Electro-optical properties of ideal and disordered semiconductor superlattices
Volltext
(2) "!#$%'&! ()*+ , !# ! - . / ,&#!1023 , - 04 5*657/$ 8:9<;=;?>A@CBEDFBG9IH7J KML @ N@EOPDQJ3R L J3RS >F;T8HUVBMH7@GRF@CDS >W; S >A@X'DWB L @ZY9P;[;?>AJ7;?\^]5DA_<BM>AJ ` 8$@a@b>V@aJ7DFBcaed 3S >Af gD\^]h >A@G>W9I\=]ji/]"k;^9lU S3>A@i/]m9nOP9po3o;*q[rJ59ts>A@C;=9uBDWv BxwyDQ@zh L @GR sH7@bRF>WOI>{R?B|sH7J }+~ W%+ D L ;x@GH7J7D\=] wD"@zh L b@ RFD]J"Q5.
(3)
(4) !"#$ &%&('"'"*),+.-/102435 3 6%(879(,*2323:-;<>=?A@CB%&ED<FF/=GH-I6-JK-L? M 2C3INB/3O 3
(5) *P " Q?R79?RS?T ;H UWVX#43INB/3O 3
(6) *P " Q
(7) ?7Y#?"Z"?[\?]^ T I8"_`B"5 -%&
(8) -a"HB/5 QB"-IP D b"?c@CB%&SD<FF/=.
(9) .
(10) !"# $ # %'&)(+*, #.- / 1 ?&D 82 HJ&%43 -/(<- <-![ #0/ 1 ? 1 M43 B"3:-$Q65 3: - ? 1 ?8 Y9 *# 0 < /% ? ? ? ? ? <
(11) = # &)(?>@ -# A(B&CD # / "8 ?&D T H3: OH%_ E ,'R< 23O ? ? "8 ? 1 F (-HGE *
(12) '/3:- ? ? "8 ?8 T"2< 23IH MJ(,- ? ? J K B/@ # # L>@ -# M(%&CD # / ^7 ?&D T H3: OH%_ E ,'R< 23O ? ? ^7 ? 1 F (-HGE *
(13) '/3:- ? ? ^7 ?8 T"2< 23IH MJ(,- ? ? ^7 ?P7 B")
(14) [ #0/<)'5 PQ (-I ? ? *+$ R(S/R T/ V W /'&XYX # Z[&/C/\ T] ^ B_$(S$])A& -"`. <B"- 23:-/ ? ? ? ! ? ? ? ? ? ? ? ? ! ? ? ? ? ? ? ? ?!? ? ? ? ? ? ! ? ? ? ? ? ? ? ? ! ? ? ? ? ? ? ? ?!? ? ? ? ? ? ! ? ? ? ? ? ? ? ? ! ? ? ? ? ? ? ? ! ? ? ? ? ? ? ? ! ? ? ? ? ? ? ? ? ! ? ? ? ? ? ? ? ?!? ? ? ? ? ? ! ? ? ? ? ? ? ? ? ! ? ? ? ? ? ? ? ?!? ? ? ? ? ? ! ? ? ? ? ? ? ? ? ! ? ? ? ? ? ? ? ! ? ? ? ? ?!? ? ? ?!? ? ? ?!?. ? ? ? ? ? ? ? ? ? ? ? ?. ? ? ! ? ? ? ? ?!? ? ? ?!? ? ? ?!?. ? ? ? ? ? ? ? ? ? ? ? ?. ? ? ? ? ? ? ? ? ? ? ? ?. ?!? ? ? ! ? ? ! ? ? !. ? ? ? ? ? ? ? ? ? ? ? ?. $0. DD. .7 D;: 18 8D 8 = JN b1 b8 OF =8 U U N D.
(15) 7.
(16) . %] # # # # )( % " T ] # K & /'&;] T] # _ # /\(%&.Z. NV NU $00.
(17)
(18) !#"$!%'&($!%)&*#!&+$-,/.1032546,879$#:<;=,/&?>@BA?&C"D,/.E=7GF=HG.I$!=JAKH'46&C-280<$I$-,/.E&CAMLON5N9PBQ90*!&R,/F'&*S 0<2T2VUAKHW,X$!&3FY$!ZA[$-H6FUY0\;#0*-,/&+$]U^#:M=4_$-,/.1032`037GF^&B2/&3.I$E!=7_,/.1032a4'!=46&B-$-,/&BAb#:cA?&C",/S .E=7GF=H6.1$!=IA*dRef7G&g#:G$!%)&b"h#A[$,879$!&B!&CA[$-,87Gij4'!=46&CI$-,/&CAk:J,/F'&C0<2N5N9P_@#,1dT&WdM,879l'7_,X$!& 03!I0BU9Am#:n&B2/&3.I$E!=7_,/.1032T2VUo.E#H'4W2/&3Fh,/F'&C79$-,/.1032np=H'0379$-H'"q>g&B2T28AC@),8AC@'$!%_0C$sr5UZ;#03tU=,87Gi $!%)&\A[$EEHG.I$-H'I0324'0*I0*"Y&+$!&BIAu$!%)&D&+vc&3.I$-,V;_&ZF=,8"Y&C7WAK,/=7_032T,X$tUo#:w$!%)&.I03!-,/&CkA-U9A[$E&C" .10*7xrG&$-H'7G&*Fy$!u0<2T2<;#0<2TH6&CAnrG&+$1>g&3&C7j$1>gu0*7GFy$!%_!&3&WdMz{7mAKH6.!%j0sA-U9A[$E&C"@|$!%)&}.10*E-,/S &BIA("Z0CU~"h<;_&}:O!&*&+2VU>b,X$!%9,87x$!%'&}4W28037G&CA46&CE46&C7)F=,/.-HW280*w$!u$!%)&ui+!5>j$!%xF=,8!&*.1$-,/=7w@ :{#2T2/5>b,87Gi$!%'&r_H_2oF=,8A46&CIAK,/=7_A*do fH6&$!h$!%)&$EI037WAK280<$-,/=7_032n,87#;#0*-,80*7=$x.!#7_l'7G&3S "h&B79$}465$!&C7=$-,8032]@)&+2/&*.I$E!=79,/.srW037GF9As0328A?&C"Y&C!i<&x,87Z$!%)&\i+!5>j$!%F=,8!&*.I$-,/=7cdsNB,87G.!& $!%)&46&BE,/_F=,/.-,X$tU032/#7Gi$!%9,8A0|5,8A,8A"DH6.!%280*!i<&C?@M$!%)&CA?&"D,87_,rW037GF9ABn03!&"DH6.!% A"Z0<2T2/&C$!%_037$!%'=A?&,87^$!%)&,87GS!4W280*7)&F=,8!&3.I$-,/=7WA*dDG%)&B,8y>b,/F#$!%^,8Ag.!#79$E!#2T2/&*FrU $!%)&y&B2/&3.I$E!=7_,/..E#H'4W2T,87Gi}rG&+$1>g&3&C7x$!%)&f>g&B2T28AC@B>~%9,/.!%x,8AfF'=",87W0<$E&*FxrUb$!%'&}2/&C7)i|$!%_A #:c>g&B2T28Am0*7GF^rW03!-,/&CIA*dDz{7$!%)&Z.10*A?&#:n$!%=,87orW0*EE,/&BIA~LO=7_2VU0Z:]&?>"h=7G280CU_&BIA[QE@ $!%)&.!#HW4W2T,87GirG&+$1>x&*&C7$!%'&Z>g&B2T28A\,8AA[$E!=7GiZ0*7)F#7G&9r9$103,87WAx>b,/F'&Y"D,87_,rW0*7)F9A L{f+w}QKdcG%9H'AC@3$!%)&urG&C%_0C;=,/#HW#:_$!%'&j.I03!-,/&CIAf0*7GF~$!%)&y!&CAKH_2X$-,87Gi&!#.I,X$!=7_,/. ,879$E&CI0.I$-,/=70*!&y0<28"h=A[$c,/F'&C79$-,/.1032#$!b$!%'=A?&},87\0y$!%9!&*&*SF=,8"Y&C7WAK,/=7_032'r_H_2mAIU9A[$!&C" d 9#\$!%=,/.!rW0*EE,/&BIAhL"h=!&^$!%_0*70:]&?>$!&B7WAh#:y"h=7)#280CU9&CIA[QbA"Z0<2T2k"D,87_,rW0*7)F9A L{fwsQc&C"h&B!i3&j0*7GFx$!%)&u:O!&*&u"h5$-,/=7,87$!%)&miB!5>$!%DF=,8!&3.I$-,/=7rG&*.E="h&BAy#: "D,87)=y,8"Z46#-$10*7G.E&WdG%)&\A-U9A[$E&C"0328"Y=A[$yrG&<%_0B;_&BAj$1>xWSF=,8"h&C7_AK,/=7W032T2VU`d\6%'&C!&*S :{=!&=@B$!%)&u&+vc&*.1$-,V;_&uF=,8"Y&C7WAK,/=7_032T,X$tU#:$!%)&yN5N9Pk2T,/&BArG&+$1>g&3&C7~$1>xb0*7)Fb$!%_!&*&yL3 QKd G%)&^F=,8"Y&C7WAK,/=7_032T,X$tU"Z0CU¡rG&Y:H'I$!%)&Cx.E=79$E!#2T2/&3Fr5U0*4'4W2VU=,87Gi0*7&!*$E&CE7W032f%)WS "h_i3&B7G&*#HWAm&B2/&3.I$EE,/.¢l6&B2/FY032/=7Gib$!%'&i+!5>j$!%F=,8!&*.1$-,/=7adkG%9,8AylG&B2/F^F'&BA[$E!3U9A}$!%)&.
(19)
(20) . $EI0*7WAK280C$-,/=7W0<2n,87=;0*-,80*7G.E&037GF$!%9H'A$!%)&.E="D2846&+$E&F'&+2/W.1032T, !0<$-,/=7¡#:n$!%'&A[$I0<$E&CA*d zO$n2T,T:$IA($!%)&jF'&*i<&C7)&CI0#.]UD:_$!%)&yA[$I0C$!&BA*d(z{7G.E!&B0*AK,87Gis$!%)&klG&B2/FJ@*$!%)&j&!*$!&B7WAK,/=7D#:_$!%'& A[$I0C$!&CARrG&3.!="Y&CARA"Z032T2/&BM0*7GFb$!%'&k"D,87_,rW037GF9A rW!&B05jH'4g,879$E"!037W7_,/&CKSNB$10*!g#L !NBQ A?&C-,/&CAn#:C$EI0*7WAK,X$-,/#7WA6>~%9,/.!%j03!&¢F'="D,87W0C$!&3FurUk$!%)&M$EI037WAK,X$-,/=7WA`rG&|$1>g&*&B7u$!%)& &+2/&*.KS $E!=7h0*7GF%'#2/&A[$10<$!&BAk>~%9,/.E%0*!&.!&B79$!&B!&*F0<$ $!%)&\A03"h&x>x&B2T21dbG%)&gA-U9A[$E&C" $!%'&C7 rG&<%_0B;_&BAk03A}0xA?&BE,/&BAy#:6HW7G.!H'4W2/&*Fp=H'0379$-H'">g&+2T28AC@=,1dT&Wd`$1>g_SF=,8"h&C7WAK,/#7W032T2VU`d G%9H'AC@`N5N=P>b,X$!% &;_&B79$-H'032T2VU^0*4'4W2T,/&3Fo&B2/&*.1$EE,/.yl6&+2/F9Am0<2T2/5>:]=¢$!%)&g,87=;_&BA[$-,/iB0C$-,/=7 #:'=4_$-,/.I0<2=0*7GF\&+2/&*.I$E-,/.I0<2)&+vc&3.I$IA(,87\%)#"hWi<&C7G&3#H'A(A-U9A[$E&C"ZA(03Aa>g&B2T2=03AM,87\A-U9A[$!&B"ZA #:'"h#!&m#a2/&CAA¢F=,8A[$-H'!rG&*F~AIU9"Z"h&+$EtU`dMeR:J.E#H'IA?&#@*$!%)&C!&y0<28A?&!5,8A[$(&+vc&*.1$IA>m%9,/.!% 0*!&uA46&*.I,Tl6.M:{=cAKH6.!%\0bA-U9A[$!&B" #:6&B2/&3.I$E!=7_,/.1032T2VUD.!#HW4W2/&*Fp=H'0*79$-HW" >x&B2T28A*%d $'!9rGS 05r_2VUJ@c$!%'&"h#A[$b4'!="D,87G&B79$x=7)&CAg03!&Z$!%)'& &)2/_.!%=A?.-,T2T280C$-,/=7WA:s.10*EE,/&BIA=70*7 9rWA?&Ct;05r_2/&}$-,8"Y&*S!A?.1032/)& (+*-,#dc6%'&CA?&u#A?.-,T2T280<$-,/=7_AR,87\0j%'="hWi<&C7G&3#H'Af&+2/&*.I$E-,/.al6&B2/F #:cA[$E!&C7Gi?$!/% . %90C;_&g0D46&BE,/_F)01h>~%9,/.!%h,8AmF'&+$E&CE"D,87G&*Fr5UZ$!%)&g!&C0<2/S!A4'0#.E&46&C-,/S WF=,/.-,X$]3U 2:9$!%)&¢280<$I$-,/.E4& 01)5786 9 .:2'd( fH6&}$Ej$!%)&}A%)=I$`46&C-,/WF=,/.-,X$]Um,87r_HW2jA?&C"D,/S .!#7GF=H6.I$E=IAC@_7G=7_!&C032T, !0*r_2/&ml6&B2/FZA[$E!&C7Gi?$!%_Af>gHW2/FZrG&m7G&*.E&CAA03tUZ,87=!F'&BR:{= 01 $!rG&*.E="h&mA%)#-$E&Cn$!%_037$!%)&~F'&C4)%_03AK,87Giu$-,8"Y&CA¢,87'%)&B!&C79$($E!&B032)A-U9A[$E&C"ZA*daG%9H'AC@ &)2/_.!%)S=A?.-,T2T280C$-,/=7WAa%_0C;9&f7G$WU9&+$JrG&*&B7g=rWA?&Ct;_&3Fk,87mr_HW2kA?&B"D,/.E=7GF=H6.I$E=IA*dMz{7xN5N=P $!%)&u7G&*.E&CAA03tU\l6&+2/F9A 03!&j"DHG.!%A"D032T2/&CAK,87G.E&=@_.!%_03I0#.I$E&C-,8A[$-,/.I0<2T2V;U 2=<><@?gfB A|C 2D EGFIH 0*7GF^$!%)&C!&+:]=!&$!%)&BA?&=A?.I,T2T280<$-,/=7WAg%_0C;9&Z,87GF'&3&*FrG&3&C79rWA?&Ct;9&*F r5Uo0^.!H'4W2/&#: &!46&C-,8"h&C7=$I032wi+!#H'4'JA (+KMLON,#d(G%)&UD0*!&g:A46&*.I,8032)$!&*.E%_7_,/.1032J,87=$!&C!&BA[$?@_0*A¢$!%)&~=A?S .-,T2T280<$-,87)iD.10*EE,/&BIAu2/&C0F$!h=A?.-,T2T280C$-,87GiF=,8462/&\"h#"h&C79$1Ak>~%9,/.E%o&C"D,X$}I0#F=,80<$-,/#7,87 $!%)&m$!&BI05%)&B-+$ sL PQ-QMI037Gi3&#@W0\:O!&*p=HG&C7G.]UI037Gi<&m>m%9,/.!%,8A%_03!F=2VU0.!.E&CAAK,r_2/&~>b,X$!% $!%)&Ba$!&3.!%_7_,/.1032)"h&|$!%)WF9A*d`G%9HWAC@ R9A0*5,_037GF\9AKSH (UTV,s0328!&B0#FUAKHGi3i<&CA[$E&*F~,8W7 *OXYVZ'@ $!H'A?&N5N=P^0*AZ&C"D,X$E&CIAY:} PQS!I0F=,80<$-,/=7>m%)&C!&h$!%)&h:/!&*p=H6&B7G.tU.I037 &B0*AK,T2VUrG& $-H'7G&3FDrU\$!%)&jA[$E!&C7Gi?$!%:G$!%)&j0*4'4W2T,/&3Fh&+2/&*.I$E-,/.Rl6&+2/F`d [ 7G5$!%)&Ck0#F;0*79$10#i<&#:N*N9PY.E="Z4'0*!&3FY>b,X$!%^AK,87Gi|2/&p=H'0*79$-HW" >g&B2T28Ax=yr_HW2YA?&*S "D,/.E=7GF=H6.I$E=IAC@w,8Ab$!%)&$-HW7W05r_,T2T,X$]U#:a$!%)&B,8u:H'7GF903"h&C79$1032(0*rWA?=E4_$-,/=7^!&CA?#7W0*7G.E&Wd !^%'&CK&C0*A~>j,X$!%)#H_$b034'4W2T,/&*F¡&+2/&*.I$E-,/.ml6&+2/Fo$!%)&0*rWA?=E4_$-,/=7&*F'i<&,8Ai|,V;_&B7rU$!%'& &!#.-,X$E=7rG&B2/5>$!%)&y"D,87_,rW037GFJ@#0<$M%9,/iC%\l6&+2/F9A 7G$-,/.E&C0*r_2/&j0*rWA?=E4_$-,/=7.!#"Z"h&C7).!&BA 0<$c$!%)&b.!&B79$EI03\2 !oN*S&!#.-,X$E=70C$I$I0.!%)&*Fx$!m$!%)&j.E&C79$E&Cf#:9$!%)&u"D,87_,rW0*7)F`dnG%9HWAC@<>b,X$!% $!%)&lG&B2/FJ@c$!%)&hF'="D,87_0*79$m!&BA?=7W0*7).!&"Z0CUrG&ZA%9,T:$E&*Fr5U%_0<2T:R$!%)&>b,/F#$!%¡#:R$!%'& "D,87_,rW037GFJ@9037h&!*$EI0#=!F=,87_0*tUx280*!i<&bI0*7)i3&~#:&C7G&B!i?U`dcG%9,8A¢4'!#46&CI$tU\,8A !&*p=HW,8!&3FJ@ :]=j&!*03"Z4W2/&=@w,87&+2/&*.I$E!_S=4_$-,/.I0<2M"h_F=HW280<$E=IAx=uA?&+2T:]S&B2/&3.I$E!WS=4_$-,/.1032&Bv`&*.I$mF'&*S.
(21) Y. ;=,/.E&CA ( L X ,5@=>m%)&C!&~0gl6&+2/FZ,8AsH'A?&3FD$EA?&B2/&*.1$f$!%)&j>b0C;_&+2/&C7Gi?$!%#:6$EI037WA"D,X$I$!&3F# 0*rWA?=[rG&3F2T,/iB%=$Bd G%)&$!%)&*#!&+$-,/.1032(A[$-H6F=,/&BA#: N*N9P0*!&Y&CA46&3.-,8032T2VU ,879$E&C!&BA[$-,87GiDAK,87G.!&>b,X$!%o"hWF'&B!7 &B4W,X$I0|5,80<26$E&*.!%_79,/p=H6&CAk,X$ ,8Ak46=AAK,r_2/&j$E!&C032T, &x0*7)FZ,87=;9&CA[$-,/i+0<$E&N*N9Pm>b,X$!%D,/F'&C7=$-,/S .1032wA[$E-H6.I$-HWI032G4'0*I03"h&+$E&CIAu03AkHWA?&*F,87Y$!%'&j$!%)&*#tU`d Px*>g&;_&C?@9,87$!%)&\&C4W,X$10|5,80<2T2VU i+!5>m7ZN5N9P9@5$!%'&k>x&B2T28A¢037GFrW03!-,/&CIAf0*!&uH'AKH'032T2VU7G$a,/F'&C032T2VU46&C-:]&*.1$Bdz{7i<&C7G&BI032]@ $!%)&x280CU9&Cs0<$f$!%)&\rG=!F'&C :/!=" >g&B2T2`"D0<$!&BE,80<2$!rW0*EE,/&B¢"Z0C$!&C-,8032`,8Ay7G$}A[$E-,/.I$-2VU r_HW,T2X$:O!=" =7G&Z"Z0C$!&C-,8032]@nr_H_$,8A~0"D,*$-HW!&>j,X$!% 03!&C0*A#:frG$!%>g&B2T2(037GF rW03S -,/&C~"Z0<$E&C-,80321d 6%=H'AC@n$!%)&C!&h03!&0*!&B0*Ag>~%)&C!&Y$!%'&Z>g&B2T28A0*7)FrW03!-,/&CIA03!&=7G& "h#7G#280CU9&C¢A%'=-$E&C¢=M>b,/F'&C$!%_0*7D$!%)&b!&*i|HW280*R;032TH6&_df6%=,8AF=,8A?#!F'&C,87 H6&B7G.!&BA $!%)&ZAK,/i+7W0328Ax,87o$1>gY>m0CU9AC@R0#F'F=,X$-,V;_&+2VU60*7)F ,879$!&B!7W0<2T2VU6@w>~%9,/.E%.I037¡rG&$E!&C0C$!&*F A?&B4'0*I0<$E&B2VUg,T:W$!%)&u0*!&C03A}:W$!%)&urG=!F'&Cc280CU9&Cf.E=7WAK,8A[$-,87Gi:6=7_2VU=7G&y"Z0C$!&BE,80<2'0*!& 2803!i3&Bn$!%_0*7\$!%)&j&!#.I,X$!=7_,/. &=%_S!I0F=,TH'A L{f+ [ QKd9z{7\$!%9,8A}.10*A?&#@$!%'&yA-U9A[$!&B"q.10*7 rG&}!&*i+0*!F'&*F~03A(0uA?&|$n#:=H'7G.E#H'4W2/&*F~!&B032T,8A0C$-,/=7WA #:="DHW2X$-,84W2/&3Sp=H'0*79$-HW"hSI>g&B2T2_A-U9A?S $E&C"ZAJ>b,X$!%bF=,Tv`&C!&B79$F=,8A[$EE,r_H9$-,/=7WAJ:{=_$!%)&n>j,/F#$!%_Aa#:B>g&B2T28A`0*7)FurW0*EE,/&BIAcLO.E="Z4'0*!& 5,/i9d *)d *CQKdkG%)&CA?&F=,Tvc&B!&C79$¢!&C0<2T,8A0<$-,/=7WAy2/&C0#FD$!hF=,Tvc&B!&C79$k=4_$-,/.I0<2037GF&+2/&*.I$E!=79,/S .1032GAK,/i+7W0328AC@*>~%9,/.!%0*!&0#F'F=,X$-,V;_&+2VUAKH'46&C-,8"Z46=A?&3F\,87$!%)&~&!46&BE,8"Y&C79$1032JF'&+$E&*.I$E=Bd &J&CAK,/F'&j$!%=,8Aj 0F'F=,X$-,V;_&="YWF=,Tl6.10<$-,/=7#:)$!%)&~9rWA?&Ct;9&*FAK,/i+7W0328AC@$!%)&xF=,8A?#!F'&C0328A? .!%90*7Gi<&CAu$!%)&x,87GF=,V;=,/F=H'0<2`AK,/iB7_0328A~#:cAK,87Gi|2/&\!&B032T,8A0C$-,/=7WA\ ,879$!&B!7_032T2VU6Od fH6&~$!D$!%)& ;0*tU=,87Gis>b,/F#$!%_A($!%)&bp=H'0379$-H'" "h&*.!%90*7_,/.}.E#H'4W2T,87GirG&|$1>g&*&B7$!%)&s>g&+2T28AkF=,Tvc&BIAf2/WS .1032T2VU`dM6%=,8A¢03v`&*.I$1A $!%)&jAK,87)i+2/&3S!4'0*I$-,/.-2/&mA[$I0C$!&BA¢0*Af>g&+2T2)0*A $!%)&+,8 &!#.-,X$E=7_,/.R,879$E&CI0#.[S $-,/=7cd (&C7G&BI032T2VUJ@$!%)&g;#03E,/H'Aj,87GS!4W280*7G&03!&C03A\#:c$!%)&A[$E-H6.I$-H'!&\0*!&7G5$uA[$E-,/.I$-2VU ,87GF=,V;=,/F=HW032]@'r_H_$R03!&g.!H'4W2/&*F$!%_!#HGiC%$!%'&x&!#.I,X$!=7_,/.f,879$E&CI0.I$-,/=7adG%9,8A $!%'&C!&B:{=!& 2/&B0#F9Ay$EZ,879$E&CE7W032nF=,8A?#!F'&C ,87Y$!%9,8AbF=,8!&3.I$-,/=7h0*Ak>g&+2T21d &;_&B-$!%)&+2/&CAAC@'$!%)&g2803!i3&B $!%)&jAK, &x#:)$!%)&m%'="hWi<&C7G&3#H'A}03!&C0*AC@$!%)&j2/&BAA¢,8"Z46=I$I0379$(,X$RA%)#H_2/FrG&*.E="h&_d &J&CAK,/F'&Y$!%)&,87'%)&C!&B79$F=,8A?=!F'&Cg#:¢H'AKHW032T2VU7G"h=!&Y$!%90*7=7G&Y"h=7G#280BU_&B|@M$!%)& A[$E-H6.I$-H'I0<2M4'03I0*"h&|$!&CIAx"Z0CUrG&>g&+2T2f.E=79$E!#2T2/&3F,87 $!%'&h&B4W,X$I0?5,8032fi+!5>j$!% (+*OZ ,#d G%9H'AC@c,X$,8Ag0<28A?o46=AAK,r_2/&$!^4'!WF=H6.E&ZA-U9A[$!&B"ZAm>~%'&C!&$!%)&>j,/F#$!%_A#:($!%)&>g&+2T28A =rW03!-,/&CIAD,87=$!&C7=$-,/=7W032T2VU F'&;=,80<$E&o:O!#" $!%)&!&*i|HW280*g;#0<2TH6&CA*d G%9,8AZ0<2T2/5>mAZ:]# 0.E="Z4'03E,8A?#7 rG&+$1>g&3&C7$!%'&*=tU037GF &!46&C-,8"h&B79$g>b,X$!%$!%)&^,/F'&C79$-,/.1032jF=,8A?=!F'&B .E=7_l6i|H'I0C$-,/=7w@}>m%9,/.!% ,8A%90*!F=2VU 46=AAK,r_2/&o:{=0*7=U $!%)&BF=,8A?=!F'&B!&*FAIU9A[$!&C"DA*d !h,X$!%\$!%'&A[$E-H6.I$-HWI032=4'0*I03"h&+$E&CIAC@5$!%)&yI0<$-,/=A¢F'&*.I,8AK,V;_&y:]=`$!%)&y,87 H6&B7G.E&x#:6F=,8A?#S F'&BM,87DA?&C",/.!=7)F=H6.I$!#IAC@5$!%'&I0C$-,/grG&+$1>g&3&C7Y&!.-,X$!#7_,/:. &J9%_KS!I0#F=,TH'AR0*7)FDF=,8A?=!F'&B.
(22)
(23) . r . R ex. Z. 5,/i|H'!& )* d *. G
(24)
(25) " - +
(26) ! G+ "W\ #$%# + '& ( +O ) * U-
(27) \+( -, . 0/214365 J 7,
(28) 8,9"W):<;=, \ A '& C B D,++ +EF$ G H +\ ) >?@ -, . M . 2/&C7Gi?$!%_A\LT$!%)&$!%9,/.!7G&CAA\#:a>g&+2T28Ag0*7)F rW0*E-,/&CIA[Q 0*7GF$!%)&DI0<$-,/^rG&+$1>g&3&C7¡&!#.-,X$E=7 r_,87GF=,87Gi&C7)&C!i UY0*7)F^F=,8A?=!F'&Cs&C7G&B!i?ULX;#03E,80C$-,/=7o#:M&B7G&C!i|,/&CAu,87>g&B2T28Ab#:MF=,Tvc&CKS &C79$($!%=,/.!7G&CAA[QE@="Z0CUZrG&k;#03E,/&3Fh<;_&B0b>b,/F'&mI037Gi<&Wd G%9,8AyA[$-HGFU>j,T2T26$EtU$!Yi|,V;_&~0.E="Z4'!&C%)&C7WAK,V;9&i<&C7)&CI0326,/F'&C0#:6$!%)&~"h=A[$R,8"Z46=KS $I0379$x&B2/&3.I$E!WS=4_$-,/.1032R&Bvc&3.I$IAg,87N5N9P'd(5,8IA[$-2VUJ@ G%_0*4_$E&C K>b,T2T24'!&BA?&C79$y$!%)&rW0*AK,/. $!%)&*#!&+$-,/.1032y.E=7G.E&C4_$1A*d 6%=,8A\>b,T2T2}rG& F'#7G&h,870i<&C7G&BI032}!&B4'!&CA?&B79$I0C$-,/=7>m%9,/.!% 0*4'4W2T,/&BAy$!Z032T2`AIU9A[$!&C"DAu,87=;_&BA[$-,/iB0C$!&3F$!%_!#H6iB%)#H9$R$!%=,8AA[$-H6FU`dN5="Y&x$!%)&3=!&+$-,/.1032 F'&+$103,T28A\A46&*.I,Tl6.b:]#u,/F'&C0<2 =~F=,8A?=!F'&C!&3FN5N=P#:]=y$!%'&.!%'#,/.!&#:frW0*AK,8AgA[$10<$E&CA >b,T2T26rG&b4'!&BA?&C79$E&*F,87D$!%)&~.!=E!&CA46#7GF=,87GiyA?&*.1$-,/=7WA*d 6%_034_$!&C >b,T2T2F=,8A?.-H'AAf,/F'&C032 AKH'46&C-280<$I$-,/.E&CA*dxPC,87G&C03k0*rWA?=E4_$-,/=7!&CAKHW2X$1As>b,T2T2wrG&gH'A?&3F,87^=!F'&CR$!h&!4W2803,87h$!%'& $tU94W,/.1032:{&C0<$-HW!&CA:#$!%'&y&B7G&C!i UbA46&3.I$EI0j:'&+2/&*.I$E!#7_,/.I0<2T2VU.!#HW4W2/&*Fgp=H'0379$-H'">g&B2T28A >~%9,/.!%>b,T2T2a%)&+284^$!YH'7)F'&CIA[$I037GFY$!%)&\!&CAKHW2X$1Ab:{=uF=,8A?=!F'&C!&3F^N5N9P'dc5H'I$!%)&CE"h=!&#@ PQnAK,/i+7W0<28AM>j,T2T2_0<28A?~rG&k046#,87=$M#:)F=,8A?.IH'AAK,/=7ad [ A46&*.-,80<2_46#,87=$a%)&C!&¢>j,T2T2WrG&}$!%'&. "hWF=,Tl6.10<$-,/#7#:)&B2/&3.I$E!=7GS!4)%)#7G=7\A?.10<$I$!&BE,87)ikI0<$E&CA¢F=H6&}$!b$!%'&&B2/&3.I$EE,/.nl6&+2/FJ@5$!%'& ,879$EI0#.E#2T2T,8AK,/=7_032Wl6&+2/F&+vc&3.I$?@3>~%9,/.!%\A?m:O03M%_03A rG&3&C77G&3i+2/&3.I$!&3F\,87g$!%)&}$!%)&3=!&+$-,/.1032 $E!&C0C$E"h&C79$1A#: N*N9P)d(zO$s>b,T2T2rG&,T2T2TH'A[$EI0C$!&3F$!%_0<$yH'4 H'79$-,T2M7)5> $!%=,8Am,87 H6&C7G.E&^#: JI. JI. LK.
(29) X. $!%)&j&+2/&*.I$E-,/.nl6&B2/F\%_0*AfrG&*&B7x>b,/F'&B2VUxH'7GF'&B!&CA[$-,8"Z0C$!&*Fg0*7)F~$!%90<$c,X$n2/&B0#F9A($!\.!%90*I0#.[S $E&C-,8A[$-,/.IA}>~%9,/.!%Y"Z0CUrG&x%9,/iB%92VU,87=$!&C!&BA[$-,87Gib:{= 46=AAK,r_2/&$!&*.E%_7_,/.1032`0*4'4W2T,/.10<$-,/#7WA*d G%)&~A[$-H6FU:,/F'&C0<2`N5N=Pm>b,T2T2rG&\.E="Z4W2/&|$!&3F>b,X$!%;0*-,/#H'Au.!#"Z"h&C7=$IA=7D$!%)&\F'&*S 46&B7GF'&C7G.E&Y#:M PQyA46&*.1$EI0h=7$!%)&Z&!.-,X$I0C$-,/=7.!#7GF=,X$-,/=7WAC@G>~%=,/.!%o%_0*AmrG&*&B7;_&CtU .E=79$E!<;_&BIAK,8032T2VUYF=,8A?.-H'AA?&3F,87Z!&*.E&C79$(U9&C0*IA ( * *CL* V,=d G%)&!&BAKHW2X$IAg9r9$I0<,87G&*F:{=k,/F'&B032(N5N9P>b,T2T2c$!%)&C7orG&HWA?&*F,87 6%_0*4_$E&C N$E^F'&C-,V;_& $!%)& F=,Tvc&B!&C7G.E&CA,8"Z4'!&CAA?&3FrU,87'%)&B!&C79$D#g,879$!&B79$-,/=7W0<2yF=,8A?=!F'&CBd [ iB0<,87w@f$!%)& F=,8A?.-HWAAK,/=7D>b,T2T2wrG&m,879$E!_F=H6.!&3F>b,X$!%Z2T,87G&C03}05rWA?=E4_$-,/=7ZA46&3.I$EI0G:d Px&C!&#@_l'IA[$$!%)& ,87 H6&C7G.E&g#:W"h=7G#280BU_&B H6.I$-H'0C$-,/=7WAf0*7GFx$!%)&kl'7_,X$E&jAK, &j#:)!&B032'AIU9A[$!&C"DAf03!&m&!9S 4W280<,87G&*F`dG%)&B70*7¡,879$E&C!&CA[$-,87)i&!*03"Z4W2/&h:]#b,87=$!&C7=$-,/=7W032}F=,8A?=!F'&B|@M0 N*N9PY>b,X$!% ,879$E&C!.!%90*7Gi|,87GiA"Z0<2T2/&C037GF>j,/F'&Cs>x&B2T28AC@6>b,T2T2nrG&4'!&CA?&B79$!&3F`dzO$}>b,T2T2MrG&A%)5>m7 $!%_0C$u$!%)&BA?&A-U9A[$E&C"ZA~"Z0CUorG&DHWA?&*F:]=s$!%)&YLO&!46&C-,8"h&C7=$I032XQ}4'!&C4'0*I0C$-,/=7#:n>g&+2T2 !&BA?#2V;#0*r_2/&b2/W.1032T2VU,87GF=,8!&*.1$¢&!#.-,X$E=7WAC@#0b$]U946&x#:&!#.I,X$!=7WAyvc&C-,87Giu0b>j,/F'&jl6&+2/F#: 7G&?> 4)%#U9AK,/.1A*dmN*&*.E=7GF=2VUJ@)$!%'&x,87 H6&C7).!&#:`"Y=7G#280BU_&C HG.I$-H'0<$-,/#7WAm=7h PQsAK,/i3S 7W0<28Aj>j,T2T2MrG&,87#;_&CA[$-,/i+0<$E&*F`dzO$¢>j,T2T2MrG&ZF'&B"h=7WA[$EI0C$!&3FY$!%_0<$s$!%)&,87W%)="hWi<&C7)&*#H'A F'&B4)%_0*AK,87GiuF=H6&}$!b$!%'&CA?& H6.1$-H'0<$-,/=7_A2/&B0#F9A($!~0mF'&B4)%_0*AK,87)i}$-,8"h&}>~%9,/.E%\,8A2T,87G&B0* ,87$!%)&ml6&+2/F`dj5,87W0<2T2VUJ@),X$>b,T2T2wrG&&!4W280<,87G&*F>b,X$!%:]#H'KSI>m0B;_&*S!",5,87GimAK,/i+7W0328A}$!%_0<$ F=,8A?=!F'&BF'W&BA7G$(=7_2VU~2/&C0Fg$Em,87'%)="h_i3&B7G&*#HWA}F'&B4)%_0*AK,87Giy.I0<H'A?&*FrU~,X$IAR0#F'F=,/S $-,V;9&k.E%_0*I0.I$!&B|@3r_H_$?@B0#F'F=,X$-,/=7W0<2T2VUJ@+,T:#$!%'&kF=,8A?#!F'&C6,8Ac,879$!&B!7_032]@+$!u0k%)="hWi<&C7)&*#H'A F'&B4)%_0*AK,87Gi~#:&!#.-,X$E=7_,/.f!&BA?=7W0*7).!&BA*d K. I.
(30)
(31) . . #! "%$'&)(+*,*-(/.1032#4657"98;:=<7$?>@.A0,*,*B032C<D>7(FECGH5D$I<7"%$6JF8;KL0-5@<7"M$;(C>7$N<O0-5P8Q*R57(C2%57$?:=<PKAGMKS$;ET&U(C> <7"%$VEM$WKS5D>O03:=<O0-(C2(+&X8Y*,*XKPZ9K[<7$W\]KI032C^=$?K[<O0-4?8W<7$YE_032<7"903K`K[<OGHEaZcbV!#"%$V$;dCGM8W<O0-(C2FKe(+& \V(a<O0-(C26&U(+>X$?*-$Y5P<D>7(C2f8;2#E6"%(+*-$1EC03K[<D>D0gJ=G9<O0-(C2'&-GM2#5h<O0-(C2FKjikEC038+4Q(C2F8Q*HEM$W2FKL0l<UZMm7\n8Q<D>O0po $?*-$?\V$W29<hK[qr8;2#E]<7"%$I:H(+*38;>O0ls78Q<O0-(C2=KAig2%(C2#mtEC038+4Q(C2F8Q*BEM$?2FKL0l<uZT\n8Q<D>O0pov$w*-$W\V$?29<PK[qX8Y>7$ KS$w<1GM:Rbx!#"%$WKS$y$;dCGM8W<O0-(C2FKf5D(C\n:M>O03KS$T<7"%$y5D(9"%$?>7$W29<`8Y2FK7.z$W>z(+&r<7"%$y$w*-$;5P<D>7(C290-5P8Q* KOZ9K[<D$W\{(C2z032#5D(C\]032%4|*,0-4W"+<S}Q.`"90-57"z03K~<D>7$W8W<7$;E'(+2I<7"%$118;>P<D>7$;$Ym9(F57A*-$^=$w*U}/8;KR.z$?*,* 8;K`<7"M$T032#5D(9"%$?>7$W29<z5D(C29<D>O0gJ=G=<O0-(C2FKA.`"90-57"*-$W8+E_<D(8EM$W:%"=8YKL032#4v(+&<7"%$n:H(+*38;>O0ls78+m <O0-(C2FKe8;2#E >7$?*38So;8Q<O0-(+2 (+&<7"%$_5P8Y>7>O0-$W>fEC03K[<D>O0gJ=G=<O0-(C2FKW}.`"C0-57"8Y>7$<D>7$?8Q<D$;E(C2<7"M$ 8;>7+(Q^*-$^=$w*hb_!#"%$(+2=*Z_\V$Y57"=8Y2=03Kt\ (+&~<7"%$]*38Q<P<D$W><uZ9:H$f032#5O*,G#EM$;Ex"%$?>7$n03K`<7"M$ KS5P8W<P<7$?>D032#4'J#$w<h.I$;$W2_5P8Y>7>O0-$W>PKA8Y2#EV*-(C2#4N0l<OGHEC032F8Q*R(C:=<O0-5P8Q*c:%"%(C2#(+2FK;b')2<7"903KK[<OGHEaZ (C2=*Zf*-(/.$7oa5O0l<P8W<O0-(C2v:M>7(F5D$WKtKS$WKW}/.`"%$?>7$z5P8Y>7>O0-$W>Lmt5h8;>D>D0-$?>jKS5P8W<P<7$?>D032#4A8;2#EfKS5O>7$;$W29032#4 8;>7$2%$;4N*,0-4w0gJ=*-$h+N+;//};.10,*,*HJ#$I5D(C2FKL0-EM$?>7$;Ecb <<7"903K@K[<h8+4Q$C}/<7"%$I$YdCGM8Q<O0-(+2FKj8;>7$I4w0^9$W2]032]<D$W>D\nK(+e4Q$W2#$?>D0-5KS$N<(+&JF8;KL03Kj&-GF2#5Lm <O0-(C2FK;b_!#"%$Z5h8;2$?8;KL0,*ZxJ#$TKt:H$;5O0,H$YE&U(C><7"M$n032#EC0^C0-ECGF8Y*rKOZ9K[<D$W\nKI032+^=$WK[<O0-4w8Q<D$;E "%$W>7$=b!H"M$_K[<P8W<7$?KT8;2#E5D(C>D>7$WKt:H(C2%EC032#4_dCGM8;29<OGF\ 2=GM\TJ#$?>PKW}@8;2F8Q*Z+<O0-5e&U(C>D\nKV(+& \n8Q<D>O0po`$?*-$?\V$W2C<PKr8;2#E`:H(CKtKL0gJ=*-$@KL03\n:F*,0,H5h8Q<O0-(C2=K@ECGH$<7(KPZ9\n\V$N<D>D0-$?KX&)(C>0-EM$W8Q*=8Y2#E EC03KS(C>7EM$W>7$YEn/9.10,*,*HJ#$I4N0^=$?2n032f<7"%$1>7$?Kt:H$;5P<O0^9$KS$;5h<O0-(C2FK;b !#"=>7(+GH4?"%(+G=<<7"C03Kj.I(C>[%}C:M>7(C:M8+4w8Q<O0-(C2v$?B$Y5P<PKj.10,*,*J#$2#$;4N*-$;5h<7$;Ecb!#"%$`K[<D>OGH5P<OGM>7$?K 8;>7$n8;KtKLGM\v$;E<D(_J#$V(C:=<O0-5h8Y*,*Z<7"9032}0hb,$FbV<7(J#$T\]G#57" K"%(+>O<D$W><7"=8Y2_<7"%$V(C:=<O0-5h8Y* .8W^9$6*-$W2%4N<7"Bb K&k8Y>8YKKLGM:H$W>O*38Q<P<O0-5D$WK18Y>7$]5D(C2#5D$W>D2#$;E}H<7"903K\]0-4W"+<J#$]EM(+G%J9<O& GF*hb )2z<7"%$|<h.z(FmtEC03\V$?2FKL0-(C2F8Q*9*,03\f0l<(+&H$w*-$;5P<D>7(+2=0-5P8Q*,*Z6GM2#5D(+GM:F*-$YE'\fGF*l<O03:F*-$;mtdCGM8Y29<OGM\Vm .z$?*,*K[<D>DG#5P<OGM>7$WKW}a.`"%$W>7$<7"%$'(+2=*Zf0329<7$?>P8+5P<O0-(C2J#$w<h.I$;$W2EC0,B$?>7$W29<X.z$w*,*3K03K¡\V$;EC0-m.
(32)
(33)
(34) !"# $%&. a. W8 <7$;E`<7"=>7(+G#4W"<7"M$$?*-$Y5P<D>7(C\n8a4?2#$N<O0-5~#$?*-Ee(+&F:%"%(/<7(C2FK$?\]0l<P<7$YEz&->7(C\ (C2%$j.z$?*,*=8;2#E 8;JFKS(C>[J#$YEA032z8Y2#(a<7"%$?>N}W:M>7(C:M8a4?8W<O0-(C2'$wB$Y5P<PKX"=8?^=$|J#$;$W26(9JFKS$W>u^9$;EV(')M}'/YCbX)21<7"%$ <7"=>7$Y$|EC03\V$W2FKL0-(+2F8Y*/*,03\f0l<(+&CJ=GF*g¡KS$W\]0-5D(C2#ECG#5P<7(C>PKW}W:M>7(C:M8a4?8W<O0-(C203K8Q*3KS(+2%(/.2<7( "=8?^=$8A57$?>O<h8Y032'03\n:M8+5h<( '%'N* ',+C/}/J=G9<R(C2=*Z032f(C:=<O0-5h8Y*,*Z<7"90-5DKt8Y\n:F*-$WK;bXI(/.I$^9$W>S} KS(`&k8Y>B<7"%$?>7$"=8;KJ#$;$?262#(`>7$W:H(C>P<~(C2]$7oa:H$W>O03\V$?29<P8Q*#$^C0-EM$W2#5D$&U(C>8AK[<D>7(C2#403\n:M8+5h< (+&B:M>7(C:M8a4?8W<O0-(C2$?B$Y5P<PK032$?*-$Y5P<D>7(C2=0-5h8Y*,*Z_5D(+GM:F*-$;Ev\]GF*l<O03:F*-$;mtdCGF8;29<OGM\vmP.z$?*,*KOZ9KSm <D$W\nK;.b -2#$I>7$W8;KS(+2v&)(C>r<7"C03KW}903K¡<7"=8W<X<7"%$'EM(C\]032F8Y29<|57(+GF:F*,032#4IJ#$w<h.z$Y$W2T<7"%$A.z$w*,*3K "%$?>7$'03K<7"M$e$w*-$;5P<D>7(+2=0-5P8Q*~(C2#$z8;2#ET2#(a<<7"M$f(C:=<O0-5h8Y*B(C2#$Fb 2%(a<7"%$W>@\]8WZJ#$+}M<7"=8W<S} 8YK.10,*,*9J#$@K"%(;.2`*38W<7$W>S}+$7oa57$?:=<c&U(C> K[<D>7(C2%4@$?*-$;5h<D>7(C2=0-55D(+GM:F*,032#4¡il.10-EM$@\]032=0gJF8;2%E9K[q \V(+K[<(+& <7"%$z:%"+Z9KL0-5PK1(+&~/96\n8WZJ#$.z$w*,*EM$?KS5D>O0gJ#$;E].A0l<7"9032Kt8;\]:F*-$WKA2#(a<j\]GH57" *-(C2%4Y$?>@<7"98;2V8/J#(+G=<<7$?2v.z$w*,*3K;bA!#"%$`*-$W2#4S<7"(a&KLG#57"86>7$;ECG#57$YEK[<D>DGH5h<OGM>7$03KGMKLGHm 8Q*,*Z2%(a<1\]GH5D"\V(C>7$n<7"98;02 /21315476 }c.`"C0-57"x03K'K"%(C>P<7$?><7"=8;2 "98Y*,&j8T.8W^9$?*-$?2#4N<7" (+&*,0-4W"+<¡.10l<7"$?2#$W>74Z_5O*-(CKS$'<D(v<7"%$6& GM2#E98;\v$W29<h8Y*4?8Y:RbT9(C>¡KOZ9K[<D$W\nK.10l<7"V.10-EM$?> \]03290gJF8;2#E9KW}#"90-4?"%$W>@2=GF\TJ#$W>PKA(+&c:H$W>O0-(FE9K|\]GMK[<@J#$e5D(C2FKL0-EM$?>7$;E}%J=Gc}M"%(;.z$^=$W>S}=<7( (9J9<h8Y032e.A0-EM$JF8;2%E9K<7"%$/9`:H$?>D0-(=E68Y*3KS(6\]GMK[<rJ#$AK"%(C>P<7$W>S}/KS(z<7"98Q<~<7"903K@>7$?\n8Y032=K \V(+>7$z(C>*-$WKtK^a8Y*,0-Ee&U(+><7"M(CKS$AK[<D>OGH5P<OGF>7$WKj8YK.z$?*,*hb 8:9<;. =?>A@CBEDFHGJIBK>AIC>.IMLON. >QPSRUTWV:IYXZF[B2GJIS\. #! "%$v18Y\]0,*l<7(+2=038;2^] &)(C>j<7"%$]$w*-$;5P<D>7(+2=0-5KOZ9K[<7$?\ (+&8nKS$W\f0-57(C2%ECGH5P<7(+>N}H032%5O*,GHEC032#4 :H(CKtKL0gJ=*-$0329<D$W>D2F8Y*(+>r$7o;<7$?>72F8Q*F:H(a<D$W29<O038Q*3K`_ (+&F<7"M$<UZ9:H$WKr032C^=$?K[<O0-4?8W<7$;Ee"%$W>7$8;2#E <7"%$0329<D$W>P8a5P<O0-(C26.A0l<7"e8I5O*38YKtKL0-5P8Q*M*,0-4W"C<~H$?*-E'8;2#E`.10l<7"e:%"M(C2#(C2FKr\n8?ZeJ#$8;>D>P8;2#4Q$;E 8YK<7"%$1KLGM\ (a&%<h.I('<7$?>7\nbK a ]dce]gfihj]
(35) k2l i 'Mb3Wq ]nm@EM$WKS5D>O0gJ#$WK<7"%$1JF8;>7$`5P8Y>7>O0-$W>rKOZ9K[<D$W\8Y2#Ee0l<PKj0329<D$W>P8a5P<O0-(C2f.10l<7"e<7"M$*,0-4?"Co< a ]gfpce]qShj]
(36) rsutwv3hj]
(37) rvl i 'Mxb '?q )2f<7"C03K5P8YKS$C} ]yq7c`]
(38) qz hj]
(39) q{ cS|}] z~ h_n x $z h_ z x z h] {~ h_n x { h_ zx x { cA z w$ bh { . i'Mbx?q.
(40) '. Z < "(. "< Hu&. 30 K<7"%$]KL032#4N*-$;m7:M8Y>O<O0-5P*-$18Y\]0,*l<7(C29038;2x&)(C>1$w*-$;5P<D>7(C2=Kz8;2#E_"%(+*-$?K;bg] ~z {
(41) 5D(C\n:M>O03KS$WK <7"%$'a032%$w<O0-5$?2#$W>74Zv8Y2#ET<7"%$I:H(a<D$W29<O038Q*B(+& <7"%$`GM2%EC03K[<OGM>[J#$YEn*38W<P<O0-57$I&U(+>¡$?*-$Y5P<D>7(C2FK i "%(+*-$?K[qLb)2<7"C03K K[<OGHEaZ@<7"%$~0329<7$?>72F8Q*Q:H(a<7$?29<O038Y*3K[_ x z {
(42) x c.10,*,*;J#$~<7"%$57(+2=M2#$?\V$W29< :H(a<7$?29<O038Y*3Kn(+&|"M$w<7$?>7(CK[<D>OGH5P<OGM>7$?Ke8Y2#E <7"%$$7o;<7$?>72=8Y*:H(a <7$?29 <O038Y* _ x z {
(43) z .10,*,*jJ#$ 4w0^9$W2VJaZf86"M(C\V(F4Q$W2#$Y(+GMK$w*-$;5P<D>O0-5j#$?*-Ecb i qB8Y2#E i qB8;>7$1<7"%$18;2F2=0g"C0,*38Q<O0-(C2 ik5D>7$?8Q<O0-(C29q(C:H$?>P8Q<D(C>PK|(+& $? *-$Y5P<D>7(C2FK@8Y2#E]"%(+*-$?K.10l<7"e<7"%$dCGM8Y29<OGM\2=GF\TJ#$W>PK 8Y2#E bA!#"%$edCGM8;29<O0l<O0-$?K z i { qEM$W2#(/<7$`<7"%$'\]8Q <D>O0pov$?*-$?\V$W2C<PKI(+& ] qz {
(44) 032y8T4Y$?2#$W>O0-5 JF8;KL03K(+&HKL032#4N*-$;m7:M8Y>O <O0-5O*-$1 K[<P8Q<D$WK z x z i { x { qLb ]
(45) rsutwv=EM$WKS5O>D0gJ#$?K<7"% $ (aGF*-(C\TJ]0329<D$W>P8a5P<O0-(C52 a ]yrsutwv%c. .10l<7". /. & u"!"# & "! u"!u"#%$ / h # ! ! # $ & w ' ($. "# ! # *). i'Mb +aq. i 'Mb3?q I$W>7$+}X<7$?>7\]Ke2%(a<'57(C2=KS$W>u^C032#4T<7"M$2=GM\TJ#$?>e(+&¡$?8+57" 5h8;>D>D0-$?>`<uZ9:H$i,03\n:M8+5P<I0-(C2=0-m Kt8Q<O0-(C2V8;2%E GH4Y$?>@>7$;5D(C\TJ=032F8W<O0-(C29q~8;Kj.z$?*,* 8YK¡<7"%$032C<7$W>7JF8;2%Ey$7o+5D"=8;2#4Q$`0329<7$?>P8+5Lm <O0-(C2"=8?^=$6J#$;$W2y2#$;4N*-$;5P<D$;EcbI!#"903KA\V(C2#(+:H(+*-$;m7\V(+2#(C:H(+*-$z8;:M:M>7(No/03\n8W<O0-(C2 ( 'aQ`03K 6 GMK[<O0,H$;Ey032<7"%$n5h8;KS$?KI>7$;4w8;>7EM$YE"%$W>7$+}."%$W>7$6<7"%$]$7o+5O0l<D(C2J=032#EC032#4]$?2#$W>74Zi3*-$WKtK <7"=8;2')687 $ qB03K¡Kt\n8Y*,*0325D(C\n:M8Y>D03KS(+2T<D(6<7"%$&-GF2#E98;\V$?29<P8Q*B4w8;:ig\V(C>7$<7"=8Y2v8;:Hm :M>7(No/03\n8Q<D$?*Z /97 $ q'('(:/Cb)2x8aEMEC0l<O0-(C2 }<7"%$vEC03:H(+*-$;mtEC03:H(a*-$]032C<7$W>P8a5P<O0-(C2xJ#$w<h.z$Y$W2 $7o+5O0l<D(C2FK.`"C0-57"n8;>7$*-(F5P8Q*,0lst$;E]032VEC0,B$?>7$W29<~.z$w*,*3KeE'4;W03K@8Q*3KS(e2#$Y4w*-$Y5P<7$YEcb !#"%$<D$W>D\ @?BA ?GF ]yrxv c ' =<> zu{ DC h > zu{E/ HC &I i 'M&b :Yq EM$WKS5D>O0gJ#$WKz<7"%$EC03:H(+*-$T032C<7$W>P8a5P<O0-(C2(+&r<7"%$y5h8;>D>O0-$W>IKPZ9K[<7$?\ .10l<7"x85O*38YKtKL0-5P8Q**,0-4?"C< H$?*-E( '(J/ ? ?BA ?GF ? ? F DC c DC h HC c ~ DC 7 LKNM O h ~ HC 7 PKNM2O ) i 'MQb ;wq $. v v v ! v # c,+ -.0/v x 1/v 2- sutwvx5)2- Qv ! x 2- Qv # x l 4$ 3.
(46) .
(47)
(48) !"# $%&. &)(C>c.`"C0-57"`.z$8;:M:F*Z`<7"%$¡>7(a<h8Q<O032#4.8W^9$8;:M:M>7(No/03\n8Q<O0-(+2b~I$?>7$C} > z { 03K<7"%$(+:=<O0-5P8Q* 0329<D$W>7JF8;2#ETEC03:H(a*-$1\n8W<D>D0pof$w*-$W\V$?29<@J#$N<h.z$;$?2V$?*-$Y5P<D>7(C2n8Y2#E]"%(+*-$1K[<P8Q<D$WK > zu{ c > ~ Q z Q{ ) i 'Mb JYq ? ~ DC EM$W2#(a<D$WK<7"%$A8;\n:F*,0l<OG#EM$18;2% E. 1 7 < % " ` $ 7 5 ? $ 29<D>P8Y*%&k>7$YdCGH$W2%5uZv(+&M<7"%$*38;KS$W>rH$?*-Ecb ]yk~03K<7"%$1:%"M(C2#(C2=0-5X:M8;>P<(+&%<7"%$'18Y\]0,*l<7(C29038;5 2a ]
(49) kc0] hj]
(50) r
(51) l i 'MblYq !#"%$1&->7$;$Ym7:%"%(C2#(C2nEaZ92F8Y\]0-5PK@03KEM$?KS5D>D0gJ#$YE]JaZ ] ce ) i 'Mb, )Yq .`"M$W>7$ i q8;>7$`<7"%$65D>7$?8Q<O0- (C2ig8;2F290g"90,*38Q<O0-(C2Cqj(C:H$W>P8W<7(C>PK(+&c8e:%"%(C2#(C2].10l<7"T<7"%$ .8?^=$^=$Y5P<7(C>jJ#$?032# 4 v8;2%E <7"%$65D(C>7>7$?Kt:H(C2#EC032#4A:%"%(C2#(+2EC03Kt:H$?>PKL0-(C2b9(C>jKL03\vm :F*,0- 5O0l<UZ}C.z$A.10,*,* (C2=*Zv5D(C2FKL0-EM$W>8'KL032#4N*-$'EC03Kt:H$W>PKL0-(C2=*-$?KtK¡J=GF*g - :%"%(C2#(C2nJF>P8;2#57" i cc )9q[! b %>7$^C0-(+GFK032C^=$?K[<O0-4?8W<O0-(C2FKVE '(JW* )/'"98W^=$6K"%(/.2<7"98Q<|<7"%$ <D(a<P8Q*¡$?*-$Y5P<D>7(C2#m7:%"M(C2#(C2KS5P8W<P<7$?>D032#4>P8W<7$?Kf032"M$w<7$?>7(CK[<D>OGH5P<OGM>7$?K'.10l<7"KL03\]0,*38Y>nEC0-m $w*-$;5P<D>O0-55D(C2FK[<h8;29<hK¡032n.z$?*,*3K8;2#ETJF8;>D>O0-$W>PK|8;KW}F&U(+>@$7oY8;\n:F*-$+}M032T<7"% $ "$# &% f F "' ' "$#)( % f F (*"'KPZ9K[<7$W\ K[<OGHEC0-$YE1"%$?>7$C};5P8Y2IJ#$KL,G +y5P0-$W29<O*Z8;:M:M>7(No/03\n8W<7$;EGMKL032#4X<7"M$WKS$ 8YKtKLGM\n :=<O0-(C2FK;br/032=8Y*,*Z} ]yr
(52) j03K<7"%$I5h8;>D>O0-$W>Lm7:%"%(C2#(C2e0329<7$?>P8+5P<O0-(+2P+9K} '(J/ a ]
(53) r
(54) c. . . <.- z w h - zH/ K &I u u h < - { b , h - E{ / b I l . i 'Mb,aWq !#"%$@dCGM8Y29<O0l<O0-$WK - 8;>7$X<7"%$\n8W<D>D0po$w*-$W\V$?29<PK(+&;<7"%$:%"%(+2#(C2$w*-$;5P<D>7(CK[<h8Q<O0-5:H(a<7$?29<O038Y* 4N0^=$?2vJaZxE'(J/ 10 2 10 2 u f f - z c - ~ z 7 z ) - { c - ~ { 7 { ) i 'Mb, '?q / / f@?k k43 65 K&7 f f - ~ c < z8 { 9 ' I l i 'Mb, ?q :<; :4=*> I$?>7$C} AB8Y2#CE ADrEM$?2#(a<7$1<7"M$e(+:=<O0-5P8Q*8;2%EvK[<P8W<O0-5|EC0-$?*-$;5h<D>D0-557(C2=K[<P8;2C<PK1(a&<7"%F$ E$?&Um &)$;5P<O0^9G$ EFi "%$w<D$W>7(CK[<D>OGH5P<OGF>7$;mOqc\V$YEC0,GM\}=8Y2#E $ 03K<7"M$12#(C>D\n8Q*,0ls[8W<O0-(C2e^9(+*,GM\V$=b !#"%$?>7$8;>7$|<h.z(`:M>7$w&U$W>P8;J=*-$A57"%(+0-5D$WKr&U(C> <7"%$j.18W^=$¡& GM2#5P<O0-(+2F0K zbB!#"%$@M>PK[<(C2#$¡03K~<7( 57"M(F(CKS$<7"M$W\8YK$?0-4Q$W2FK[<h8Q<7$?K(+&#<7"M$<7(/<P8Y*M032C<7$W>D2F8Q*H:H(/<7$W2C<O038Y*a ? ? ? < ] z { h_ x z ? { I
(55) z ? { z ? { cHAz ? {N Iz ? { x z ? { l i 'Mb,b +aq.
(56) b+. Z < "(. "< Hu&. !#"%$6KS$Y57(C2%E(C2#$I? 03K<7(V57"%(F(CKS$I<7"%$W\ 8;K`$w0-4Y$?2FK[<P8W<7$WK`(a&B<7"%$`<7(/<P8Y*cKL032%4w*-$':M8;>P<O0-5O*-$ 18;\]0,*l<D(C2=038Y2 ] qz { }C8Y*3KS(z032#5O*,GHEC032#4<7"%$I$7o;<D$W>D2F8Y*%:H(a<D$W29<O038Q*a ? ? ? < ] z { h_ x z ? { h_ zx x z ? { I
(57) z ? { x z ? { c Aoz ? {N
(58) z ? { z ? { l i 'Mb,+?q (/<7"57"%(a0-57$?K1"=8W^9$]5D$W>P<P8Y032y8+Ea^+8Y29<P8a4Y$?K; b y"90-57"_(C2%$f(+G#4W"C<<7(TJ#$z&-8W^9(+GM>7$;EyEM$;m :H$W2#E9KA(C2n<7"%$<uZ9:H$6(+& _ z 8;2%E].`"=8W<dCGM8Y29<O0l<O0-$WK8;>7$`<7(nJ#$`032C^=$?K[<O0-4?8W<7$YEcb1 &c<7"M$ $7o;<7$?>72F8Q*r:H(a<7$?29<O038Y*r03KI.z$W8; 8;2%E\]8WZJ#$T<D>7$W8W<7$YE8YK68:H$W>P<OGM>[JF8W<O0-(C2 }B<7"M$vM>PK[< 57"%(+0-5D$\n8WZx*-$W8aE<7(x82=GF\V$W>O0-5P8Q*,*ZKL03\n:F*,0-$W>I<D>7$?8Q<D\V$?29<?b9(C>zK[<D>7(C2%4$7o;<D$W>D2F8Y* :H(a<7$?29<O038Y*3KW}a<7"%$KS$;5D(C2#ET(C2#$.10,*,*U}9032n\v(CK[<5h8;KS$WKW}=J#$1\V(C>7$A8;:M:M>7(C:M>O038Q<D$Fb &<7"%$v$7o;<7$W>D2F8Q*~:H(a<D$W29<O038Q*~8;2%E}c<7"%$?>7$?&U(+>7$C[} ] qz ? { 03K<O03\v$EM$?:H$W2#EM$?29<S}8YK`&U(+>1$7o9m 8;\n? :F*-$e032y<7"M$]5h8;KS$T(+&8;28Y:M:F*,0-$;Ey8Y*l<D$W>D2F8Q<O032#4f$?*-$Y5P<D>D0-5H$w*-E}H<7"%$]$w0-4Y$?2FK[<P8W<7$?K'(+& ] qz { DC 8Y>7$8Y*3KS(z<O03\V$zEM$W:H$?2#EM$W2C<?b)2n8'5P8Q*-5OGF*38W<O0-(C2(a&#<O03\V$IEM$W:H$W2%EM$W29<j(9JFKS$?>u^Mm 8/J=*-$?K032V<7"%$?KS$'K[<h8Q<D$WKW}M8;K<7"M$z:H(a*38;>O0ls[8W<O0-(C2 }F0l<.z(aGF*-EVJ#$z2#$;5D$WKtKt8Y>uZT<7(V5h8Y*-5OGF*38W<7$ <7"%$]K[<P8W<7$WK`8;2#Ey<7"%$v57(+>7>7$?Kt:H(C2#EC032#4e\]8Q<D>O0po_$?*-$?\V$W2C<PK'8Y&g<7$?>$W8a57" 57"98;2#4Q$y(+&~<7"M$ :H(a<7$?29<O038Y*hb!#"903Kj\]8WZf"%(;.z$^=$W>rJ#$Y57(C\v$I$7o;<D>7$W\v$?*Z'<O03\V$`57(+2FKLGM\]032#49bR!H"M$W>7$?&)(C>7$C} 0l<j03K(+& <D$W2v:M>7$?&)$W>P8;J=*-$`<D(e<D>7$W8Q<r<7"%$?KS$'/032#E9K(+&c:M>7(9J=*-$?\nKj.10l<7"9032T<7"%$<O03\V$`032#EM$;m :H$W2#EM$?29<j$?0-4Q$W2=K[<P8Q<D$WK(+& ] ~ h_ Cb 8:9 8. WV:>. F[B2GIS\ G. G F[B2GJI. 9 (+*,*-(/.A032#4@K[<h8;2#E98Y>7E:M>7(F5D$;ECGM>7$?KAP+9} 'a9}'(:M}/w%Q/}?0l<c03K~K[<D>P8Y0-4?"C< &)(C>h.8;>7E<7(AKS$w< GM:]<7"%$`$;dCGM8W<O0-(C2FK(+&#\V(a<O0-(+2FKj&U(C>R<7"M$A0329<D$W>7JF8;2#Ef:H(+*38Y>D0ls78W<O0-(C2FK i 'Mb,% :Yq c
(59) ) / c $ 8;2#E6<7"M$I$?*-$Y5P<D>7(C2T8Y2#E]"%(+*-$`EM$W2FKL0l<UZMm7\n8Q<D>O0poe$?*-$?\V$W2C<PK u *c w ) c b l i 'Mb, ;wq !#"%$1EC038+4Q(C2F8Y*M$?*-$?\V$W2C<PK¡(+&9<7"%$A$?*-$Y5P<D>7(C2]i "%(+*-$NqEM$?2FKL0l<uZz\n8Q<D>O0poI4w0^9$¡<7"%$A$?*-$Y5P<D>7(C2 i "%(+*-$Nq(F5D5OGM:M8Q<O0-(+2x:M>7(9JF8;J=0,*,0l<O0-$WK;b $?2#$W>P8Q*,*Z}rECGH$n<D(y<7"%$]*-(CKtKe(a&X<D>P8Y2FKL*38Q<O0-(+2F8Y* 032C^+8Y>D038Y2#5D$C}<7"%$EM$?2FKL0l<uZ\n8Q<D>O0-5D$WK]8Q*3KS(57(C2C<P8Y032(+cEC038+4Q(C2F8Y*@$?*-$?\V$W2C<PK;b !#"%$?KS$ 0329<D>P8/JF8Y2#E:H(+*38Y>D0ls78Q<O0-(+2FKVEM$WKS5O>D0gJ#$y<7"%$x5D(9"%$?>7$W2#5D$xJ#$w<h.z$Y$W2 EC0,c$W>7$?29<n$?*-$Y5P<D>7(C2 i "%(+*-$NqK[<P8Q<D$WK;b.
(60) +. ! &W 7 $%. ) 2I<O03\V$EM$W:H$?2#EM$W29<X18Y>O<D>7$Y$;m9(=57A8;:M:M>7(No/03\n8Q<O0-(+2 }?<7"M$$;dCGM8W<O0-(C2FKr(a&F\V(a<O0-(+2`&U(+> } 8Y2#E ECG#$6<7( ]gf8;>7$e<7"%$fKS$?\]0-5D(C2#ECGH5P<D(C> M*-(F57" $;dCGM8W<O0-(C2FKP+9}o'a9}o'(:/+b !#"%$ZeEM$WKS5D>O0gJ#$|<7"%$A5D(9"%$W>7$?29<8Y2FK7.z$?>r(+&=<7"%$$?*-$;5h<D>7(C2=0-5XKPZ9K[<7$?\(+2f$7o+5O0l<h8Q<O0-(C2FKJaZ *,0-4?"C<?br)2f<7"%$`4Y$?2#$W>O0-5JF8;KL03K@K[<h8Q<7$?K<7"%$Ze8;>7$ a. .`"M$W>7$. . . {
(61) h &z hA | ' ' c / z ! z # ! # ' ! ! # # C h / ' / ) c / { ! { # ! # ' ! ! # # C hA / & ' &/ & ) & . C. c. /. . ). i'Mb,%JYq i'Mb,;Yq i'Mb')Yq. i'Mb'/Wq. i'Mb '%'?q ?A i'Mb '%?q HC ' l $ I$?>7$C}G z {
(62) 03Kc<7"%$@KS$w*,&Umt$?2#$W>74Z1\n8W<D>D0poAECGH$r<7(<7"%$|$?*-$Y5P<D>7(C2#mt$w*-$;5P<D>7(C2'i "%(+*-$Ym["%(+*-$Nq 0329<D$W>P8a5P<O0-(C2 }{03KA<7"%$e0329<7$?>72=8Y*-mDH$w*-E\n8Q<D>O0poyECGH$6<7(V<7"%$T$w*-$;5P<D>7(+2#m["%(+*-$f0329<D$W>P8+5[m <O0-(C2}C8Y2#E EM$?2#(a<D$WK<7"%$A>7$W2#(C>D\n8Q*,0ls$YEeH$?*-Ecb !#"%$`>7$?KLGF*l<PK(+&<7"903K5D(9"%$W>7$?29<:M8;>P<|(a&H<7"%$'$YdCGM8Q<O0-(C2=KA(+&\V(a<O0-(C2 }98;K(9J9<P8Q032#$;EnJaZ 8Y:M:F*ZC032#41<7"%$f18;>P<D>7$;$Ym9(F57]8Y:M:M>7(No/03\n8Q<O0-(C2}F8;>7$I032#EM$W:H$?2#EM$W29<¡(+&<7"%$657"%(a0-57$f(+& >7$?:M>7$WKS$W2C<P8Q<O0-(+2b 57"98;2#4Q$J#$w<h.z$Y$W2<h.z(¡>7$?:M>7$WKS$?29<P8W<O0-(C2FK~i3&U(C>$7o;8Y\n:F*-$J#$w<h.I$;$W2 <7"%$K[<h8Q<7$?K(CJ9<P8Y032%$;EAJaZ$;dCGM8W<O0-(C2Ii 'Mb,b +aq=8Y2#E<7"M(CKS$j(9J9<h8Y032#$YE1J/Z`$YdCGM8Q<O0-(C2Ii 'Mb,+?qkq \n8?Z1J#$8+57"C0-$^9$;E1JaZ8;:M:F*ZC032%4R<7"%$GM2=0l<P8Y>uZ¡<D>P8;2FKL&)(C>7\]8Q<O0-(C2 5D(C2F2#$Y5P<O032#4<7"M$<h.z( >7$?:M>7$WKS$W2C<P8Q<O0-(+2FK<7('<7"M$`$YdCGM8Q<O0-(C2=K;b !#"%$e2%$7o;<|K[<7$?:032#5O*,GHEM$?KA<7"M$68+EMEC0l<O0^9$]5D(C29<D>O0gJ=G=<O0-(C2FK032y<7"%$]EaZ92F8Y\]0-5A$;dCGF8Q<O0-(C2FK z c. h z H { c { h ?BA c ' > zu { . z c z ' { c { ' DC h J c. . "! .#4$ !# $ > u z { '. "!u u"# "!u"#9) # ! ! #).
(63) %:. Z < "(. "< Hu&. CE GH$`<7(f<7"%$z032C<7$W>P8a5P<O0-(C2J#$N<h.z$;$?2_5h8;>D>D0-$?>PK8;2%E(C:=<O0-5h8Y* :%"%(+2#(C2FK8;K\V(=EM$?*-$;EVJaZ <7"%$<D$W>D\ ]
(64) kR032$;dCGM8W<O0-(C2Vi'Mb,WqLb !#"%$v:%"%(+2#(C2#mD0329<D$W>P8a5P<O0-(C25D(C29<D>O0gJ=G=<O0-(C2=K`032 <7"%$$;dCGM8W<O0-(C2FKe(a&\v(a<O0-(C2 &)(C> } 8;2#E ECGH$¡<7:( ]
(65) kB*-$W8aEz<D(z8"90-$?>P8;>757"aZ](+&5D(+GM:F*-$YE]EaZ92F8Y\]0-5^a8;>O038/J=*-$?KW};."90-57"e"=8;K <7(]J#$`JF>7(C+$W2T8W<8657$?>O<h8Y032(C>7EM$W>ji3032n<7"%$10329<D$W>P8a5P<O0-(C2v:H(a<7$?29<O038Y*lq[b|) 2]<7"%$:M>7$WKS$?29< 8;2F8Q*Z9KL03KW}=:%"%(C2%(C2#m78;KtKL03K[<D$;EnEM$?2FKL0l<uZf\]8Q<D>O0-57$?KA(+&%<7"%$&U(C>D\ K"=8Y*,*#2#(/<J#$ <D>7$W8W<7$;E8YK 8+EMEC0l<O0-(C2=8Y*;EaZ92F8Y\]0-5M^+8Y>D038;J=*-$WKW}w8;K<7"C03KH.z(+GF*-E¡*-$?8+E|<7($7o;<D>7$W\V$w*Z|<O03\V$;m 57(+2FKLGM\]032#4T2#(C2#m 8Y>[a(Y^C038Y25P8Q*-5OGF*38W<O0-(C2FK;bI$W2#5D$C}R<7"%$T8;:M:M>7(C8a57" 03K'>7$WK[<D>O0-5P<D$;E <7(T<7"M$'<h.z(Fm7:M8Y>O<O0-5O*-$fEM$W2FKL0l<UZ\n8Q<D>O0-5D$WK } 8;2#E J/Z$W\n:F*-(QZC032#4I<7"%$ 8Y>[+(Q^ 8;:M:M>7(No/03\n8W<O0-(C2( ,+;* (:/Cb )2$^+8Y*,GF8Q<O032#4<7"%$z$;dCGF8Q<O0-(C2FK(a&\V(/<O0-(C2n8;2%Ef8;:M:F*ZC032#4<7"%$ 8Y>[+(Q^e8Y:M:M>7(wo/03\]8+m <O0-(C2 }=(C2#$`(9J9<P8Q032FbK a . . C. . &. . c '. . . . . . # z !
(66) r
(67) h ! ! f # !# - { / ! z r
(68)
(69) h h - zDu/ & ! ! . . !. . . . . . - zD / . . - E{ / . i'Mb',+aq. r
(70) . ! {
(71) ) . . c ' C A ! # z r
(72)
(73) f
(74) r. A f _ "! "# # ! ' ! ' _ " uz "!"#u
(75)
(76) # ! F f z r
(77)
(78) F f
(79) . r. hA_ ! # "! "# ' "#u ' _ z ! #
(80)
(81) & "#"! r
(82) A r
(83) F h z
(84)
(85) ' / z
(86)
(87) ./ ). . . . . .10l<7". r
(88) . # { !
(89) . . ' ' "#"! . . . . - z # ! - zD / A z # ' A z ! / / / / x4 h # ' # he4 h # ) r
(90). _ & z ""!
(91) " #
(92) c 87 - z - zD! / # 6 - z - zH! / # # / / A ! ' A # 6C x4 h 6 ) x6 c / r
(93). z
(94) H
(95) c 6 - z - {E / A { ' A { ' / ) . r.. # z !
(96) c`. . .
(97). . . . . . . . . . . . . i'Mb'(:Yq. . .
(98). i'Mb'a?q.
(99). . i'Mb'4;wq i'Mb '(JYq.
(100) ;. ! &W 7 $%. 8Y2#E. i 'Mb'YYq .`"M$W>7$ EM$W2#(/<7$WK<7"%$f:M>O032#5O03:M8Q*B^a8Y*,GH$=bT!#"%$T5D(C>7>7$?Kt:H(C2#EC032#4f$;dCGM8W<O0-(C2FK1&U(C>|<7"%$ "%(a*-$WK¡8;>7$z(9J9<h8Y032#$YEf&k>7(C\ <7"%(+KS$A&U(+>X<7"%$I$?*-$;5h<D>7(C2FK¡JaZ]:H$W>O&U(+>7\]032%4<7"%$A&U(+*,*-(/.A032#4 KLG%JFK[<O0l<OG9<O0-(C2FbK a )E )7 i 'Mb )Yq !#"%$I:%"+Z9KL0-5h8Y* :F0-5h<OGM>7$zJ#$Q"9032#Ef<7"%$ 8;>7+(Q^T8Y:M:M>7(No/03\n8Q<O0-(C2n03K|<7"=8Q<|(C2#$`8YKtKLGM\V$?K <7"%$V5h8;>D>D0-$?>PKIK[<P8?Z032_<7"%$?03>AK[<h8Q<7$f&)(C><7"%$vECGM>P8W<O0-(C2 (a&X8VKS5h8Q<P<D$W>O032#4]:M>7(F5D$WKtKW} 0hb3$=b 8W<X*-$W8;K[<X&)(C>R<7"%$<O03\V$z5D(C>7>7$?Kt:H(C2#EC032#4¡<D(z<7"%$:%"%(C2#(+2v$W2%$W>74Z e^C038<7"M$<O03\V$Ym $?2#$W>74ZGM2%57$?>O<h8Y0329<UZ_>7$?*38W<O0-(C2ig8/J#(+G9< 1 1 'A&)(C> 8 K[qLb -r&57(+GF>PKS$C}<7"903K03Kz(C2=*Z <D>OGH$I0,&<7"%$?KS$'K[<h8Q<7$?KA8;>7$f$?0-4Q$W2FK[<h8Q<7$?K`(+&c<7"%$I<D(a<P8Q*18;\]0,*l<D(C2=038Y2 ]bIY"M(+GF*-ET<7"903K 2#(/<cJ#$r<7"%$|5P8YKS$C}?<7"%$|5P8Y>7>O0-$W>PK Ep\V(Q^=$ Ew&k>7(C\(C2%$jK[<h8Q<D$j0329<D(A8Y2#(a<7"%$?>BECGH$<7(¡<7"%$8+5[m <O0-(C2I(+&Y<7"%$:H(a<7$?29<O038Y*3KB2#(a<#032#5P*,GHEM$;E032A<7"M$:M8;>P<c(a&;<7"%$¡18;\f0,*l<7(C2=038Y21<D(|.`"90-57"<7"%$ EpKR8Y>7$$w0-4Y$?2FK[<P8W<7$WK;b~9(C>$7o;8Y\n:F*-$C}W0,&a<7"% $ EpK8;>7$ %*-(F5D".8?^=$?K 5D(C>D>7$WKt:H(C2#EC032%4 <D(f8;2nGM2#EC03K[<OGF>[J#$YE]J=GF*geKS$?\]0-5D(C2#ECGH5P<D(C>8Y2#nE _ zx 03K|8'K[<P8Q<O0-5h8Y*,*Zn8;:M:F*,0-$YEn"%(C\V(Fm 4Q$W2#$Y(+GMKz$?*-$Y5P<D>D0-5H$w*-E}<7"%$n5h8;>D>D0-$?>PK8Y>7$TE9>D0^9$W2y<7"=>7(aGH4W"v<7"%$ %>D0-(+G=*,*,032st(C2%$eJaZ <7"%$@H$?*-E}W."%$W>7$WJaZ<7"%$|K[<D>7(+2#4Y$?><7"%$@H$w*-E`03KR<7"%$|&k8YK[<7$?> <7"M$Z`8Y>7$E9>O0^=$W2Bb 5D57(+\Vm :M8Y2=0-$;E'JaZ<7"903K57"=8Y2#4Q$A(+&FK[<h8Q<7$@03K85D"=8;2#4Q$A(+&C<7"%$A57(+>7>7$?Kt:H(C2#EC032#4¡$W2#$?>74SZcb~ &=<7"%$ H$w*-E03KIK[<D>7(C2%4n$W2#(aGH4W"}8VKL0l<OGM8Q<O0-(C2\n8?Z J#$]>7$W8+5D"%$;E.`"M$W>7$C}.10l<7"9032_<7"%$TKS5h8Q<Lm <D$W>O032#4<O03\v$C}/<7"%$`5h8;>D>O0-$W>"=8;K¡5D"=8;2#4Q$;E6<D(68K[<P8W<7$¡.10l<7"]8;2T$W2#$?>74SZ6\]GH57"VEC0,c$W>O032#4 &->7(C\ <7"%$(C2%$yEM$W\]8;2#EM$YEJ/Z_<7"%$$W2%$W>74Z5D(C2FKS$?>u^C032#4 mD&-GF2#5P<O0-(C2x032<7"%$v8/J#(Q^=$ $YdCGM8Q<O0-(C2=K;bf)2yKLGH57"8v5h8;KS$+}H<7"%$]5h8Y*-5PGF*38Q<D$;E_KS5h8Q<P<D$W>O032#4`<O03\V$WK.10,*,*J#$;5D(C\V$I^=$W>uZ EM(+GMJ9<O&-GF*hb )2`(C>7EM$?>%<D(¡>7$;ECG#57$X<7"903K$?>7>7(+>N}S0l<#03K 2#$Y57$?KtKt8;>uZ<7(5D"%(F(CKS$R<7"%$rK[<P8W<7$?K 8YKB8aEM$;dCGM8W<7$ <D(<7"M$f:M>7(9J=*-$W\ 8;K`:H(CKtKL0gJ=*-$C}0hb,$=bn<7(V032#5P*,GHEM$T8YK`\]8;2CZy<7$W>D\nKz(+&R<7"%$V18Y\]0,*l<7(=m 2=038Y2 032 <7"%$?03>z5h8Y*-5OGF*38W<O0-(C28;K':H(CKtKL0gJ=*-$=bx!#"%$?>7$?&)(C>7$C}r4Q$W2#$?>P8Y*,*Z}~<7"%$y$w0-4Y$?2FK[<P8W<7$?K (+Q& ] ~ h _nSh _ zx ik$;dCGM8W<O0-(C2 i 'Mb,+?qkq@.10,*,**-$?8+E <7( >7$?KLGF*l<PK'&U(+>1<7"%$V032%57(9"M$W>7$W2C< 5D(C29<D>O0gJ=G=<O0-(C2FK6.`"90-57" 8Y>7$ $7oY8+5P<D$W>'<7"=8;2<7"%(CKS$(+.& ] ~ h?_ _ik$;dCGM8W<O0-(C2i 'Mb3b +aq-qLb )2 $YdCGM8Q<O0-(C2=K`i 'Mb '(:YqD}ci 'Mb '4;wqX8Y2#E_i 'Mb '(JYq~<7"903K`EM$W:H$?2#EM$W2%57$T(+&c<7"%$e>7$?KLGF?*l<PK`(+2<7"%$ 57"M(+0-57$e(+& >7$?:M>7$WKS$?29<P8W<O0-(C2$?29<7$?>PK@.A0l<7"n<7"M$`KL032#4w*-$I:M8Y>O<O0-5O*-$6$?2#$W>74N0-$WK A z { bj!=>uZC032#4 <D('<D>P8;2FKL&)(C>D\ <7"%$`$;dCGM8W<O0-(C2FKj&k>7(+\ (C2#$A>7$W:M>7$?KS$W29<h8Q<O0-(C2]032C<7(e8Y2#(a<7"%$?>r&-8Y0,*3KW}+KL032#57$ <7"%$A8;>74NGM\V$?29<PK(+&%<7"%$A& GM2#5P<O0-(+2F8Y*3K .A0,*,*H2%(a<rJ#$<D>P8Y2FKL&U(+>7\V$YEn5D(C>7>7$Y5P<O*Zcb
(101). A "DC c. . . ' A h. . . A "JDC ) . . .
(102). .
(103) %J 8:9. Z < "( \ R 7PW>JD2R. "< Hu&. \. +^ 8Y>D0-$N<uZ(+&(9JFKS$?>u^+8/J=*-$?KA\n8WZJ#$f5P8Q*-5OGF*38Q<D$;E&k>7(C\ <7"M$6KS(+*,G=<O0-(+2FK`(+&c<7"%$]$YdCGM8+m <O0-(C2FK@(+&#\V(a<O0-(C2e&U(C><7"M$`EM$?2FKL0l<uZe\]8Q<D>O0-57$?K;bR!#"%$\V(CK[<R0329<7$?>7$WK[<O032#41(C2%$WKj8Y>7$`5D(C2#m 2#$;*5hO <7$;Ez<7(`<7"%$¡<7(a<h8Y*#EC03:H(a*-$A\V(+\V$W 29O < I}Y.`"C0-57"e03KX<7"%$KLGM\ (+&F<7"M$032C<7$W>7JF8;2%Ee:M8;>P< < z 8;2#E6<7"M$A0329<D>P8;JF8;2#Ee:M8Y>O
(104) *O z h *O c i 'Mb /Wq *O z (cA > zu{ / > ' *O <cA > zz bh . . z{ / ) u > {w{ D ). i'Mb%'?q. .10l<7"vi3032C<7$W>LmOqc0329<D>P8;JF8;2#ETEC03:H(+*-$A\n8Q<D>O0pof$?*-$?\V$W2C<PKi > z{ i'Mb&JYqkq > zuz } > {E{ > zz c ' 7. u `z ) > E{ { c ' 7 . Q z . !#"%$A*,032#$?8;>8/JFKS(C>D:=<O0-(C2603K4w0^9$W2vJaZP+Q. . Q{. . Q{ . . l. i'Mb%?q. i 'Mb,+aq .10l<7"<7"%$fJF8a57+4w>7(+GM2#Ey>7$w&k>P8+5h<O0^=$6032#EM$7on4}H$<7"%$eKt:H$;$YE_(+&*,0-4?"C< 8Y2#EV<7"%$n5D>uZ9K[<h8Y* ^=(+*,GF\V$ $ b!#"903K6*,032#$W8Y>e8;JFKS(C>D:=<O0-(C2x03K]8 4Q(F(FE(9JFKS$?>u^+8;J=*-$y&)(C>`*-(;. $7oa5O0l<P8W<O0-(C2 (C2=*Zcb !#"%$W2}~<7"M$v:H(+*38Y>D0ls7? 8Q<O0-(+203Kz*,032#$W8Y>`032 <7"%$y$7o+5O0l<O032#4]H$w*-E8Y2#E_<7"%$?>7$?&U(+>7$ bv)2<7"903KI5h8;KS$+}c&)(C>1$?8+57"&k>7$YdCGH$W2#5UZ } 4w0^9$WK 03K032%EM$W:H$W2%EM$W29<1(+& <7"%$A&->P8+5P<O0-(+2V(+&%<7"%$A032#5D(C\]032%4A0329<D$W2FKL0l<UZ6<7"=8Q<X03K@8;JFKS(C>7:H$YE6:H$?>rGM290l<X*-$W2#4S<7"Bb JFKS(C>D:=<O0-(C2KL0-4?2=8Y*3K'KS$W>u^9$y(C29*Z>7$?*38W<O0^=$?*Zx:H(F(+>032=&U(C>D\n8W<O0-(C2x8;J#(+G=<1>7$w*38No;8W<O0-(C2 :M>7(F5D$WKtKS$WK;bz)2<7"%$WKS$zKt:H$;5h<D>P8Y*cKL0-4w2F8Y*3KW}#>7$?*38NoY8Q<O0-(C2:M>7(=57$?KtKS$WK¡.`"C0-57"*-$W8aEv<7(EC0,&Um &U$?>7$W29<¡EM$;5h8WZn<O03\v$WK&)(C>|EC0,c$W>7$W2C<@:M8;>P<PK(+&<7"%$I:H(+*38Y>D0ls78W<O0-(C2 }=&U(+>¡$7o;8Y\n:F*-$z032C<7$W>Lm \]032=0gJF8Y2#E8;2%E0329<D>P8Y\]032=0gJF8Y2#E>7$?*38So;8W<O0-(C2FK1032 /C=}B(C2=*Zy*-$W8aE<D(8VKt:H$Y5O0,H5*,032#$ .10-E+<7"}W."90-57"z03KEM(C\]032F8W<7$;E'JaZ<7"%$@032=0l<O038Y*,*ZI&k8YK[<7$WK[<B\v$;57"=8Y2=03Kt\ b (C>7$;(Q^=$?>B0l<B03K GMKLGM8Q*,*ZA03\n:H(CKtKL0gJ=*-$X<D(1EC03K[<O032#4wG=03K"J#$N<h.z$;$?2I"M(C\V(F4Q$W2#$Y(+GMKc8;2%E032M"M(C\V(F4Q$W2#$Y(+GMK *,032#$z.10-E+<7"cb1!#"%$'&)(C>7\v$W>(C>O0-4w032=8Q<7$?K&k>7(+\ 8vEM$Y5P8?Z(+& <7"%$]5D(9"%$?>7$W2#5D$603\n:M>7$?KtKS$;E JaZ'<7"M$*,0-4?"C<r:FGF*3KS$=bB!H"M$A*38Q<P<D$W>03K¡5h8YGMKS$YE]JaZ'<7"M$0329<D$W>O&U$?>7$W2#5D$z(+&%GM2#E98Y\n:H$;EfKL0-4Qm 2F8Y*3KR.`"C0-57"f57(C\v$|&k>7(C\>7$;4N0-(C2FK(+&C<7"%$|\n8W<7$?>D038Q*+.10l<7"`KL*,0-4W"C<O*Z6EC0,c$W>7$W2C<B:H(a<7$?29<O038Y* 8;2#Ey<7"%$W>7$w&U(C>7$fKS(+\V$N.`"98Q<`EC0,c$W>7$?29<(+KS5O0,*,*38Q<O0-(C2&k>7$YdCGH$W2#5P0-$WKI8Y2#Ey."90-57"x5P8Y2F2#(a< . . c 6 4 . :? . ) .
(105) ;. %&,5<, $ &. sample. absorption, k1 THz signal. delay. k2 2k2- k1 FWM signal
(106) . "!$#% &')(+*-,%., /0!213*-% &4(+*'5(613*87"9:(;"<=& !>"?. % 7:@. A CBD3EFGHF:IJLKNM$IPOQKRIGSHITU3WVXTYFGEETEJNF3IZIJT[IPO3BD\ET A] "^_B`FLYIN^a "BDT ]cb GK2NM b "BPI "F3I TMBL2d0O_^aTBPIYSTU^_^aTMeTUM+3BF ]] T fgNM+ hIT>^aTM4ITgETi SJ3BjBD"BkTUM_FCBl
(107) A E SJTBDGSTMmKnIN^a3BDS=F ] \FGZopTq
(108) jiHfgF b Gi^sr NM+ YrqE03N^a3MIHBL tuMvBD ] opijKw)HFqSHI TMx :LT^yRIJ-z2{u $3|}+I=fT ~D'u cp l-" . ] FGBD3kE
(109) ] BD"Bg~l4'pP c- " N. FGCouTS
(110) BDGKhoT^IPOQKNGSHI TMB`08TMIPO\^_F3I"JNF ]. FLM+K. F:IIN^a"B. =)FLM+K\uRd0OBl RMF ] Kw)HFqSHIGKNMIJTYIPOZKNLSHI TUMh+)NB6IPO3M_KRIJLSHIJLKtuM A
(111) ] KhF\^aTK ]. TK".IT. TUo+IPO3BDCrqE0"JN^y3MI=B:}qIPOWITqI=F ] TE I S=F ]m¡ ] K. ~'¢e~l'u c- £" U¤. ^
(112) BPI. ~¥D4'p c- P-" . {£N¦q§"|. A yNM BD3HILK¨NMIJT2IPO©BD3^ SJTM+K
(113) +SHIT$ª ] TSOXG«
(114) F:I TUMBnFLM+K¬IPO¬Tq
(115) J ". SJT^_E0TMm3MI;TqoUIPOE0T ] FGJ4F3I TMgIJTWIPO®fYF b d0ONB¯fZ ]]A °KTUM+O3. b LS=IT¯ Lg0+^
(116) BPI. A `SHF ] S
(117) ] F:IJLK. A z\K b ] TENMm ®IPOK"MBl4I-zZ^_F:IJsrg ] 3^a"MIHB.NM\FYTq
(118) J ". BD"J "B°FGB:}qouT®rLFG^_E ] µ ±G² . ± ² . ¢´³ µ. µ . . ·. ¸. £ £¹ · lp uº. {£N¦L»:|. ¶· FGM+K)} M+"MIHB. FLBjBl
(119) ^hNM+ Cf"Fq¼arUSH4IHF:I TUMBCTM ] z)}0BDT ]cb NMm \IPO_L«
(120) F3I TMBkouTIPOSJT^_µ E0Ti ±. ¸. 8. 4IJ3HF3I b ] z\NMCIPOrUS4INMm. ¡ ] K¬½'3¾¿6tlouT)IPOW µ ] 3^a"MIHBÀ°. TM ] zÁIPOTBDvSJTMIJ A
(121) I TMBQfCO SPOÂFL>^_F r N^F ]. TUoIPO2TK"Q~. ~. ·. ·. FL©IHF ¼q3M. .
(122) Z < "(. '). "< Hu&. 0329<7(e5D(C2FKL0-EM$W>P8W<O0-(C2bB!#"%$&U(aGM>tmP.18W^=$Ym7\]0po/032#4¡KL0-4w2F8Q*H5P8Y2nJ#$AEM$N<7$;5h<7$;E]$?0l<7"%$?>R<O03\V$ >7$WKS(+*^9$;E F k c f@?k
(123) $DC) ) i 'Mb 4;wq (C>M<O03\V$X0329<D$;4w>P8Q<7$YE8;Kc8& GM2#5P<O0-(+2(+&W<7"%B $jEM$?*38?ZJ#$w<h.z$Y$W2<7"%$R<h.z(¡:FGF*3KS$?K Mc C k ' Cf<a F k c + F f@?k
(124) DC) C) i 'Mb (JYq B .10l<7" F f@?k F f@?k .
(125) Zc > zu{ /
(126) l i 'Mb YYq ?<P 8Y>O<O032%46&k>7(C\ <7"%$T4w>7(+GM2%E9K[<P8Q<D$n(+&X8Y2_GF2#$7o+5O0l<D$;EKS$W\]0-5D(C2#ECGH5h<7(C>S} c u c ce1a}Y(C2=*Z`9(aGM>D0-$?>B5D(C\n:H(C2#$?29<PK(+&;<7"%$r032C<7$W>7JF8;2%E1:H(+*38Y>D0ls78Q<O0-(+2.10l<7"`(FEMEA:H(;.zm $W>PK(+&%<7"%$z(C:=<O0-5h8Y*%H$w*-E 6 <h 4 ?8Y>7$z$7o+5P0l<7$;Ecb~!#"%$1M>PK[<r2#(+2=*,032#$W8Y>0329<D$W>7JF8;2#Ev$w&Um &U$Y5P<PKX8;>7$(+&9<7"903>7E6(C>7EM$?>B032I<7"M$(C:=<O0-5h8Y*+H$?*-Eei 6 h 4 c SqLbX9(C> <7"%$$w*-$;5P<D>7(+2e8Y2#E "%(+*-$EM$W2FKL0l<UZ`\n8Q<D>O0pok $?*-$?\V$W2C<PKW}C(C2=*ZI57(C\]:H(C2#$W2C<PK.10l<7"6$^9$W2':H(/.z$?>PKr(+&a<7"%$jH$?*-E $W29<D$W>?b9(C><7"%$?\
(127) m7:M>7(F5D$WKtKS$?K8Y>7$`<7"M$W>7$?&)(C>7$<7"%(CKS$A.10l<7"n<7"%$`*-(/.z$?K[<(C>7EM$?>032 <7"%$T$7o+5P0l<O032#46H$w*-Ecb -2#$T(+&<7"%$f\V(CK[<¡0329<D$W>7$WK[<O032%4n(C2#$?K03KA<7"%$f>P8+EC038W<O0-(C2x4Y$?2#$W>Lm 8Y*,*Z $?\]0l<P<7$YE032 <7"%$n!cstmD&->7$;dCGH$?2#5uZ>7$;4N03\V$v&->7(C\ <7"M$n<O03\V$EM$W:H$W2%EM$W29<IEC03:H(a*-$ \V(C\V$?29<PKJ#$w<h.z$Y$W2*-(=5P8Q*,*ZKS$W:M8;>P8W<7$YEVK[<P8W<7$WKJ#$?*-(C2%4w032#4<D(]<7"%$IKt8Y\V$eJF8Y2#Ecbk<PK 8;\n:F*,0l<OG#EM$103K4w0^9$W2vJ/Z a k *O DC ) DC i 'Mb +)Yq k C .10l<7" O il.`"90-5D"x03Kz8>7$?8Y*dCGM8Y29<O0l<uZ+q¡4w0^9$W2 J/Zx$Ydcb i 'M? b %'?qLb? !H"C03K'/032#E(+&j$7o9m :H$W>O03\V$W2C<n03KV:H$W>O&U(C>D\V$;EGFKL032#4(C2=*Z (C2#$ :FG=*3KS$C}¡0hb,$=b fu c ke8Y2#E fc ik igKS$;$]/0-49Jb 'Mb,WqLbW032%57$`<7 "%$`0329<D>P 8/JF8Y2#Ev:H(a*38;>O0ls[8W<O0-(C2FK Hi pqX(CKS5O0,*,*38W<7$.10l<7"T<7"M$ <D>P8;2FKL0l<O0-(+2v$W2%$W>74N0-$WK A z. {
(128)
(129) ' A z {
(130)
(131) }=(C2=*Z6<7"%$57(C"%$W>7$?2#57$?KJ#$N<h.z$;$?2VEC0,B$?>7$W29<rK[<h8Q<D$WK Di c, - i c - qkq57(+29<D>D0gJ=G9<7$C}a.`"%$W>7$?8;Kj<7"%$z5h8;>D>O0-$W>|EC03K[<D>O0gJ=G=<O0-(C2=K¡Di [c - i c - qkq~EM( 2#(a<?bc!#"%$@! sm7>P8aEC038Q<O0-(C203KR<7"%$W>7$w&U(C>7$j8;2`0-EM$W8Y*C\V$?8;KLGM>7$A(a&C<7"%$j0329<D>P8/JF8Y2#E'5D(9"%$W>Lm $W2#5D$C}N.10l<7"%(aG=<H8;2CZJF8+5D+4?>7(aGM2#E¡&k>7(+\<7"%$j5h8;>D>D0-$?>BEC03K[<D>D0gJ=G9<O0-(C2FK;bB)2A8j>7$W:M>7$?KS$W29<h8+m <O0-(C2 }/8YKW}a&)(C>X$7oY8;\n:F*-$+}/0326<7"%$:F*38Y2#$;mP.18W^=$EM$WKS5O>D03:=<O0-(C2I.`"M$W>7$2#(`0329<D>P8;\f032=0gJF8;2#E :H(+*38;>O0ls78Q<O0-(C2=K~(=575OGF>8;K <7"%$WKS$r"=8W^9$j2%(AE9>D0^C032#4R<7$?>7\nKc032<7"%$@$;dCGF8Q<O0-(C2FKR(+&/\V(a<O0-(C? 2 } <7"%$0329<D>P8/JF8Y2#EMmtEaZ92F8Y\]0-5PKB03KR8a575D(+GM29<D$;E1&)(C> J/Z<7"%$\n8W<D>D0po$?*-$?\V$W2C<PKr(+& ] qz {
(132) } z { b !#"%$W2 }a<7"%$1! stm7KL0-4w2F8Y*%"98;K<7(eJ#$`$^+8Q*,GM8Q<D$;E]&k>7(C\<7"%$<D(a<P8Q*5OGM>D>7$W29< HC 5DC ) i 'Mb +FWq C
(133) . . . . . . . . . !. #". %$. $. '&. (.
(134). &. ".
(135) /. %&,5<, $ & ' . i 'Mb +'?q .`"M$W>7$f03K<7"%$]57(C\]:H(C2#$W2C<(+&B<7"%$n4w>7(+GM:HmP^9$?*-(F5O0l<UZy:M8;>P8Y*,*-$w*<D(v<7"%$nEC03>7$;5h<O0-(C2x(+& <7"%$0329<D>P8/JF8Y2#ETEC03:H(+*-$?K;b &5DC. h c 7 . . ).
(136)
(137) "!$#&%('*),+-"'/.1032546)7)84"9:!$;<=%>0@?&'*!84A;9:!7)7)BC#/0D%>0E;F'G'H9I4J'/.10@4A#/0K'*!8?HL@)BM4A%N%O!QPR!7)7!S'*!80D%T462VUC0XW %>?Y#*!QPR!$;<Z!8UC0DL@)V["[F\Z9:!S'/.]0_^R0D;F'*`CL@)7),+aLXBCBb)7!80@U]0D)80X?H'Y#Y!8?dcM0K)8UF%XefA46)7)84"9:!$;<='/.F!$%E-6'/.C0 )7!$;0EL@#g4ABR'*!8?HL@)hBC#/4ABM0D#*'*!80D%i462h'/.C0E%>0d%&+F%('/0Ej%M9:!7)7)"P0k%('*`MUA!80XUlL@;Um9:!7)7)X%O`bBCBb),+Z?/.RL@#NW L6?&'Y0E#*!$%('*!8?n250ELE'*`C#/0E%'o+FBb!8?HL@)M2p4A#djaLX;6+q%&+F%('/0Ej%3462r#/0XUA`M?Y0XUsUA!$jt0E;b%O!846;bL@)7!S'p+uev.F!$% UA!$%>?*`C%N%O!84A;9:!7)7)w.10D)$Bx'/4s`C;UC0D#&%('&LX;1Uy;46;R)7!$;0EL@#3BC#/4ABM0E#&'*!80E%I462i'/.10z!8UC0EL@){%O`CBM0E#OW )$Lh'&'*!8?Y0E%|LX%Z9J0D)7){LX%:)7!$;0EL@#3LX;U};4A;R)7!$;10ELX#=BC#/4ABM0E#&'*!80E%I462~UA!$%>46#/UC0E#/0XU%&+F%('/0Ej%462 ?/4`CBb)80XU]A`CL@;F'*`Cj9J0K)7)$%Xe F46)7)84"93!$;<a'/.F!$%E-i'/.C0tvVZ_W/%O!8<K;bLh)$%z0Ej!S'&'Y0XU 2 #/4Aj '/.10 C)84b?/.4A%>?&!7)7)$Lh'*!$;<s?&L@#/#*!80E#&% 9:!7)7)MP03!$;A^F0E%('*!8<KLh'Y0XUuedI0E#/06-A%NBM0@?*!$L@)Lh'&'Y0E;F'*!846;!$%BCL@!8U'Y4J'/.10|UC0EB1.RL@%O!$;<?&Lh`C%>0XU P+t'/4a'/.10a?Y46`CBb)7!$;<zP0'H9J0X0D; ?&L@#/#*!80E#&%LX;1U)846;<K!S'*`UA!$;bL@)w4ABR'*!8?HL@)gB1.14A;46;b%Xezn;W UC0E#l!8UC0DL@)5b?/46;UA!S'*!84A;b%n'/.F!$%n!$%n'/.10JUC46j!$;bLX;A'~!$;1?/4F.C0E#/0E;A'nBC#/4b?Y0E%N%n!$;["[A\1eM7UC0EL@)5 ?/46;UA!S'*!84A;b%jt0DLX;b%J'/.RLE'Z'/.10s0/6?*!S'HLh'*!84A;UC0D;b%O!S'o+x!$%)84"9-{%>4y'/.RLE'I?&L@#/#*!80E#OWN?HLX#Y#Y!80D# %>?&LE'&'/0D#Y!$;<Z!$%;0X<)7!8<!QPR)80|LX;U'/.RLE'G'/.10%('Y#*`M?&'*`C#/0D%nLX#/03!8UC0EL@)p-A%>4'/.RLE'd;4!$;C.146jt4bW <@0D;0X4`C%UC0DB1.RLX%O!$;<q?HL@`b%>0XUP"+ UA!$%>46#/UC0E#=jLE+xL@#Y!$%>0Re}[E!$;?Y0'/.C0a%NBM0@?&'Y#&Ls462f["[A\ 9:!S'/.zL@BCBb)7!80XU.14Ajt4b<h0E;10X46`C%0D)80@?&'Y#Y!8?wcM0D)8UF%~LX#/0=`C;CP46`C;1U-A0^F0E;aLE'{N0E#/4'Y0EjaBM0D#NW Lh'*`C#/0I2p46#nL@)7)V%('HLh'Y0E%E-CB1.14A;46;y0Dj!$%N%O!84A;L@;U?Y4A;b%>0@A`M0E;A'*),+-rUC0DB1.RLX%O!$;<!$%=BM4A%N%O!8W PR)80bewI0D#/0A-h%>4Ajt0=?Y.RLX#&L?&'/0D#Y!$%('*!8?H%~462'/.10n#/0D)$L@Lh'*!84A;I#&Lh'/0D%E-D9:!7)7)AP0TUC0Ej]4A;b%('Y#&Lh'Y0XUue #/4Aj'/.10:'/.10@4A#/0K'*!8?HL@)BM46!$;F'462M^A!80>9z-b!S'd9:!7)7)rP0|BM46!$;F'Y0XUt46`R'>-b.14X9!$jBM4A#*'HLX;F'~!S' !$%G'/4BCLD+JLE'&'/0D;F'*!84A;|'Y43'/.10Z?/.C46!8?/0342b#/0EBC#/0D%>0E;F'HLh'*!84A;|9.10E;zUC0D%>?Y#Y!QPR!$;1<m%>?HLh'&'/0D#Y!$;1< 9:!S'/.F!$;'/.10LX#/64h^LXBCBC#/4"!$jaLE'*!84A;ie "!$;bLh)7),+zLUC0'&L@!7)80@U)84b4F39:!7)7)P0:<K!,^F0E;'Y4I'/.C0UC0DBM0E;UC0D;?Y0I462b'/.10ZvVZw%O!8<K;bL@)$%m4A; '/.100/?*!S'&LE'*!84A;x?Y4A;UA!S'*!846;b%XeIr4A;A'Y#&L6UA!8?&'*!$;<I#/0@?/0D;F'*),+Bb`1PR)7!$%_.10XU]%('&Lh'Y0Ejt0D;F'&%='/.FLh'.
(138)
(139)
ÄHNLICHE DOKUMENTE
The color points and LE of the 5 % Sm 3+ sample at different temperatures were calculated from the re- spective emission spectra.. 7b the color points are shown in a fragment of the
[108] Alexander Hinderhofer, Ute Heinemeyer, Alexander Gerlach, Stefan Kowarik, Robert M J Jacobs, Youichi Sakamoto, Toshiyasu Suzuki, and Frank Schreiber. Optical properties
In the case of pure band transport, when capture of carriers on traps does not play any essential role, the effect of the electric field on the carrier mobility can be described [ 40
(Reprinted (adapted) with permission from Spectral and Dynamical Properties of Multiexcitons in.. Figure 2.17: Transient absorption measurements of CdSe/CdS QDs/QRs. a) Typ- ical
The numerical implementation allows also to calculate the optical suscep- tibility from the multiband semiconductor Bloch equations based on the same band structure. With
In the long-time limit, all electrons have reached the L-point leaving an empty con-.. duction band at the Γ-point. The dark blue line shows the corresponding absorption spectrum. If
Band design in turn directly affects the optical properties since the light field couples to the electronic system.. Similarly, the optical properties can be varied by an
In summary, we have performed ab initio DFT calculations to study the confinement and the surface effects on the vibrational properties of III-V and II-VI colloidal nanoclusters with