1B24 Waves Optics and Acoustics Lecture 29 of 33 (UCL)

!#" $ &%' )( * +-, .0/ 13241 57698;:=<*>@?BAC:=<EDBFHGI6 ?J6K8H<ELNMO<PLHGIQ <P8H<ELPRIST<UGIV=FN<ELNW'<X?B6Y8H<ELZMO<ELH<P6=AE<[V\<P87S]<E<P6^87STG_V`<Ea'Q FER a'6cbd8;:c<^LH<PFHe=Df8;?B6=g@MOLN?J6=gI<PF_:=ahW'< a@FN?J6jikFHlYema'LN<Ebon=LNG'pmDB<'q 576oarFN<E6=FN<'R 8H:=?JFs?JF38;:=< a'Q n=DB?B8;ecb=<tikb=?BWu?JFN?JGI6o<PlYe=?BWva'DB<E6K8 G'M$wxGIec6=g=yzF FHDB?B8;F9MOGIL S{a WI<PDJ<P6=g'8;:|b=?fWu?JFH?BGI6}q~576 8H:=< b=?B `L;avAP8;?BGI6 gILHav8;?B6=g=R[:=GhST<tWI<PLER ST< MOGIec6=b 8;:mav8 Q)a'6K FNDJ?B8HF gKa WI< e=F Q ecAC: V\<P8N8;<ELULH<PFHGIDBec8;?BGI6}q :=< a'V=LN Ki7 <ELNG'8Xa'n=nma'LHav8;ecFX?J6cAELH<Ea'FH<PF*8H:=< LN<EFHG'DJec8H?JGI6 G'M&a'6 a'Q n=DB?B8;ecb=<Xb=?fWu?JFH?BGI6 FN uFZ8;<EQ VK a'DBDJGhS[?J6cg Q e=Df8;?JncDJ<$V\< a'Q F{8;G9?B6Y8H<ELZMO<ELH<vq :=<]Vma'FH?BA&?Jb=<EaU?BF#8HGXavDJDJGhS Q e=DB8H?Jn=DB< LH<t m<EAt8;?BGI6=F#S[?B8;:c?J6saU8H:=?J63pmDJQ b=?Ja'gIL;avQ q 5kM\8;:=< nc:ma'FH<[b=?f <PLH<P6=AE< V\<P87S]<E<P6^FHecAEAE<PFHFN?BWI<*LH<t m<EAt8;?JG'6=F&?JF YRYa'6=b9?BM 8H:=< LH<t m<EAt8;?JG'6 APGj<t )AP?J<P6Y8HF{av8x8;:c<XFHecLNM a'AP<EF a'LN<* sa'6cb^ RY8;L;av6=FHQ ?JFNFH?JG'6)APGj<t )AP?J<P6Y8HFT &a'6cb^ 7 RY8;:=< FNe=AEAP<EFHFN?BW'<_8;LHa'6=FNQ)?f8H8;<Pb pm<EDBb=F S[?JDJD`V`<) OFHe=n=ncLH<EFNFH?B6=g)8H:=< M a'AP8HGIL G'M E ¡ tR ¢ £¥¤ ¢U¦N 7 ¢ ¨§©¤ ¢U¦N ª v« ­¢ ¨®©¤ ¢U¦N ª v« §k ¯¬E° S[:=<PLH< S]< :ma WI< a'V=FNGILHV\<Ebo8;:c< AC:ma'6=gI< GvM*nc:ma'FH< MOLNGIQ±a FN?J6=g'DJ< nmavFHF;avgI< a'AELNGIFHF 8H:=< <P8;a'DJGI6o?B6K8;Gr8H:=< M a'AP8HGIL ¢[¦ qd²|:=<P6 S]< a'b=b a'DBDx8H:=<EFN< 8;GIgI<t8;:=<PL ST< :ma W'<@a gI<PGIQ <P8;LN?JA$FN<ELN?J<EFPR=pmLHFZ8*8H<ELNQ ¢[¦; 7 a'6cb APGIQ Q)GI6 LHav8;?BG v v« ¯S[:=?BAC: S]<sQ^a FNe=Q³GhWI<PLXavDJD n=av8;:=F[8;G9gI?fWI< ¢ #¤ ¢[¦; 7 ´ v « ¯¬c¶ ´[µ ·Gopm6=b|8;:=<¹¸»ºm¼7½tºc¾t¸»¼¡¿ S]< Q e=DB8H?Jn=Df À¢ VY Á?B8;F APGIQ n=DJ<  AEG'6 ÃNe=gKav8H< 8;G¹GIVc8;a'?J6 a'FHFNe=Q)?B6=g9 jRc Rc a'6cb 8;G9V\<3LH< avD» Ä ¤ ÄE¦ » 7 § ' « ¯¬ ´ Å v ¯´[µ » 7 7 ¨ Z§ ´[µ ¤ ÄE¦ ´]Æ O I § µ Ç APGIFh ' O 7 § ¤ ÄE¦ ´]Æ O I § µ Ç ÆÀÇ = ´[µ AEGIFh ¡ v È Ç'É i ´

» 7 § ¤ EÄ ¦ ]´ Æ O I § µ Ç Æ¹Ê FN?J6 § 'Ë Ç 7 § ´ FN?J6 § 'Ë E Ä * ¦ Ì ¤

\

Í

´[µ ´]ÆÏÎÑÔ £ « Ð7ÒkÒkÓzÓÕÒ ÒªÖB×PØ Ç 5k8[?BFUAPGI6KWI<P6=?J<P6Y8U8;G9b=<tpm6=<38;:=LN<E< M a'At8;GILNFER=8;G9FN?JQ n=DJ?fM» 8H:=< pm6ma'DÅLN<EFNe=DB8EÙ Ú ¤ Û ¤ ] Ü ¤ Ê Ú Ú3 § ° ´[µ Fabry-Perot Interferometer - Airy function S[:=<P6 S]<sA a'6 S[LH?f8;< Û 1 § ´ 6 § 'Ë I ( R , δÄ ) ¤ ÄE¦[Ý ^ Ú Þ

Ü H F B ? ´[4µ .R ´xÆ δ Ç 1

(1

R)

2

2

. sin

2

1 0.8 I ( .2 , δ )

0.6

I ( .5 , δ ) I ( .9 , δ ) 0.4 0.2

0

2

1.5

1

0.5

0

0.5

1

1.5

2

δ π

?BgIe=LN<3È ÇvÉ q ´ Ù :=<sWva'LN? av8H?JGI6 GvM 8;:c<sß*?JLZ MOe=6=At8;?JG'6 S[?f8;: 8;:=<3LN<P m<PAP8;?fWu?B87 AEGu<P i AP?J<E6K8*Ú R=n=DBG'8H8H<Eb a'FUa MOe=6=At8;?JG'6 GvM 8H:=<3n=:ma'FN<_FN:=?BM»8U Yq :=<38;<PLHQ ´ 6 § 'Ë d Ü N F J ? ´TÆ Ç È Ç'É i Ç

Fabry2.mcd

1

21/03/99 22:37

B? F_àY6=GhS[6 a'F_8H:=< áX¸»â ¿ ã äuº åt¼¡¸çæ ºmq ²d< A a'6 n=DJG'8s8;:c?JF_MOec6=AP8H?JGI6 a'F a MOec6=AP8H?JGI64GvM Ú ¤ ­ uRma'6=b 8;:=?BF ?JF b=G'6=<3?J6 pmgIecLH<sÈ Ç'É q ´ q :=<ELN<sa'LH<3n\< a'àYFUa'FUa MOe=6=AP8H?JGI6 G'M S[:=?BAC:@APGILHLN<EFNn`GI6cb 8HG FN?J6# 'Ë Ç ¤~è ° GIL ¤ Ç é=ê MOGIL ?B6K8;<Eg'<EL{Wva'DJec<EF[G'M é q ë*Gv8;< 8;:ma 8 8;:=<3n\< a'à^S[:c?JAC: GjAPAEe=LNFXav8 ¤ Ç é=ê S[:=<PLH< é ?JFUa'6@?J6K8;<PgI<EL[S[?JDBD}M a'DJD`8;G^:=a'DBM ?B8;F[n\< a'à Wva'DBe=<sav8$a Wva'DJec<_G'M uR` £¡ìk§ F;a IR gI?fWI<P6 VK £¡ìk§ ¤ Ç FN?J6 « £ ´ ËKí Üs &î Ç ËYí Ü MOGIL D a'LNgI<$Wva'DJec<EF G'M Ü :Ye=F[8;:=<3n\< a'àYFUgI<P8[FN:ma'LHn\<ELUa'F 8H:=<3LH<P =<EAP8H?JGI6 AEGu<P AP?J<E6K8HFXa'ncn=LHGKavAC:@e=6c?B87 Iq ï ð&ñ[òZó ôXõ&ö$÷=ø ùvú@û#÷mü&ýÁþNÿTýcû# ÷ tû#÷m ü Ïû}ýcû# ÷

:=< a'LHLHa'6=gI<PQ)<P6Y8 G'M{8H:=< a'V=LZ Yi7 <PLHG'8 ?J6K8;<PLNMO<ELNGIQ <P8;<PL OFH<P<^pmgIe=LN< È Ç'É q Ç e=FH<PF 87S]G9gID a'FNF{n=DJav8;<PFT8;G MOGILNQÏ8H:=< LH<t m<EAt8;?B6=g FHe=LZM a'AE<PFEqx :=< nma'?BLTG'M·nmavL;a'DBDJ<ED\n=DJav8;<PF{?JF AEa'DJDB<Eb a'6 <P8;a'DJG'6}q mGIL$g'GjGub n`<PLNMOGILNQ^av6=AE< S]<9LH<ElYe=?BLH<9a M a'?BLHDB @D avLHgI< »MO<PS Q)Q^ n=DJav8;< FH<En=a'L;av8H?JGI6 R}FH<t8 avAEAEecL;av8H<EDB rnma'LHa'DJDB<EDçR`a'6=b n=a'LN8HDB FN?JDfWI<ELN<Eb 8;G ?B6=AELN< a'FN< 8;:=< LN<P m<PAP8;?fWu?B87 I q XM»8;<P6 8H:=< GIec8;<PL9FHe=LZM a'AE<PF)G'MU8;:c< ncD av8H<EF a'LH< FNDJ?Jg':Y8HDB ST<Pb=gI<Pb}RT8;G LN<Eb=e=AP<_?B6K8;<ELN<PMO<PLH<E6cAE<_a'FUa9LN<EFNe=DB8[G'M LH<t m<EAt8;?BGI6 MOLNGIQ 8H:=<EFN<_FNe=LNM avAE<EFPq "!# %$& ' ($*)+ + , "! %$- '. /)+$&01 23

²|?f8;:oFH?BQ)?BD a'L3n=DJav8;<PFER& ¤ JR& ¤ 7 R]av6=bo8;:=< n=:=a'FH< b=?f <PLH<E6cAE< r?BF MOGIL DB?JgI:K8 nmavFHFH?B6=g 8;:=LNGIe=gI: 8;:c<sgIa'n av8Ua'6@a'6=gIDB<54 8;G 8;:=<36=G'LHQ)a'D}?JF ¤ Ç 6 ê Ç87 APGIFh 4I Æ Ç89 ¡È Ç'É q ´ S[:=<PLH< 9 avAEAEG'e=6K8;F MOGIL·a'6K 3n=:=a'FH<]AC:ma'6=gI<]GI6 LN<P m<PAP8H?JGI63i ?fMc8H:=<]Q ?JLNLHGILNF#a'LH<xAEGIav8;<Pb FNG a'F]8HG ?J6cAELH<Ea'FH<U8;:=<XLH<P =<EAP8H?JGI6^AEGu<P AE?B<E6K8;F 9 Q^a V\<XV\<P87S]<E<E6 è av6=b ê RjL;av8H:=<EL 8H:ma'6 V`<P?J6=g9< Â=avAP8;Df ê q È Ç'É i;:

etalon

Source

Collimating lens

Focusing lens Screen in focal plane

?BgIe=LH<$È ÇvÉ q Ç Ù :=< a'VcLN Kiª ·<ELHGv8[?J6K8;<PLNMO<ELNGIQ <P8;<PLEq ßXFs8;:=<)n=:ma'FN< FH:c?BM»8_b=<En\<E6=bcF GI6d8H:=< av6=gIDJ<<4jR·ST<^FH<E< åt¸»âCåtä =?>'â[ã ât¸»º @u½C¾tR·V=ec8 V\<EAEa'e=FH< G'M 8;:=<sMOGILHQ G'M 8;:=< ß*?JLZ MOe=6=AP8H?JGI6@8;:=<t S[?BDJD#V\< FH:=a'LHn\<ELX8H:ma'6r8H:=GIFN< ?J6 8H:=<_>@?JAC:=<PDJFNGI6@?B6K8;<ELZMO<ELNGIQ)<t8;<PLEq $& / !A , CBED FG %$

:=<[LN<EFHG'DBWu?J6=g n\GhST<PL&Q^a _V`<[?J6cAELH<Ea'FH<Pb9VY ?J6=APLH< avFH?J6cg$8;:=<[LH<t m<EAt8;?BGI69AEGu<P AE?B<E6K8 q :=?BF AEa'6oV`<^b=GI6=< VK dFH?BDBWI<PLH?B6=g=R GIL_VK 4a'ncn=LHGIncLH? a 8;<^bc?J<EDB<EAt8;LH?BA)DJa I<ELNF i]ÃNe=FZ8 a'F V=DBGjG'Q)?B6=g a DB<E6=F AEa'6¹LH<Ebce=AE< LH<t m<EAt8;?JG'6}R&FHG a'n=n=LNGIn=LN? av8H< AEGKa 8;?J6cg A a'6¹?J6cAELH<Ea'FH< LN<P m<PAP8;?fWu?B87 Iq :=< VmavFH?JA^AEGI6=FN?Jb=<PL;av8H?JGI6cF S[:=?JAC: a'ncn=DB 8;G 8H:=< b=<Pp=6=?B8H?JGI64GvMU8H:=< LN<EFHG'DBWu?J6=g n\GhST<PL3a'LH< 8H:=< FHa'Q)< a'FX8;:cGIFH< 8H:mav 8 HUa uDJ<E?BgI: e=FN<Eb ?J6r:=?JF$bc<Ppm6=?f8;?BGI6 G'M 8H:=< AELN?fi 8H<ELH?BGI6 MOGIL 8;:=< LH<PFHGIDBec8;?BGI6 G'MT87S]GrFNDJ?f8;FER#6mavQ)<PDB r8H:mav838;:c<)n\< a'àYFs:ma WI< 8;G V`< M a'L <P6=GIe=gI: a'n=a'LN83APGIQ)n=a'LH<Pb S[?f8;: 8;:c<E?JL*S[?Jbc8H:=F 8;:mav8 8H:=<ELN<9?JF a b=?BFHAE<PLH6=?BV=DJ< bc?Jn ?J6 ?B6Y8H<E6=FN?B87 sV\<P87S]<E<E6 8H:=<EQ £# :=?BF b=<tpm6=?f8;?JG'6_?BF 6=Gv8 FHec?B8CavV=DJ< MOGIL#8;:=<]n=LH<PFH<P6Y8 A a'FN<'RKa'F

Fabry1.mcd

1

21/03/99 22:36

IKJ"L5M,N-OQPSRUT,OWVYX M Z#V[T \^]_M1Ta`3MbN&O RYc&c&\^]dPaReMb]fVgL5VYXihCRkj \fOS]flgN%m TnP;ob]_MbOaob]fVgL M,NpReMqM,N&OQrsRet ]fr u&rvVYX VUL&Osc8OSRUwxT,N&VUu-\^yz\^]fOsVgLzVgo {pOS\fVeZEM,N-Os|-o1T M}r ]^L&]fr u&r~VYXiM,N&O VUM,N&OSo}lU]^ UO T R y ]^cz]^L ]^LgMbOaL-T,]fM j {pOaM Z#OSOaL MbN&OWc8OSRUw TAM,V[ / e % VYX MbN&O rsRYt ]^rWu-r[ n N&]^T+X VU\^\^VeZCTC{8OSPaRUu-T,O M,N&OQT OSc-RYo1ReMbO}]^LgMbOaL-T,]fM j c-ReM,M,OSo,L-T eRUo,j RgT ?T,]fL ? , e }ZAN&OaobO x & U T ]^L% / K`8RYL-y ]fX ZiO}T OaMAVUL&O c8OSRYw ReMAM,N-O cpVg]fL/M ZAN&OaobO *X VUo M,N-O VUM,N&OSoWMbN&O y ]^c ]^L ]^L/M,OSL-T ]fM j P;Vgo,obOST,cpVgL-y&T}M,V Y X VUo OSRUP1N cpO RYw3` lU]^ ]fL&lsRQo1ReM,]^VQVYX y ]fc[MbVQc8OSRUw ]^L/M,OaLpT ]fM j VYX( & k & Y g A / e % e J XCZiO wgOaOacGMbV M,N-]^TQP;ob]_MbOaob]fVgL%` RYL-y L-VYM,O M,N-RYM ]^L M,N&]dTQPaRUT,O M,N-O rsRet ]^rWu&r¡]^LgMbOaL-T,]fM jx]dT MbN&O

È Ç'É i Ê

S]<$b=G 6=Gv8{:ma WI<3ax¢E<ELNG ?J6)8;:=<$bc?B `L;a'At8;?JG'6^nmav8N8;<PLH6}q 576=FZ8;<Ea'b}RcS]<$e=FN< a b=<Pp=6=?B8H?JGI6 b=ec< 8;G ah uDBGILER S[:=?BAC:¹FN8Ca 8;<EF 8H:mav8 8H:=< n`<Ea'àYF9a'LH<^LH<EFNGIDBWva'VcDJ< ?fM 8;:=<P?JL FN<Enma'LHav8;< ?B6Y8H<E6=FN?B87 APe=LNW'<EFU?J6K8;<PLHFN<EAP8Xav8 8H:=<E?BL :ma'DBM ik?J6K8;<P6=FH?f87 ^n\GIFN?B8;?BGI6=FPq ë*<Ea' L 4 ¤~è R ¤ Ê'6 ê 7 ° a'6cb^b=?f <PLH<E6K8H? av8H?J6=g_a'6=b ecFH?J6cg_8;:c<Xb=<PLH?BWvav8H?BW'<Xa'F]a'6 avn=n=LHG Âj?JQ)av8H?JGI6 8;Gs8;:=<*L;av8H?JG G'M b=?f <PLH<E6cAE<EF bm Ê'Aê 7 ¤

î £ ¤ µ 6 § 6 ¶ b6 £ 5kM 8H:=< n\< a'àYF3a'LN< 8;G V\< FN<Enma'LHav8;<Pb}R 8H:=< b=?f <PLH<E6cAE< ?B6 )V\<P87S]<E<P6 8H:=< n\< a'àYF$APGILZi LN<EFHn\GI6=bc?J6=go8;G48H:=< b=?B `<ELN<E6K8 STahW'<EDB<E6=g'8H:=F Q e=FN8 V\< gILN< av8H<EL 8;:=a'6|b=GIe=V=DB< 8;:=< P;OSLgMbobRU\ ]fL/M,OSL-T,]_M j5VUX#VgL&O cpO RYw5c&\^u-T MbN&O ]fL/MbOaL-T,]_M jxVYX#M,N&O VYMbN&Oao c8OSRUw ReM MbN&O T,RUr OQc8VU]^L/MS` X Vgo cpO RYw TiM,V {8O o,O T Vg\f gOSy Z#O obOS¥/u&]^o,OnM ZiVQ eRU\fu&O T VYX ¦ `-§Q¦ RUc-RYo,MS` ZAN&]dP1N T,RYM,]dT X j

#© ¨ #© ªzT ]^L ¦ I ©<§Q¦U Y g

© #©«ªzT,]fL ¦ I ©<§Q¦U Y g , Y g #© ªGT ]^L , ?¦ A¬ §Q¦U U U , U U ­ ® u MCZ#O w L&VeZ M,N-RYM+ReM M,N&O c8OSRUw TA¦ I RYLpy ¦ RYobOqO RUP1N[OS¥/u-RU\3M,VsRQrWu&\fM,]^c&\^O VYX( e `-T,V Z#O N-Rk gO

#©

#©«ªGT,]fL §Q¦U Y g #© ªzT ]^L §Q¦U k¯ ° lU]^ ]fL&lp`3X VUo T,r RU\f\(§Q¦ ?O;t c-RUL-y ]^L&l T ]^L-TnM,V[|-o1T M Vgoby OSoS`3Vg{ MbRU]fL&]^L&l±RYL-yzT,VU\^ /]^L&l[R[¥/u-Rgy o1ReM,]dP}]^L ª}§Q¦Y K` ¯ §Q¦ ² ­ ³ ª ­ ´ VeZ ` X obVUr¶µ#¥/u-ReMb]fVgL[· Y¸& ^ U` e § ¹ § ¦ U PaVgTa ? g ¹ RYL-y ¦i]fMbT,Oa\fX ]dT%R \dRYoblUO rWu-\_Mb]fc&\^OU`1º ` VUX ¹ `eT VArsRUw/]^L&l MbN&O(obOSRUT,VULpRY{&\^O RUc&c&obVkt ]frsReMb]fVgLnVUX/L-OalU\^OSP;M,]^L&l M,N&O c-N-RUT,O P1N-RYL&lgO » P;VgrQcpRYobOSy ZA]_MbN Y º ` § ¹ §Q¦ ² ¹ e º ° ZAN&]dP1N lg]f gOSTARQo,O T Vg\f ]^L&lQcpVeZiOao ¹ ¯U % ³

ª § ¹p ¼ ½ ¾ ¯ U¹ ° ­ T ]^L-PaOiº3¹ ²¿ Y ­

È Ç'É ai À

:mavDBM ikS[?Bbc8;: a 8[:ma'DBM ik:=<E?BgI:K8 G'M < a'AC: n\< a'à R í Ê Ü¤Á Ê'6 êC§ 7 £ 6 ¶ :=?BF[gI?BW'<EFUa LH<EFNGIDBWu?B6=g9n`GhS]<EL § 6 £ 6 ;ÂAÃÅÄ ¤ Aê 6 7 í Ü ¶ ßÑLN< a'FNGI6ma'V=DB< AELN?B8;<PLH?BGI6 MOGIL{8;:=<3LN<EFHG'DBWu?J6=g n\GhST<PL*?BF 6 ê7í Ü ¶ A 6 ÂAÃÅÄ ¤ 6 £

mGIL <tÂca'Q n=DB<'R=?fM Ú ¤ è ¶ É R 7 ¤ ´ è Q)Q R 6 ¤ À èIè 6=Q RcS]<spm6cb 8H:mav8 Ü ¤ Ê<Æ è ¶ É § ¤ :3Ç è ° ´Uµ è ¶ É a'6cb 8H:=<E6 6 Ç Æ4´ è8È 6 ÂAÃÅÄ ¤ ´ ¶ G £ S[:=?BAC:d?BF FH?BgI6=?Bp=A a'6K8;Df DJa'LHgI<PLX8;:=a'6d?BF3a'AC:=?B<PWI<PbdS[?f8;: Q)GIFZ83b=?B `L;avAP8;?BGI6 gILHav8;?B6=gIF OLH<EAEa'DJDYGIecL n=LN<PWu?JG'e=F LN<EFHecDB8 MOG'L aUgIL;av8H?J6=gcR S[:=?BAC: :ma'b a*LH<PFHGIDfWu?J6=g*n`GhS]<EL GvM Ç èIèIè q É} 28 0 Ê +'+ 'v / )C$p23

ß*gKa'?J6 RYa'6)< Âu8;<E6cb=<Eb FNGIe=LHAP<*Q)a V\<*e=FN<Eb)V`<PA a'e=FN<*8H:=?JF&FN uFZ8;<EQ GIn\<ELHav8;<PF]VK a'Q i n=DB?B8He=b=< b=?fWj?BFH?BGI6 i 8H:=<UDJ?Jg':Y8 MOLNGIQ < avAC:^LH<PgI?JG'6)G'M`8;:=<UFHG'e=LHAP<X?JF&FNn=DJ?f8&e=n a'6cb)8;:Ye=F <Ea'AC:rLN<EgI?BGI6 AEGI6K8;LN?JV=ej8;<EF[FN<Enma'LHav8;<PDB 8HG 8H:=<3?J6K8;<PLNMO<PLH<E6cAE<snmav8H8H<ELN6}q] :c<_nma 8H8;<PLH6=F MOLNGIQ < avAC: LH<PgI?JGI6)a'LN<*?Bb=<E6K8;?BA a'D¡qq Ë]<EA ave=FH<XS]<$avLH<Ub=?BWu?Jbc?J6=g$8H:= < >8Ì[Í =¯¸»¼ ä Îu½tRKS]<Xb=G 6=Gv8{LH<PlYe=?JLN<XAEG':=<ELN<E6=AP< a'AELNGIFHF]8;:=<*FHGIe=LNAE<XMOG'L]8;:c<X<tÂu8H<E6=b=<Pb FHGIe=LNAE<X8HG n=LNGjbce=AE< a FZ8Ca'V=DB< nmav8N8;<ELN6}q S N&]^T#y ]fÏ8OSobT UOaobjW\^]fM M,\^OAX obVUrEM,N&O+o,O T u&\fM#y O y u-PaOSyQX obVUrÐVUu&o(]^L/M,OSo,c&obO;M1ReMb]fVgLQVUX3M,N&O+h+Rkj/\^Oa]^lUN P;ob]_MbOaob]fVgL%

È Ç'É ;i Ç