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D D D D D D B D E D $ D! D CD VP D D D E D E C D D B DDBD C D CB D D B A DC ND CR ^ D E D P E DD D EBPB ED A D DC D D AC B BD MD BQ D D D CE Q D B B O D D D D BQ BQ Q$ B C E D D C D A B D^ D $ D E A C R CE Q D E B V $ ^ A B BDD D E B D EMR A C B B D O D D BQ D D BDDPB D CB D ] DB QRD D D C ED BDD D B B D CB DAD RCD EB CEB$ D L RD E DE D D CE Q D D D D A M B B A ED D B B E DX $ D DED EBECC ^ D C D B B E D DC BDD D O C ED D E D $ E D ADD D D D D $ F D B D D B D^ D B DDBD EC AB M E B B ^ D B C D B ED B D BDD D O D D $ D AD B C A B BDD D D C D EMB D C$ D C C ED AD C ] DRC B QRD D B DB E B E A DC D C D CB D V $ ^ B D A BQ D EM X C WVWK E E DE D ERMD E D D M D B E D P AE D QRC D CB ED D EB CEB$ D ED B EB D D$ D D A D O D E D D!B ED B D BD DC D D DD D A E B E B B M E BQ BQ C E CD D B D B DDBD G/0-0>049 19./= =4> ] BQ M QRD D D E RD BDD$ MB EE BQC EC $ ^ D M A E A C ED ]AE Q$ EDE QRD D E D M D D D F B B ^ E B B C EQD C D CB D M D D C D A B LD^ EC BQ BQ BQ E E F A ^ M A BQ EC $ $ C EM E B D C D A ^ B $ MD A D M B CC D D ] P E D A E C E C ED BDD D B B E E "

D D E ;=/3G9 19 /93G9/3G9 ] EC BQ A B C D C B C CB C V $ ^ $E B CD CB B CC $ $ D B D CB D ^ D D^ X ^ M D^ D A ^ D D $ D B B $ E D ]D $ E BD QAD$ D D D B D C $ D $ C M CD O D M D E D E B $ ^ D D $ D AEBQ! O E E D BD M D^ B B A DB P$ E A C B B WVWK^ A E C D EBP$ D C E B D CB DAD RCD M D E BEC D M C PE C CE Q D G D ^ D D D CCD E DDED B C D P M D B DB D D CD D D C M D CE Q D B B [ E DAD B C E M Q$ M D D D MB D D EBD D M A E E M B C D CD B E D D C D CB EB $ B CEB$ O E E E D B E D B B E D $ D DR$ D B A ^ D $ CC M D B C M BQ BQ D CE Q D RD D B ED B B B B D E ED [ E D D D$ A BQ BQ B C D BQD C E B E E B D BQ $ VP^ EC BQ P E $ DC D M B CC D B BQD EBE D O D D BQ D X D B B E D $ D E C D D B B E D $ ^ $ M ^ D BDD D B B ^ D M D $ $ $ BQ D L X M L D DCC D EBP$ D C PB D DD D [D C PB D M D EB Q C DD $ D AD C E C $ ] A$ AEBQ D MD D B MD D E D EM C D B B ^ C ^ C ^ ME PBX.219: 19.9//=4- L B D B QRD^ D D E E $ B ED ]A D D B M X D! ]WL AMM D E [E ^ H A^ [L^ MKL A D D B D [D D D B CX EC D D D C $ E D D QRD^ M A B DDBD $ A M D B C EQD

F C ED BDD D B B 8?.219 19:.93G-0>0 49: 19 I=J/43=.40-19 ; 43/0 </0124.: ] Q AE D EBP$ BEED ED E A DE$ B E B CB D E E CE ]WL ]A D BEED D A D RMC B AEBQ CB DB $ ^ DB D DD BQCB XCEB$ [WG N B D D M D B E! D $E D F E D A D AEBQ CB DB $ MD D QE D E C M D BD CD D^ B B A M CBQ DD BQCB XCEB$ [WG M BEC $ $ A M ACE A DD EEC D^ [D D! D E QEC $ D CB D AD B E B ]D BQ BQD Q$ D DD BED D CD CR BQ D CE Q D C DED E B ^ M CEB$ A D $ A M D D BQ D N]KJ V $ D D D E D E DD BED! B B ED CB B $ D D B D A D CEBC M E$ D D CE Q D E B A Q Q M ]JPL [D BQ D D E ED BQ D L M B B CBQ [WG^ D BQ D WVW K D M D D AE AC CB B D DD D [D B D M B D DD D D P B O BDD D M DD E C $ B E E C $ P BDD D LP BQ D D D D BQ $ D D B D^ D M D $ B E CR E Q$ D D B D E B D D CE Q D E B DD D C N]KJ [ D CD D EC D MB D B D WVW K^ E D A M B B A BQ D BQ D M ED B D M RD E D [ D D CD B C D E D $ E BD CX D A E D BEED E B N D^ D D D CCD D EC DED MB C D CB BQ D M D B D $ D CE Q D EM C D E CR B M 8?.219 19 >= </=.4H29 4-12:./49>>9 19 30-39<.40-19 43/09>93./0-43: LP D B C A E E D ^ AE DAD C C DE AXC C [ BQ C M D CE Q D DD D D DBBD D BD D $ D B M^ O [ B J E E ] K WD M M DADB D EC BQ A D M B BQ BQXB ^ E B$ E E C E D D B DDBD D D C D BQ D E B DC D CB DAD RCD

B B N M D B C Q C$ ] ] D DAD $ B E D AE$! BQU KTWB B BDT M [ D D D D P [ E$ BQ BQ EM C DA BB D WVWK C D D BD EB $ D ] C! DP A D L DD D B B E EL L E E D ^ RD M DDD E $ $ D E D^ E E EBE AMD D DD ED A A B C EU EB $ D E CE A B B CC Q C$ [VL ] IHH+ BE P L ] BQ D BQ D E E MDE D D B D F D E B D D EBX P$ D D B D E B [ D ED B CR ED D $ M D $ A D D Q C $ MD D EBDED ] DD ED Q C$ ED EC E ED E O D M D B CCBE D D $ E D C AD DC ^ A A D E C $ D^ D $ D EU EB $ D P C M D D B PB A P C B C QE QE CR EU EB $ XC C ]D D D D B C E B DD DC ME PB D B B D EU EB $ D D A$ C P A$ BD C DD D B C EQD C E B C ] M D D E C $ D B C D D BB D A $ D^ D BD [SNVOTSITM LOK KTM P L ED D B D AEB D DC D EEC D PD ALOK KT M [SNVOTSIT M E $ P D $ E D EZ D D DC D D B C D D EU EBX $ D V $ ^ D ED D D D DC D B D MB D DC D E D! D$ A ED D [SNVOTSI TM O D M D D DE QE D D A E B B D CR D B B [ CE Q C A D CR D E D D D B D BD C D D RBQ B B CC O D M D D E DD D CR D ED E CE $ D B B D EX U EB $ D [ D CD BDD D BD MD D E DD D B BQD A C R EEC D PD D E DC

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]A!B E B CR D B B E D D CB D D D [D D D M D D LC B L CEB$ D D B B D E ED V $ ^ D WVWK D BQ R BD CD O D D DD D CD A B D CB D O D E D B D C D D B R C P ED D B C D E B C G D^ D E D EB E D C AD E B BD D F D E D C D D BEED A D A ED LCEB$ L^ A D D BEED B A D DB C D $ A B C BEED B D J D EBDD AM BQ B E D D C C D D EC D D D CD A B D QAD$ D DD BED WD D DD B B D CE Q D E B V $ ^ DD B DDB E BDXB D C DD B C D B ED BD D ] B B E D D D D AAD EQ BDD D B B = 0-0; 49 19: </0124.: >? 3G9>>9 ; =3/0:30<4H29 LM B B E D D M E D CB D^ B M DM B $ DP B C D$ A D C AE EE C # B D D M $ D E D EBDE^ D CD LCB L LC L DD D M # AD XB $ A CB VD XB DC $ D M B [N D X CB C DE ] D A B EE B D D WVWK ^ C E E DE^ P # B E D WVW K D ED ED^ $ E B D ED B C D EDB C MC D $E D D ND D D BD^ D M D $ D D ED EB $ D D LCEX B$ DL F D B D MB D C MC D EE C D B B D ] CR BDD D DC D D C D WVWK B ^ D AA B C MC M D ^ D D D D D B A B C R C EB $ ]D D BDDD D M D EM C B C R E F BDD JJ ED ED EB CEB$ BE BQ BDD JJJ^ D CB C D D D D E!B BQU TD JD C TM

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H D ]D RBD $ B D D D CD CB CE $ A D RCD D ADDC P [ D B D E CB RBD CEB$ D ] D D B B ^ D $ D AEBQ E ^ CD D C D A CB BDD D EM C D RD DC F E B D $ E D RBD D DDC ] P C Q X Q WVH A D RBD ^ EDE D DB C M E G ED C ^ D CB RBD CEB$ D D DD D C D D CEB$ D D CD D D E D^ E D C R D $ ]D CE Q D E B DED D DD D C D D BEED CEB$ D BE BQ $ D BEED EM ED D BQ D D DB C BE BQ ]D CB B C D D F [ D D D ED D B C D D EB $ D M A C D E C BD^ D ED D E B D DC D V MBQ^ BD D D D CD DD D D B B D E ED B CC D B C D D EB $ D BDD$ D^ D D! ED D RD B D G C ^ CB A D EE Q D DDC E D B C C CR $ CB BDD J CE B CC [WSK C B E ^ B ] B B D D M N]KJ $ B Z DAD RC EB $ L M D B D D DED D E B D EDED^ D M D M D P $ D C MC D CEB$ D D CD! ^ $ A D BEC $ [ ^ BD C MC D D D D M D EE C D RBD D D $ D C MC D D D D^ D $ D D DAD RCD CEB$ D V ^ D CB B C D D B C E E B E D EB $ CEB$ D D EDED DDC E B ]D D EB $ D CEB$ D D B E $ ED D C C ^ D C C D D DB C ^ D D BQ D M A D DB C BE BQ V ED CE^ D CB B C D D D DD D C AEB $ D E B D EDED M D C AD $ C EB $ D D ED CD EDED CR QA CEB$ EB $ ND B $ A E ^ D BQ D E B C AED M B C D ]D CB DAD RCD WVWK F ]D CB DAD RCD D D CB B C D D D $ D D M D B ED D Q EBE MB D C^ $ B D C E B C C E E $ M CB B C D D $ $ D $ C$ D D B B A A B B E E M CB DAD RC WVWK D XC C G C ^ B DD WVWK D E B C R $ B AE C ^ B CC $ "

D A E [ D WVW K ED E D D E B D E B AB D C E ] $ E B B MB CB B C D M B D B C E F D E B D D C D E C D^ D D MB C E D D B C D B $ M EBDD B B A EB D EBP$ ^ D B^ DD D E E ] B B A E E B C CEB$ ^ EB $ D $ ^ B D D CD C QAD$ D B C D D $ ^ EEB CC B XE E$ B G ED C ^ CB DAD RC WVWK D B DC AEB $ CB CEB$ ]D E B D EDED D B C D MB C E A CE A EB D EBP$ ] E B BD D B C B E EB XCEB$ M A D DB C D D D B C E BE BQ D =J>9=2 / 3=<4.2>=.4I WB RBD CEB$ D WB B C D D WVW K DDC D E BX DDC EX DDC EX E B E B A BEED B C E N]KJ B C E N]KJ E B EDB AEB $ EDB AEB $ [WSK [WSK E B D DC D E B D B C D D MB C E D D X C D C QAD$ D M ED ND B QRD^ D B DE D B C D CB B C D D CB DAD RCD^ D QA D EB XCEB$ D [D D D EDED D BEED DD D A D CB EB $ D DB C DD DDC ^ B D G E $ D E B B ^ B [N AD B D B DE E B CC CB C C D BD D ED D CD D D D E D^ $ AD B D D EB $ D CEB$ D V $ ^ D B BD O $ PE LCEB $ L^ DDC B C D D CD $ E D [ AD A E N]KJ B C E D CE Q D E B ^ D $ ^ $ E B E C $ E B C D DAD RCD WVWK

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B ] AEB $ D D C D BDD B J D $ E C B D D B D CEB$ D D B D CB DAD RCD ] E D DD M B C D D CD D D D D DXDC D MEQB N C C DD E AM D B CD B D B D D D M BBDD D A D S A D E! DD D D D CB B D D E D F D C XC C F C B D DD B O ^ X C ^ DDB ACDD ^ C E ^ B D E CX D D B C D $ D E E BB D B OD X B D EDED B D B D BQC$ D BED AEBQ C ^ D D D D D BE D D BD W BD [DD L ^ D DAD RCD X ^ D$ D D A DB D D ED D D D DD ^ DEB E F ABBEE CR LN X" D A D CB DAD RCD DDE D O B ^ D B CC C DE D D EBBQ D A D D M EB E D D EBPB D D BBEE CR D M D D D MEQB M DD D B D EDB D D DRD^ D B D DD ED XE E$ B D D C $ D D DAD RCD E B A D B D B DD C BD B G CR D L D K E [ MEQB PCC DD E " PCC E E$ B X% U X% U X U IED C C % µ [Q B CC CD PCC C E X% B" [ X% B" [ X% B [ KD E C E C C [ C C [ " C [ T EB E D D EBPB D ABBE CR D ] BD W BD [DD L D C A ME D D D D CB BQ D ] D D D ^ D D D M CD EMB D RCD C D G ED D CD D C BQE^ D E D ED B RC^ D CR RD BDE BQ D CB DAD RCD V $ ^ D B D BBEE CE $ D D ED CD BED D BQ$ DD [D E B D D E C D D D $ D ABD D DD B CC D D D B M 9; <>9 <=/.432>49/ 12 3=<.92/ 19 </9::40- ]D B D DD D DB C B CCBE EM ED RD P D ED "^ D D B E D X B D MB^ BQ $ A ^ D B D EU EDD ED^ D B D B B ED P D B D ED D ]D B D C AE C EU EDD ED D RD DC D E $ ^

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NDB D A ED EB CEB$ DBQEC EB CEB$ ^ C ED EEC D PD^ B Q WVH M B B E B D B D EB D^ D $ C BX M ]AM B A AB C D B C E B D CC E B D CD D B ND BD A B C A C C MC D E $ E C E D BQ B $ M $ C C EE C S D AE AB C EU EB $ D D BQU KTWB X B BD D E D D B A AB M D A L 9;<>9 <=/.432>49/ 12 ;43/0 / :0-=.92/ >93./0; 3=-4H29 <94-9: 4-.9/ 14 4. : ]D ED D EB CEB$ D D ED D D B C D D WVW K BDD$ D^ D D DED B CC D B D EB $ XCEB$ D D DD^ B CC C B CC P EB CEB$ M ED EB CEB$ D ED D ED D D F EB D PD C DD D D D DD D $ B CC EB C B CC M D P ] CDD$ D $ D DD D DD B CC P CEB$ C D E E$ B ED B $ E CDD M D B B D k D DD D V D EB D^ ED D ED AEM D D D E CE $ D^ D B E E B CEB$ EB D $ $ E M $ A D $ E ]D EB D PD C D

E C B B E M ^ D$ AD D D CDD $E B V D CC D E E C F E = 1/2 CV ] 2 E B EB D $ E M B E D D M D B B E ] E CE D B E $ C MC AD DD $ D B x B E B D A C F F x = (1/2 CV 2 ) = 1/2 V 2 C x x S ^ B B E A B D E B D EB A A E d DAEB F A C = 2ε 0 d avec A = ex e D AE DD D EB D x ED MDXXMD ] E B EB D $ D A C MC D B F F x = eε 0V 2 % d S C $ $ B E B D E x B D M D EBX D V MBQ^ D B E D $ E D D EB D V $ D P Vf CDD C A CE D B D D M Vi EB D PD^ D DD AB CDD C MB E B AC F F x = eε 0(V f V i ) 2 " d V $ D D EB D D DCC EME E B C ^ D Z D BD D M D V i B ^ F F x 2 eε 0 d V fv i D [ E B D E C E D Vi $ E D D EB D PD^ B $ $ D EB ED B O E E$ B AB ] D B D B C DE A CDD^ DD D A E B B B^ D B C B CC DB Q C $ ^ E AE$ F d 2 x M sis dt + Msis k dx 2 Q dt + kx = F x F ] B D k D E D D E B E CE C A D C E DED Msis ED CDD DDC$ E$ M DD E E E T TC Q D EB $ E ED B^ D E EB C D A D D EBD ] D DAD RC E $ C D CR D CEB$ D

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/ 1 δt! " " " " " " " 1! # * $%& ) $ " " 0! " $ " #$ ' / ) # * $ & 0 "! # " #$! " ". /! " # " " " 0 " "!! # 2! # $ 0 1 $ " " #$ $ # # $! $ & 2 ( ' (! 0 # ( $% ( ( " " $ "!!! # "! * # "! # # " ".. $ " " # * 2 $! % 0 # " "! #! 0!

/ 1 1 $ ' # ( $ & ) 2 * 2 # " # # " $ 2 % 2! 0 - # - $ & $ " # #! # " # " " "! # " " / 2 2!! %! # # "!! # #! " 2 2 # $ "! 0 " $ % % 2 $ *

/ 1$ 2! $! # #" # #! "! " "! 2$ 2 $ 2 " "! % 2! # #! # $ 0! $ 0 $! $% * #! " % 0 1. " # #

/ %

( ( # $! " "! #! %! # '" " " #" ) "! 2 $ % # #! # " 2 " # #! 2 #!! $ %! "!! 2, "! " " 0 " # "!! " ' $ $! % ) ( 0 # 0 $ " % 2 #! $ #$ # 0 # $ " 0 2! "! 2", $% 1. $ " $ * 2 $ # # # / /

/ % 2" % # " & $ 2 # $ "! # 2 2 $ ' 0 $ ) 2 2 % " 0! $! * #! # 0 # $ $ $ $ $ 0 # % # " $ & 2 ' # ) ' ) $ * #, % * $ $! # $ $ 0, # $!! " & " " #! 0! " 0 " % ' " $ "! ) ( (! " 1. % "

/. # " 2 % # $% #! ' "! )! # # ( 0 % " # 2! 2 2! $ $ 0 # #% 2, $ 2! " ( 0 2 " # $ $ ' $ " ) " $ $ " "! # 0 " # #! $ $ # 2 $ # 2 2 $ $ 2 * " $ # 2! # #! " 2! $ " # $ ' ) # # 2 2 % " $ #! $ " " 2 2 2 $ # $! " # # "! 2 " 0 ' "! 0 0 "! " $ $ * # $ # $ 0! ( ( & $ $ % # $ #

/ 1 $ %!"# 1 / % # & 0 1 / %! # 2 2 ' # ) # $ " $ # " 2 0! " " " " 2 # "! #! # "!! #!! # & # # # $% # # $ $ * #! " ( ( $ *! ( ( 2 2 #! 2 '

/ & 2! $ 2 " # # $ " % #! % % " " ' " 2 ) # " " " # # $% &! # " $ " " $% # 2 0! " " $ # 0 $ 2 0 # $ 2! # " & #" 2 " " $ * " " 2! 2 #" ( ( 2 # 2 '! ) " " 0 " #! ' " ) "!! # " 2! 2 # $ 2 # 0 $ $ " # $% ( *! 2 # " '! ) " # # $! " # $ # $%! # " ( ( " $ * 2 " #! # 2 # $ &! $ 0! $ " 2 # # ' # 0 ) $ # $

/! " # % ' ) 2! # " #! $ " $ # $%! # # " & " # % " $ # # " $% $ $ 2 #" % % " # #" $ # $ * " # $ 2 $ # # $% $ "! % " $ " ( $ ( 0 $! $ # " "! #! $ " $!! " $ $! " 2 % ", " # " " # 2 2 %! " " " ' " " ) $ 2 0 %! " # $ # # " $ " # # #

/ # " 0 " " " $ " # $ 2! # $ # " # # #! 2 #! # " $! # ' )! $ 2 $! # 2 # $ * 2"! " 2 $ # $ * $ # % / & "! " " $ ( # $ $ " " # " # 0 " " $ 0 " * $ # 0 # " #,!! " " $ + " #! # " " #! %! #! " # # # # ' % )

/

/ $

" " $! * # "!, $ 0!! # # " " $ # & $$! 2$ 0!! # " -! " " 2$ '" # ( )! " 0! 2$ * $! 2! #! * # " # $ "! " "! " 2 # 2 # " #! 0! # '!!!! $ # # 2 ( "! " # " " # " # # * " " $% 2 2 " # $% 2!! / /

/

* " (! ( # #!! " $ ' ")# # " ($ %( # $% 2 % # 2! " % %& # ### & # %% % $!! # " 0 $% 2 " " # '! " # "! " & % " & 2 $ # (& " # " $ & 2 $ & 2 &!! & & & " #, " & " # $ # ( '! / & # # ' # & " %& # % #! &! %!! "!!! % # " & # " & $ /.

/ 1 # %% " 0 # & " TM 2 " % " $ $% 2 " % %# ( # 2 &!!! #, & $ # & %& 0! #! % ' &!! 2 ) $ $ 2 $! ( (# "! % # " " # % 2 # # " " " # " % 2 $! 0!# & " "! % 2 2 $!# * % # 2 $ & % " " & $ % 0 ( ( ( (&! 2 $ ###, &!! % & " "! %# % & "! # % & # " # %!# ' " " $ " " $ & # $ &!! %! #! 2 $ # 2 " " # " % &!!! & % # &!# * " # 2 $ # " #, 0 & "! " # ' # # " # " # 2 "!#!! " & " $!! # #, $% 2 & 2!! %%!& "

%! # % " & $ &! 2 $ / & ' 2! % & " # % &!& % "! # 0 ' # " # 2 %! # / ( " % " & # 2 $ 2 & " % %# & " $ ( ( ( (& # " % $& " #!# ( 0 " % $ % 0! 2 0 $ %!# " " " $ 2!! 0 2! #! % # $ & #!!! # % & $ 2 $ % '$! $ 2 $ # * " $!# & 2 & '$& + & # " % % # ' # # " &! " & # &! #! 2 & ' & # $ 2 & 2 $ & & %& % " # ' " %! & # & 2 # & #! $ 2 $! " & #! # %! # * " # %!!! $

/ #! $ %& # 2!# " # $ * * " " $ % # # " % 2 $& 2 $ " %# 0 &! " 2 '! #! % &!$. & ) 0 #! #! # *!! 2 # 2! 2! % 2 $ # ' " 2 $ 2 & # " # ' # $% 2 $ 2 %! # 2 $ # '! " & " "! % % " # " & # #! 2 $! ( (! 2 # ' 2! " $ 2 %! # &! # $ 2 # ( 0 % " " & " $! 2 $ ' 2 )& & "!! ' 2 #/# # #.)# * " " & 2 $ %!&!! & %& % 2 % " & 0 & % "! ' )& '$"(&, 2 # " 2 2 $ '$!# & # " # 2 $ % " 2 ' 2 # #.)# ' $ 2 %! $ & # & #

/ #/! 2 $ & " 2 # " " " # # " % $ &! 2 $! 2 $ # "! # " #! 2 $ # ' & " % " % 2 % 2 $ 0! &! "! ' # ' # $% 2 # $ & " "!! $ %! # " & "! # $! 2 $ # (& % # & " #! 2 $ $ %, & 0 % #/# ' $ #!!! # $ & 0 & # % 2 #

/! # %& % " # % 2 2 $ # ' # $% 2 " "! 0! " %!# " / & # &! ' 2! #!)&! ' #! $ )& %!# ' % % $ " $ # # 0 2!# ' % & * 2 & " % " %!! # & &, # " " &, % %&, " # ' %! $ " 2 $ " # $ # % 2!! 2 " # % & # # 0 " # # "!! " & & " % %# ( " 0 & " " % %& 0! "! 2 $ #!& % TM " " % # " " " % $ " $!! # & " ( ( % 2 # % # ' # " $ & % & %% " # " "! # # % 2 0 # 2 " " #

/ $ # % %, % & "! %& % % # ' " 2 & " % 0 "! $ # & # % # " # & % # ' % " % # % # " % 2 $ # ' 0 % # #! " % #! # %# *! & # # # *! % 2! 2 $ # ' " " % " & 2! 2 $ # * % 2 " " & # $ "! " %%!! %! # " & 0 & %

/ % " # *! # % $! " #! # & %! #! " # # ' #! #! ' # 2 $ " " # * " " # 0! # ' #! 2 2! # " " # 2 2 %# $ % " 2 " # #, & 2!! 2 %!!# ' 2! /# * " %# ' % $ # ' 2 2 2 " %!!! 2 2 # ' 2!! 2 & &! " & 2 # $ 2! # ' " $ # %!# 0 &! 2 $ 2 & 0 $ " # ' # $% 2 $ 2 #! $ & &! & # '! " & & & " %! *, % # %# ' " # " %# * "! #!! # % 2 $ # * " %& " # & 2 " #

/ / #. # ( " $ $% 2 # % # & " & ' %!& " & ' 2! " & ' " # & ' & ' $ %!& ' $ % ( (#, 0 & # %! 2 $, # * # # # " # & % " " % # $% 2! ( ( 2 # " 2 ' ) ' ) 0 ' ) 2 # ' " " # * " 2! $! " # " # ' ( ( 0 0 % #.# * 2 2 & " %%!# & " " % %!! " " # % 2 &! " "! # %& $ " 2 # #, & "

/ # % " " # * %%! $ " # * # " & % # " 2 & $ #!! # " 2! # &! " % " % "!!!#, $ "!& " 2 " % % %& " $ $ # ' # " % # " # # " & " " & # 2 & " $ % $ & # -# $ # " % $ $ $ # " #! " $ " % # ' $ & " % # $ & 0 " $! " %!# *! " "!! "! & %!& 0!& %!& "! # %& # # " %! " '! & 2 $ ###)& " % $ # $ " "!!! # & $ 2 $ % &!! %! $ #!! ( (# " # " % 0 # # " % %# % 0 # # # " % & # # " " # " # & #! $ $ %! %! #! 2 $ & #! 2!# # % & ' #!! $! # % "( # " -! & *(& (# #

/. # 1, # ' # % & ).#.#, $!! # ( (# & % & ". *(! ' )& TM 0 % 0 #

/ 1

/

/ ( " & $ #!! & 2! $ " # & " & 2 " $ # %# $ " " " # * " % %& " # ' " $!! # 0! %!# " $ #! # ' # %!! 2 # *! #! % " # '! $ & & * 2 &, " & '! " " # 2 $ # ' # $ $ %! # 2 $ 0! # % " # % #! 0! # %# (&! " &! % % & $ % # 0! # % %! TM # " # #! # ( & " " # $% #!! # '! " $!! # " & # % % 2 $ '$ 2! # $ % #

/ ( " #! # 2 $ " 2! 2 # $ # % # 0 2! % & #! # 0 # 0 %!!! '! % $ ) # ' 0 2 &!& 2 $ % # '$& % & 2 & " &!! $ & $ % " 2 $ & & 2 # *!! & $ & 2! " % $! # " "! " % # *! # % % # 2 $ # '$# '! " 2 & 2 % % #!!&! # $ 2 $ # # ' #! 2 $ # 2 " # & "! %! # # $ " " 2 & " # %!!# # & % # & " & % % "!! "! # # * % $ % #!!& " " " " %! # $ 0 $ "!! 2 # '! 0 # 2 # % 2 $ '$# ' # % # # & %

% $ & " # & " % $ 2 # #! $ 2 #, & %!!& # $!! $ "!! # ' " #!& 2!& $ %# # # )& 0 " #, & 2! # * 2 # %# # % 2 # # % "# *! " # " 0! % # ( #! # # #!# # & # % % '$ 2 # # & $ 2 $ %! " % $ # / $ # %! # 2 ' $ #! 0!& %! #! # *! # $ " # $! # # % & & 2 &! % # ' 0 & #!! # % # " $ # * #! " # &!&! " # * " # % % # $ 2 #

/ % '! " $ " & % # ' # $! # ' # % # ' $ & " 2 $ & # ( " " " #! # ( $ "! & " " # * + " ' " 0 % " )& # & ' )&!! ' &! % % 0 2 $ ) 0 # 2 & & % 2 # * % %!# * " $! %! # $ 2 #! # " $ " # ' 2 # $ "! %!! $ & # " #! " # & # $% %! 0 2 # & # %! # % # &! #! # # & # # # $ " " %&! 2 $ " % $ " # " % # $ " " # & " "! $ # ' "! " " &! # $ $ %!& $!! 2 #, & " " 2 $ % %! #, & # $% $ # 0!

$% # & " 2 "! " # # 0 & " " & # "! # (&! & "!& # & #! #!!# ' # 2 & #! " " 0 # / / % & " % # # & # * " 2 # % %& # & # % % # ' # 2! # %#!! $ #, " 2 & "! & % $ # # # & " "! 0 2 " # * # " # 2 $ " 2! "! # # # & # # & 2 # " # $ # % #! 2 " 2 " % " %!!# &! # ' % # " # %# "! &! " # " # * " $ " % 2 " # & & # % $ 2 $ # " " # " $ " # " $ %!# #! # # & # % # ' " % " # '! 2 % # " + " + '

/ )# 0 & % 2! " # ' %!!! % ' # $ % " 2 %!) % " & # # % % # # " # * % # & # % % " # $ " # " & # % $ # # #! # $ " " # *! % # " # %! # " #, 0 & "!! %# * " # %! $ %! '! "

' & & %# '! % & % # & % % & %!" #$' % && +'() * % $#+,# -&./0& $#+ 1!" ' +2(

+2 / $# %!" $ & # ' & & % # 0 TM - %# -! & #.& %# # +' ( * %, % # $ $#& % $ & &! & %! # %!!!" # -! - & # ' * - - #,!" #! %# & %! & - - % *,#

+2 ' - # '- & - % - # " & - # $ $ % )# $ eij & C.M 2 & dij # D i = e ik.s k + ε S ij.e j *$#+, T k = c E kl.s l e ik.e i *$#, Di %& Ei *,& Sk Tk # ' eik - & c E kl ε S & ij # D i = d ik.t k + ε T ij.e j *$#(, S k = s E kl.t l d ik.e i *$#, $ s E kl # d ik = e ij.s E jk d ik.c E kl = e il & 1 d15 = e 31 (s 11 + s 12 ) + e 33.s 13 = 4.07.10 12 C.N 1 1 d31 = 2.65.10 12 C.N 1 1 d33 = 5.53.10 12 C.N 1 *$#, *$#, # m.v 1 *, * V.m 1, # & -

+2 # ' %& &! # 1 $ '! % # # '% +' $ 1.5µm 5.53.10 *, 5 d 33 17.67.10 5 µm * d31,# 1 '! % % )& % # +)& %. ) % % )# $ * +' µm,# & & - - %# '! w # $ (x) = A.U & % d31 $# &! * #, 1 ' # ' * $! (''' +# µm,# ' #! & # ' %!" & # & #

+2 *, *, *, $# 1 $ *, # 0 *, ' % - # $ %& &! %# ' $ # # - # % # 0 TM $ TM & % #! & % $ - * & -%,# ' # $ - * $,# $ & % + # & % ###. & & $! # *,

+22 - # # & # # #+& % #! # '!" % * %,# # * & #, % 1 *& $&., 1 % % & 1 * /./0, 1 # $ & *! - %%,# ' % % # $ $ & # ' - #. % # # %& # & %# & $ # ' & %# $! & &! #

+2 $#( 1 % *, - - & *, - $# 1 & $