Peut-on obtenir des amplitudes correctes avec les équations paraxiales ?
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Peut-on obtenir des amplitudes correctes avec les équations paraxiales ? Francis COLLINO, Benoît LAVAUD. N˚ 3004 Octobre 1996. THÈME 4. ISSN 0249-6399. apport de recherche.
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(36) qkLf } gl[]sw[] 7fhji)clkLmsqh } hG{dcehrgl[]s\hrcescegèm h,qhrs[
(37) []xyi)fR[ t [xykL\^qzh } hrcesvkLm¯h]r[]x?g [] 7fhji)clkLm t []skLm t []so¡ «
(38) [!qzgefs]ªègeh£\wk t [] geces)hji)clkLm t [!geh¯q } krqzhjLhji)clkLm¯~kLf[!fm } kL² gl[ce\wqk } i)hrm is)f } gl[xyk f² i?cem <k } \^hji)ce7f[ t [Cgeh \¸[o i Y k t [ t hrmzsRsvkLm¯[]ms)[]\gl[ [o i)hrm i t kLmm-[? gl[mkL\C } [ t [ t kLmmR[o []ss)ces)\ce f[]s hZ i } hrcliv[ } [oigeh t ce\w[]msclkLm t []s t kL\hrcem[]sxykLmzs)c t [ } [] so¡ gL[]svi t kLmxm-[] xy[]ss)hrc } [ t h]rkLc } fms)ce\!fgehjiv[]f } m f\¸[ } ce f[ fzcsvkLcliqè[ } Ík } \hrmiivkLfi[]m %[] m-[ } hrm ifmwxyk3f² icem <k } \^hji)ce7f[\^kLcem t } [[oi fzcq[ } \w[oiviv[pfzm[y{7iv[]mzs)clkLmmzhji)f } []gegl[hrf¯xohrsRi } c t ce\w[]m i)clkLmm[]g¬¡ « hrfi } [-qh } ioªGg Y u7qèkri Y []Z s)[7fc¬ªG[]m!s)ces)\^ce7f[rª:xykLmzs)cesviv[ h Z t c } [-7f[gehpq } krqzhjLhji)clkLmm []svi%qzhrsi } krqW[] glkLclLmR[o [ t [wgeh£r[ } i)cexohrgl[^[]svi } hrcesvkLmmhjzgl[wxoh } è[]hrfzxykLfq t [\wk t []Z gl[]s?kLm i t []s t ces)xykLm i)cem7fcli [] s,q Y uds)ce f[]sq } kdx Y []s t [ g Y k } c okLmi)hrgl[xy[- fc <hrcli% f[-gl[]s?[] 7fhji)clkLms%qzh } hG{cehrgl[]s§sv[]\Czgl[]m i"[o² i } [-zcl[]m,h t hjqzi [o []s hZ xy[iäu q[ t3 hjqqzgecexohji)clkLm ¡ Z g hjqq } k:{dce\hji)clkLm^qzh } hG{dcehrgl[[]svi t [or[]m7f[
(39) fmkLfi)ceg MW[]² \w[x Y kLsv[
(40) qzh } [y{d[]\wqzgl[p[]m^hrxykLfsvi)ce7f[svkLfs¥¦\h } cem[k f } } } Z xogehrs)sce f[[oik f g kLm©qè[]fihrfzs)s)c$[o² i [Ccemiv[ []ss [, qzh gl[]shr\wqzgecli)f t []so¡ RmÀxy[!7fcxykLmxy[ } m[Cgl[C\wk t []Z gl[ t [,q } krqhjLhji)clkLm ªèmkLfsmkLfspcem i [ } []s)svkLmsqgefsqzh } i)cexofgec [Z } []\w[]m i h^Z g hjq¥ }q k]{ce\^hji)clkLmnqzh } hG{dcehrgl[ t [g [] 7fhji)clkLm t []skLm t []shrxykLfzsvi)ce f[]sqkLf } fmn\^cegecl[]f h Z t []mzs)cli [T xykLmsvi)hrm iv[rªx []svi h Z t c } [w f fzm sv[]fg$qzh } hr\ [oZ i } [ws)fdµi h Z xoh } hrxyi [ } cesv[ } gl[^\cegecl[]f ª qzh } [y{d[]\wqzgl[wgeh 7cliv[]s)s)[ t [q } krqhjLhji)clkLmWxkLf g ce\^q-[ t hrmxy[,hrxykLfs)i)ce f [
(41) %ª } []gecÞ[] sqzh } geh } []gehji)clkLm
(42) . k fZ w[]svipgeh t []ms)cli7[r ¡ ´[ni } h]jhrceg[]sviwxykL\^qèkLs7[n []ssv[]mi)cl[]gegl[]\^[]mi t [n_ qzh } i)cl[]so¡ h¨q } []\c [ Z } [¯qh } i)cl[nGh xykLmzs)cesviv[ } h¨Z [
(43) []xyi)f[ } fm } [ } hjqq[]gs)f } g kriv[]mi)clkLm t []s¸[] fhji)clkLmzsqh } hG{dcehrgl[]s t k } t } [ 7f[]gexykLm7f[©[]m \^cegecl[]f Y kL\^kr []Z m[©[oi Y [o i7[ } kr []Z m[[oijhq[ } \^[oivi } [ t [Txocliv[ } gl[]s } [ ][ } []mxy[]sm-[] xy[]s)shrc } []spqkLf } gl[]f } xykLmsvi } fzxyi)clkLm ¡ h® []Z \w[qzh } i)cl[ps)[ } hTxykLms)hrx } [o [?hrf^q } krzg []Z \w[xykLmi)cem7f^hrs [ s)f } g hjqq } k:{dce\hji)clkLm t [p¿-k } m t [pg [] 7fhji)clkLm t []sRkLm t []sR fzcq[ } \w[oivi } h t3 cemi } k t fc } [ t [p\hrmc [Z } [ vmhji)f } []gegl[ g hjqzq } k]{ce\^hji)clkLmqzh } hG{cehrgl[
(44) [oiRmkLfsRfi)cegecesv[y¥ } kLmzspfm[C\¸[o i Y k t [ t hjqzq } k]{ce\^hji)clkLm t [ | h t [! xykL\wqzgl[y{d[,qkLf } [] gece\^cem[ } gl[]s\^k t []sqzh } hrs)cliv[]sq } krqhj[! qzh } gl[]s£[] 7fhji)clkLmsqzh } hG{cehrgl[]so¡ ÔÔ(ÝGØ fggih.
(45) . ? m©q } [] s)[]miv[ t hrmsgeh¯ []Z \^[Cqh } i)cl[Cfzm©s)x Y [] \^h¯m f\¸[ } ce f[ t [ t ces)x } [o i)ces)hji)clkLm t []sn[] 7fhji)clkLmsqzh } hG{cehrgl[]s 7fc%[]svi?zhrs7[w s)f } gl[]sTi } h]jhrfd{ t [w´kLgegecemk $[oiT fzci } h]jhrcegegl[ t hrms?gl[ t kL\hrcem[ } [] 7f[]m i)cl[]g"xy[w fzcq[ } \^[oi fm[? } hrm t [TsvkLfqzgl[]s)sv[ t3 fi)cegeces)hji)clkLm ¡ Rm m ªgeh t [ } mc [Z } [Cqzh } i)cl[!sv[ } h^xykLmzs)hrx } [o [ hZ gehjhrgec t hji)clkLm t f©sx Y [] \^h£m7f\¸[ } ce7f[T[oi h¯Z gehxykL\^qzh } hrcesvkLm } []m i [,g [] 7fhji)clkLm t []skLm t []s[oipsvkLm hjqq } k]{ce\^hji)clkLm©qzh } hG{cehrgl[ hZ i } h:r[ } s t []s[y{7q[ } cl[]mxy[]sm7f\¸[ } ce f[]s]¡ . Ò<ÓÔÒ<Õ.
(46) E.
(47) Tw!#% )
(48) . "* +,!- ) ! !-.C)" hjqq } k:{dce\hji)clkLm!qzh } hG{cehrgl[ t [g [] 7fhji)clkLm t []s§kLm t []s%q[ } \w[oi t [ t [] x } c } [gehq } krqhjLhji)clkLm t []s%kLm t []s t hrms fm[ t c } []xyi)clkLmq } cldceg[o LcÞ[o [r¡ N
(49) m[¯[] fzhji)clkLmqh } hG{dcehrgl[[]svi t [ mzcl[qzh } fzm!k } t } [ t hjqzq } k]{ce\^hji)clkLm fzc t [] x } cliRgl[ xkL² m[ t []s t c } []xyi)clkLms t [q } krqzhjLhji)clkLmnqkLf } gl[]7f[]g3gehsvkLgefi)clkLmn[]svifm[kLmm[hjqq } k]{ce\^hji)clkLm t [Tg [] 7fhji)clkLm t []skLm t []s]¡ [-zfi t [Rxy[-qzh } hj } hjq Y [[]svi t cem i } k t fc } [" } c[o r[]\w[]m i%geh
(50) xykLmsvi } fzxyi)clkLm t []s?[] 7fhji)clkLms§qzh } hG{cehrgl[]s [oi t [xocliv[ } gl[]s } [ ][ } []mxy[]s$m-[] xy[]s)s)hrc } []s$qkLf } xykL\wq } []m t } [Rgl[]f } [] gehjk } hji)clkLm ¡LRgegl[]s§svkLmizhrs7[o []s§[]s)sv[]m i)cl[]gegl[]\w[]m i s)f } g hjqq } k]{ce\^hji)clkLm t [geh } []gehji)clkLm t [ t cesvq[ } s)clkLm t [g [] fzhji)clkLm t []s,kLm t []so¡ hjqqzh } cli)clkLm t [¯mkL\C } []fd{ t [o r[]glkrqq[]\^[]mi)si Y [o k } ce f[]sqèkLf } gl[]s%[] m-[ } hrgecesv[ } []mn\^cegecl[]f Y [o i7[ } kr []Z m[ l Ǫ ® kLm i-q[ } \cesRgeh!xykLms)i } fxyi)clkLm t fzm[À[] fhji)clkLm¤xykLmm7f[TsvkLfspgl[,mkL\ t [] 7fhji)clkLm¤¿- aw[oipx []svi
(51) xy[]gegl[y¥¦xoc7f[,mkLfsh:rkLmspx Y kLces)c t [ } [oiv[]mc } []m¤s hjqqzfuLhrmis)f } gl[]si } h]jhrfd{ t [´-kLgegecemk %7fc3kLm i [o i7[^ gl[CqkLcemi t [ t [o qh } i t [xy[Ci } h]jhrceg¬¡ h^q } []\^c [ Z } [ [o i)hjq[hE[o i [C gehxykLmzsvi } fxyi)clkLm t [Tg [] 7fhji)clkLmÀqzh } hjkLgece7f[?[]mn\^cegecl[]f Y kL\^kr []Z m[,7fcè[]svipg [] fzhji)clkLm©qzh } hG{dcehrgl[ geh!qzgefzss)ce\wqzgl[
(52) [ois)h!%[] m-[ } hrgeces)hji)clkLm¨[]mn\cegecl[]f Y [o i [ } kr []Z m[ l Ç¡ []s¯[] 7fhji)clkLmsqh } hG{dcehrgl[]s t k } t } [ Gzhrs7[o []s s)f } fm[ t [] xykL\^qèkLscli)clkLm¸[]m } hrxyi)clkLms } hji)clkLmm[]gegl[]s t [£geh } []gehji)clkLm t [ t cesvq[ } s)clkLmEq[ } \w[oiviv[]m i t3 hr\[] geclk } [ } g hjqq } k]{ce\^hji)clkLm©qèkLf } t []shrmLgl[]s t [Tq } krqhjLhji)clkLm qzgefs[] gl[o"[] so¡ . . .
(53)
(54) !"$#%&'
(55) )(#*,+ '- . ? mxykLms)c t [ Z } [g [] 7fhji)clkLm t []s?kLm t []s?[]m t ce\^[]ms)clkLm®¯qkLf } fm \cegecl[]f t [dcliv[]s)sv[ Y kL\wkr []Z m[^h:r[]xfm[ dcliv[]s)sv[ t [?q } krqzhjLhji)clkLm . 0 .c 1 1 / . 0'1 . 3P 246574 Q98;: cCP3246574 Q . ?m x Y [ } x Y [ t []spsvkLgefi)clkLmzssvkLfsgeh Í k } \^[ t kLm t []sqgehrm[]s k f*Z N []svi¯gehqzfgeshji)clkLm [oi!P O g [] 7fhji)clkLm t []skLm t []s. PP H 4P L Q. c P32,46574 1 Q )<>=@?BACED"F6G/HID"FKJKL6M. gl[Àr[]xyiv[]f } t kLm t [rªxy[¤ fzc t kLmm[Àgeh } []gehji)clkLm t [ t cesvq[ } s)clkLm t [. t. P. P. N . HRQ L . «
(56) [,xy[oiviv[ } []gehji)clkLm ªkLm£qè[]fi t [ mc } ® } [] f[]mxy[]sSN T[oiSN D hrmzsgl[]s t c } []xyi)clkLmsU5 V [oiU5XW ^svkLgefi)clkLms t [ . PÊ®7¡Ã Q. . PÊ®7¡ë® Q. xyk }} []svqkLm t hrm i h Z t ][ skLm t []ssv[?q } krqhjr[]hrmi. P L ZY3 8 P H. . _ N T N T .\[^]. PÊ®7¡ë Q. P L 8Y 8 P H . . _ N D N D . [`]. PÊ®7¡ _ Q. P L ZY3 8 P H. . _ N N . [^]. PÊ®7¡JI Q. [x Y rh \wqwivkri)hrg6cCP3246574 1 Q c T P3246574 1 Q Q c D P32,465a4 1 Q []sviRgeh,svkL\^\^[ t f mwx Y hr\wqXc T vs [q } krqzhjr[]hrmi-r[ } s gl[]s5XV ![oi t3 fm x Y hr\wq c D sv[,q } krqzhjr[]hrm ir[ } sgl[]sU5 W d¡ ac kLm cem i } k t fcligeh } []gehji)clkLm t [ t cesvq[ } sclkLm ÔÔ(ÝGØfggih.
(57) F. []gegl[Cxoh } hrxyi [ } cesv[fm[¤[] 7fhji)clkLm t kLmigehwsvkLgefi)clkLm¤sv[?q } krqhjr[ t hrmspgl[,sv[]msR5 V dªzg hG{d[ ¨[o i)hrm ik } cl[]m i [C r[ } s gl[Thrso¡ ´[oiviv[ } []gehji)clkLm!m [o i)hrm i§qzhrsqkLgludmkL\^cehrgl[rª:[]gegl[-m[-xyk })} []svqkLm t qzhrs hZ fm[![] 7fhji)clkLm!hrfd{ t [ } cl"[o []s§qzh } i)cl[]gegl[]s \hrcesoª t hrmsgl[xoh t } [, fzc3mkLfscemi7[ } []s)s)[rªèmkLfzsrkLfglkLms
(58) fm[?kLmm[,hjqq } k:{dce\hji)clkLm t [C®7¡JIqkLf } t []spkLm t []s sv[,q } krqzhjr[]hrm ip7fhrs)c r[ } i)cexohrgl[]\^[]mioªèx []svi h Z t c } [?qkLf } s)cem _ P N H W W c t [o [[]svinhrglk } s t [ ¬hrc } [ fm t [o r[]glkrqq[]\w[]m i t [ X h:u7glk } hrf rkLces)cemhjr[ t [ P N H dªxy[7fc t kLmm[ mhrcess)hrmxy[ hwZ fzm[TmkLfr[]gegl[¨[] 7fhji)clkLm· P P L 8 H . . PÊ®7¡ë Q N ® N. ´[oiviv[[] 7fhji)clkLmwxyk }} []svqkLm t h
(59) Z geh } []gehji)clkLm t [ t cesvq[ } s)clkLm t fm[[] 7fhji)clkLmwhrf{ t [ } cl"[o []sqzh } i)cl[]gegl[]s"hjqzqè[]gÞ[o [ [] 7fhji)clkLm¤qzh } hjkLgece f[TkLf[] 7fhji)clkLm¤qzh } hG{cehrgl[- I ³ [oi fc3[]svig hjqq } k]{ce\^hji)clkLm©qzh } hG{cehrgl[ t f©x Y hr\^q c T sv[ q } krqzhjr[]hrmir[ } sgl[]s 5XV · . 0 .c 0 .c . 0 .c 0 1 . Q 0 5 0'1 8 ® 0 2 .
(60)
(61) !"$#%&'
(62) )( ' +'- . PÊ®7¡`E Q. } g ][ fhji)clkLm qzh } hjkLgece7f[ ®7¡ë¨qkLf } fzm \^cegecl[]f t [£7cliv[]ssv[ P32,465 Q f[]g¶¥ xykLm7f[r¡ c t [o [,[]svi t [TxykLms)c t [ } [ } fm[ ¬hr\^cegegl[ t3 [] 7fhji)clkLms
(63) hrfd{ t [ } cl"[o []sqzh } i)cl[]gegl[]s t [Tgeh <k } \^[$· 0 .c 0 Y
(64) RP Q 0 c 8 0 Y P Q 0 P P Q c Q PÊ®7¡JF Q 0'1 [ ®P Q P Q 0 2 02 . 0'1 . Q
(65) RP Q 0 5 [ [oi t [ t [o iv[ } \cem[ } gl[]s,qzh } hr\ [oZ i } [] s
(66) %ª [oi []m t [ mcess)hrmi t []sx } cli [Z } []s fzc$q[ } \w[oiviv[]m i t ce\^qèkLs)[ } h©Z geh svkLgefi)clkLm©fmnkLmnxykL\^qèk } iv[]\w[]m i-q Y uds)ce7f[ l ¡ | kLf } xy[]gehdªèkLm } hrces)kLmm[Ts)f } fmn\^cegecl[]fncexykLfx Y [xykLmsvi)cli)f-[ t fzm[Tcemiv[ } <hrxy[ ¬hrces)hrmifm hrmLgl [ h:r[]x,g Y k } c okLm i)hrgl[C[oikLm©ce\^qèkLs)[gl[xykL\wqk } iv[]\w[]m is)fcljhrmi · kLmCr[]fi$ f[g [] m[ } Lcl[ t [-geh?s)kLgefi)clkLmsv[xykLmsv[ } r[hrfxykLf } s t fiv[]\^qzs%h m! f[gl[q } krg []Z \^[ t [´hrfx Y u hrs)svkdxoc[ svkLclicl[]mnqkLs [r ª [ P
(67) Q gl[
(68) xyk [yµ¯xocl[]mi t [i } hrms)\^cess)clkLm^hjqq } k7x Y [phrf¯\^cl[]fd{xy[]gefc kLm^ce\^qèkLs)[p f hTcemxoc t []mxy[mk } \hrgl t [Tg [] fzhji)clkLm t []skLm t []soª [ iv[]m t kLm ce\wqkLsv[7f[gl[wxyk [yµxocl[]m i t [Ci } hrms)\^cess)clkLm¨[oi t [ } [y ¢z[y{clkLmsvkLcli,xykLm i)cem7fglk } s)7f[wg hrmLgl }r[ s d¡ ´[]s-x } cli [Z } []s-q[ } \w[oiviv[]m i t [ t [ mc } gl[]sTqzh } hr\ [oZ i } []s
(69) %ª [oi [oi t hjkLfi)c } hCZ fm[sv[]fgl[ <k } \!fgehji)clkLm qkLs)s)clgl[ l L· 0 . c 0 Y 0 c 8 0 Y 0 P c Q PÊ®7¡ë Q . 0'1 . Q _ 0 5 _ 0'1 [ ® 0 2 0 2 _ [ ´[oiviv[ [] 7fhji)clkLm¸q[]fi!sv[ } [o []x } c } [ t] [£\^hrmc ] [ Z } [£qzgefsCs)ce\^qzgl[^[]mE[
(70) è[]xy] i)fzhrmiwgl[nx Y hrmr[]\w[]m i t [jh } cehjzgl[ D _ cT· GkLfsrkLfzglkLms![] mR[ } hrgecesv[. . . . ]. . . . D _c. 0 . ] 0 . 0 1 . Q 0 5 '0 1 8. . ®. . 0. 0 0 2 Y 0 2 [ . PÊ®7¡Ão Q. Ò<ÓÔÒ<Õ.
(71) .
(72) ' # &'
(73) (,#% +"- . [?zfi[]svi t [TxykLmsvi } fc } [fzm[©[] 7fhji)clkLmÀqzh } hG{cehrgl[ t kLm igehwsvkLgefi)clkLm©svkLclipfm[kLmm[hjqq } k]{ce\^hji)clkLm t [ g [] 7fhji)clkLm t []s%kLm t []s§qèkLf } t []s t c } []xyi)clkLms t [-q } krqzhjLhji)clkLmqgefs?[] glkLclLm-[o []s t [geh
(74) r[ } i)cexohrgl[r¡#g s hjLcli t kriv[]mc } fm[T\w[]cegegl[]f } [Thjqzq } k]{ce\^hji)clkLm t [ []m¯fi)cegeces)hrm i-gl[]s-hjqq } k]{ce\^hji)clkLms g krq[ } hjiv[]f } P 8 Q _ ¡ hjqq } k:{dce\hji)clkLm ] t [ | h t [ t
(75) . xy[,7fc sv[ } [ [] x } clisvkLfzsgeh <k } w\ [. P L Y 8 P H. . _ N N . [^]. PÊ®7¡Ãr Q. t [ | h t [ fczq[ } \w[oiviv[]m ifm[ t [] xykL\wqkLs)cli)clkLm[]m } rh xyi)clkLms } hji)clkLmm[]gegl[]s t [ k } t } [w t [,geh <kLmxyi)clkLm RP Q P 8 Q _ h]r[]x N P H ][ m t kLmm[ . PL 8 N. . . 8 . F G_ _ _ A F G_ _ _ A. . F G_ _ _ A 8 F G_ _ _ A. 8 ® . ]. PÊ®7¡Ã]® Q. . P . N 8 P . P PÊ®7¡Ã] Q _ H _ H L ´[oiviv[ } []gehji)clkLm s cemiv[ } q } [oZ iv[xykL\^\w[geh } []gehji)clkLm t [ t cesvq[ } sclkLm t fm[¤[] fhji)clkLmWhrfd{ t [ } cl"[o []sTqzh } i)cl[]gegl[]s hjqq[]gÞ[o [ [] 7fhji)clkLmÀqzh } hG{cehrgl[,_I ³ · N 8 PLN . Q. . <k } \w[. . . 0 c 8 0 c PÊ®7¡Ãy_ Q _ 0 2 . 0 1 _ 0 2. 0 5 qzh } i)c } t [!geh } []gehji)clkLm®7¡Ã]®7ªg hjqq } k]{ce\^hji)clkLm t [ | h t [^ h t \^[oifzm[%[] m-[ } hrgeceshji)clkLm nh Z g k } t } [ G t [geh 0c 0c 0 1 Q 0 5 0'1 . 8. . . P Q . . . 8. . ]. xy[,7fc t kLmzm[?qkLf } geh } ][ gehji)clkLm t [ t cesvq[ } sclkLm ®7¡Ãrj· PL 8 N. h:r[]x . . ®. . 8. . ]. ] P H. N . 8 ] . ]. ] xykLs . Y. . . ®. . #. "!. . . Q. ]. .. P.. H. [. PÊ®7¡Ã-I Q. PÊ®7¡Ã] Q. PÊ®7¡Ã'E Q. ® Q scem . Y ® Q a[ h } []gehji)clkLmn®7¡Ã],s cemiv[ } q } [oZ iv[?xykL\^\w[geh } []gehji)clkLm t [ t cesvq[ } sclkLm t fm[£[] 7fhji)clkLm£hrfd{ t [ } cl"[o []sqzh } i)cl[]gegl[]s hjqq[]gÞ[o [ [] 7fhji)clkLmÀqzh } hG{cehrgl[ t k } t } [HG []m©\^cegecl[]f Y kL\^kr []Z m[,7fc s [] x } cli%· ÔÔ(ÝGØ fggih . . ] . #. #. "!.
(76) o . 0c 0 c 0 ] 0'1 Q 0 5 8 ] ] 0 1 ] 0 . 8 ] 0 . ] 0 . c 02. 0 2 . /. 0'1 . . . PÊ®7¡Ã-F Q. RmnqkLs)hrm i . ªkLm©kri)cl[]mig [] 7fhji)clkLm¤qzh } hG{cehrgl[-I ³ ¡ | kLf } . ªkLm©kri)cl[]mig [] 7fhji)clkLm¤qzh } hG{cehrgl[,_I ³ ¡ | kLf } ®7ª kLmnkri)cl[]m ifm[©[] 7fhji)clkLm¨xykLmm7f[TsvkLfsgl[mkL\ t [] 7fhji)clkLm©qh } hG{dcehrgl[!j L³G¡ . . #. . . . . . . . . . #. .
(77) ' # &'
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(140) è[]xyi)f-[o [ t hrmzspgl[xohrs [ s)ce\wqzgl[]\^[]miqkLf } hrgeg[o r[ } g ][ x } cli)f } [![oigeh[] mR[ } hG¥ geces)hji)clkLmÀ[]svipce\\¸[ t cehjiv[r¡ Ík } \Cfzgehji)clkLmnGh } cehji)clkLmm[]gegl[ t f£q } krzg []Z \w[C7¡Ãy_· mns)fqzqèkLs)[ cÀs)fdµshr\^\w[]m i } [o Lfgecl[ } [r¡ m£q } []m t fm[ <kLmxyi)clkLm iv[]svi [ P Q [oipkLm©cemi [oZ } [!s)f } . . 0 .c P. 4 1 Q P Q Z8 P32,4 1 Q eP 5 8 5-[ Q P Q : c P 41Q P Q ' 0 1 0 .c P C c P P XP32,4 1 Q P32 Q 2
(141) c 4 1 Q P Q. 4 1 Q . Q. 0'1 . Q . . J mncem i } k t fces)hrm ipgeh <kLmxyi)clkLm c P 1 Q · cCP 4 1 Q !ªgeh Ík } \Cfzgehji)clkLm jh } cehji)clkLmm[]gegl[Cs [] x } cli . C c P C c P P P32,4 1 Q P32 Q 2 [ P Q PÊ7¡Ã'E Q 4 1 Q P Q 4 1 Q Q 1. Q . J . . . Ík } \Cfzgehji)clkLmnGh } cehji)clkLmm[]gegl[ t f£q } krzg []Z \w[C7¡Ã-I· m£q } []m t fm[ < kLmxyi)clkLm iv[]svi P . ÔÔ(ÝGØfggih. . . . . 0 .c T P 4 1 Q P Q Z. 8 0'1 .. . T Q c . . . [oipkLm©cem i [oZ } [s)f }. T. : c T P 41Q P Q. . . . T. ª.
(142) -F. 0 .c T 0 1. P 41Q P Q. . . Q. . c T P 41Q. xy[,7fc xykLm t fcli h^Z eg h Ík } C\ fzgehji)clkLmnGh } cehji)clkLmm[]gegl[ . 1 .. c T P 41Q P Q. . . . Q. . c T P 41Q. Ík } \Cfzgehji)clkLmnGh } cehji)clkLmm[]gegl[ t f£q } krzg []Z \w[C7¡Ã]· m£q } []m t fm[ < kLmxyi)clkLm iv[]svi P. . . . . . Q. . . xy[,7fc xykLm t fcli h^Z geh Í k } \Cfzgehji)clkLmnGh } cehji)clkLmm[]gegl[ . 1. . . c\D P 4 1 Q P Q . Q. . . ?m xykLms)c t [ Z } [Chrglk } spfzm[ Í kLmxyi)clkLm©iv[]svi. c\D P 4 1 Q. . . . D. . P Q . . . J. Q 2 . . PÊ7¡Ã-F Q . [oipkLm©cem i [oZ } [s)f } . . . P Q Z. 8. 0cT 0 . . J. . D. . 0c D 0 . XP324 1 Q P32 Q 2 ®. . . PÊ7¡Ã] Q . iv[]gegl[7f[. [ P Q. . . J. ®. J. . XP32,4 1 Q P32. : c D P 41Q P Q. . c\D P 4 1 Q. . . . c D Q . . 0 .c D P 4 1 Q P Q Z. 8 0'1 .. 0 .c D 0'1 . P 4 1 Q P Q . . . . P Q . . P Q Z. 8 . T D . . . . . . [oikLm ¬ hrclipgehwsvkL\\w[ t []s®<k } \!fgehji)clkLmsjh } cehji)clkLmm[]gegl[]s7¡Ã-F[oi
(143) 7¡Ã]7ªzkLm kri)cl[]mi. . 1. . . . c T P 41Q1. XP32,4 1 Q P32. J ?m. Q 2. 1 1 Q c D P 4 Q P Q . . . . Q. . . c T P 41Q1. . Q. c D P 4 1 Q 1 P Q . . [ P Q. t [ mclipgeh Í kLmxyi)clkLm
(144) c qzh } . c P 4 1 Q . hrglk } soª. cC P 4 1 Q c T c c c T P . ¬hrclipg Y u7qkri Y[]Z sv[7f[Hc T . ac Lk m « hrfi } [,qzh } ioªkLmÀh h:r[]xc ws)f } . L. t. . c T P c D P. 4 1 Q c T 4 1 Q c D. P 4 1 Q 1 Q c D P 4 1 Q 1 4 1 Q 1 Q c D P 4 1 Q 1 Q PZc T 8 c D Q J e P 5 8 -5 [ Q. c D s)f } L ªzhrglk } s c c T P 4 1 Q 1 Q c D P 4 1 Q 1 . c D . P D Q. c . P Q. c T . P T Q. kLmxc [ P Q ¡. ¡ Ò<ÓÔÒ<Õ.
(145) ] c s)hji)ces ¬hrcli!hrglk } s,gl[¯\n[]² \w[q } krzg []Z \w[^7f[XcW[oi,kLmWxykLmzxogef[^qzh } fmcexocli [¯ 7f[Bc cE xy[¯ fc§iv[ } \^cem[wgeh t [] \^kLmsvi } hji)clkLm t fngl[]\^\^[r¡ | kLf } \^kLmi } [ } 7f[c T c D s)f } L ª ceg§s)fdµi t fi)cegecesv[ } gl[ <hrcliT7f[ []svi?svu7\¸[o i } ce f[Cqh }
(146) } hjqqk } i h Z g cem iv[ } ¬hrxy[ L ¡j«hrms§xy[-xohrsoªc D P3246574 1 Q c T P324 8 574 1 Q []s)i%svkLgefT i)clkLm t [-7¡Ã-F[oi t [-\ []² \^["qkLf } c T P32,46574 1 Q c D P324 8 574 1 Q 7fc[]svips)kLgefi)clkLm t [,7¡Ã] t kLmxjªqzh } xykLmi)cem7fcli [r ª c c D s)f } L ¡ T 65 n¾<À½ & W¾ @ » 3 Aº 5 L t kLmzmhrmigl[Cx Y hr\wq©cemzxoc t []mi cz dªègl[C® ] \^[]\ } [ P324 1 Q e)P 5 8 5-[ Q xyk })} []svqkLm t ThwZ fm[Ts)kLf } xy[Ts)ces)\ce f[?qzgehrxz[o [,[]m©sf } ¬hrxy[?[]m 5 5'[ d¡ c c 1 L "L Q cz D 1 L "L t hjq } []Z sgl[Tgl[]\^\^[r¡ [Tx Y hr\^q£cemzxoc t []mi7f[?mkLfshrgeglkLmzs\wk t [] gecesv[ } []svi xy[]gefc fc s)[Tq } krqzhjr[ t hrmsgeh t c } []xyi)clkLm 5XV x []svi h Z t c } H[ cz D ¡z«hrmsgeh^s)fcliv[rªzgl[,x Y hr\wq cz sv[ } h^hrs)s)ce\^cegÞ[ hBZ c D · . . . . . . . cems)c¬} ªgl[Tq }} krzg []Z \^[,7¡JF. . cz P3246574 1 Q c D P32,46574 1 Q cz P3246574 1 Q 5 W . t [odcl[]mi. i kLfr[ zc !·
(147) 74 Q
(148) .
(149). 8. 0 . c . . 2 . 4^5. 74 Q .
(150). . 0 zc 3P 2,4 1 Q ® < 5 0 5 0 cz P3246574 1 Q 0'c 1 3P 2,46574 1 Q 3 º65 L t kLmmzhrmi^gl[Àx Y hr\^q t c } hrxyi [ e4c3ªgl[À® ] . . &. T 65 ¾<½ ¾ ) @ » eP32,465 Q 0 . c P32,46574 1 Q xyk })} []svqkLm 0'1 . } [. ® < k \w[§·. Rm cem i } k t fces)hrm ipgeh < kLmxyi)clkLm. . PÊ7¡ë®j Q. [. '0 1 . 8;: c . . . PÊ7¡ë®d Q.
(151). w\ []\C } [ P3246574 1 Q t hrm i h Z t []s } [y ¢z[]xyiv[]f } ss)cli)f-[] s[]m q } kÍkLm t ][ f } q[]fi^sv[ } [[] x } c } [¨svkLfswgeh . . e c. P3246574 1 Q . T D. t [ mcl[Tqzh }. . P32,4 4 1 Q eP 5 8 ) Q . . T e c P D. e'c P32,46574 1 Q . 2,465a4 1 Q . g [] 7fhji)clkLm 7¡ëq[]fisv[ } [è[] x } c } [ hZ g hrc t [ t fnx Y hr\^q e c, ·. T 1 4 e C c 3 P 2 6 4 7 5 4 e c P 246574 1 Q Q D 0 . e c 8;: e c 3P 24 4 1 Q e)P 5 8 )Q . 0'1 . [ 0 e c P 246574 1 Q 0 e 1 c P 246574 1 Q Z g [] 7fhji)clkLm 7¡ë®r® t kLmmhrm ide c GkLfspqèkLfrkLmshrcems)c3hjqzqzgece f[ } gl[,gl[]\^\^[ h e c e c T 1 L Q e c D 1 L . . . PÊ7¡ë®r® Q. [Tx Y hr\^q t c
(152) } hrxyi [C fT [TmkLfshrgeglkLmsxykLmzs)c t [ } [ } []s)ipxy[]gefc 7fc sv[?q } krqhjr[?[]m t c } []xyi)clkLm t [Tgehws)f } ¬hrxy[BP<r[ } s 5 W Q x []svi h Z t c } [\e c ÔÔ(ÝGØfggih . .
(153) ®j . e c P 246574 1 Q e c T P 2,465a4 1 Q " 2 e c P 246574 1 Q 5 V . . . 4 5 W. ?mn[]m t [ t fcli f[Tgl[x Y hr\^q t c
(154) } hrxyi [, ivkri)hrgCe4c¤ f[TmkLfs } [oiv[]mkLmzs[]svipgl[,x Y hr\wq T T T 1 1 e4cCP3246574 Q e4c P32,465a4 Q e c P 2,46574 1 Q D. [Tq } krg []Z \^[,7¡ë®r® t [odcl[]m i3· i } kLfr[ } e4c©·
(155) 74 Q
(156) . 8. .
(157). . . . T e c P . e4cCP3246574 1 Q D 0 . e c 8;: e c [. 0'1 . 0 e c 0 5 P324 e c P 246574 1 . PÊ7¡ë®r Q. . e'c T. ·. . 246574 1 Q . . 4 1 Q. 7 7 í º >C3Ê » 3 ºA5 7 >C3 ¾< 7½. Q . ®. PÊ7¡ë®G_ Q. <. 5 . PÊ7¡ë®I Q . 0 e c 0 1 P 246574 1 Q . ]7½ º65 & ? m xykLms)c t [ Z } [Cg [] fhji)clkLm t []skLm t []sph:r[]x® ] \w[]\C } [ t hrmspfmn\^cegecl[]f t [?7cliv[]s)s)[ [ Y kL\wkr []Z m[. L < L. . 0 .c 1 1 1 [. 0 1 . 3P 2,46574 Q98;: cCP32,465a4 Q P32,4 Q eP 5 8 5'[ Q. PÊ7¡ë®r Q. 0 .c T 1 Q98;: c T 3P 2,46574 1 Q 3 P , 2 6 4 7 5 4 0 1 [. . 0 T 8 0 c 5 P32,4 1 Q ® < 5 5-[. PÊ7¡ë®(E Q. hsvkLgefi)clkLm c t T [?xy[?q } krzg []Z \w[?q[]fis [] x } c } [ t hjq } []Z sgl[?qzh } hj } hjq Y [q } [] x[ t []m ixykL\\w[gehsvkL\^\^[ t f m x Y hr\wq©\^T kLmi)hrm ic P 5 W 5-[ Q [oi t fmnx Y hr\wq t []sxy[]m t hrm ic D P 5 V 5'[ Q k f Z c []svips)kLgefi)clkLm t [ . . [oi. c D. svkLgefi)clkLm t [. . . . . 0 .c D 1 1 [. 0 1 . 3P 2,46574 Q98;: c D P32,46574 Q 0c D 0 5 P324 1 Q ® < 5 5-[. . . . . PÊ7¡ë®F Q. h } ][ gehji)clkLm t [ t cesvq[ } sclkLm t [Tg [] fhji)clkLm 7¡ë®r Y kL\wkr []Z m[,s [] x } clixogehrs)s)ce7f[]\^[]mi P. P. N . H Q L [.. PÊ7¡ë®r Q. «
(158) [xy[oiviv[n[] 7fhji)clkLm ªLkLmhdf7f[g kLmqkLfGhrcli t [ mzc } ® } []gehji)clkLmsxyk })} []svqkLm t hrm i h Z t ][ s§kLm t []s$sv[q } krqhjr[]hrmi Ò<ÓÔÒ<Õ .
(159) ®d · P L N [ Y 8 P N H. . [. [`_] ¥ t hrmsgeh t c } []xyi)clkLm 5 W · P L 8 N [ Y 8 P N H. . [. [ _] q t} []Z sfm[i } } t hr} m<k } \¸[o [ t [ <kLf } cl[ } cem r[ } sv[?[]m©geh!Gh } cehjgl[ t ][ svqzhrxy[ 2 ªkLmnkri)cl[]m i®[] fzhji)clkLms t c
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