP1 +,y%8!7(')$ & J'!C-/89!R!T+}R!82,.-/%('!T!88)4x> o!R')T:[8$ o!,)8]+} o08 +%(2'+E7(!,, *PAs!8Ip!$&%(')!3V DE)F-CG.HIG !7! *$|8+'2)S) (0~ !91%(2'+!P !>@!:a ,)6.)N!:Y +W!%%(')*8>7(!,, v+ :[28"+)!%L*890R]:[8n52K!3( P !E3 Ua 2 3 *8 2{A E89!R!Z!:a E08R!*W:[8$ %('0+:[!89$r%L))43 > \L)6!]0%L*828')R! 43L!, &> c$]`p$2$r+)+)C9Z7'@ *>(K?:)+),3G')M,3)-JK,L46*.B"!*.3)?92)-,N @ NANO

[M 8$&$Z7L*8> 0> Z89!R!Z@6!*89'0%J@+%(0!'F-/+$&%L!89!' 3$&-b,'K]!,=2$v37L!$&:[!89$]R 0%%8!9 v!:Y)+K. *I0%L*828E$]0R!I%8.+!8P

RgT

')(

I,*6!')!%($&A!:a+K. *I0%L*828I+08%8.+!89*3.+=,0+!3( !;7L*N:[.*2+,NT+%(0!'F-/+$&%L!89!' ,$]!43Q$&-b,'K !,X2$v3a7L!$&:[!89$]RT0%%8!9 !8c:h!+C-b!88'0)X0%%8!9 *P{ 1+K. * 0%L*828W+9 n52A%8++,vN ;9 0%+*80\L*8W$&* .," 0>08E+*6!*89!'4!89,*89;!:a$]0R)2,W:h!++*8

8

$

M B

0c%8.,2*RNUV!':[.*2+,X$]0R!*8K!PS ZZ+%L*!'')K{+8921!: @, ,-6&G6*;!g2%T9 )8%X*!'RJ!')R!!89) $ ,*6!')!%L,TN ; *P &2+c!:;v2FU(,J$]0 $]0*!'Y!0) !,{ cp.%('*)#+0+$&E!:;!K{9 !R!&!:"6008907(') 6.&$]0%%(Rc!%L*890+!89!+N Z*')08%8+0)T!:Q Z60!'07(')I%8.R&!')R!!89) $]*P

X X E

w

E

y

#

9 0%+*8A7L*R75K=!!')K.RZ W\LA!:?!$&%('RZ1 #+K. *#0%L*828W)R!'V$&.,' PYu>!R! !,!')R0-/+89!~!$Z7()R2)bK++89!T08 ,UV, !, )8T'$])R}\LT $]0%%(RX890+} @4P> ')*6!'W!:!'!>*8R!KT%8+#T 89HIG.u#O!,o c!')R0-/+89!~J!$Z7()R2)bKv+v)R!' 890) MhHWHIG.u#O9PHW !!')K.Z!:> v*!2+!3"!,z$&* .,:[!8& v2%%8) !: 3R!890R{')!7L108R!*= R)6!4P +o2%%8)z$&* .,=*'2,!xA T+89!$])z!:#,v7(!,, 43"')@O

U

8

K

%(2'+c0E)(0~!9=*0889)*8I:[!8Ev+08Z+K.++$v3^!8E ("( !9=%(2'+c07L2E)("( !9=*0889)*8I:[!8ZN:['0R! %L*+890R{G.HWu h &Kj/PJ 12,*89')K.Rv!')R0-/+89!~X9 )8%X!,X =6!')!%L1!:A E89!,0) %(0++*89 *!2+& v2',z08Szsa)RP !5P Mh@Oc+S+89!+:[!89$ +S v8!R2'08&8*R) sa)RP!5P Mh,VO {+%(0!'Ys289)*8I+89!+:[!89$&,4P c89!,0){%(0++*89S+#!:;v*!'), & fhghk ^. k[,ghf jXMh P !P)3 Z5H %(08 O;T!9 {,$]!43) T!J2,*89')K.R%( !+Z:h2)}Mh P !P)3V m |%(08 O; 0#+8'> 7(!,, oo &!')R0-/+89!~Ss289)*8I,$]!4PZHWKJ+%(0!'Q*8R!KJ{sa)RP !5P Mh@OW 0#p+]j0kg 5f ^#!: A2',&08E!'!+Y7(!~]+I 8!R2'0808Z @]c >sa)RP !5P Mh,VO9P;G.; 2',&08 Nsa)RP !5P Mh,VO$&%(!+A E$]!N')!7L#!:Q #89!,0)N%(0++*8943 I!'!+,N*8R!KNA,2W+=,')!7L *8R!KJ')K!Pcd : ]0%L*828]''2$]0)v:h2)I08&!88+%L,A+N!J!')R0-/+89!~o!$&%(')+%(!*R]!: 3L+ 0W!KT+K. *Z0%L*828+K.++$r$&%(')@K.R==!$&%(')Z+%(!*R=!: ]*!J7LZ+*o+N!'! )R!' *8R!K1) *8>,#!:a )0#, 9, N!:a I7L!$l%(0++*89T7(!~v+]&8!R2'08>08= +W!%%(')*8+%(! *8!3:[!8> &+%(!*R3 P d :?8!R2'08Y08#1M 68.4O^ )?+89!+:[!89$]?+]M 6 .O9P 890+}!:]9 !R!}!:& X+%(0!'I%( !+} M !5P @OvR)6!J! ,*%L,T+!!*2& +W!%%(')*8 :[!8>!Kv!')R0-/+89!~v%L))vN =M 68.4O/-b,$]!4x 0>*3 M !5P )O M 68.45O a 2 . . d : &2',J8!R2'08Z08vSsa)RP !5P MhO#I'$])+,{{!')R0-/+89!~{+ . h 6 2j/3Q M !5P )O ,*0+Y 0 $]`p$2E$ +W!%%(')*8Y%(0++*89So TM 6 O/-b,$]!434+N c89!,0)o%(0++*89S#,*%L,!: N E8C-b+)=!:L %LY08R!*"8*289]0 >*0889)*8:[8n52Kc!:L %(2'+A:[!8 E+%(0!'4,$]!v!, +W!%%(')*8,$]!v)R!' P 9"! o)R!';08IO

MM B ! $

!89)R1!:Q &+0+$&>N cG.HWu ')+*89028EA,2IN%(08A+] I*88*2!!')K.;!:a ?$])K!2 @6!*8,} G5) )5P !5P!>@+*3 a [ a m [ u>s 6 M !5P 4O *8 o!, T08N T*8c!,X2+*8&,R!&!:> v+ 0W &+890+ZMh&$ ` O ,UV,v!A ER!82,N%('!E+ R!82,.-/%('!+*,!R')Mh!R'):[8$ !,)8+E7L!8)R O9P #WRo 108R2$&Z 0 =8!'"0%L*828], 43 3a$2+Z7L=29 } 0 10%L*828E')*600) 89!,0)}%(0++*89}')K ''2$]0+I N+7L2,1v Z0%L*828E08oM[*RP"+*E% #!#: h ) %jh O _ 7 0 ! 6 M !5P )O 0%L*828E08 a *8 0 I; Z$],.-b+:h08I )R *8W !J08Ko:[!8I$]0R!8++892)4.P %6! 2R N *K1!$&%(')# +W!%%(')*8;7(!,, =$29 v )R *8" !N I52''F-/+0-b52''(7(!,, ]!:? I0%L*828 Mh P !P)3 a 7 O93^)##+''^')KT%89!*!'Q+N%8.# )0#, 9 , o!2: +W!%%(')*8W7(!,, !: &0%L*828!PZ ?v6!, 208Ko++!890R!&!:;!$&%(')*34$&+I!)87L!89+K.++$]#$&%(')@K *%- [k 6* !8 *%FV &F2g 6* Wh L5;3 7'&Kj/P m 8UV')+*89R=+W!:')@UV')+*89R] &!')R0-/+89!~J)R!';M[ W27(+!!'')K 8,2!'!A08R!*>*8R!KO93(:['')@`

a

>O

MM B ! $

08K]:[!8"%8.RPY >:h2'':+W!%%(')*8"7(!,, ]+''(*,+c7LW!$&%('),=+c6!,N08R!*A!'!RP !>@ 0f #&)j c*8R!Kz} +W!%%(')*8cs !,o%8.+, +W!%%(')*8W7(!,, T08c22!'')Kv+')+, 29 { 0I &HWHIG.u>%- 71+N- (!#, 9fh ) 034% 4ML2j/Pcs!8Ep!$&%(')!34 =G5!0G.HWu !%L*890+,{) { (.P &`$ 0%L*828!3Y!,}+5!~X!')R0-/+89!~X!$&%(')Z*6!*8K a m u>s a & ! L& a !")0$v3):)!2$&, 0 Z0%L*828#!>0%L.,+,Nv!KN*')++1 @ +W!%%(')*8W:[',R&!8>89)6!*89*3!oHWHIG.u !: (!#, 9 !>2522!'4!,vR!890R=')!7LI08R!*W08n52)+I!756.)2>N G.HWu$]0R!*Ps!8"p!$&%(')!:4!$Z7()R2208R!*;]+%(!*7L!89#G.HWu$]0R!+*>%% 44@- )("(Z!: ;289'!,*8 !(, J +W2R h ) %j4!,] >%(0%L*875K $?M h 4M72j/Ps!8"p!$&%(')!:^!$Z7()R2208R!*;]+K. *>0%L*828 +08I$]0R!#+* R!*W$]!'')*8P

'

'A1@+%*=1

QP QP

C8" & -

&7# ! +1@B )1E&)#

'R '

>%8!7(')$]Y2+*8,N,2+89!R!W!$Z7()R2))08W,F\L*8:[!8"!9 N+K. *>0%L*828>+K.++$vPYdC !)87L!89&G.HWu +K.++$]*3L89!R!&!$Z7()R2))W08&!I,*8,J)RFUV*!Wh ) 034%)(')2j/PZ c'08R!c+!,0\ 89!R!c!:"+%(!*7L!89]G.HWu +K.++$]#$&!W 0# *KJ 6!]+*6!*89!'Q%(2'+Wo+89!)#0I!Koc$&c!,

>O

MM B ! $

kus 0dB Bp

-50dB 0

ku

G')B@ *%&'$ ,.N(!"I7' $%=' ,Q/H $%&@,3*g&'*% )B.N,3 *#: ANO G' $%=2.3)B+*..3)+1*%&92D,3*5F/2F,3)+" ,3G,3"!1'@ )+ & @ *%&'$ ,.N(Z)"8)-./ O G')53"!1'@ )C9Z7&9 9K,3G 1&'B*%&'@ /Z,3G') %9' 9K,3G *4 ,3G')51)-.,3=2.3)?.N%92 ,3 *%& 1,,3)-.3& *U"# &0@ *%7)!&9E 92)+@ *%7)H)+&')-.3$/E ?@ )C9 : 9'.(8)-.$.3)-/ .3)CNANOHD/E12.3*>+)+ &'$ *4,3G')53"!1'@ )C9E7&9 9K,3G :@ $%G>,?$.3)-/ .3)C8A ,3G')I"# F*.3 ,Q/0*4 ,3G')H@ )C9 "# &0@ *%7)!)+&')-.3$/E ?)-J2+@ =92)C9 &9 ,3G')H@ )"8)+@ *4L@ ?,N.3$%)-,3g .3)C 92='+)C9( &(,3G' ) &@ "#$%)?)+F,3 "#,3)%O G')+& ' &92&* i46='&'-,3 *%& 1'1'@ )C9Z-.3*%M,3G')g12.3*>+)+ &'$#7&9 9K,3G ',3G' M@ M@ )"8)+@ .3)C92='+)C9!46=2.,3G')-. F,3 @ @O )C92='+)C9#7&9 9K,3GU12.3*>+)+ &'$H,.N%92)+L* E "#$%)M.3)+*%@ =2,3 *%&(46*.B "#$%)g9K/2&"! .N&'$%)?&9U5.3)+@ J2)C9 @ *%&'$ ,.N(U3"!1'@ &'$5.3)C=' .3)+"!)+&>,CO

W, =!:? I0%L*828$&%(')@K!,NN+%(!*7L!89EG.HWu>;08I,)R,N+c 0; *K]')K=''2$]0+ 89!R!I+!R!E!$Z7()R2)) 1.**28,2W+]+*8:[*8#:[8$ %8*6.)2"!,N2*)6! %(2'+A8*2890\o08R!*; 0;')2,!:^ W+89!R! 2 h 6 Kj/3(!,T+K. *I0%L*828 :[.*2RN')K{!88')KS:[.*2+I =08R!*').*0+,}0Z89!R! 2 h 6 Kj/PN ?Tp!$]] ]\L !: 5 !,o:[.*2R3( >$&,*8Wb 08R!*;')K.RE0 2 035+Z *8>')+')A!8"Z$&%8@6!$&"& >!$Z7()R2208R!* ;++8R! =0:[+*8:[.*2RP G.$]'08A!7(+*8600)8+%L+M _ M 68.4?O a M 68.4O ] 5M . O M !5P LO *8 a E #!')R0-/+89!~1!$&%(')W+%(!*RPad ;!;08K]+c,*8" >89!R!#!$&%('R 8n52)8$&!)0CU(,vN E8)6!*8P ?89!+:[!89$]Rc+] =M 68.4O/-b,$]!TR)6!? _ M !5P &!O M 68.4?O a M 68.4O ] 5M . 5O ?89!+:[!89$]Rc A)R!'L+] 1M 6 .O/-b,$]!vR)6!? _ M 6 .?O a M 6 .O ] M !5P 7O a 6

]!$&%('),S)R!'YS oM 6 .O/-b,$]!S!8Z oM 6 .O/-b,$]! E$&%L+,S!:;*!'),43Q *8')K +*8:[*89R3^8*%L0+, 6!*89)I!:" =522E)R!' M 6 .O9P1sa)R28 !5P !MhOE @E! p!$&%(')&!: +;8*%L0+,c!')R0-/+89!~c+%L+89>:[!8a ;*0889)*8Q+$&%L!89!'5:[8n52K!Pa +"8*%L0+,c+%L+89W *8')K +*8:[*8I+&%8.,2W E!8892%+, Mh!'!+,VO)R!'4 @vNsa)RP !5P !M[7LO9P"sa)R28 !5P !Mh@OA @; I89!R!+W!%%(')*8&,$]!z)R!'":[!8c T!$&%('),}%L08R!**Pz =U(R28&Xsa)R28 !5P !J: A%L:7A .3)+='@ ,3 &'$?='&92)-.33"!1'@ )C9I $%&@ 1)+-,.3='":A ='&92)-.33"!1'@ )C9I $%&@ &!,3G') .N&'$%) *%1'1'@ )-.L92*%"# & :@ *%$8.3 ,3G'"! B$.3)-/2C@ ) ,3G 9' 9K/2&"! B.N&'$%)ANO

Y8+'2)=)08K]+Z%8. )0,#9 7(!,, c!:4 W0%L*828) U,9j*-*%%,gC& K\? &G%>UV')+*8 :h2)*PH %( K.*!'?+*8%8*0)JT+*89$]>!:!{0889KTR)6!W+$&c)R >+N @!%L*890)J %L*8:[!89$&,4(P ",*8I!}2,*89!$&%('),J+K. *]0%L*828]!Ev ,{0889K{!:A')R! Wa 2 P 0 S I0889K{I:[.*2+,43?)I !E! 2')$]0+&8+'2)J!: 5(P 9"*!2+] #:[.*2Rv#%L*8:[!89$&, ,)R)!'')K!3)08K]+Z:[.*2+cER!89,]) =!1!')R0-/+89!~=+%(!*RZ 0"$&***3.!8"p*," W2')F$]0+#8+'2)1'$])!:^ I0889K!P ?c$&**A 8n52)8$&*35 I!')R0-/+89!~1+%(!*R"!:^ #%8.R R!89,{08&+*E29 { 0I &89+)=!:L 8*%L0+, 0-b+%(!W)R!'?Mh+*> >,*2)& 3 G5) 5P @O9P 9"*!2+ 8n52)8,%8.R#7(!,, ^,- %Y !$&%('),c7(!,, 43! P !P)3 X W)RFUV*!!'!RE!:4 W$]!=')!7L*8R!K& 0" !.**288,]82')=Z )R =HWHIG.uEP ?!7!] 8n52)8,=8*%L0+,N+)"!: 0-b+%(!I);%L)7(')+c) *8x58*%L0; #sasa !$&%(')"2' I52$Z7L*8 !:Q8*%L0+, +W!%%(')*8A+*R$&Ap*,A I%8.R7(!,, 43!8A In52)60!');+%(0!' ,$]!J!%L*890)S#+*89'!*R16!+!89E!: 9**8E{!')R0-/+89!~{2'Q &!$&%(')&+%(!*R#08]')# ! 1Mh P !P)3+*87(',&')$&"+ W0889KO9P ?R!*890+# >89!R!- +W!%%(')*8;)R!'V @==sa)RP !5P !53 Ws289)*8+%(!>$&75K&+*89'!*RIb + :[8n52Kv,*%L,R!890R1')!7LE08R!*W+N$&08#+==522$vP +)J @ Z\LW!: 2,*89!$&%('RW=29 ],A7(!,, 43')@!:Y +K.++$v3V ')@<

>O

M

M

K K M

:[8n52K!30')@@6!*8,1c %(0%L*89a75K&HW,!$]*3u>)K!)*3!, $?')!8 h 53 4")53 )(.3 ) %j/P 2R &!''!:L 8*:[*8,!'R#) & %89!*!'$&%(')$&0)c!:4cG.HIGZ%8.+!8"!+ 0 N+K. *N0%L*8281+9 n52Nc{$]028N+9 n52N} 1U(',X!:89!,08ih 53 53 ")5?3 L")53 & 3 &!53 ) )")53 L'&Kj/3Y')Ko]!:; &8*:[*8E:[2,{75K{ I!2 !8Z!2!'')K{$&%(')$&+,{]!:; ]$]$&')K 2+,SG.HWu%8.R1!')R!!89) $]>:[!8E1+08I0%%('*0)4P# >!$&%(')I+] E8n52)8,N,'K!P m 8*6.)246!+)R0)^!:,a7(!,, I+K.++$]^p.%L*89),I,Fq1*2')bK#E!!')K.RA!,Z$2'0R

\LQ!: 89!,0)E%(0++*89^R!*890+,c,289RA +89!$])I!,E8*%)Z!:,Y7(!,, )R!' Po 82R }2))6!=08R2$&*3$&+!:A 1%8*6.)2Z6!+)R0+!89c!+,} 0c =@6!*89!''"\L !:# T,N7(!,, X89!,0)z%(0++*89yy! ,)6.,2!'08R!*=` 53+E 0%(089!$&*+*8908>8'0+,=+Z >+!!*2+89!$])++,&:[8n52Kc) c +89!$])++,Z%(2'+ ]dCcG.HIGV3:[8n52KE,*%L,?0++520)c$&!^ 0Q7L*++*8G CWuz?!9 )*6!,0a')@89~ h !ML2jhO9PT ],*89)600)S!:A ]&08R!*W089!R! 2?3 M !5P 4O dCs Ua . a 2 Z,*%L,#!:a Z+K. *E0%L*828E')R! 03(!,T E Z$&%8@6!$&:h!+!83(T:[8n52K $&!# 0E')R!*8I0%L*828#08&R!*890+,S:[!8I')@%( !+E*88!8>+$]0)4P; E2+E!:a,I7(!,, v)R!'A!'+1!'')@A:[!8W],*8+%L+89!' *'!FUV*0)!:V+5(5!89*3!,F\L*8Y$&%L))?!:V$]0+*89!'a A+5(5!8Y 6!>*0++*89R#%(089!$&*+*89 0a,*%L,E!+%LQ!R');!,E+89!$])++,Z:[8n52K!P J!KE08R!*Q2+*8,cE%89!; 6!;+$& +!8!:L!+%L,*%L,A+E 0 &$]0RRI) &I088@08R!*>0E5M 27683?O a 5M 2 6 (O= I!')R0-/+89!~N,$&)]!: 1M 68.4O/-b,$]!T . a I *8 2 M 5O 2 a 2 M ;O?a M !5P (O M .O "

#

#

#

>O

M

M

K K M

$])R!890)J!: cR!890RN')!7L) o:[8n52KT!'')@W,Z7(!,, o+K.++$]W+U- %*W \L !:# TR!890R}')!7LT08R!**P &$&089R \L1**89R} 4M7X:[!812+ {+K. *c0%L*828&+08E+K.++$] h )M72j/P*!>@*!+&2R !34)W>:[2,o 0W c )R +>:[8n52K "bI E')@8+%L+!Psa)R28 !5P L] @A %8.R1,$]!W!:"N%LW08R!*I 0E !#7L*{''2$]0+, `+FU(,1) {!{.6!]+89!$])++, )R!' 3^!,S !I7L*S!$&%('),{0Z!')R0-/+89!~ +%(!*R#!: a ) XM[ ]$2'0)J%(089!$&*+*89Z2+, 9 0%+*8]08N +N!: NDE)F-CG.HIG{R)6!zX Q07(') &P 5O9P 189 $ M*;!ghf H&)j &g *5 *ga>0%%8!%890+Z:[!8#,89)7(R& %L0~.>) *8#,Z!: Z08R!*#8+%L+o!')R0-/+89!$~ 3T0#=R)6!J89!R!Z $]`p$2$t')*6!'?!: R!890RN')!7L *8R!K= 0A,*+*89$]" E');N$]0R!I,K.!$]>89!R!IN2,*89!$&%('),=+K.++$]*P #').*0)N!:? $]`p$2$ W7L+I @S{sa)R !5P LM[7LO93? &%( !+&$]09 Rv!: ],0v{sa)RP !5P !Mh@OI !I$&08,S !$Z7()R22c*8R!KX!:W T2%%L*8c!,y')@,,N.3$%)-,& : 8A &@ "#$%)H)+F,3 "#,3) >: $# 'A G')-.3)I,3G') $# *.3 $% & H@ *>C,3)C9 , B:7A!: # A 92*%"# & :6.N&'$%) *%1'1'@ )-.-AB:A!: 'A 92*%"# & L: 9A#: A 92*%"# & O "#$%)+U: 8A5&9 :A G& 8)B7)+)+& &92*& )C9!*?,3G, *%&'@ /!)+&')-.3$/ ,3G' &!,3G') *%1'1'@ )-. 12.3*>+)+ &'$I7&9 9K,3G &9H,3G')L.N&'$%) L&8)+&K='"I7)-. 7&9 9K,3G I g12.3*>+)+)C9 O "#$%)+!:7AM&9 : 9ABG'*& ,3G') *%1'1'@ )-.g $%& @D12.3 *.?,3* &92*& &'$2O *()+"!1'G ;+) ,3G')g"!)C.3)C9($.N,3 &'$!@ *%7)?)+&')-.3$/ ' "#$%)+?: 8AL&9 :7AL.3)?92 1'@ +/>)C9ZB@ *%$8.3 ,3G'"! ?$.3)-/2C@ ) ,3G 9'\9K/2&"! B.N&'$%)%O * )+"!1'G ;+) ,3G')M1'G) .3*,N,3 *%&'L &#,3G')B='&92)-.33"!1'@ )C9!9',N K "#$%)+g:AD&9 : 9A G'&* *%&'@ /!,3G') .3)C@+*%"!1*%&')+&>,3*4 ,3G')B $%&@ +O ) L& 8)+&K='"I7)-. 92*%"# &( & : 9A B92=')M,3*I,3G')g9',N5.3)+"#1'1' &'$2O NGZ & 8)-.3 *%& @ $%*.3 ,3G'" 12.3*K92='+)+ ,3G' ) )+-,CO F,3*.,3 *%& *4 ,3G' *,3)M,3G&, K*,3G')-.L,3G&#,3*H92)++*%& 8*%@ 8)B,3G')B.N%92 ,3 *%&(1,,3)-.3&() )+-,3" 2&'*5.N&'$%)*.B@ *%&'$ ,.N( )+ $%G>,3 &'$%LG& 8)M7)+)+&Z1'1'@ )C9!,3* .3)C92='+)g 92)+@ *%7)++O

UV')+*8I%(089!$&*+*89*3? P !P)34+5T$29 S89!R!]$])R!890){!88) !#7L*{0%%('),J+v &!$Z7()R22#08R!* *8R!K!P] ]$&08,S*8R!K{ @S07L@6!=!,S7L')@< &%8.RN7(!,, JI!I%8.+,43?)I $&%(')KJ @ +o$&%( !' 9*& =\L!:; &UV')+*8$]$]09 =!$Z7()R22E08R!**PT &%LZ0 9 & Y!$Z7()R22Y08R!**8R!K&YE$]`p$2$a %L0 9 c *8R!K&$&++890+, J89!R!!3? P !P)3^ &%L#0E 9 J `-/7(!,, J#v$]`p$2$vP 0 ) {8*:[*8&+Tsa)R !5P LM[7LO93? %L&&+* +S7Lv').*0+, z '1) z v08R!*]8+%L+v0]89!R! 2 `3" P !P)3 2 a (.3;0& v:[',R +W!%%(')*8ZO

K K M

M

08R!*>8+%L+Z ! Z,+A7(!,, N>0> )R + ]60!'2A *8E ZR!890R=')!7LZ$])R!890) 9 !RR] ')@+89!+:[!89$l!:Y ZM 683O/-b,$]!o)R!'^0/2 a (.3 P !PY E8+%L+Iv!')R0-/+89!~v 82R v I08R!*W$]`p$2$ _ M ( 683?O a M 683O M !5P @O a M 8 6 3 O :[8$ 1n520) )v*!7LS+* 0v S08R!*T%L0~ 0}5M 2 683O a M ( 6 (Ov1 2$ Mh+*R!89!'[O=!: M 683OY!')R .PG.A +%L+892$ Y!:42):[!89$

)R *35 %L0~&& 5M 2 683O/-b,$]!=8!+, 75K= I:h!+!U8 X LXZY '[]M[%(2'+#$&%8)v*!'),N+]+%(0!'45!89,0+ O9P"G.$]'089')K!3 E$]`p$2$ R!890R=')!7LE$])R!890)v7(!,, N*!T7LZ,*+*89$],N:[8$w Z89)+*89c 0> Z!')R0-/+89!~o').*0)T!: =R!890R{')!7L=%L0~ 0 N$]`p$2$ :[8n52K $2+!c$])R!890+N!K}$&!81 !} 1, !: 0%L*828 3 ;R)6! E$]`p$2$R!890R=')!7L#7(!,, SMh !>*8; 9`O;!: M !5P O X (a

2 8[ *8 Wa XZY 1W c$]`p$2$t:[8n52KTo c+89!$])++,{)R!' P#u'0)6!c+N &')*6!'Q!: IR!890R=')!7LI08R!*W$])R!890)43 E%L0~N!:a Z$]`p$2$R!890R=')!7LI08R!*>*8R!Kv8!+,v75K #:h!+!8 LX '[&M[R!890R]')!7L#08R!*>$&%8)VO9PYd :? I89!,0)1%(0++*89T;!,6!')6!,o!8 #%8.+, +W!%%(')*8;7(!,, 43 I!$&%(')2,>!:? #R!890R&')!7LW08R!*A8'0)6!#+& I$]!108R!* %L0~NN =M 683O/-b,$]!T08Z0%%8p$]0+')K17L2,,175K1 E:h2) M 682 683?O ap.% 2 3 M !5P ")O *8 5'P %60!'20R}M !5P ")OE0E &U(89+#R!890RT08R!*').*0) 3 a &R)6!Zv%8,+, R!890RT08R!*c')*6!'!:Ap.B% h M .M O+O j/Pv 52*3? 1$]0R!=,K.!$]&89!R!=Z'$])+,{75K{ \ % Jg/j

M*;!ghf &)j ]*;!ghf j1M m .$?u#O" 9 vAR)6!Tv,*)7L'A! m .$?u a (Y')!R p.% XXZY M !5P 5O

!!

!

!

!

#

!

!

!

#

#

!

#

as )R28 !5P & @; 318C-b+)v 82R 2 a (c!:Qc%L;08R!*R!*890+,TN&$]'08":h! ) +&sa)R !5P LMhO93(!,1 m .$?u!;%8,+,175KSM !5P 5OPHW'+c @1N WU(R28#" #')*6!'L!:?7(!,, $&083>$ ` 3.%8,+,=75K] #,>7(!,, &R!890R08R!*!!')K."1u') " h )")53% (j/x 0

dB 0 Dgmin+ D 2 LBWS PGLR

-20

Unweighted response Weighted response

-40

-60 -8

-6

-4

-2

2

0

4

6

8

y

@ *%&'$ ,.N( -.3*% )+-,3 *%& *4M& ='&92)-.33"!1'@ )C9 1*% &>,5,N.3$%)-,I.3)+1*%&')%O G')!,N.3$%)-,'LI$%)+&')-.N,3)C9W=' &'$ ,3G') 1.N"!)-,3)-.3 & 7'@ ) >O U46*.?#,N.3$%)-,?, "d,?& @ *%&'$ ,.N(E3"!1'@ )51+ &'$(*4 2O G') @ *>C,3 *%& *4D,3G')5"#J2 "I='" *4D,3G')5$.N,3 &'$U@ *%7)I)+&')-.3$/ 2: %A "L+/ 4 .3*%" ,3G')5"# &E@ *%7) G' @ ) ,3G')?G')+ $%G>,*4 ,3G')5$.N,3 &'$#@ *%7)5.3)+@ ,3 8)?,3*!,3G')?"# & @ *%7)5 g++=2.N,3)+@ / 12.3)C92 -,3)C9Z7>/(,3G') #: ANO 24 .3*%" *%@ , ,3G')+ BG'*& &(46*.M+*%"!1.3 *%& O G') G')g$.N,3 &'$!@ *%7)?@ ") 8)+@ 12.3)C92 -,3)C9(7>/!,3G')g@ ") 8)+@ *4 7&9 9K,3G("!)C&. ='& )+ $%G>,3)C9Z.3)+1*%&'' ) L*%72,N &')C9 4 .3*%"d#1)+-,.N@ )+F,3 "#,3)?,3G,gG%9Z,3G')?4 .3)C=')+&'-/E92)+1)+&9'&>,"!*K92='@ ,3 *%& .3)+"!* 8)C9 7'=2, F,3 @ @G%9H,3G') )+ $%G>,3 &'$5*4 ,3G') .N%92 ,3 *%&U1,,3)-.3&#* 8)-.,3G')M@ *%&'$ ,.N(H12.3*>+)+ &'$I7&9 9K,3G O G') )+ $%G>,3)C9!.3)+1*%&')MG%9H,3G') @ *%&'$ ,.N( )+ $%G>,3 &'$#92)++*%& 8*%@ 8)C9 K46*%@ @ &* )C9 7>/ "!"! &'$ )+ $%G>,3 &'$2O )+),3G')M,3)-JK,L46*.B"!*.3)?92)-,N @ +O

!#"%$

*3

M !5P "!O ]')!R 2 >[8 XZ Y M C>!+E 0u') A ;+0+ "n520)TN,#9$]0R)2,!3!A!%%L+,1+],#9%L@=$&!82+*:h2'LU(R28Z!:$&*89):[!8W,*+*89$]R& ')>!:$]0R!,K.!$]I89!R!,2E+N!'!CRP"sa)R28 !5P 4] @ E600890)v!:a m .$?u ) v8+%L+xV!$&%(')E+%(!*R308R!*>89!R!!3V*0889)*8 :[8n52K!357(!,, 43!!,=+%L+89!',@RPQsa)R28 !5P 4MhO!,JM[7LOQ08R!*;07L@6!I I$]`p$2$ ,')!7L&')*6!' P&d Z#')KJ { =!')R0-/+89!~ !$&%(')c890+1#R!80+*8 ! \a !N+ )N 0E R!890Rz')!7LJ')*6!'W,8!%(]7L0 J,')!7Lo')*6!' P_sa)R28 !5P 4}!'')@=J+ ,*+*89$]T {')=!: ,K.!$]I89!R!:[!8#]R)6!{!$&%(')Z+%(!*R3(!8I)>!'')@>Z+N,*+*89$]Z $]$2$w!$&%(')Z+%(!*R :[!8ZT,)8,S,K.!$]c89!R!!P=s!8Zp!$&%(')!3Q): )(!#, 9 ,K.!$]89!R!]$29 43N:h!W);+):[K=,F\L*8+#89!R!c+:[8n52*) h 43 " &3 L %j/3Y!J0%L*828Z) J$2'))%(')I7L!$]Wn52+,J !')R0-/+89!~ h ) 2j/3!,1ZR')+89!$])0%L*828>$Z7(,]) =$2'))%(') !89' 9*!'QMh!')R0-/+89!~O8)6! 0%L*828Y!'+I~.@&!#6!*89)*80889K h !ML5C3 7453 43 )")2j/P; a+)] @Y 0Y A6!*89)*8+K.++$ a ')KT%89!*!'a+K.++$vPZ c8!+c{$&%(')p)bKT!:" 089,$&%(')@K.R]$2'))%(')I7L!$]>!,T:[8n52*)>v89!R!Z!8#$2'))%(')In52+,v7L!$]>o!')R0-/+89!~ $]0~! Z2+I!:a +E+K.++$]>2')~!')K!P {*%N!:Z:[!89$]RX$2'))%(')T7L!$]=+y+):[Kz,F\L*8N.-/@6!*89'0%%L,89!R!{+/M46*.3) 7)C"K:7A *%1'1'@ )-. 1)+-,.3='"i12.3*K92='+)C9 7>/?4 ,D7)C"2:A *%"I7' &')C9 *%1'1'@ )-. 1)+-,.3='" ,3GH"!1'@ ,3=92)"!*K92='@ ,3 *%&H92=')D,3*B,3G')D.N%92 ,3 *%&H1,,3)-.3&5*4,3G')D.3)C@'1)-.,3=2.3)+" : 9A "#$%)B-.3*% )+-,3 *%& G')C&>/!@ &') \ "#$%)B12.3*K92='+)C9 ,3GU"!1'@ ,3=92) "!*K92='@ ,3)C9H1)+-,.3='"K9'G')C9!@ &') \ "#$%)B12.3*K92='+)C9 4 92)++*%& 8*%@ 8)C9 : "!"! &'$ &92*& )-.3)U1'1'@ )C9 & .N&'$%)(&9W@ *%&'$ ,.N( 92=2.3 &'$ 12.3*>+)+ &'$>ANO *%1'1'@ )-.I1)+-,.N .3) -.3*% )+-,3 *%&'B*4 ,3G').3)+1)+-,3 8)!: A 92*%"# &( $%&@ M, ,3G !@ *%&'$ ,.N((3"!1'@ )1+ &'$2O

!:#%8!7(')$]*xA:[!8=!9 7L!$ +X+):[K}')KX o+!:)R!'^%8.R3( c+:h28 *8 2Z08=$]0R!,}2Rv+*89'!,S%(2'+*3? $29 =!$&]+!'')K1 !$&Z!> Z6!*89)*8+9 n52!P !>@!:4 W$2'))7L!$ +9 n52W2')~!')K!P;M C>!+# 0 o!')R0-/+89!~ !$&%(')T+%(!*R]08 0%(08*3;!8= y$&!8T !yb$&%(')@K.>$2'))%(')I!')R0-/+89!~ 8)6!*89*P"dC++!,T!:a7LR]2+,v+18!+E Z!$&%('Rc890+!3( Eb0\L*8W c$&+ (p)7(')bK1!W *KT*!o7L+, != R')v K.,8!%( !3!8=*!y7LT')*:[]!=$2'))%(')N K.,8!%( *37L!$ :[!89$]RS,5]!= 6!o+ 7L %L*8:[!89$&,&c8!'$&!3%( !+,F\L*8Y7L*b+%(!*R !:;*')+&+ T *8 a (!*$vP]dC{ )8 44")v!, 44o%(0%L*89 h 03 %j/3a # G 9 R!82%}2R!R!+ S$2')')5!~ +9 n52v 0] *8')KX!,,& v%( K.*!';0%L*828T$]0R!*P c& $]2+1!:# $2')')5!~=*%W!!89$]!'')K10%%('),1+=+K. *E0%L*828E+K.++$]*PdC$]0R!%8.,2,Nv ;+K.++$]",*6!'F!%L,]+,0+# 6!W!'')@R!5.,{!2+0-b!88'0){%8!%L*8)*3L P !P)34 )R 43L088@< $]!o%L0~V3L) o')@< ,')!7L*3V!,J8!+07(') 8C-b!88'0)S%8!%L*8)*3? P !P)3QT2):[!89$ ')*6!' (P 9"*!2+=!:" ]8'`p., 8C-b!88'0) %8!%L*8bKJ!: c.,,J%(2'+*3L+K.++$]# 0I2+c.,,J%(2'+W+8.,2N')*6!'a!:+'): -b*'2++*8# 0I#,*+*89$],o75K E8C-b!88'0)T%8!%L*8)"!:a Z.,2+, h 453(% ) '&Kj/P dCz!KX0%%('*0)} 0&2+&.,,X%(2'+*3a v*0889)*8c:[8n52K!3%(2'+=7(!,, }!,z+%L+892$ 0%L&$2+E7L],*!'a:[!8Z!9 }.,!P1 I#7L*!2+] ( +W!%%(')*8E)R!'Yp.%('))+,{75K{ =+K. * 0%L*828&+9 n52=8')I}T%( !+= ++!8KS !')R0-/+89!~ 0cE,*%L,E =+89!$])++, :[8n52K]!,N+%L+892$ 0%L!Pad :4 I.,;+8.,2W,F\L*8"*0889)*89;!,1!$&%(')2,>$&.,2'0)]\L*3 +W!%%(')*8;7(!,, 1!'!+A!,1*88!8A:[8*E6!*89)N;!;%L)7(')!Pa #%85!:?!:? "8n52)8$&A R)6!v75K1s h !453 %)")j/P 0W *8" != W:h!" 0 ; s ",*!'+cs T- 20_3.!,1 #++89!,]75K& #!$&#+%(`!'V!$&%('RZ8n52)8$&"!A+%(0!'(7(!+,N+K. *#0%L*828#Mh+*G5) P !O93,*8; W:['')@R 089)0 _G.#*; s +08;'089')K&+!:a+0)08K1%( !+!P ?=,*+*89$]# 0 +W!%%(')*8A+%L+892$l;%8.,2,43.,*8 I+K.++$$]0RRII%LQ08R!*"0W5M 27683?O a 5M 2 6 (OQ) c $?s r%(2'+A+),]bO

M

K K M

0

0

MhO

0

M[7LO

ku

0

ku

Mh,VO 0

ku

M[: O 0

ku

0

0

hM @0O

ku

0

0

[M `0O

ku

G')?) )+-,*492 )-.3)+&>,MC..3 )-.M4 .3)C=')+&'+ )+M*%& ,3G') *%1'1'@ )-.M $%&@OH: 8A :A &9 :)A .3)+12.3)+)+&>,M,3G') 1)+-,.N 12.3*K92='+)C9!7>/!3"!1'@ )+L,LC..3 )-. 46*. : >A: A '&9H,3G')M+*%"I7' &')C9!3"!1'@ )++O G')M)-JK,.N 3"!1'@ )+?,?,3G')!3"!)HC..3 )-.54 .3)C=')+&'-/0+*%G')-.3)+&>,3@ / &>,3)-.46)-.3)#&90.3)C92='+)I,3G')!) )+-,5*4 @ &'$2O "! @ .3@ / :7A : 9A &9 :)A .3)+12.3)+)+&>,M,3G'' ) 1)+-,.N#12.3*K92='+)C9 7>/Z3"!1'@ )+,gC..3 )-. 46*. 46*.#: A &9H,3G')M+*%"I7' &')C9H) )+-,COD)+C=')M,3G')+)M3"!1'@ )+L.3)M,N (8)+&#=' &'$5 $%&@ ,3G(92 )-.3)+&>, C..3 )-.3"2,3G')M+*%G')-.3)+&>, &>,3)-.46)-.3)+&'+)*4 ,3G')M, *H $%&@ M92*>)+ &'*, .3)C92='+)M,3G')g) )+-,3 *4 @ &'$2O

!')R0-/+89!~v').*0) ]!, M O {M a ) 5O9P"sa)R28 !5P "MhO93YMh@O93V!, M[`O; @< @< +8.,2)Z!:V$&!8A!$&%(')ac!')R0-/+89!~c0Y 4? Y*0889)*8a:[8n52KZ *8')Kc+*8:[*8Q+I8,2 ]')*6!'Y!:;!')R0-/+89!~ !'!RP("6!*89+')K!3Qsa)R*P!5P "M[7LO93AMh,VO93Q!, M[: O# @< @!$&%(')]!')R0-/+89!~=0" 0f R6*%6(g(*0889)*8:[8n52K&,5!82')] *8;+*8:[*8 0 8,2#!'!RP 9"*!2+] &!!')K5:[!89$ !: ])R!'a @- +s289)*8E+%(!]W~.@43^)IW%L)7(') +J$]09 UV')+*8Z 1)R!' P +#2=+o =:h! 0Z =89!,0)S%(0++*89XZ@< :[8n52KS,*%L,Z @- +_,$]!435);08K]+c8,2> W%8.RE7(!,, &+c )0#, 9y7(!,, &!:^ #')@!'!+,]+)Y!:L 08R!*"8+%L+!Pa $]0 $]0*!':[!89$2'0)&:[!8I%LY08R!* !$&%('),v0>087()+8908K1').*0)A8*%8++,v75K1 Z$&%(')pN60!'2,N7(!+*7(!,T)R!' ] 5M . ] .4 M 8 6 4 . O ? a M 8 6 4 . O O ] 5M . 5O M !5P )(O *8 ] .N8*%8+!]087()+8908Kc ):[a!:L >!$&%('R#:h2)]!, M 68.4OQ8*%8+ >522 :[!89$l!:Q E,0&8!89,,N:[8$wc%L;08R!**2P C>!+Z 0087()+8908K1 ):[R!:Q I%L;08R!*>75K ] .J Vj!g4 Z!$&Z! ):[R Z!$&%('R:h2)4P E+%(0!'^s289)*8A+89!+:[!89$l!:a E!$&%('),N%LA08R!*W)R!'4;R)6!v75K M !5P ) @O M 6 .gO a 6 p.% ] . *8 8*%8+c v8*%L0+,y+%L+89.Pz c)R!'A*!z7Lv6!*89+T+%(0!'As289)*8&+89!+:[!89$&,z+

"

>O

M

K K M

M

0

0

kus −∆ g

MhO

∆g

0

- Bp 2

u

0

M[7LO 0

Bp 2

ku

Bp 2

ku

0 kus

Mh@O

−∆ g

∆g

0

- Bp 2

u

Mh,VO 0

*,N,3 *%&H*4,3G') @ )C9H)+&')-.3$/5 &I='&92)-.33"!1'@ )C9? "#$%)++O $%=2.3)g: 8AG'*& ,3G')L@ *%&'$ ,.N(5 $%&@', 4 .3)C=')+&'-/ 46*.H3"!1'@ )?1+ &'$!*4 U&9 HF/2"!"!)-,.3 3"!1'@ &'$I46='&'-,3 *%&W: ANO $%=2.3)U:7A G'*& ,3G' M@ )C9 $%&@ & 1+)%O G')g.3)+1)C,3)C9 1)+-,.N! &>,3)-.46)-.3)?+*%G')-.3)+&>,3@ /(,3*#12.3*K92='+)g,3G')? $%&@ G'*& &E & $2O >O >O $%=2.3)+I:A &9 : 9A G'*& "! @ .I $%&@ ?46*.H&'*%& F/2"!"!)-,.3 I3"!1'@ &'$ : ANO G')!G' 4 ,I*4 G@ 4M(3"!1'@ )! & ,3G')H3"!1'@ &'$Z46='&'-,3 *%& C=')+I .3*,N,3 *%& *4M,3G' ) '.3F,!$.N,3 &'$ @ *%7)%O G')Z&@ /K,3 (46*.3"!!*4M,3G')U46='&'-,3 *%&'!G'&* & &i:7AI&9\: 9A5.3)Z=')C9W,3* $%)+&')-.N,3)(,3G') 92)++*%& 8*%@ =2,3 *% & @ ,3)-.3+O

,*+*89$]# E\L!:a +E8*%L0+,T+%L+892$T E+%(0!'^,$]!43 M !5P ) O M 68.4?O a M 68.4Op.% . p.% ] . 8 . *8 z8*%8+I &R!890Rv')!7Lc08R!**3a!I ]!$&%(')&').*0)*Pc U(89+#p.%L!'Y M !5P ) O !E+J,$&.,2'0+& ]R!890Ro')!7L&*8R!KS+T 0Z)Z')#) J 1!$&%('),S+%(0!'Y7(!,, 434 +, p.%L!'I 1087()+8908KJ8!0)X,2&+J!$&%('RN:h2) ').*0)43a!, ]8Z:h2) '$])" IR!890R=')!7LAv!')R0-/+89!~VP" E+%(!*R&!:Q +ER!890R=')!7LA;R)6!o M !5P (OP sa)R28$ !5P { @ 1+N!:> N,!'UV')+*8c*%c:[!8c v!')R0-/+89!~X)R!'"0c N*0889)*8

:[8n52K `P sa)R28 !5P MhO]!,_Mh@O& @8!0RN9 089!+*89+c*!{7LZp.%('))+,o+v,*6!')!%{b Z%8.R&+N!')82')>T+$&!'!>2%%8)v>,UV, !?_ M 683?O a M 68M 3O 683O ( M !5P '(O *8 Q $]`p$2$#, 9z')*6!'.!:V2%%8)Z8n52)8,vM[bK5%(*!'')K !0#, 9%- !0#, 9 o!8)89 0%%('*0)VO9P WUV!'4$]0R!E+$]0+E) N IU(89+!$Z7()R2)bK12%%8+,v; vR)6!v75K M !5P @O 5M 2 683?O a M 683O M 683O *8])Z 2',S7L]!+,} 0Z =$]0R)2,&')KS$]0R!=$]!+~S!7!,S:[8$ M !5P '(OZE$2'))%('),J75K &$&%(')pzM 683O/-b,$]!{$]0R!&+$]0+&,0.P@o!8)89N2',{0%%(')Ko W$]0R!&$]!+~J,)8')KT+v $]0R!I+$]0+ZN 15M 27683O/-b,$]! h ( 453V% 74 2j/P sa)R28 !5P )1 @> 0%%('*0)T!:!$Z7()R2)bKT2%%8)v+N!J$]0R! 0# !>7L*J!$&%('),o !')R0-/+89!~S0 a ) P= c+89!$])++,S)R!'Y@6!*89!{.6!17(!,, 4PZsa)R28 !5P )MhOI!,

$#&%

$#&%

! #

!

! #

$ #&%

!

! %

%

$#&%

! #

! #

!

!! #

!

! %

!

$#&%

$ #&%

'

y

y

grating lobe energy

0

0

hM 0O y

[M 07LO

x’

y

grating lobe target migration

x’

suppressed grating lobe targets

0

0

- 2pBc

c

hM 0@O

2pBc c

kx

- 2pBc

c

hM 0,VO

kx

2pBc c

"I7' $%=' ,Q/I='1'12.3)+ *%&#*4='&92)-.33"!1'@ )C9I "#$%)+" : 8AD&9Z:A .3)+12.3)+)+&>,D,3G')5: $# 'A &9 : 'A 92*%"# &H $%&@ *4H,N.3$%)-,12.3*>+)+)C9 &Z,3G')?&'*.3"#@ 4G' *%& :7AL&9 : 9A .3)+12.3)+)+&>,B,3G')g3"!)? $%&@ ,3G ,3G')'.3F,M$.N,3 &'$#@ *%7)5='1'12.3)+)C9 :7'=2,B&'*, .3)+"!* 8)C9ANO &W: 8A 9' &9 %9' &W:7ANO "#$%)+?: 8A &9 :7AL.3)?@ *%$8.3 ,3G'"! 5$.3)-/2C@ )5G'*& &'$ 9' 9K/2&"! #.N&'$%) G' @ ) :AI&9 : 9A5.3)(,3G')#.3)C@ 1.,H*4M,3G')0: 'A 92*%"# &W $%&@ U$8 &'F,UE@ &')C.#$.3)-/2C@ )%O "!"! &'$ &92& * &'$!G 7)+)+&Z1'1'@ )C9( & @ *%&'$ ,.N( '7'=2, &'*,B &U.N&'$%)%O

hM @O @$&.,FU(,&+Z%8. W,0 %8.,2,N:[8$w]++89)%-b$]0%T+K.++$vPdCv$]')08K10%%('*0); *8E!T!)89890:[>*0889)]++89)%-b$]0%JG.HWu 0!%L*890+) }%(089!$&*+*89 0&!'+{0+:[KS 1+$&!R!890%( =:[!89$2'0)}!:>+%L!')R $&.,!3Y)c $]$&:[!8Y G.HWuz%8.+!8a+I%8.,2"+%L!')R Q$]0R!;+$]0+a:[8$_) E ;8!89,,c++89)%-b$]0% ,0\h "L53% "j/P 0W:[+N E!')R0-/+89!~v,$&)=!:? E0%L*828 %8.,2; +W!%%(')*8;8n52)8,v:[!8>8!!Z$]0RR=!,v%82$]$&*8908Z$&%(')@K!, +ZUV')+*8" Wp +W!%%(')*8"7(!,, ]!$&%('),=75K] EG.HWu +K.++$oHM h !535% )M7 %j/B3 h 7'&3.% )") - )")")2jHh L2jhO9P 0%%('*0) !:A 1R!*89!'' 9*,X+%L!')R !')R!!89) $ :[!8:[!89$]RT +N+%L!')R $]0R!cZ!'+J%L)7(')!P dCJ &0%%('*0)o!: cR!*89!'' 9*,{!')R!!89) $t:[!8#,7(!,, o+K.++$]# c%82$]$&*8W+89!'0+ +{! M 6 .O/-b,$]! UV')+*8PT IUV')+*8Z2+,X0:[+*8&!')R0-/+89!~X$&%8) + 0'f !fhg && KU j!Cg & 'f 0i5g; +W!%%(')*8Q'KN2,I!:a Z,)R)!'')K=+%L!')R 08.P I!'!Rc,*2+,=:[8n52KN!:Y08R!*#')K.R&) v]89!,2 E0#=+!,0\S89!R! 0 A:[8$ #+08"0:[+*8A!')R0-/+89!~=$&%8)]!:^ W)R!'R)6!=75K{M P 7M7OP #)6!= 0" W!$&%('), +W!%%(')*8A08 h 6 j/3 I89!,2;!:Q Z!88')Kv!$&%('),v08];R)6!T75K 0 a a M !5P O *8 a .M 5O*!T7LZ+*8%8*+,T! =[k ^6* ? & f 1.?@,g/j *A!:Y Z52''F-/+0-b52'' +W!%%(')*8>7(!,.

#

, c!:L >0%L*828!PY Q08R!* 0')A2,A!:L 8*R)],UV,&75K 037(2) >52''F-/+0-b+*8 , ]!:^ #0%L*828>89!,0)]%(0++*8943.:[',= )8"+%L+89!'(*8R!K=+ #2,*89!$&%('),*+W!%%(')*8"+%L +892$vPY 52 W8n52)8$& 0" W2,*89!$&%('),c08R!*A')1Z7('!,&7(!~5R!82,4PYdC] *!+!3. !'!+,T+%L+89!'L*8R!Kv*!2+>$]$]!'V$]0R!Z,*R!89!,0)4P +#)R)!'L+%L!')R RZ!:Q$&%(!2,*89!$&%('),]08R!*$]0~!A2+W!:? 4* f j * fV~.@'),R!# 0; !$&%(')2,&:h2) !:A =08R!*&E% + &%L&*3 m u>s !89$]!'')Kc'6!,=+@+W!%%(')*86.)R0)12)Y 9 ]$&!28 W!)89890:[+%L*, I+Z~!**%N !')R0-/+89!~J!$&%(')Z+%(!*R a m u>s +! h )"!2j/P.9;2')~T$&!)J$&%L0)o>bK5%(*!'')KN7(!+, Z 2+%(2?!:(*8!'6.)R0)c2)"M[d C #W O4!8a*8!'$&!28$&a2)M[d #W IO h 7'&3 7M753 (@L2j/P 2+%(2!: !*')*8$&*+*89IT +d C #WW08c,27(')-b+*R!890+,T+1K.)',T Z%('0+:[!89$t$&!)*P>HWK ,89):[Y!8"0\4+**88!89"& W!*')*8$&*+*89;+89!'0+>+,+%('!$&*88!89 0;08>%8!%L!8)!'.+$& n5208,4P?dCcG.HWuz0%%('*0)*3@ $&!:+K. *0%L*828:[!89$]0)Z?bK5%(*!'')KI:[* 0 $&!)v%(089!$&*+*89,*89)6!,v:[8$d C #$&!28$&>08I!:[+o!,n520+E:[!8>')@< 8+'2)v$]0%%(RPadC +08Y0%%('*0)? *8 A+*R!890)c$&;*!c7Lc ;!89,*8a!:($]52+*30!8&G.HWu )20)? *8

)R N8+'2)vA8n52)8,43. E2+%(2A*88!89!:ad C #W*!2+>)RFUV*!$]0R!Z,*R!89!,0)42P C>=$&!) $&%L0) 2)+]7(!+, }d C #WZ!')1*!X!*2:[!8,'K.Z,2]+J$&,2$ $&!R!))E!, ')+8+07('))!: c+89!$])++*8 @8)6!*8E*)89*2)+8K!34+v!''Q%89!*!'Y+K. *c0%L*828c+K.++$]

$&%(')@K1+$&I:[!89$!:a$&!)v$&%L0)N7(!+,NN E,0&)+'): 3. E!')R!!89) $];2+,N:[!8A+$]0R +Z$&!)v%L*8287(0);08ER!*89*!'')K=8*:[*88,v+=!!0kg//j .*j ,*k A!')R!!89) $]*P +#)R)!'^%8.Rc!:+K. *E0%L*828E,0= !>$&!> 0>,0='')+,o!')R=!Kv%(0 o*!T7L 6!*8+,N!A')Rc!" I+K. *W0%L*828W%('0+:[!89$ %(0 N;!**2890+')K=+$]0+,16.Zd C # !,N!2+!:[.*2 $&!28$&*P 52*3.+K. *>0%L*828W$]0RRZ) =$]!26!*89;%L)7(') h (@L2j^!,1!'$&+;087()+8908K %(0 *!T7LE2+,N+=$]0R!Z h ^L53(% )("('j/x(+*E:[!8>p!$&%(')I E*)89*2'083V)R A%(0 T2+,T h ^72j/P

" )! ' ! "[y iT & "[y-" T R ,-" '& QP +2#%3"3CB*6 3"14)1 */&7*6 *:!.&) 1E&)# 40D#&7)1@!.& #%3+&) QP

143

?+$ & 1@"?

! 8 "

1435*67&)8+)* 0D#%))*:B1E&)#

R

/1E&)# 1 8 &7#%$ # 0/8"! + @

8"B &) B#+$]0+, 75K{UV')+*8, `,)6.,R1 ' +W!%%(')*8+%L+892$ +Jo52$Z7L*8Z!*: ;+')5!~. =T) S!9 z')5!~ !88+%L,Rv+ 1*8!J7(!,, v!:Y c!')R0-/+89!~ +W!%%(')*8>U(',4P %!9 ')5!~=":[.*2+,N2R!v)!'+$]0+I!:^ +W!%%(')*8;%(089!$&*+*89;+&R)6!Ic+*;!:Q$]0R!;) =8,2, !')R0-/+89!~{8+'2)4P +]')@< 8+'2){$]0R!&@6!*89'K{p!')K{): &!%$]!' +W!%%(')*8I%(089!$&*+*89

6!E7L*v!88')K1+$]0+,4P !>@ !>8')Kv7L*o!,0%+,o+1%8.,2E Z%( !+Z*2860028!2+!:[.*2cM m ;HIOA!')R!!89) $w:[!8 ++89)%-b$]0%X+K.++$]h !42j/P m #Hw$&.,'E N!')R0-/+89!~}*88!8c!cT%( !+-/')KS:h2) !: +W!%%(')*8 !89$]!'')KZ0%%('),&)+*890)6!')K+E%8.,2A!REER');08R!* 0" >+!,.-/0\T89!R!/ 0 03!: &!88'0)J%L0~o:[8$ a (N,*0+>*88*2I$&!)Xf *; W8'0)6! +v c8*:[*8c%L0~VP "!88'0)J!:"!''Q c9 v%(2'+>R)6!I!{+$]0+&!: &$&!)J*88!89Io 89!R!>,)8)c:[!8!''!')R0-/+89!~]').*0) .?P 0#A A%L0~c ):[Y08,*+*89$],&c ZM 68.4O/-b,$]! M[ 9 S#0%%8p$]0+')Kon52!'a+v o 5M 276 O/-b,$]!VO934 *K{*!S7L8$&@6!,}2RNN%( !+&$2'))%(')KT XM 68.4O/-b,$]!_Mh P !P)3; }M 6 Oc,$]! != @- + %( !+T$2'))%(')KO9PzH>:[+*8= T%( !+T$2'))%(')K 08K&+++89!)R += >%8$]Y%L0%%('),43! >82')RE,0ZY%L'088$]0%%L,]!,]6!*89+ s289)*8;+89!+:[!89$&,=+cR)6!# I$]0R!W+$]0+]Mh!+# 0; WU(89+%8$]%L7L$&; #+*8 !: N$]0R!N!cJ+n521!: 1%L0~}++89!)R +Ro%( !+1$2'))%(') +*' ;0889089 h %jA:[!8c$&!8 ,*!' O9P1 ]+'))}!, %8.RN!:;b+K. *E0%L*828I$&%8@6!$&:h!+!8>8'0)6!E+NG.HIG1+K.++$]*P +W!%%(')*8]%(089!$&*+*81+$]0)y!81!2+!:[.*2=!')R!!89) $]& 01,)6.,N o!')R0-/+89!~ ,0 2% +

KO

( ! $

27(0%L*828#!,S2+&!88'0)S+9 n52I:[!8I%(089!$&*+*8Z+$]0){ #UV!'4$]0R!Z+%L+892$l!>]$&%(')#6!'2)v!8W$2'))%('*0)4P

o+Z!2+!:[.*2Z!')R!!89) $]I$]0~!] =!2$&%)J 0E =!')R0-/+89!~{*88!8Z*! 7L&$&.,''),S!E

-b,$&)!'?:h2)SJ TM 68.4O/-b,$] !S!8I oM 6 .OW,$]!43L!8Z$]'089')Kv!E1],$&)!' :h2)zX }5M 27683O/-b,$]! !8& }M5276 O/-b,$]!4PX c!2$&%)z'$])Z T0%%('*0)}!:EG.HWu !2+!:[.*2I%8.,28W+JG.HIGV34 @!+; 0a,2+W "!2$&%) $]!,W,289RI W,*6!')!%($&!:4 Y+$&!R!890%( >$&.,' 0 7('2889RW:h2)=5f ^6(gh5f , &:[!8!9 08R!*=X T$]0R!!PXdCz NR!*89!'' 9*, +%L!')R c$&.,!3!8]z!Kz++89)%-b$]0% 0%%('*0)43Y &c! 1*!+!Pv ]-b,$&)!'Y028]!:A m #H$]R}Mh$&!)VOW*88!8$&.,'!'')@E =!')R!!89) $ +Jp.%(')) *%%0[k @,?K}j M6* *; P{H-b,$&)!'*88!8Z+$] 0+vE!7!,}:[8$ *6!*8K}'&!:> :h2)v7(!+,To Z!8892%+,T89!R!- +W!%%(')*8>+$]0+ 5M 276 gO aM O 5M 276 O9P %!9 o!:Y + +$]0+08= X$Z7(,S+{$&%8@6!] ]UV!'Y*88!8Z+$]0+!PT I%8.,28]Z,*6!')!%L,}S p.>+)4P !!

!!

"

!

&

QP

(+*

2B%#% &)(

!

WR2%L*8%L))43 08R!*?U(', M527683OV*!E7L$&.,''),I!?''))I!:.%L408R!*?!:58 ()6.)bK #

!

!!

_

!!

M527683Oga

!

]

M52 2 683 3 O

'

M5L5P (O

KO

L : A

Z2!8892%+,T$]0R!+$]0+ M527683O ,F\L89!)o'$])+,v6!*89)T!: Z08R!*>U(',4PAd R!89R ,F\L89!)v'$])RZ\L>:[!8 Z$&$&*3 E!8892%+,T$]0R!E+$]0+E7L$& 5M 27683?O a ] 5M 2 2 O (5M 3 3 O M5L5P "@O !!

!!

!

'

#%( !+IR!89!,)>!2+!:[.*2ZM m #HIOA!')R!!89) $%8.*,!:['')@?_ 0PdC{ &08R!* M527683O93? ++8R!+I08R!*08] ):[+,{+T ]+*8Z!:" =$]0R!!3? P !P)3 )8 3 ):[A08E8$&@6!,4P ;R)6! E ):[+,v$]0+89Fp ] 5M 2 2 O (5M 3 3 O ] 5M 2 2 O (5M 3O 5M 276835O a 5M L5P O

!!

!

!

'

5P> ,Q!:V A89!R!!,]!')R0-/+89!~&!$&%(') Z5M 276 O/-b,$]!&0!$&%(') +%(!*RA!:M 6 `O9P + ([i M*;@0f 6(g!:4 >%( !+*88!8"o5M L5P !O*!=7L>,*+*89$],]]J`p$2$ $?)~!' 5.,c++ ! h 7 53(% "!M72j h 2jLa 08R h 76 %j h 76 2j 6 5M L5P &!O !

*8 >08R(M OY!%L*890+!8",*+*89$]Y >%( !+A!:^)08R2$&*P !89)R!'.6!*89)&!: m #H 2+, ]')R ')K1,F\L*8A%( !+I+$]0)v!%L*890) h "jHh 03(% ML'&Kj/P P0#W W%( !+>R!89!,)+$]0+I!7!,=:[!8;!''V!')R0-/+89!~=)8 0%L*828I%( !+I*88!8>,*+*89$],N75KN+*R!890RoMh2$]$]R5O h 2j^60!'2? _ h 2jLa h j/x h ('j ( 5M L5P 7O !5P> &%( !+c+$]0+] S !E!K{'08#+8,S!,{0\4+*E8$&@6!,S+T%8*6!E$]0R!] ):[RN!, );2%(!$&%('),=+=!v E!$& E 52$Z7L*8;!:a!$&%(');!A ,$&)=!:Q I89!R!- +W!%%(')*8 $]0+89FpN8*%8+R 5M 276 ?O a 5M 27683O aP L5P> v%( !+N*88!8=c8$&@6!,y:[8$ v!89)R!'IM[!8]%8*6.)2 OZ$]0R!v+$]0+T75Kz$2'))%(')K.RT 89!R!- +W!%%(')*8W$]0R!I+$]0+E) v E$&%(')pv 2R0+Z!:Q Z$&!28,v%( !+I*88!83 5M 276 gO ap.% M O 5M 276 O 5M L5P 4O

'

!

!!

!

!

'

KO

L : A

1*,3@ $%G>, "I='@ ,3 *%&(1.N"!)-,3)-.3

H>%L*828I')R! $ G5%L!')R A08&89!,2 $ u>!R!E+=+%L!')R A+*8 $ G.)R!'L>!>08Kv:[!8> Z!%L*890)T!: m #HZ3( Z!89)R!'4!')R0-/+89!~T+89!~o$&!)T*88!8 :h2)v*!T7L#+$]0+,T:[8$l I%( !+I+$]0+Z6. 5M .4O 0 . M5L5P (O

'

P> E+08R&%L;:[!8 Zp.)+*890)TA v E*< $]0R!E+$]0+ER)6!v75K 5M 27683?O a M5276 O M5L5P @O "6!*8R!>!:L W!')R!!89) $*!]7L,*+*89$],&75Kc+*+RZE+')*89!] >uBSGc%( !+A*88!8+ 7L8@6!*8,43.!8"Z$]$2$_,@< ' 9* 0"$2+7LA8!9 ,4P K5%(*!'')K >!')R!!89) $ 6!*8R! @- )&)+*890)*P &

!!

# ?" C*:?

$ #% %*:+*6)1@B /*:?

!

! 35#@&)B (&!.-+!.&7*

'

! &)(+*9$ 1@ B 8+)* #%$

as )R28 L5P ]!,Ssa)RPZL5P v @< v+%L!')R W08R!*EU(',{$2'0+,J) { &%(089!$&*+*89E @S{ Q`7(')4L5P 0P +>%(089!$&*+*89Rj\Vj!gV0+:[Kc >+$&!R!890%( :[!89$2'0)=!,] #+K.++$ !"1M[8!+07(')K ')@+=' : ANOB: 8A &' ,3 @ "#$%)Z)+F,3 "#,3) : # 'A :+*..3='12,3)C9 K 0+*%&8*%@ =2,3 *%&S & @ *%&'$ ,.N('A :7A "#$%))+F,3 "#,3)4 ,3)-. ,3)-.N,3 *%&' *4 :A *..3='12,3 &'$I1'G)H: 9'G')C9#@ &')A K .3)++* 8)-.3)C9U1'G)H:*%@ 9 @ &')ANO $%&' ,3=92)g "#$%)+B.3)?@ &')C.B$.3)-/2C@ )%O

20 0

−20

−40

2 0

−2

−40

−60

−60 −50

MhO

0 range, x’ (m)

50

−50

M[7LO

0 range, x’ (m)

50

−4 −4

−2 0 2 wavenumber, kx (rad/m)

Mh@O

G') 4 @ =2.3) *4 G) .N%92 )+&>, 2= ,3*46*>+=' : ANO': 8A &' ,3 @' "#$%)L)+F,3 "#,3) : # 'A>:6,3G').N" )+NG'*g9',N L +*..3='12,3)C9 ,3GE& @ *%&'$ ,.N(U,3 "! &'$H)-..3*.& : A CA :7A,N.3$%)-, )+@ 9Z4 ,3)-. ,3)-.N,3 *%&'B*4 :A *,3 *%&E)-..3*.BC@ )C9 ,3* L&8)+&K='"I7)-.D)-..3*.L1'G) KO )%O : A K: A : 9' G')C9!@ &')A KD.3)++* 8)-.3)C9!1'G)I:*%@ 9#@ &')ANO $%&' ,3=92) "#$%)+B.3)?@ &')C.B$.3)-/2C@ )%O

+89!~=$&!)&*88!8:h2)&W+''?o c!')R0-/+89!~J,)8)4PWsa)R28 L5P M[7LO>!, Mh@O> @ Z890+Z!:9 !R!!:Y %( !+Z+*89$r) v8+%L>+ .oR)6! E+!!*2 +W!%%(')*8!:a&08R!*? _ 5M 2 683 ?O a M52 0 5M O3 M5.43 O .4O 5M L5P ")O 0 3 0 . *8&)EI!2$&,S 0 5M 2 0 O 5M 3 .4O 0 `3Q P !P)3? &08R!*').*0)I08=$]!''a8'0)6!&+ E+!,0\S89!R!!P J0%%8p$]0+J-/ +0-/S8'0) )%y8'0R} {0%L*828J,$&) .+X J E+=%8.,2 ]j 0[k &'!ghf j !:Z {08R!*v%( !+{*88!8N:h2) { P !P)3W *8S1! p.+89 %( !+v$&.,2'0)}+*89$ p.M% h (M 3 0 @O 3 j>X v+%(0!'A,$]!M[ v!89)RX!:> c+*89$ cR)6! ]5M L5P ")O9O9Pa 4$&.,2'0)W+*89$ *,4+>7LY8$&@6!,ZI +%(0!',$]!I%89)!84+>!K#%( !+Y+$]0) z v+$]0+*!T7L ++!8,TT]*2$2'0)6!I7(!A!,T*!v7LE0%%('),1+= =j * 'f !f &,0]+*!9 T$&!P 4 ]j 0f V+% m #H_!')R!!89) $ @]]sa)RP L5P M[7LOY!,oMh@O9P"G. @R# 0*3.0')!+:[!8 ap!$&%(')!3 I$&.,FU(,=!')R!!89) $,5"%8.,2W!v!**2890+\ ]j!ghf j ]*88!8;+$]0+!P $&.,FU(, m #H !')R!!89) $ I+''Q7(!+,{S ]088@< 7(!,, 43L088@< + W!89)R!' ,0{+**3 0c)c,58*%8.,2!3YZ U *; c'f M*;!ghf j ,9j *-*%%,2g %T,0.P =:[!89$2'0)}!: m ;Hl %8++,So W+)434 ')E &p.#+)S,*2+> * *8W c89!R!&$])R!890)J!88+, ,0 *!T7LE2+,v! E+08R]%L;!:a]')@N E)!'($]0R!I+$]0+!P" +#08R!*>08I v,@!: c%(2'+$&%8+,J08R!*EJsa)R*P L5P )MhO#!, Mh@O93^) =, TR)6!J75KT 89!R!8+'2)XM[:[!8I=+892%LC-b')~!E08R!* O9PId : aBL]08R!*Eosa)RP L5P )Mh@O 0W 6! +%(289)2a%L0~.) *8;,!:^ 0"$]K!3.!8;$]K=!*3.7L W+892>08R!*;%L0~oMh+*W:[!8"p!$&%(')Wsa)R0P L5P )Mh@O !, sa)R8P L5P (Mh@O+O9Pv 52*3? =)!'a$]0R!]+$]0+1I!ZTR!5., *!,,0+]:[!8E%( !+]8*+89)*60!' P= *8 08WbEbK5%(*!'')KS!$&%(')=0cT890+1 0

'

u 60

y 60

40

40

20

20

0

0

-20

-20

-40

-40

-60

-60 -20

hM O0

20 ct’/2

u 60

y 60

40

40

20

20

0

0

-20

-20

-40

-40

-60

-60 -20

hM @0O

20 ct’/2

-20

[M 7L0O

20

x’

-20

hM ,V0O

20

x’

G')5) )+-,3*4 L+/E*%&EG' $%G &..3*& 7)C" 9K,3G0F,.3 1 "#1 "#$%)++OH: 8AB L+/ +*..3='12,3)C9 1'='@ )5+*%" 12.3)+)C9 9',N :7A L+/Z+*..3='12,3)C9( "#$%)?)+F,3 "#,3) :AL L+/(4 .3)+)?1'='@ )?+*%"!12.3)+)C9Z9',N : 9A L+/(4 .3)+)? "#$%)?)+F,3 "#,3)%O )+) 7'@ ) KO 46*.B,3G')F/2F,3)+" 1.N"!)-,3)-.3 &9U,3G')M,3)-JK,L46*.B"!*.3)?92)-,N @ +O

KO

L B

@6!*89!$&%(')] o52''F-/+0-b52''3+W!%%(')*8]7(!,, X%8.,2,z75KX o$]!''A8!'0%L*828T*0889), 75Kz !)89890:[*Pz N9 },0 %82$]$&,X 8*%)z+ 8,2N +W!%%(')*8&7(!,, }+S vp.+ 8n52)8,Z+I$]0R!; +%L!')R ?%(09 4P ?%82$]$]R!%L*890)c!:[+c8,2Q +W!%%(')*8a7(!,, +}')& !y v- (.P *#, 9w, z!:# o0%L*828v:h2) cM .O93A T o+%L+892$ &:h!)89')KX2):[!89$ !,z N%( !+N+$]0+=08T+07(')!Pz Z%(08*2'08&!+%L&!:W +W!%%(')*8&+%L+892$ $]Kz0%%L08&+ 7LN'$])+,}+ +%L!')R &+K.++$]&!')!3" @ E%( !+E8*+89)*60!'?!')R!!89) $w!'+= !+1!*2>:[!8> Z+%(0!'?9 )8%v%( !+E!:Y 08R!**P E:h!W 0W $]0R)2,E:h2)o2+,o m ;H ,289Rc %( !+E+$]0)J++*%{n52)60!') + ! *; 1 c'f M*;!ghf j ,9j *-*%%,2g %#%(2'+W$&%8+,1,0.3"!N$&%L!8!!7(+*8600)=:[!8A')@ N89!R!v8+%L+1c!&,*89)7(')=X v!8892%+,z,0.P 0W:[+z')K}$&089R !')R0-/+89!~XE!7(+*86!,Mh+*Nsa)R$P L5P MhO!,}sa)R(P L5P )M[7LO+O9&P 0 X,!'RT) }')@08Z!+*o sa)RMP L5P !W,*0+? 05M L5P ) @OQR!5.,c+K.++$$&.,'5!,!c!')+*890)6!;$&.,'5*,Q+W7L;,*6!')!%L,4P

+ ! + iT & "[y-"

T R

&#! iT!SR

WH ''L!:Q Z!2+!:[.*2A%8.,28A,89)7L,NN A9 0%+*8>08E7(!+,vv E!2$&%)N 0A Z$&!) *88!8;@6!$Z7L*83 44P ;+K.++$_,3G')-,3 1)-.,3=2.3)Z*%&.CO G')(,3*& G # 7'@ ='&>,!&'*%)C9 &'*%)Z,3*& )C9 &')+=2,.N@ @ / 7'='*C/K&>,B92)+ $%& O )+ $%G>,B &E . (K$2O G'),3*& G G'*%=')+ ,3G'),.N&'"! ,B1*& )-.M"!1'@ )-.3" H..N+/Z*4 *%&'1' @ ;?12.3* F)+-,3*. )+@ )+"!)+&>,3:6,3G')M7'@ (H.3)+-,N&'$%@ )*%&U,3G')B 92)*4,3G')B,3*& GA 5..N+/U*4 G>/'9K.3*%1'G'*%&')B)+@ )+"!)+&>,3:6,3G')B3=.3)(8)+)+@ AK@ *& &'*% )H.3)++)+ 8)-.512.3) "!1 &907'='*C/K&'-/E"#,3)-.3 @O $%&@ ?,3* &9E4 .3*%"d,3G')I,3*& GW.3)#&@ *%$2O &')#9K.3 8)-.3g)+&'=2.3)#UG' $%G +*%"!"!*%&U"!*K92)M.3) F)+-,3 *%&Z.N,3 *! &U,3G')?&@ *%$! $%&@ +O $% ,N@+*%& 8)-.3 *%& &9UF,3*.N$%)? B1)-.46*.3"!)C9(, ,3G')=2.4+)%O

mm

450

m

aluminium

27mm

19mm

mild steel

8 2mm PZT buttons copper shims -

450 m

+ 21mm

16mm

8mm 3mm

&')H*4 ,3G')' 92)!7&9 9K,3G *%&'1' @ ;H,.N&' 92='+)-.3(,3G,Z"#(8)E='1 ,3G')012.3* F)+-,3*.0..N+/>O G')0+)+&>,.N@ 9K.3 K &'$0F,N( H+*%&'F,.3='-,3)C9 *4B,3G')U1' )+;+*>)+@ )+-,.3 +)-.N"! @ )C%9 ;+ .3+*%&,3) ,3 ,N&,3)#: ' ANO

&')0*45,3G') .3)-,.3*.3))+-,3*.3 =')C9 C@ 72.N,3 *%&W,N.3$%)-,CO G')#.3)-,.3*.3))+-,3*.! I7'='*C/K&>,I&9W H& NG'*.3)C9b,3* ,3G')SG.37*%=2. *>*. 92=2.3 &'$,3)+F,3 &'$2O G') ,N. $%)-, *8,30E ,E *.3 )+&>,3)C9i &i,3G' E1'G'*,3* g &i,3G') .N & C,3NG' &'$ "!*K92)W:G' $%G')+F,U,N.3$%)-,ZF,.3)+&'$,3GANO G') .3)-,.3*.3) )+-,3*. +*%&'F,.3='-,3)C9I4 .3*%" ,3G2.3)+) &>,3)-.3@ *>(K &'$?3=.3)+ ,3G 92)+ *4 @ )+&'$,3G "!"ZO

>O

g

$

I!7[+)6!!:a ; A ?%('' 9E,)RT%%L,F*p 9WP ?&$]$]' 9* $&9 !*!'>2%('R{7L*b ) )I0889K&!:4 >%()? 9*5')+89A%L')K.$&*8%L')K56.K.',;, (289,IM m .+#sO9P %!9 ]8)6!W')$&I%('0+!: &!0$]$ &!0$]$ !("(G]+*89) m .+#s M[ 8*W'K!*89!: !("(^$ ~ m .+#s !,9 ,J7L*b)R!' PY I!89)R1!:a A')R A!9 oA2~.@43 @89~V3 4'&!ih !ML2j/P

'

QP 'A*61@B

1435*67&)8+)*,! 3"1E&)1@B &7*

35#%)1@B )*:! 35#"! *

sa)R28 &P LMhOE# & *!8**!'+%(0!'F-/+$&%L!89!'a8+%L+TM[%LE+%8!,{:h2)VO>!:" ]8!'Y0%L*828 DE)F-CG.HIGJ+K.++$ Mh P !P)3a 1+%(0!'F-/+$&%L!89!'Y8+%L+=0:[+*8c%(2'+]$&%8)43Q7(2R* f j*E+o:[.*2R5O9P

K g

dB

Receive Level

Source Level

dB 160

$

140

-180 -190 -200 -210

120

MhO

20

30

3 50 f .10

40

20

M[7LO

30

.N&'"! ,,3)-.!*%=2.3+) @ )"8)+@ 1)-.U1'1'@ )C9 .3"! 8*%@ ,N$%)E&9W.3)++)+ 8)-.#.3)++)+ 8)Z@ )"8)+@O : 8A 89' M.3) " :6,3G')I9'i.N,3 *(*4L+*%='F,3 H12.3)+=2.3)I12.3*K92='+)C9E7>/Z,3G')5,.N&'392='+)-.?, &Z1'1'@ )C98*%@ ,N$%)g*4 A :7A )++)+ 8)-. %9' " .3) B:6,3G')g9' .N,3 *H*4 .3)++)+ 8)-. .3)+@ ,3 8),3* D46*.M)"8)-./ *4 12.3)+=2.3)%.3 ,3 *%& , " 4 .3*%" ,3G')M.3)++)+ 8)-.-ANO

3 50 f .10

40

.N&'"! ,,3)-. " .3)+@ ,3 8)I,3* U46*. 8*%@ ,N$%)g12.3*K92='+)C9#7>/!,3G')

sa)R28 &P LM[7LO!,{Mh@O @< > *!8**!'V89!R!W!,1!')R0-/+89!~=8+%L+!3 ] 2^+_>`ba !0*$ !, ^+_>`ia & M _>` a 4 O9P J!')R0-/+89!~y8+%L+J=,89)7L,z75K J$Z7(,0%L*828,9j*-*%6&'!g2% % 0!g 2g 6*-3a P !P)3? =+%(0!'Y8+%L+]S!')R0-/+89!~}E,2&+T = *8+*8:[*8]!:; ]$2'))%('*)bKT!: $&.9 8$]0I89!,0)N%(0++*89*PHW'+&%(')!++,vTsa)RP &P LMh@O; Z$&.9 8$]0#89!,0)N%(0++*89 :[!8W *0889)*8>:[8n52K!P 0#E!:Y !,60!0R!W!:Y Z,*7(!,43')@ - )'&`#, 9,')!7L>')*6!'"!:^ I!88'0+,SM[,>7(!,VOa7L!$ %(0++*89N08I)RFUV*!')K&')@H>%%L,F'p 9O9P

>O

g

5dB

$

spurious response

tank measurement

0dB -5dB received signal power plus directivity

-10dB -15dB 20

hM 30O

25

35

40

f . 103

G')H4 .3)C=')+&'-/ %./2 &'$(.3)+1*%&')!*4 ,3G')I,.N&'"! ,,3)-.5&90.3)++)+ 8)-.5..N+/! G')+& ,3G')H&'*%"! &@ %@ =')+?*4 &9 .3)Z.3)+"!* 8)C9 O )%O L,3G') $%=2.3)ZG'*& E: O 89'LA I: >O %9'LANO G') $%=2.3) @ *WG'*& !,3G')U.3)++)+ 8)C9 $%&@B1*& )-. 4 .3*%" & .3)CH*4 )C *>*.+@ =2,,3)-.B1'@ ='L,3G')g92 .3)+-,3 K ,Q/>O G' B $%&@G'*%='@ 9( 92)C@ @ /Z"#,3NGU,3G')M,N& (U"!)C=2.3)C9#.3)+1*%&')#: ,3G' & & ..3)+@ ") %&>,!* )-,-AG'*& )"8)-.& E1'=2.3 *%='I.3)+1*%&')( H)+)+&S &W,3G')#.3)++)+ 8)C9 1*& )-.! $%&@O .3)C=')+&'-/W92)+1)+&92)+&>,I"!)C92 ='" ,,3)+&K=,3 *%&(G 7)+)+&Z $%&'*.3)C9 O

0dB

-30dB

1

magnitude

-40dB

0.5

-60dB

0

0dB

asp 20 ect ang 0 le, θ ( -20 deg ree s)

-20

-10

0 10 range, x (cm)

M[7LO

20

20 -20

MhO

0 cm) e, x ( g n a r

-30dB

-60dB

-37dB

-30

-20 -10 0 10 20 aspect angle, θ (degrees)

Mh@O

30

1,3 @ ,3)+"!1*.N@ .3)+1*%&')(:1*% &>,12.3)C%9 46='&'-,3 *%&A *4D,3G') F/2F,3)+" :12.3 *.,3*#46*>+=' &'$>ANO!: 8AB1,3 @ ,3)+"!1*.N@ .3)+1*%&') :7A.N&'$%)g.3)+1*%&') K: A +" : "!"! &'$ )+ $%G>,3)C9Z &(.N&'$%)A :7AL&'$%='@ .M.3)+1*%&') : ANO G')I+*%G')-.3)+&>,g &>,3)-.46)-.3)+&'+)H*4,3G') 92)H7&9 9K,3G .N%92 ,3 *%& 1,,3)-.3&'12.3*K92='+)+gU1,3 @ .3)+1*%&') ,3G0 92)+@ *%7)+?, 9'BO G')+)I 92)+@ *%7)+?.3) #9'\@ & * )-.g,3G& ,3G')I 92)+@ *%7)+g &0#"!*%&'*>NG2.3*%"#,3 I1,,3)-.3&0&9 % 9'b@ *& )-. ,3G&U,3G')"!*%&'*>NG2.3*%"#,3 92)+@ *%7)+B*4D&Z..N+ / ,3G 5,.N&'"! ,,3)-.B&9#.3)++)+ 8)-.B*4 ,3G')3"!)g@ )+&'$,3G O

K g

$

QP #& " ', ! "[y R ( & ! &# #!)' & T '! ! #'" !SR5R

sa)R28 &P & @A+*6!*89!'L!:? #,$]!"!:Qc$2'0+,=08R!*AU(',10;60089)2;+0R!A!:? # 0> +%L+89!'?' %(089!'')'+ 5 +W!%%(')*88$&@6!,75KI G5+')Q$]0%%(RA!%L*890)4Pasa)R28 &P &.M[`OQ @? +$]0+#!7!,=:[8$ W` ] 3 ^ a )( [ .M XZYO a !0*$ (!*$vP G.$]'08LU(R28^+W +" @ZZsa)R"P &P &*!Z7LR!*890+,+>p.%('!I "%8.RA!%L*890)^!: 89!R!- +W!%%(')*8E!')R!!89) $v3V &9 )8%{*!'RN!')R!!89) $v34!,{+%(0!'F-/+$&%L!89!'Q,$]!o!8I:h!+C-b!88'0) 7(!+,N%8.+!89*PadC1 #89!R!- +W!%%(')*8A!')R!!89) $v3. I!%L*890)N1 ]M 6 5O/-b,$]!N%8.,2" ,++!8)]& M 6 .O/-b,$]!& 0"$]'08a+Z #G5+')$]0%%(RE!,]& >9 )8%=*!'RE!')R!!89) $v3 ;!$&IM 6 5O/-b,$]!c,++!8)ZQ+*c0:[+*8a ;0%%('*0)E!: ;9 )8%c*!'RW$2'))%(')*83 @M 68.4O9P dC }:h!+C-b!88'0)7(!+,%8.+!83!9 89!R!{'o1R!*890+, 75K 0%%(')K.R X:[8n52K ,$]! :[.*2R1UV')+*8I+v ]+%L+892$ !:;v7(').~o!:;,0v 0EI'08R!&2R S+T! &8n52)8,J2+%(2 89!R!I'W!,1 W89!R!I$])R!890)1!:?!K=08R!*= 0A%(08*2'0889!R!I'!PY >UV!'V$]0R!# 43. 7(2')?2%ccW89!R!;'75KE89!R!A'7(!*PQH @- + s289)*8a+89!+:[!89$ !:( UV!'5$]0R!;+$]0+;!7!, { E$]!*8E @E 0E ]0%%('*0){!:; ]89!R!&6008K.Rv:[.*2RN%(089!$&*+*89Z!'+v8$&@6!Z *2860028W] >%8.*3.80+AZ*286!,1+) !:Y,0]N I2R =!8" W+K.++$ )R ')Kcn52+,43 >\L;!:4 +#0%%8p$]0)*, +T7L]!88+,4P= &$&+E +$]0R!W08c$2'0+,o2R=DE)F-CG.HIG1%(089!$&*+*89*3 J!')R0-/+89!~ ,$&)y !]7L* !$&%('),y0 P H>:[+*818$]0%%(RS o!A+]8,2 #$]0R!#,K.!$]A89!R!!!+# 0; 8,2!'%( !+W:h2)= !"$]$]!'$&%(!@6!*8A #+89!' 8*R) !:A `-b,$&){!:A ]@6!*8E 9 o c9 )8%S*!'R1!,J89!R! +W!%%(')*8#!')R!!89) $] 08N0%%('*07(')TM[*RPJ+*=% ^7"! ;0889089.3 44"! h %jhO9PJ vG.u +*89$ $&%(')@K!,X p.+,,X9 )8%}*!'R M %3GO^:[!8Y0%%('*0)Z+E )R ')KEn52+,+K.++$]Ya,*+*89$],c2RW# )R *8a!89,*8a%L')K.$]!'h )ML53 " ('j/P d :A =8,2!'a%( !+=:h2) 08K!P"G5E Wn52+) *,A+]7LE!+~!,4x KN2+G.u 0>!''4!>)A!89$]!'')KT WW!:"')+')+*8+I! ')Kc #$&.,2'2a!8;+)bK&!:4 W$]0R!#,+%('K!,]7(2): K>:[!89$ !:^!2+!:[.*2""*,,]+c!88 :[!8;0%L*828>*88!89!8;$&,2$ 287(2')!3 %( !+W89)*!' * *8!**2890+Z )R A+$]0)4PYd A$&%L!8!A17L! v!2+!:[.*2>!,N7(0 K.$&*+89I0%%('*0)"+] 6! =8,2!'Q%( !+]*88!89Z,2&+o 1$]0R!]:[!89$]0)}!')R!!89) $ !Z$]!''!E%L)7(')&!,}!cG.u E ,*+*89$]+>%( !+E!88)43(')+')EA')+A75Kv!88R&:[!8>),289Rc$]0R!E:[!89$]0)4P

,-" '&

RgT

')(

N,17(!,, }!R!- +W!%%(')*8) oG.u (.P 44 -% )0,#9 0P ("( - '(!,#9 ; )8%v*!'Rc) 2WG.u (.P 4 -% 0,#9 (.P 44 - )0,#9 ; )8%v*!'Rc) oG.u 0P ("( -% )0,#9 0P ("( - '(!,#9 0 6!52$Z7L*8 0P ("( -% )0,#9 0P ("( - )0,#9 s!+C-b!88'0) 0P ("( -% )0,#9 0P ("( - )0,#9 m 0~-/+0-b,')!7LE890)3($]`p$2$60!'2I:[!889!R!E!8>!')R0-/+89!~ #

= >!$&W6!'2$&!:^,0.x @*:!.&)

1E&)#

+1

#+* ?"

*:"! #+1@B )1@+%*,

R 14 +

? v+K.++$]0*!'')KJ*!')7890+c ]DE)F-CG.HIGT+K.++$ )#:h2)N!:]R')I+89!,2*8')$&> @+N *!8**!'Q89!R!8+'2)T!: !0*$v3L W!2$&%) 8 2+FU(,4P H>:[+*8# %828E !#2,*8R!+%( *89*!'^+%8!,R]2W+N Z08R!*E0 )"!5P 70$v3V%(08!:a Z)R!'^*0++*8,o7(!~v+@*0++*8,N!,=0++520+,N%828A89!R! !: *$l:[8$l E8)6!*8W;8*:[*88,v+=!A S %,i.j &G M6&AM % $aOIMhv#, 98 m *$1O *8 % $ a G ${- 0 $ WG M &P O #n520) *!S7L],*8,{+v7L&:[8n52K{,*%L,*34!8Z!')+*890)6!')K{$]!'a%(089!$&*+*89E*! 7LE2+,4P I-/$&%8+,16!*89)=!:^ W8)6!,v)R!'(" @N=sa)R28 &P (M[7LO9P #'08R!+"%L0~]!: I 8*E%(2'+; 45P 40#, 98 P #WRc E:[!89$2'0Ev Q07(') &P 53 E+$]0+,T08R!*W++8R! T WG a 9#, 9 -#M/G $S- 0 $ E _dCs Bu $aO M &P 7O a ! 0#, 9 *8# I+89!$])1');YQ07L2a A08R!*a*!'*2'0+, ! (.P ",P >!$&>+$&%L!89!'(!$&%(')& >89< ,0ZK.)', (.P ,P. >89< ,0Z)R!'( !')R ')Kc$&!8 *8R!KX,21$]!')K{+{ v8C-/!')~})R!' P C>{:h!+!8&!:bMhs8$lsa)RP &P (M[7LO )W>!756.)2> 0W Z*8R!KT+$]0+:[!8W %(2'+Z$&%8+,J,01!'+N*'2,A c+*(5!8#*'2++*8 07L2A E08R!*W').*0)VO9P dC{2$]$]08K!3V +$]0+,J08R!*E++8R! J!:Y- !5P 0#, 9,F\L*89:[8$t %8,+,J')*6!'Q!: 0P #, 9_,2 +o! 2~.@{+289=!,S!I%8.RN*88!89*P& ]$&+E')~!')Ko*!2+]!:" ]$&!28, ,F\L*8& %L5!808R!*&!89)0)43!8&!')+*890)6!')K!3 Z%(08*2'08Z08R!*N[i cJ')@DE)F-CG.HIGZ+K.++$vPYs8$ sa)RP &P (M[7LO93 N$&!28,}%(2'+=$&%8+,X8C-/!')~}')*6!'" ;f a '&P #, 9WPad :A 1+89!$])++*8c!, 8)6!*8I,3G') NG' .31#@ )+&'$,3G "!">,3G') .3)+1)-,3 ,3 *%&U1)-.3 *K9 "!"2&9H,3G')BNG' .31 7&9 9K,3G ( ;%O * "!"! &'$ )+ $%G>,3 &'$H B1'1'@ )C9( &U.N&'$%)!:6,3G')%9'92 ,3 *%&Z*4 "!"! &'$ )+ $%G>,3 &'$#92 9#&'*,B "!12.3* 8) ,3G') )+F,3 "#,3)ANO

>O

g

B K

*%"! &@' "I='@ ,3)C9 '&9U"!)C=2.3)C9U $%&@@ )"8)+@ 4 .3*%" 5.3)-,.3*.3))+-,3*.,M?.N&'$%)?*4 >O "ZO

, *)7L' +K.$Z7L' @:[!89$2' H>%%('),16!')0R! !#, 9 ?89!$]);%828 *$ G$a5 0#, 9 L(.P ,#9 u)6!E%828 *$ % $ aG $4- 0 $ # WG G.28:h!E!$&%^PY2+%(2A6!')0R! C#, 9#a.% $ #Bu $ A m 2'+I$&%8+,v6!')0R! 9#, 9#a5 C#, 9 WdCs KY Mh*')%%L,N)R!'[O

$]!' $2'0+,

ML5P 4 M75P L0,#9 ML5P 4 M75P L0,#9 5P `7 ~ m 7 40,#9 5P 7`~ m 7 40,#9 5P L m M5 7 P 0,#9 5P L 5 P 0 L # , 9 4"!5P & )M5 L P L0,#9 "P ) 45P 40#, 9 7 &P ' )"!5P 0 7 ,#9

#&

#&

$&!28,

G$ uB$ E _dCs P ,?*+j Cg & S!g g26k!ghf jNA 43 ;H a M/G $ Bu $ E _dCs O ?; M &P "@O a &(!#, 9 *8*:[!8> W89!,0)=%(0++*89"!:^ W+89!$])++*8;!,=8)6!*83!,= W!89)0)1!:^ W8)6!*8 z N+@- 40#, 9W3 ')N%8.R{')K X a K.)',, {08R!*1++8R! +$]0+o!:>- !0#, 9WP 82')]:[8$ {$]!'')*8=%8.+, 7(!,, 1*')+J+X 01+$]0+,%(28')Kz:[8$ 89!R!J$]0RRP =!89)R !: N,+%(089)bKJ7L*b+08+Z 08R!**3.+E 08R!*;++8R! &+$]0+>!7!,&:[8$ 8,2, %8.Rc7(!,, 1$&!8E!**2890+!P

K g

u

y

10

10

5

5

0

0

-5

-5

-10

-10 -2

-1

MhO0

1

2

-2

ct’/2

M[7LO

-1

0

1

$

2

x’

/2&>,3G')-,3 ?1)-.,3=2.3)?12.3*>+)+ &'$U*4H.3)-,.3*.3))+-,3*.@ *>C,3)C9E,gH.N&'$%)5*4 >O "ZO5: 8A ='@ )5+*%"!12.3)+)C9Z $%&@ &9 :7AM "#$%)!)+F,3 "#,3)!*%72,N &')C904 .3*%" "!"! &'$ )+ $%G>,3)C9 8)-.3 *%& *4L,3G')'L&8)+&K='"I7)-.?92*%"# & )+F,3 "#,3)%O(*,3G "#$%)+ .3)+12.3)+)+&>,57(KC,,3)-.I-.3*% )+-,3 *%& O )%O ,3G') $%=2.3)+5.3) C: # A &9 : # 'A : # 'A OZ*,3GW "#$%)+I.3)#@ &')C. $.3)-/2C@ )%O

WH Z ]b8*+8!8 (+!8A=sa)RP &P "0P > -b')~! 0%LN!:# T 2JMh$&+')KO;'08>'!*2P 0 o!o6!*89+Zs289)*8+89!+:[!89$ I%L*8:[!89$&,{ =!')R0-/+89!~ ,$&){:[!8Z!y[k e 'f 0i52g %]+$]0+!3a ='!+,S8+%L+]''0%(+ +1b 0 *!2+] =%L0~{+J+%(')E08=2%%8+,S!,}oR')&%L0~{:[!89$]*PN ='!Rv\L!:; =*88!8+* vsa)RP &P Mh@O$]'08;+= *; Z*Pd $&+>')~!')KN*!2+, 75K1'0+*89!'L+@!89)R]!:^ "$&!)435 #!2+!:[.*2RZ!:^ ,0Z6.Z%8$]%L%8.R0-/bK5%LW!2+!:[.*2 !')R!!89) $ 8$&@6!Y ;89!R!A'!Y!,%8.,2? ;%( !+>!:^sa)RP &P M[: O$]'08Y+ 0"!:4 W$2'0+, 08R!**P

&

14)%*/&!.&7)*:+@&)(

*:!.&)

1E&)# 1@"?>%*6#

*/&7 0 )*:! #B 8 &)#

#%$ &)(+* 1@8 &7#%$ # 0/8"! *:?

?+1E&71

H $&%(089+1!:?sa)RP &P )MhO"+]sa)RP&P )M[7LO; @" 0A!;')K] !;!2+!:[.*2A$&%8@6!,1 #R!*$&*+89 8+'2)J!:" ]$]0R!!3Q)I !E$&%8@6!,{ &+$]0+]!:" ]*0++*89RT8C-b+)M[7L! S$]0R!E08 !89$]!''9*,1+] I+$]0+,T8C-b+)v!:Ysa)RP&P )M[7LO+O9P"sa)R28 &P (MhOA!,}M[7LO"08E$]0R!I+$]0+ :[!89$&,:[8$WC,3)C9Z,M5.N&'$%)?*4 >O "ZO

u>!R!E8+'2)43 ] 2^+_>` HW')R0-/+89!~v8*P)3 ] 3 ^+_>` u>!R! m G $?u HW')R0-/+89!~ m G $?u Q08R!*W++8R! 43( WG Q08R!*W8C-b+)43

2)

Cd )!'L$]0R!E+$]0+ WH 2+!:[.*2+,T$]0R!I+$]0+ &!7!,T:[8$ IO

L K

ky

ky

20

20

10

10

0

0

-10

-10

-20

-20

-3

-2

-1

MhO0

1

2

3

x

ky

ky

20

20

10

10

0

0

-10

-10

-20 -3

-2

-1

Mh@O

0

2

3

x

ky

ky 20

10

10

0

0

-10

-10

-20

-20

-2

-1

M[`0O

-50

[M 7L0O

50

100 kx

-100

-50

hM ,V0O

50

100 kx

-100

-50

[M : 0O

50

100 kx

-20 1

20

-3

-100

1

2

3

x

=2,3*46*>+=' &'$ K !12.3*%"! &')+&>,B1*% &>,M12.3*>+)+ &'$U*4 H.3)-,.3*.3))+-,3*.@ *>C,3)C90,H.N&'$%) >O "ZO &'$%) *%1'1'@ )-. & 9 L& 8)+&K='"I7)-.B92*%"# &Z)+F,3 "#,3)+L46*. : 8AL&9 :7ALH "I='@ ,3)C9U,N.3$%)-,& :AL&9 : 9A46*.M,3G')g &' ,3 @ "#$%)g)+F,3 "#,3) &9 :)A &9(:64NA46*.D,3G')L "#$%) )+F,3 "#,3) 4 ,3)-. =2,3*46*>+='+O G') .N&'$%) *%1'1'@ )-. "#$%)+.3) @ &')C.$.3)-/2C@ ) 2&95,3G') L&8)+&K='"I7)-. "#$%)+ G'&* \,3G')1'G)g*4 ,3G')g $%&@*%&ZI@ &')C.M$.3)-/2C@ )%O G')g+)+&' ) *.3 $% &Z@ )+B,M5.N&'$%)g*4 >O " 4 .3*%" ,3G'),3&* G(1,3G O

K g

$

1

magnitude

0.8 0.6 0.4 0.2 0 1

1

0

alo

ng−

0.5

trac

k, y

−1

(m )

0 −2

MhO

, range

−0.5

)

x’ (m

1

magnitude

0.8 0.6 0.4 0.2 0 1

1

0

alo

ng−

0.5

trac

k, y

−1

(m )

0 −2

M[7LO

−0.5

, x’ (

range

m)

/2&>,3G')-,3 ?1)-.,3=2.3)? "#$%)?)+F,3 "#,3)++Og: 8A &' ,3 @ "#$%)?)+F,3 "#,3) :7A "#$%)?)+F,3 "#,3)?4 ,3)-.g=2,3*46*>+=' &'$2O * )+ $%G>,3 &'$L51'1'@ )C90,3*U,3G') L&8)+&K='"I7)-.g92*%"# & O )+*%"!)-,.3 !&9 C,,3)-.3 &'$Z1.N"!)-,3)-.35.3)!G'*& & & 7'@ ) >O KO(*,3G "#$%)+B.3)?&'*.3"#@ ;+)C9#,3*I,3G')-.3*% )+-,3 *%&E*4L:7AM:)+) 7'@ ) >O 8ANO

>O

L K

1

magnitude

0.8 0.6 0.4 0.2 0 1 1

0

alo

ng− tr

ack ,y

0.5 −1

(m

0 −2

)

MhO

m)

, x’ (

range

−0.5

1

magnitude

0.8 0.6 0.4 0.2 0 1

alo

1

0

ng− tr

ack ,y

0.5 −1

(m

)

0 −2

M[7LO

−0.5

m)

, x’ (

range

/2&>,3G')-,3 Z1)-.,3=2.3)Z "#$%) )+F,3 "#,3)++O : 8AI &' ,3 @M "#$%) )+F,3 "#,3) g:7A5 "#$%) )+F,3 "#,3) 4 ,3)-.Z=2,3*46*>+=' &'$2O ! " ! " ' & $ + ) % $ > G ,3 &'$L 1'1'@ )C9I,3*,3G') L&8)+&K='"I7)-.D92*%"# & O )+*%"!)-,.3 B&9HC,,3)-.3 &'$?1.N"!)-,3)-.3.3) G'*& &# & 7'@ ) >O KO *,3G( "#$%)+M.3)g&'*.3"#@ ;+)C9U,3*5,3G')g-.3*% )+-,3 *%& *4L:7AM:)+) 7'@ ) >O 8ANO

8

K g

$

/2F,3)+" &9(&'*%"! &@ *%1)-.N,3 &'$!1.N"!)-,3)-.3 46*.B,3G') ( '&9#,3G') )C3, O

m 089!$&*+*8 G5K.$Z7L' #W) ED )F-CG.HIG BH "d + !G.H5od G5!0 ^ 0 6!%8!%(0R0)o+%L*, [ $ ` ! ( ^ ! ' ( ) ( ' ( m '0+:[!89$w+%L*, $ ` (.P 0- (.P 4 -%0P L & '("( ^ ^ ;0889)*8A:[8n52K !9 )( ( 7 ( )' ( ;0889)*8AY (.P ('! (.P ( )")' ( $&-/7(!,, =%8.,2 >Y+XZY ("("( ( L )( " %Y\L)6!0%L*828I')R! $ (.P ) 5P ( (.P & 9"!$Z, T0 ,*R!8* 45P ! !5P 0P ^+_>`

W899R=!R') ,*R!8* ! )(`- !( 7( G5!,0\{89!R! 0 $ !(`-% ("( ("(`-("( 7"!( ( ^ W82,.-/%('!#8+'2) ] 2 ^+_>` ] 3 ^+_>` $ ( ('! ( ( ( L "! "! CW2$Z7L*8!:a')5!~.

'

'

!

'

!

'

'

'

'

t w t E & w& > I !#%8++,{ ]$&%(')*+c,.-/+0-/, $2'0)43L,*6!')!%($&*3?$&%(')$&0){!,S*!'F7890)T!: Z,Z7(!,, 43')@0%%('*0)*P #6!+)R0){%LW2I 0E+,08KJ89!R!]$&%8)yM/G.u O

K K

Z08K *6!z}2n52+,SR!*$&*+89) N+%(0!'7(!,, E2+, 75KS N+K.++$ 7L$& '08R!!P #2+W!:Q2FU(,=$]0 $]0*!'4!0)v!,= #p.%('*)+0+$&!:?!K19 !R!#!:?6008907(') 6.&$]0%%(R!%L*890+!89!+1 Z*')08%8+0)v!:Q E60!'07(')#%8.R&!')R!!89) $]A!,N )8 ,)8$&%(')$&0)N6.&,)R)!'L%8.RP I E !Z!'+o8!+, ]q1*)K{!:A =9 )8%}*!'RT!')R!!89) $vP1 U @, ,-6&G6*;!2g %N9 )8% *!'R{!')R!!89) $|')*R!]} 0&)c$]$]' 9*E N%8.Ro@6!*89 !, 8n52)8,}+{:[.*2c+K. * 0%L*828Z,0.3VK!*W Z ')!')R!!89) $w+>!:$&%(')I$2'))%(')A!,os289)*8W+89!+:[!89$w!%L*890)*3 7L! }!: 9 }081!')KS$&%(')$&+, XR!*89!'%(28%L+= 089, 6!,*!'4*0889)*8 `+*8W:[8n52*)*Pd :Q A8n52)8$&A!>!, *8,v+3 #R!&c!')R0-/+89!~&!$&%('RWQ%L)7(')!/P 0 &.,Y) Zn52)60!')Y*0889)*8Y:[8n52*)a08A2+,43! ,K.!$]Y89!R!!: UV!'$]0R!+$]0+"?'$])+,#75K# "8C-b!88'0)Z%8!%L*8)4!:. +89!$])++, .,,%(2'+*/P 0 ,"7(!,, IR!89!,)"!2+!:[.*2#M m #HIO $&.,FU(,]%( !+>R!89!,)"!2+!:[.*2;0%%('*07(')A+c')@J+K. *=0%L*828N$]0R!1+J N$]0R!1%8.,2, :[8$| N,-b')5!~.Ro+08''Y$&%( !' 9*1 $]0R!E*'089)bKN60!'07(')Ev]+K. *I0%L*828E$]0R!!P E,*6!')!%($&>!:Y!2+!:[.*2>!')R!!89) $]A:[!8W')@6!+)R0)4P" E%( !+ 8*+89)*60!'!')R!!89) $]Z!:AdC+*89 *1g &Ih & 45?3 7('jA08N80R{J+)8} vG.HWul$]$2)bK !,X 2',S7L 6!+)R0+,T:[!8 )80%%('*0)N+NG.HIGVP

9 2R R

!W089,+=0CU(,v:[!8>%89!*!'^+@R=+%L*,*Ps!8Wp!$&%(')!3( ("(!$t+@8.;7C),23(GO7C)D1E+6)!23(+6]/(

¡¢x£¤¥¦¤(§©¨ª§©«¦¬®¢°¯±¥²¢¨³²´±µ¢x£¶«?§©³£¤X¢x£¸·?¤X£

¹ 8/?>6'C&T&(º&(c-C8/%&E'4)D/2'»>@3()D'S [ ¼ w!/]\;>F½(iz`.Q(¾_¿ À

[ { [ | j H À KMÃÄi²LON f Æ .` ¾ u /]\;>F½Eiz`!¿ ¾ i ¾ u Ài`.¾ Ã [ sÂÁ s2Å s s Å }ÈÇ u ]/ \;>ºP `(É?Kl¾ NYW p ),793(7»M&EG,GD&X ½ iz`.Q(¾ ¿ À KMÃÄi²LON } /]\;> ½ iz`.Q(¾ ¿ À KMÃxi²LON i`.¾ L eEL s Á s2Å s Á s Å

K$ UEN {

K$ N

"!#$ % '&(!#

{

¹ 8/A>@863(70/3(+655/2'4)D:B3B-C)D:(/79&($K$ N93B'C/(S [

bcKMLON } *i Q(¾_¿ À KMÃxiLON [ i®¾ L b k KMLON } (Q ¾OKMÃxs i²Á LON is ¾ ¿ À KMÃÄi²LON b k k KMLON } i s Á Q(¾TÀ s s P À KMÃÄi²LON W*) sÂÁ s qts , &EGD:;),+1b k KMLONzM&('=-C8/70-C3B-C)D&E+63B'C>H&E),+.-v1E)D:(/72S [ L m } ÃÄi { ¾ À [ ¿ ¾ i¾ s s , '.@70-C)D-C-C),+1Ä-C86),7/.@3(10F),+.-0&bcKMLONz1E)D:(/7»-C8/A>@863(70/A&(c-C8/A-0'43(+670M&('4±3(72S [ [ { [ É?Kl¾ N 2ÈbcKML m N } i ¿ ¾ i¾ u Ài¾ Ã s s @863(70/A-0/2'4±&E+F-C85/ 476 , &(ÄK$ UEN]

K$ +EN

K$ -EN K$ 3(N

¹ 8/]&E>@GD/]\F3(>@G,)D-C65/*6+6]-C)D&E+),7v1E)D:(/+8.T(S `.QBj Ç } ~ @b k klKMLHmN p { RBj_¾ À [ } ~ `@K ¾ is ¾ N ) f Æ jH`.¾À s s qts

K$ REN

@),+1$-C8/*'43(+1(/N: O*&(>6>@GD/2'=&;5/GH-C863B-=),79670/53(79-C8/L.@3(7C),7v&(c-C8/486)D'C>7C23(G,),+13(GD1(&('4)D-C86F %&('-C8/F-0'43(+67C),7C7C)D&E+®&(?3Py%Q '43B-0/SR"TFK67UWVo7aNÄ6'4),3B-0/9.@3(70/ .@3(+65F'C/2-C'4+M'C&E±3>H&E),+.-v-C3B'C1(/2-*3B-»'43(+1(/ÀyS@),7v1E)D:(/+8.T²PQ-OQ(RXWYS T

L 0 À2i»L n! 'C/]-#" i sT%$ À T s Á L s & s Á s K$ VEN Q | u /]\;>('c`Ej R"T=g i ¿ À L n=s*)®u /]\;>xwºiz`.Q(¾EJ ¿ À L s Á s sÂÁ s H&E),+.-9),793B m

1E)D:;),+1x-C8/A-0'43(+670M&('4>@863(70/3(72S

} QBj

+.-

R"T

Á

Q ¿ À

L

sÂÁ s

K$,(XN

{ + - iQ(¾%- ¿ À L É?K/+.-CN È 2 bcK m N } i K$,QEN j R"s T s Á s ¹ 8/A]&E>@GD/]\F]&E+670-C3(+.-*),+-C8/-0/>H&('43(GO%&E'4)D/2'»-0'43(+670M&('4±),7956/A-0&-C8/-0'43(+670M&('43B-C)D&E+&(c-C8/$486)D'C>_S ` K$,UEN Ç } Æ R"T p ¹ 8/?-0/>H&('43(GO-0'43(+670M&('4&($K$ VEN9),79-C8/+®PQ -TSaQ 3W { + ` . + { 0 K/+.-0LON } Æ K/+20À2i»LON u 'C/]-*g QBj R"T T n u /]\;>43viz` j R"s T i`.Q(¾ ¿ À L K$, N R"T u 1 sÂÁ s 5 @3(+656),+1-C8/?70/]&E+657 6T63B'C/='C&T&(-z-0/2'4 &(AK$, -ENÂ67C),+1Kt N } BQÂi BR$3(+6" 5 0(/2/2>@),+1$&E+6GD -0/2'47»>-0&¾ - @863(70/A6+6]-C)D&E+'C/ 6T6)D'C/5-0&5/2-0/2'4),+/ 0 K 4¾ Nz),7 { [ + { bcK/+.-4N } i j R"s T i ¿ ¾ i¾ u À +.- s s Á K$,VEN fi { j + R"-s T i²Àg Q+cJ Q+. - +c+ J -s i +cJ + -s n +.- ) Á Á Á { À Q +cJaÀ À QoÀ } + - gOi j R"T i +cJ +cJ ) n +.-»g i n i s Á Á ¹ 8/?/]\;>@3(+67C)D&E+F]&E+.-C3(),+/5@863(70/?6+6]-C)D&E+OSOK$,REN]S6]&('C'C/70>H&E+6567z-0&3 6T63(5'43B-C),?3B>6>6'C&\),3B-C)D&E+ -0&-C8/ , -0&EGD-=3B>6>@),+1x&( -C8/@G,),23B-C)D&E+&(c-C86),79/]\;>@3(+67C)D&ES + .T-C8/'43(+1(/ >@3B'43(/2-0/2'ÀÈ/2:(/+.-C63(G,GD >6'C&;566]/7-C8/'43(+1(/5/2>H/+65/+.-70/]&E+6563B'C '43(+1(/]&E>6'C/7C7C)D&E+-0/2'4F t+ , 4

'& !; * !

#

70;70-0/7/>@GD&X;),+1®86)D1E8 76T6),+.-2S9&('F),+ 23(70/7H/+65/+6]/©&(-C8/ , 4-0/2'4 H. /]&E/7 7C)D1E+6)!23(+.-2S386)D1E8/2'9&('45/2'»/]\;>@3(+67C)D&E+F),79+/]/7C7C3B'C²P U-TSa( SaQ(RXW ¹ 8/A70-C3B-C)D&E+63B'C>H&E),+.-v&(c-C8/>@863(70/A6+6]-C)D&E+F),+²K$,VEN]S6)l /(DS!b k K/+ -m N } S@),72S ½ i T K$ Q N } Q s T ½Å p Á p Å 70&-C863B-»-C8/'43(+1(/N: O*&(>6>@GD/2'»>@863(70/),7v1E)D:(/+©3(72S É?K N 2ÈbcK/+ -m N QoÀ i Q+cJaÀ g i } { u K$ Q;XN n s T ½

{ [ p [ Á Q p Å [ j R X l K ¾ 0 Ê O À N i l K ¾ 0 Ê O À N i ¾ ® i ¾ À J } u 6s u s s [ @3(]/$),791E)D:(/8 + .TP( SaQ-yQ(RXW [ À XKl¾ Ê0ÀON } Æ vi ½ K$ Q(QEN [ s

Å } ÀcP s Kl

¾ NYW Á 6>@GD/2' H/+65/+.486)D'C>F'43B-0/$),7v1E)D:(/S + .TP( SaQ 3.SaQ(RXW [ { [ RXKl¾ Ê0ÀON } K$ Q N WR"T i R'&MT2Kl¾ Ê0ÀON H/+65/+.-9486)D'C>F-0/2'4FS [ [ RBjHÀ { ¾ [ R'&MT2Kl¾ Ê0ÀON } K$ Q+EN u K ¾ J is ¾ N ) s ),7º]&E>H/+67C3B-0/5x56'4),+19>6'C&;]/7C7C),+71 .T( 4B )EBa$0B+ *+s ,4 -=! a4alBs K qt, s 4»NÂP( SYQ(RXWY/.=&(-0/v-C863B-º-C86),7y'43(+1(/ 56),70-0&('C-C)D&E+),7*+&(-A36+6]-C)D&E+©&(Â-C8/% Q '43B-0 / 0*'43B-C8/2'SO)D-?),7?36+6]-C)D&E+©&(Â-C8/x1(/2&E/2-0'C(@ 4=3(+1(/56),70-0&('C-C)D&E+ + -m

##

"!#$ % '&(!#

),7*356)D'C/]-*]&E+670/6T/+6]/x&E+6GDF&( -C8/xG,3(10&( &('C[ -C8&(1(&E+63(G,)D- S.H/2- 6>@G,)D/7*-0&©3(+.M&('4°&(z'43(+1(/&;566G,3B-C)D&E+OSO+&($C670-9-0" & Py% Q PQ(RXWY [ ¹ 8/3(>@G,)D-C65/*6+6]-C)D&E+67v&( 0 K 4¾ Nv3B'C/$+&X< /2:B3(G,63B-0/5O *7C),+1S b k k K/+ -m N } i*Q g { j R"T +cJ À i +cJ À n K$ Q-EN ) Á 1E)D:(/72S

iz`.QBj f ~ R"` T K$ Q 3(N Ç ) } BQ j u $Q ½ i T T

p Á Å 8¹ /?;KlQBjyNº),7_M'C&E-C8/v5/]!+6)D-C)D&E+A&(@3(+x),+.:(/2'470/v%&E'4)D/2'º-0'43(+670M&('4 H/&(z-C8/'C/]-oK u N?),+K$, +EN]S -C8/$70-C3B-C)D&E+63B'C>H&E),+.-»),793B>6>6'C&\),3B-0/53(72S [ i Kl¾ Ê0ÀON + -m f T K$ Q(REN s s p 4=3(+/2K 7»'43(+1(N/ : O*&(>6>@GD/2'=7C)D1E+63(GO),79-C8/+F1E)D:(/+3(72S [ [ [ jHÀ - " i sT XT Kl¾ Ê0ÀON & 0 K 4¾ N f Æ `.¾EJ u1 Kl¾ N u 'C/]# [ [ Q K$ Q(VEN u /]\;> ' `Ej RoKl¾ Ê0ÀON u i XKl¾ Ê0ÀON s ) { [ /u ]\;4> 3viz` ¾ J i®¾ u À s s 5 6>6'C&\),3B-0/GD©-0& ¿ jHÀ ;KD`.¾EJoN4 5/]&E+.:(&EG,-C)D&E+&(>H/2'43B-C)D&E+ 56'4),+1Ä>6'C&;]/7C7C),+1),+F-C8/AM'C/ 6T/+6]5&E3(),+F23(+©]&('C'C/]-»M&('=-C86),793B>6>6'C&\),3B-C)D&E+O

¦¬®¢¬®¤X£·

IG»¤o¨ED C

IG9D§£¤o¦¬´

¹ 8/M&EG,GD&X@863(70/Ä6GD-C)D>@G,)D/7*'C/6T6)D'C/5I.T-C8/486)D'C>®7C23(G,),+13(GD1(&('4)D-C86F ¹ 8/70/ >@863(70/Ä6GD-C)D>@G,)D/7z3B'C/$5/2:(/GD&(>H/567C),+1x-C8/A'43(+1(/N: O*&(>6>@GD/2'=>H&E),+.-v-C3B'C1(/2-*&;5/GO5/2:(/GD&(>H/53 .H&X:(/(

!W *

c

¦

#

! #" #$

¹ 8/z@'470-c70-0/2>&(!-C8/»486)D'C>7C23(G,),+1A3(GD1(&('4)D-C86 ),7c-0&A-0'43(+670M&('4 -C8/9'43@863(70/6+6]-C)D&E+²@G,)D/I !(]]$0B+ *+]S&%XJB ¹ 8/A-C),/GD&;2679&(º-C8/'C/2M/2'C/+6]/'43(+1(/),+-C8/'43(+1(N/ : O*&(>6>@GD/2'=5&E3(),+F),72S [ Q [ %XJ P XKl¾ NYW K$ U N J(Kl¾ N } u u Á + .T²PQ(RXW ¹ 8/?'C/ 6T6)D'C/5F486)D'C>7C23(G,),+1Ä6GD-C)D>@G,)D/2'z),79-C8/+F1E)D:(/8 [ [ [ [ | b ' K 4¾ N } /]\;> w `Ej RoKl¾ (Ê %XJXN XKl¾ N P i J(Kl¾ NYW K$ U;XN u u [ s 6-0/29' 37C8&X6>6'C&\),3B-C)D&E+ &(c),+&('»]&E+670/ 6T/+6]/( [ Q6GD-C)D>@G,),23B-C)D&E+Ä&(O-C8/='43(+1(N/ : O*&(>6>@GD/2'v563B-CL 3 .Tb ' K 4¾ N 23(670/7z3$7C3(G,GlS O*&(>6>@GD/2'Â@863(70/70-0'46]-C'C/_ ¹ 86),75/2M&('43B-C)D&E+®7C86)DM-C7-C8/>@863(70/ ]/+.-0/2'47K .@-+&(--C8/©/+.:(/GD&(>H/7aNx&(A3(G,G»-C8/'43(+1(/486)D'C>@77C648 -C863B--C8/23(G,G9M&EG,GD&X< -C8/7C3(/'C/2M/2'C/+6]/ 2'C:B3B-C'C/A-0'4%3 $0/]-0&('C²PQ(RX'W 0 [ [ Q P À %XJ u XKl¾ NYW K$ U(QEN Kl¾ N } u Á c > ¦ -.« /0! &1"2 34/. ¹ 8/A486)D'C>7C23(GD/5'43(+1(/N: O*&(>6>@GD/2'=7C)D1E+63(GHM&('»-C8/>H&E),+.-v-C3B'C1(/2-*),7v1E)D:(/+S.T(S [ [ [ K$ U(UEN 576 K 4¾ N } b ' K 4¾ N u 0 K 4¾ N p p -C8/$-0/>H&('43(Gy%&E'4)D/2'=-0'43(+670M&('4±&( -C86),7=563B-C3; ¹ 8/ ¹ 8/>6'4),+62)D>@GD/*&( 70-C3B-C)D&E+63B'CF>@863(70/$),7=670/5-0&>H/2'CM&('4 3B>6>6'C&(>6'4),3B-0/?-C),/5/2>H/+65/+.-v>@863(70/A6+6]-C)D&E+),72S [ [ [ [ [ bcK N } j RXKl¾ Ê(%XJXN u g i Q ÀcP XKl¾ NYW n s j RXKl¾ Ê(%XJXN XKl¾ Nvg i Q %XJ(P XKl¾ NYW n s i,+.- [ [ Á Á Á { } ^Xj { RXKl¾ Ê(%X[ JXN]P XKl¾ NYWl[ d u [ K $ U N Ái 3 j RXKl¾ (Ê %XJXN] ÁP XKl¾ NYWrP À s %XJ XKl¾ NYW +.- u { [ [ [ Á Á Á 5 j 3 RXKl¾ (Ê %XJXN]P XKl¾ NYW P À % J XKl¾ NYW s s Á s 5 Á s Á

#

"!#$ % '&(!#

H&E),+.-v&(ÄK$ U N9),7v1E)D:(/S [ [ +.[ Q K$ U+EN m } P À %XJ XKl¾ NYW QBj RXKl¾ Ê(%XJXN]P XKl¾ NYW Á Á { 7C' .@70-C)D-C-C),+1Ä-C86),;7 .@3(1 0F),+.-0&©K$ U Nv1E)D:(/7»-C8/>@863(70/A&(º-C8/-0'43(+670M&('4FÁS É?K/+.-4N2

bcK m N

[

[

[

T RXKl¾ Ê(%X{ JN]P [ Kl¾ NYWrP À %XJ [ XKl¾ NYW .+ - } i { j RXÁKl¾ Ê(%XJX[ N]P Á XKl¾ NYW [ Á s [ j { RXKl¾ [ Ê(%XJXN]P [ XKl¾ NYW PÁÀ [ % J XKl¾ NYW s s Á s Á j s RXKl¾ Ê(%XJXN XÁ l K ¾ ] N P XKl¾ NYWrKMÀi %XJXN } s Á Á {s i j RXKl¾ [ Ê(%XJX+ N]-s P XKl¾ [ NYW [ Q Á i +.-2P À %XJ XKl¾ NYW Á

K$ U-EN

¹ 8/A&X:(/2'43(G,G_- 3 iz` { ¾ Js i[ ¾ u À [ [ s 5 j K$ U 3(N > 3 ` RXKl¾ (Ê %XJXN XKl¾ N]P XKl¾ NYWrKMÀi %XJXN u /]\;4 s5 Á {s Á [ [ + - u /]\;>439iz` j RXKl¾ (Ê %XJXN]s P [ XKl¾ NYW 5 ÁNYWld /u ]\;>A^.iz`.Q(%¾ -P À %XJ XKl¾ Á Â3(48 &(-C8/>@863(70/©-0/2'47863(7356)D'C/]-),+.-0/2'C>6'C/2-C3B-C)D&E+OÊ?-C8/©@'470-- @863(70/6+6]-C)D&E+673B'C/-C8/3 U),Ä-C8 &;566G,3B-C)D&E+-0/2'472SE),+65/2>H/+65/+.-_&( +.-a ¹ 8/2$),+62G,65/ 3*>@3B'43(/2-0'4),z5/2>H/+6[ 5/+6]/Â&E+Ä'43(+1(/zÀ-C863B- ),7º3B-C48/5 ),+²-C8/'43(+1(N/ : O*&(>6>@GD/2'x5&E3(),+ .T-C8/-C86)D'45>@863(70/Ä6GD-C)D>@G,)D/2'A É ) K 4¾ N?-C863B-x),7$56),7C267C70/5²7C8&('C-CGD( ¹ 8/ -C86)D'45>@863(70/»-0/2'4F*S 6T63(5'43B-C),»),+ +.-aST),7 -C8/»/ H/]-C)D:(/?'43(+1(/=486)D'C>&;566G,3B-C)D&E+x6>@GD/2'=5/2>H/+65/+.-9486)D'C>F'43B-0/$&(º-C8/ 486)D'C>²7C23(G,),+1Ä6GD-C)D>@GD( ¹ 8/x/ H/]-C)D:(/486)D'C>'43B-0/),+-C8/M'C/ 6T/+6]5&E3(),+ K7 VW67UoN4Sº3 .H/x'CN/ :Y7C23(GD/5486)D'C>'4Á 3B-0/KM-C8/*@'470-Â-0/2'4Á NÂ3( +65-C8/*1(/2&E/2Á -0'4 ),*>@863(70/?56),70-0&('C-C)D&E+KM-C8/A70/]&E+65 -0/2'4N?3B'C/70/2>@3B'43 .@GD/3(+65²3(5656)D-C)D:(/( ¹ 8/&;566G,3B-C)D&E+),+-0/>H&('43(G M'C/ 6T/+6]-C863B-$),73B-C48/5 .T , 4),7 -C8/$70/]&E+65©-0/2'4F ¹ 8/M&E'C-C8>@863(70/-0/2'4±&(xK$ U 3(N]S!G,),+/3B'=),+ +.-aS!23B'C'4)D/7»-C8/Ä]&('C'C/]-*'43(+1(/$>H&E7C)D-C)D&E+À&( /3(487C23B-0-0/2'C/2'*3(796'C/7C7C)D&E+3(+655/]&E+.:(&EG,-C)D&E+&( -C8/AM'C/6T/+6]5/2>H/+65/+.-93(>@G,)D-C65/?-0/2'4±3B'C/>H/2'CM&('4/543_` j RoKl¾ (Ê %XJN]s P Kl¾ NYW u /]\;>A^]`.Q(¾%-(%XJ XKl¾ NCd 5 s Á ¹ 8/>@863(70/-0[/2'47Ä),+K$ U(VENÄ3B'C/-C8/]&E+ $C1E3B-0/7&(»-C8/>@863(70/-0/2'47x),+K$ U 3(N$-C863B-x3B'C/F5/2>H/+65/+.-$&E+6GD &E+ +.-?3(+65®¾ ¹ 8/x@'470-A>@863(70/3(]-0&('x3(486)D/2:(/7'43(+1(/M&;267KM>@6G,70/]&E>6'C/7C7C)D&E+!N*),+62G,656),+1 , 4* 4=3(+1(/ )D1('43B-C)D&E+F]&('C'C/]-C)D&E+),7v>H/2'CM&('4/ 5 .T-C8/70/]&E+65F>@863(70/A3(]-0&('S@3(+65F7C),+6]/)D-9]&('C'C/]-C7»-C8/5&E),+63(+.-v'43(+1(/ 2'C:B3B-C'C/$/ H/]-C7KM-C8/x486)D'C>7C23(G,),+1Ä6GD-C)D>@G,)D/2'=]&('C'C/]-0/53),+&('*3(&E6+.-*&( -C8/Ä2'C:B3B-C'C/oN4SO)D-*),7 0;+&XH/]-0'46-0&x3Ä7C),),G,3B'Â2'C:(/57C863B>H/=3(7z>6'C&;566]/5 .T-C8/ , -0&EGD3B>6>@),+1$&(>H/2'43B-0&('v&(y-C8/?@G,)D/53(]'C&E7C7»-C8/A>6'C&;]/7C7C),+1 .@3(+65@863(70/Â]&E{ >H/+67C3B-C)D&E+$&(3(G,GE'43(+1(/z&;566G,3B-C)D&E+OSX-C8/z),+.:(/2'470/Â-0/>H&('43(G.%&E'4)D/2'y-0'43(+670M&('4 &( -C8/=H&E),+.- -C3B'C1(/2-z6+6]-C)D&E+-0&x3$]&E>6'C/7C70/5 7C),+6?/+.:(/GD&(>H/3B-»-C8/$]&('C'C/]-»'43(+1(/>H&E7C)D-C)D&E+QoÀ S@GD/3:;),+1&E+6GD3 U),Ä-C8F>@863(70/A-0/2'472S [ [ jHÀ 'C/]-*g ¾ QoÀ C 7 , ) 6 +

g i K 4¾ N } Æ ¾EJu Hn u u n $ R"T { u p s [ u /]\;4> 3viz` { ¾ Js i[ ¾ u À [ [ s 5 j > 3 ` RXKl¾ (Ê %XJX[ N XKl¾ N]P XKl¾ NYWrKMÀi %XJN u /]\;4 { s5 Á Á s o Q À H j À ¾ K $ QEN } Æ ¾EJ u $ R"T u 'C/]-*g n u 7C),+6 u g i n { [ /u ]\;4> 3viz`{ g ¾ J i¾ iQ(¾EJ n u À [ [ s[ s 5 j u /]\;4> 3 ` RXKl¾ (Ê %XJXN XKl¾ N]P XKl¾ NYWrKMÀi %XJN s Á 5 /u ]\;>A^EizÁ `.Q(¾Es J2À_d

.=&X< -C863B-9-C8/A'C&X@GD/5.T'43(+1(/A)D1('43B-C)D&E+F]&('C'C/]-C)D&E+OSÀ©3(+65 BQx23(+8.H/

670/5),+.-0/2'44863(+1(/3 .@GD( ¹ 8/»G,3(70-ÂG,),+/9&(*K$ QEN 70>@G,)D-C7 >-C8/=3(GD&E+1 :Y-0'43(10&;566G,3B-C)D&E+x-0/2'4M'C&E-C8/=23B'C'4)D/2' KM'43(+1(/$&;566G,3B-C)D&E+!N -0/2'4F

!W *

#

c & !" /0 /0 ! / ¹ 8/?>@863(70/Ä6GD-C)D>@G,)D/2'v+/2/5/5F-0&]&E>@GD/2-0/A-C8/$3(GD1(&('4)D-C86),791E)D:(/+8.T(S { [ [ [ [ { [ É ) K 4¾ N } /]\;>43_`g ¾ J i¾ iQ(¾EJ nu À u /]\;>43viz` j RXKl¾ Ê(%XJN oKl¾ NHPD Kl¾ NYW;KMÀi %XJXN { s s 5 Á K$s 5 UEN s { { ¹ 8/AÄ6GD-C)D>@G,),23B-C)D&E+&($K$ QEN»3(+65®K$ UENv1E)D:(/72S [ [ {({ ¾

o Q À H j À 7C),+6 u g i nxu /]\;>ºKriz`.Q(¾EJ2ÀON K$ N ) K 4¾ N } Æ ¾EJu 'C/]-=g On u R"T u $ p s t+.:(/2'470/70>@3B-C),3(GO-0'43(+670M&('43B-C)D&E+F1E)D:(/79-C8/A!+63(Gl$ S .@3(+656G,),)D-0/5OS.>H&E),+.-9-C3B'C1(/2-=/70-C),3B-0/(S { { Q H j À

o Q À Æ C 7 , ) 6 + g L C 7 , ) 6 +

g i ] / ; \ º > r K z i . ` ( Q E ¾ 2 J O À N K $ +EN K 0 O L N ) } ¾EJ u $ R"T u u n u u n u p s s ¹ &Ä7C8&X@863(70/=-0/2'4 ),7Â3(7z/]\;>H/]-0/5OS;]&E+67C),5/2'z-C8/=M&EG,GD&X6'C&;566]-C)D&E+ &(A-C8/>@'.@G,),23B-C)D&E+ MQ6GD-C)D'C/70&E+63(+6]/5/7C)D1E+&($3 ¹ &E+>@),G U-0'43(+67C566]/2' 67C),+1-C8/%c),+6)D-0/ ÂGD//+.-LQ©/2-C8&;5 ;S.TIO?3:;),5 6*3< 0;),+673(+65 º/2-0/2' ¹ { *&E1E8OSc)D-3B>6>H/3B'C/5),+ ¹ '43(+67C3(]-C)D&E+679&E+ *GD-0'43(70&E+6),272S6%/2'C'C&T/GD/]-0'4),272S@3(+65F%'C/6T/+6] z&E+.-0'C&EGlS &EGl UTS.=& +TS , /2>6-0/5.H/2'$V(V-T

"!

&%

$#

# !W

#

! "

! ! 9$ 9 9 9

%

PaWx$ »H*563(72SÄ46*),+.-0&E+OS Q®H$ Py3H/2'C-C'C/ 70&E+63B'$),3B1(/>6'C&;]/7C7C),+170;70-0/F 4T] ]aM+*B) -(*(M+* B(!(]]]Sº>@3B1(/7 V!(UTS Q3B'448®V(V(UT

%

P QXWx$ »(*563(72SQ®($ Py3H/2'M: -C'C/ 70&E+63B'y>6'C&;]/7C7C),+1»70;70-0/Fv0( )BM+*B9B9#)EB HB!BºB)$X *.(lB6S UKlUEN 0, -(V!#3 -TS E6+/V(V -T { P UXWx Q t+6]&('C>H&('43B-0/5OS º Ä z&\ 3BV(VTS 3(G,GD/2%&('C1(/(S H°V R({ QT v' % *+ a 4{ 4 + - ] ).# )B04 );B + #).# )B0o]Y( -( ) oSºV(V(UTv=>6>@G,),23B-C)D&E+70>H/2)!23B-C)D&E+( :4 R(QK $% V 4»/2: »N4 { P W OÄ c*+.-C8&E+.(S * %z .$ z&X6'4),GcV(V;B

$!

#

P VXW OÄ vG,3(10;+/G,GlSc$º%'C/2/3(+OS ,

Synthetic perture Imaging lgorithmsB with application towide bandwidth sonar David W. Hawkins ...

Short Description

Description

Comments