ࡱ> 3<  !"$%&'()*+,-./012456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~RdO)l[DE@PicturesN?PowerPoint Document(# SummaryInformation(+!~_;~gwzv<'@K@'w(GΈ*Kω{`;dbm2 X9<g {AO?iGrgџxg螕}gKJ~Y(ٹgML|Y g99‚XX]Ƴ..&&>[WܳBGG?[Rlx>KG,DqۭQJ S-Ib*34i1Py"KH]TD0 b}L|h}\zbb Tk~9Lu͎!``XxgTݛI;HD: 䥋Az^Bhz/ ޫtDA]@4 ds~}Nn&sr0UAC `W\+sLl#nlUMmsUQ~_w>/̕մ+a<<\\XZ[c ŊBaú9<:66Vaa@~_8 ,U[ Xh4ֱ1X1 }}XQ(X*)aŠ6?yu )evu :]X l0 x (ak Pl`!0h `\6J3b4W7LAPc ` Zx?g=P&@L*YAT&}]N4ʜp:Qپ(6ӣ8'&UHaGTI~tL bfj\8EcZ5şK vs5%]f)Xڲ:Kz68rMIV#0y3y5fvhW2j+O3-yy$J_Yݤ8Ltfk|0CSFfbtB{ yxlkghڵȴڃU- #-M'?\>ݩ.?[[+y{~#n={uBdHNj$Yzޥ ev"ì5% 0ʲ)dC ޕdN+b̷$F*}zՊO7G/TGkU' ip vT3Km'sY=6OiɃ$87xlprvS!W:Ra, ct@D|] tX ;QNjFET܆'IgӰ )TYg 5P>I"\@Iۀs׏v2Wr|*l^B>X%-m#/LH(#˔djo(gaDE+Fw@BK*]M1&\RW]BD<. &*~.{^\+hl,:E\WsҬY|nN6Wu9A)ـ1)ɥ, 64=&Ǝ/⃓xZ`x֦]"2C&j?Ŕn$l8tY`IׅQ݊g(yYA6u;G l<\PÜ]PkZR47S*h_B l חZ=1W%G33u/-:nڲ-ӜăI} "iLR427-X%2~G:c{w W'xZn.O3Q3nԭ!bCK&h5_WnͫYpAnq7uR6/׿܋'"1hBu‡G[%5mҚdQnjuH}55RDzu2Y֡ 7")MW!}𦞷 $x /AoY8ǭ,-Xx>No Jf= Q8331#(B=!@m ;Z.Ɠ)icX"!/䓤2_}) T&>-Q*ZnOpAI~9[פ|:"@! y":]Wgqk3u 1q):|~k_q mv oPµBz OI<rs={W(OpVCZVHA~cZ0qzQ 7 `yy}I!Mkmrc; y_W_RԐ5 D Q?&>&@_Ґ3~*qpm/,6/9o%oB{PIA\$7•vEѐ.Iְ֘A͝"3TؙWcykR؛c7K\7zxr u_:" n7vԟ{$Tn7&.ΌV56侢riDyc j42ЅJ$jg5j'ƕtyiaÆ'jytۣ]h ~;XX>V8ĮM%7ٛD>)?;9v+W;39טrbՑJ(+a%(!Y!>qj5DĤĔ[{>d"H4Q O J 6L7؄%'!""ϒH\$o(c,%d;:g$G=}!N>%)K)1ܷ:KA&7Nxlə?2ϧ2/2,tQ>,0%1t:g!R:Q6 ,.%1i:g6CU nXoJ뢄۸$=Wm8Rɮo+[J(|~o:Waptx lq6=&"8&;Ʊd?y?zH4>GAbB$UJeU@¤}O?ԄpX(|pa1"@u|{k@_gmd|5* 1MuAQR&wVzw&H"2#RſY^U5T~,#o3/a/H;"J_/6EYǟ4cHpmDz/ߠ4)z.巼7iF.lb )U_J#A^{c+^<+}K[#&*D5DL3UfW^ȼEkT'J.hT6lUU A $joOж"iMo-;*Boj֘SC⏦}LL<ȭyNQB-iHcKٜR咚6TUu`,.NͽVџ՝U[[2]j9_݀(Gy>0[3T_pG"'Q{ͩ“zEs^ﶨopBŭx6ۋ'5|4(qDCd6g_x/'Ա= "*ZHnx]KjxMS{j*r ~d0:X QV;>H߶2V%M2y^;,Akko0ͦE!^3FO%3mIu2赞8ȊΠ%1B_ fIK1Bd=.Vskij3eiQ;<|g3!ڨG fn쁸ΠKmԖtGC%x00Sz.  hkO%95Hx~|2ց~pKi@ I!g|k|.$K|d8;< ]پ_ڊeSdeŠ&T!J`fϠ6X{ӁZ#d@7->Lh12H=6+&7~(8H?4fd@~}n&w 3 gS _ħ,=nz]u b{}Ms >121=עZjՕ-Iq4Xͭa8-P\Ɯ4yը/cuO!7~,;̔NI Bt:v^jp Iv֡P'/,qGO*݄v ^(< h׎~|MMr+ `{s,S8=8ΫukaxM W_ooeTT)p5v{e_U'Ng:uq <~+s-0plƩ;: }C OYb\<$הEfjV )&yo]ZÜV%rK&W7%7vXoϳ<2[(.XkEڲ|~b+zZ-MUUAթ h{D|hm5kݶk55ɱEf5 <8Ժ={[9gB^ayp]k=upuBiyI&žaټj46{z5La\e3CzuF{IkMV#Kfٖ#Kdo]{vwۗ[S_ɻzԘ'3L/opyQdnxWӮm;vn܎.Ua/Ϳ01q.U;( >\ƃΨWMjFy*N?$Ym>Y!+$c{+u(8?kci+,~ %vQ g>{֘_re-`GY/>]?1y1v1p1X pڂU  A9^`h{ؚھ,f3s`3?ʏ,,͝^8Z9^A@:%%*q TK'rg﹪^0H1``'xeP(Y-[pnY,8AHAC$x}sUCB^hCRRcJ\X㗵&Q+bJbq F{fk&{^7/YCd~g<_;Fe& Kc*m(KW[/Tg=/b5_N*uŐ;zc qq묾wzgw,OM7.ө\ۛ;q%0!-ϴ6o-,c~5q" 8Eg|8l LNNfD}Fn"J,oK?'ⓥC_aTO$ڼH:8Qr0x]7Q75Vis)L,o 蛨d 9(F0ux0ZGixRٟ#k{bAD` z-(@(Z1k))fv.0MǚYO dnX x(bTK f3/˽eҜQ:렝էy2s$  ^~ Lw7 RZK)Z0Ͼӊ6W9 st=٣kh4.0 gj]ͽQF)\_D(TP1?|=pn&UT݀+]RAw+ЌA8!LY /碿׿׿:>ާNtX7@Vj6/ -=uʹ~ש?7 Ⱦ0"- ~Nre(j<#%[4"lq #r&M@؉?U2ļJ|-wBW1eŊ e3Q>8.WUB ñfv}̺A_0XZW*&MnF:ﮪ `D^ s±A KQ7c+>u_lVg33 ^.^7Ī|SF|d觶z C`SoOH`,;=Prl[,ER)$*O=CQ *7(ΔpTVZe`tǾ%߆a[<>~VBL?2K%'C: n2Gh|bC` S߯@d%eK}Z?*vh{ͯ:kW@x ռ#zz7<+%/qm1]4os}^K|ѱ"3@P$LJX) }BѐrIVēj#nUhN sR-3X#g<PG(ulLL$.hD]"DN mJD/*B(FذW++[X -s("H (-3'H8H߆ؠ /@:[{d^zdއ^J?5XPy(V ^/+9=9}96(W _/z+z8=z9z|9z6z(fV f^/f+f9=f9f}9f6f(vQ6W-MII)#q3 FbHP@AKPo7#+wpˁqn-Xqh 7M; #^'z'8'4< H4(Vߠ{/MDv"ARХ&Nz$8p(L;KAVGT0l,"#4,tbC͛m{n6q-º*K։W(".L1bOPjIpơbYrd X#Q՟cھ|*+ Dϓ .`nV\ >̴ɬ#ʱ &K-cd9rzsGJf_(AxݓZD5x-oUithyk Ŝdj*LPw[s]#fxi fyWb{Is\l߇h'1YilPV@(`s{/"L e "?{ -Dh3En,FCB+yk˒۩ʁ! i>ڕqA`9>38O$. He[B3@ۂ+.>t%YL4o/߼x8x 086r)H#X^_өFUôRKhA86CTA IꑜGEZg`Z5d0 OxǵE-^Mr]-d!ds{i^pR<<}<;|/*!eʫ9ie :]T{jkՊQ0%uʐ?UjhMzV$!~ac> \\~e8Bpm|j~}P:!ǂsFH`(Ax@XNL[`ke6րbYE@ n MDYﻚxSTjPI|ߛCgaEEGDr lu~+>itw$MLݳfu`kW-9 țE ɢJV?Yg\ EzbWMv-3Ã2j˙rB?{1(4B">y?6{I 1{م06 o y2X)Ge]_q7W*|*0,~mqLX(/!n\h63jgߍY2Ƙ[i1t%X:mHY^ @l0pIegfjye6& hk;Vcg3 ^VxLm[$ .K}6odS:K>X D0h%8T٧Y5RdsBrZ͡W9gaDwSpJA[MJ'ho|g],{o+M-dSb7v}9c5ĉɃh}|Y؅nvNQǃ!QUMD}OjǬ(񩊩F83wəBoݹYL1X31J]*#b!GA#ZٓAٽ(Pk^6Itр-ڒ0s?}vDC'RM# ՉH/\Eh6y <<0֟e?H30%$n%܉?/~DOƊb{0YfY&5ՇԒ|yL-UMR3`nvr )wsmsi+W<_rt~%JbZld1wsusibKldW wWsWdsWiWbOJlOdOO>wOsOysOiOb_Sl_d__/wߠshsiLq`.v&`0g!g[l3c\䡧ѡ̯516!k^6}䄈i'ɭԌaWN7aϫϤx{%_~W~o:nEo=F=N :Ðe+&pz={" 2ہqƣ?8?L |C2mo[y)^5S0f)LJd51R>:Y&3M^9Hs'9 *+)*ȏN[ɂ\Tr[/PJ/B>0cMkzr,6P\td^O |z՞0~u)e:2\Б5s- fm; /KMS h-Fb-murK4G%)=.jr͋beaZUxFWLJvwgOgjNiq ]$uddVL3>&}x ;=BӨ[+`նͶ(oÝμ{(R0,7Ͼ5hɛr*dCw1i:@_Aɞj)q6o<)Ϡ5`1 `Fgc¬>lۋn_>=[_[r &A ,1ҁ$QlCٲFOvmZS? 72>F FR4+^@[G`ϥkH}EDꡗ;r6!H!hF`sJ63ٞk'@9 K]rNLFj{XiKB~8&A[]N yȅbhs04Y,rf!b ;!3H9u ԈC3_żnDSotNdq u|B)O) G{A?dy[{WJ bUD [."PS"q}ˇpC89{ٝ551U'FBHTpX%˭`LnPK;t)LVү~(0fp@q[d;X*ahѸX7K72[ss k2ղ;S 5`}?\vo'Pm>C4M )/GI!qapxhIn\䞪3;H2qfђlz|=0<,^ T>ُ3$1̺R%Z('uAv@& K=;æYR҂AjUYdH:tS*g DUtHQ 8a05b+pZ䉴*yQ)w I~˫¥ѧ˱JzIG1ޡ91e! +'5SVX?nIvElc -"`@ VѸw.\ A lcEIPzE^cZ)BLAv*mpK*Pyjȫ_S_sc-W3(Z7fÉۦzspcw?A)w'׌t^1ᯩP*"6wVn=0t;!eࡴeN1gų"_E)e_aB[үO\sfF{lC% d%ܨc&309[H/x>6ԋ>؀H r4T>.$mmH%Ahh.DqUE/{ 4|o^-z07A Fsî w\ұZQ'8_f s;Bnj*~le4 XёF>AJoSBG3B4y#'TXL^ PZ:L/&uBYDc(\k-ii`2?1$~ă]fR̝=O}lMEl=kH*fynA )'\pִvةԞeAE$w&09J;G;"[r}(8myR?%O,TwIo87:ݩUkws[N:!A`[yŒE-¨}> zM9gDҘHz.-hY?llyγrƆix7;x/ZOO1ػr.`q7S e_?wrHᑨ%7Om`I+Az¤9'^[Y^3{@7.O.lLﯲ>.iv=4rF"܎Ui^~_%W[}G,v`~)c׉{ԇJ&L1@ٗMǫ) +NBOŒ(;*EN?{9~+SRۊ T8w_e~$:|h/@m⦏`C<[ː+~By&\!~MJ}P+݃#f"JKx} 1:}"1׭Im2%V7iald4B.gOX" mH(POItb.TkG˷M ndޓbgFbs(w5+M;A<4̒B\'cnzd8x'*`ve.@-)rA!Y/Y'uF=Jw:on6Zq_Rb%DMXm=ZRhS",\xdъebzr Q,eW2|M+yzK'B=95A%rH ~r,CC{׸b6u]/P͓B%e>X)e ٓY U)\u=?ms)iM^>X ^)5|j0"&~M|bTEKq'j4%gVzB,w1WPA!.v̀[>@JfDxevhBlZGq-(v籦u,alcU1 \-EExNo>; &a)`tvH{S^@WV"RдTyo40\c'*>XP2z9LfMF<(+SXLv:L |K̟LQnP»`꽒vMZҟ32R9Wn-W>5Yu}|UQavbtoAD"zW7Lʪt-埬WA^uPUcm&aS<-(ү"8}568Ce ?܄&a&=ZِGkG5~>=cQo wBהFWjuȴE_}Ufץ5N0&)7HX= I)Ekrn)yT]8I67׏pMu38Se56:"ij-.i,_ns̖уz ZWNh!ю'Di1!jfQ=_ ߺAAգA5a a-aaaja{Ö/m]F=FlF}F*- :5dxGOrT'6nXzdr X'ȍ-,ﱌ#7?Ezؘ J4ؘߧbѷi|s{ybc'?[] dcx''zcpc\cstcReS־[7GpߑSS)Qab`8U0  F#Q*`I0& 0æ0a73S571#p2#7#5#5#4#4#4#48*DpS`?9t k+3K^Ѫɒ SxjO0sttKfeEncFlkjJg$zaSL E( ??.(  L   / 00DTimespe Sorts77@\77ȹ7ADSymbole Sorts77@\77ȹ7A DWingdingsorts77@\77ȹ7A0DMonotype Sorts7@\77ȹ7A  @n?" dd@  @@``_ClappingWAVE 130106RIFFWAVEfmt +"Vdatav" ?P: B  MD 1 <,xEjtouNf  ^qX3[-u2zH |1DK.[cJ _5);[ ]Pv\l D-=e;y #kkSOsY6wXxF\}F n   #/  `"Cg;2$_[(,`9 g=T_-mZHr`>5\8SE:@n4txZ:\{kI 0VbSc">(fa(Vk5!aa/1M Xxuu7Zw/KTfP*fT%t#B'tXW`Y9o-Al>79^o_Y]Z2}bWK: 4^\S)Fz 6st 3f6/]RBh56ac0E%7p`TE.ne1/]'0g4Gw z y&K[8e5=-rhו*== (3L!z0?, XCy> $D Ig1g& < &A~L v%k3ln 0 js8^ Xj-k!CAT;@.x)UNT3-GJUC;7FPe*ש>(M5XPyi7ΐ >6F4BM:#E+ *ұ9k# !b՘ :3-Fi,]*! 뺴pp1)P!LÇj/8E d A 5hc%&4Y>LV~ y K * ;bAM Z: LYvf, S+"G b,!}3װ!d%"  a*e*|߇i4 ))b*r0U q&y[Lf_W/=K$ N }) K iU v)-i 6:$6@R|7lk- X7Jdm q C c Fg&NZ nbq? ,`Qi, y W&@6 7 mO}" };0#Ik ]j ];d=E@}9cd7_ kFf4yA %b2%Us_5,d X^%<OvNR tx} j4Py k'# X}jm" u k7)U%S[' -`V 6j/_ ? ]8;[_b;fUyqn0Qg$% HQ^GM=|+]&LybpPU)Oq.?/ plwaqG/{x  B,KDMGGqn#*078d#aR&/H22:p=^7;E+BdHHi /,P~e;2QAf eoIp)%+n24TQ5v3YNqxunv7{V#F-hmd4X {g{?k Qam g]Fe9+j]<_z#mnVV{7'^y'[/&tRyRUlN3m m;(E6D8GW!c?9 6wM]q5zUNnl5l}>,DIn zqd1} !.v M6b)JN7q $qD< *"z),6,$ ؖ!6oqg WyyeRz2n(dV>Qp?FUiS{Q.>[5953-Re"G~<,?ʩ, "0t Qp1B~VG70e\?eP$,y9Ϛ7"(C#!}*5'1Gڦ֏̶A27D%0!8* % T.% ޜL% '-|4|K& ,!+3aӨ#Y C%#jNR0~Zs(</KiY|ط} )I[SE3KSnݭ66U [$U(-P6l๽K:10r/.>J K[GFQnF i, Pg\p`]\ 8IuJ ?"{ }b)T!ki+)| 0W=eq wp P/U4 [>C! !q  64AeW]0 )  hu_ #iR<+)N cdL}D ; 3 ",< K 8 j Q { M}O$; .*w* .V >܍t  MuY<t_j^\tiz? A U[q;-h ,QYv _f0?hn *=[Z 8>N G Z q[Xs  nw z+>8  _xmt.N AADQm!;*N=]  uzR^F 3V?(l+ S9{;A1NM;  H k\ tRGP<lti tWE$ 7S = <5 y?ucCI_qp^ @f,Z)NY!&2u~`iV!"b+3-30aT&.)R]rKgs5t3a+<-!$e Ob`qS;C E/cqd,~->;P7I =JN Ms){"%^?iggX<B@H5+&Kd(4@MANzu :gesFD5;D] ZSn{ >wM68>&SG:KJVsb6wxtU}wsj89~2<K~%pfoSo(AjayM15>,}uqUgvQB lUUW[A s`T/XkI'9jxQ21 2UD_uA*I!9B+zn#LX|[To*X Zp_2sO$gF9' 3G +hvH$IQx@7 +%#;kti2Fr3eQ Nw \!: ZU;awY"|(whx On Lr"$/%mcڰjbِI1_,i  I=(7 pGE DDa_ !n (D3 j  poKo q 2 ) 6YUY '%x pX# ec J%{&h> s[vXl- KU   "b  W29UP  *&* o/t3{d i`'M ^lXixQcK*, w Ajj !.vBHy^ a $bA| a./ 23/@u K( `  5*?~9%MQj-UNvO B biJ3>;H5 ) O ha6m !Tu{=B1A'P/d~KmF&mM85^;o_Y OSz fBAS,G* e\Pe<5[/blNj|0M%M1( P Qux\!`X2=oz a"t2)k>`3;Qc8o(3 d.]B (Qy?`K, -mL%5@A @7x(pY/bGtQ naw v#V.VP?ZΟu9]?-(-A _b4# 2"9 )`rRf@Pl  Q\s+Ms0,3'Z`ol\>d6QBD]a ЀB`43yBBR2G48$@D\:ƓV5J*5c'|&~," X- g U7 mAݫ>Gz+Kʋ~nF4z&o]ضK&C!Qnݱ<K *0} 6 mq Wl$Lqv 5,! MZ"8A)([\#'KOTD wx9gߌ~&MPQ L \0 u 0} SaSF Pi'z/ ' xsV:"m 6 4 rb - O g 8 n V $c \+'S!aQ jn VXtOk+"= 2 tvJ&+=n Xt4XHZ@g ' n +7]c c   Vgny |8YfF ! R9 Az 6~d ,U" I bBgHSi2 Pf du7HUbݲ VOk6+ h+nG߂oVJ? GH65| uk$HWJ~7r˶Eϯ1D@Uh#_6ED:!x  6 xߢ_'Z6, - G?S7G?$4n4b4X-كrrXk  8L%(&! d)*>#[Q  Pk\l3x_a`eA#^mSa7,4kf#6)  !SM 0 \FIv"~6]p1.`W$hoA;b޷/Fv D6< ]'u{z: ?7}!W (3سm p 0 c,9)'yl>6B [rz"6Ϲ_=2fז!%R!I gfv[3+,=cC}\F*3'WKء׵_;^ 5} څ/)R~I8% #!#at ) f {9>$p , t\%np]M phSґ#Ta!mJ Y %O-B %' v֫<T>ڋp+6h F)XvjG) ?1`a {=k YqO@E % d - mbggnv{J T/BcPd3| g `W7T.xrKE5 2%,c"_q h1 I7 %ET# ;N ` hv! vPSo TSgk,? Qg }m no<L}S n.@~Vlj 78w`n+= I\z/N :8E i1 L]t & S$A L# x >O[~UUDGb$^?2"* O 7VhQn!wyERG]jV$ouT^R}(2Oz7XosV 0>RSG V yb ) Z=AO*/YB}b:rP^MSb|buS 9 t}c\0dVB$ N,_(r^Bl HEvJl /iu9[#B&:B=%g7*e2B5Rh@cfY@K? *S deSMx>Ml"PBoZwmX]p5gF/)rSou*) wZBm(\k 1 ok0MQZjvvMT0qi.l9Y&Aq[nI!VgzD^5R=H~Fb%8hj5rm>F@3n:`5o }Maawd61C>n Bnf9BtUpS,b*  Rj{c`w_ pO6 awk5 ``g'P Iva ~T [%XYa4.Y83/W''ne6t/DS$(?y'UW@(f_F==hkhix%i Mh&24S( 3D+(]  LiJ-\"UVyS(}nR]StrdHME0 "d)AhB*U|t7%&W5 ^:܋4VRgU@D8p0zfZDIu@.G$l] .G8 /?26ͭv3E%"Zbb# 4/)ϲP%Z8C {wv Ibig y/.HA 2sS - *C X7KXF3Y 81j $E`0 :-mfn -j?2  L9<8UKH? OJgct QJ wE54g s~^~ o# HecSc1b%  GEO/4, IgY oJL%4iqlTwP Ds gr 7*`<h~~ p7JIOD]w3y=20 QBp ]^{ڞ : 8yDgg;{ '|k' hag<3`?yf^ 4=RN<V 4Si mCAn#=[j!:,'K, M. ek4{su{Z K =Z/g}Wu4$R| <B;Nfb((\m8fh@RbicrZ!% ofb-] )S?n852XQ fj.|pOX/3`mJ4Sx  DRm< o]590 S^O1:*b;${89ṋe?JdbP0u@SB^E/' P2>.NVƸU!FEЬ.& 9, Kr~ݻ̋ͨ:$<3!8w0}! nW֕Ɉʠa 382Q!.!0-jn)Di Y 7  3dW$'I} m/!  H jonb  Q F;  ]_hB2+ 9 ( % O 4 nlVH`(C=>&~ m 1 a I$c3U>q__ : 9` Td_ >,6  Z" j yj )OMQe>d )9,2e.Pw 8$ c<S2 @5$Na:HKM.JFi;ba`Xmjk : z\:#N1DrPk}g%+Rno(MBXEHt2TtG[-g~D'SS0.kB=1v@E,o2 _X~=0qavZ#+mI3xWYb Rv pQph+V=Ctvp7#B)o|W|+cG][h wc+*co~Y^I  Jn'-0r8N:̲z˓y@fha@IÈ"ubQ;C`hkө<5pgA2, }."$ 4dܘ /V_hH%w֞}G;;f`( >@.o5"Wֵ_0&bz N,r`\* =[ b[* qF@PSD7k ' kRBgXGEc(;vÃKBi2iؖJ >a{L=C;gث3 ;693s@X3l.J_|`Yw.eY Gn BnYu%/  l}u8XOۿ#z=|@WgOL)j9l T` %q<x^82$E! k~a h #Z (G-K SS{ fG 6E" ZLaD칧.YI8G褼ҹ+)+v FzVT޴*9E0me=:VJ>=Ÿ^ ˜$Z>W Dz=ESZ 'fUY4 uB! II",&cemY']"D (6i B^ S*-, RZ+Yn D?8smwAénC>W[S.{4M/s%W5!M&(%P$1B%_~&f"c1@q$J0$Tlc!hi.g{yL f"+1ẕ4[x& I`N|? %;.<#R%NZ' ehxP[ J/ ?|-;1C)Ds Q eaI A +5+(HR#QtDاhRV 8v.  7k_j6*"P"D} lG3r @D Q&j u% AV]03hGiy < xi2 +j J4"27 jS$V s -yJ 8q ?$E/* UeU8"}FH,"\ 7 Q LH ? &2 0_w qq P* S3 h xp @6 jr"!,UX%X NC| X ; ]N FD  2 Y)h :tx3uoY1Yfy}y  397" 7pCsz*6Bv(RN;I.0{ Hhw|Zy{8r=%W}}u!3euBH;s^ E^X:+ SH2r<G; S'I@I1$%~u\U9 e`Am!iu+2P~Us32/2Tn  >~Oo  "Bn;, 8{Zkq4x6:WroCLpoa]r=1U4 ^FySbWd:S (]w:lpsMH9 "#gGb~=m qh_'M+z i?]=j !VsaGi0S `f~`8t*5|AE(-[ Z ~%)wbA1 |Qxo`EOSdzFo`i<0 W^BCT)zI.^b-!jji+ZS_;0)d: 0 {B?Q#k{y 5W=$- x2FrF3k"jrdY]qfrmrp:rINopU*Iap?,49c^R*W55grW6BMJ1gy1mx&Uvf\Y 3 wC 4|?"~d+&%`UK4C)n; o h]m $唼נc5asMJGGUdR3 '(DKO{aiHW0`"T: DZ׿<_ bFrkSrd62fʹ-Nv>9:Uާ? nț.X2 0h׬ɇ M gk)|ׅ: `  $/UM.6WI$r&4 ghϩ@O5Ͼs6d)Z#s /58?975t 4D5ֽDN",' 9E=Ȼ )D.,W$ o j:kJn uj th 2Hؖ6)`j\ t()p d A'!^A:Q߉H /d ^=:)$GV9 e(Jt6(guH z'O]xi aU t{QXyaq#! k>?L;9 MKf 3 v5Bx P ?  M7%,_YBWA>  j U qOg= @ d LPLGߨ ri 7R )6:Dut" ^cwC- @ Ki  JGum^8k "ZNH67twH 5 (<h z4IF R `/Ov\} Q{qf 9K&vok A&}8 3]\n=F)b}z[  DDirA:CUGS1 2mrI@Gt.O =Vu=o :3J /O# "I,LfiW Wc^jHK\Z  .7EN{GABarf|& ^}t.4Md+o4,pOJx>"Ysu7HLe`%Z"#qI}}rQ=X7Z-Xdp4dL1zEj Sh@Yd0X*Z8RfZ=ICzU(f'q 2 [f=!mK--3Y%Q8ecIig~E_/TC;oj su[)4 H}C*.abn"}!Ba!nxL2p&oO5=4c @]u *$jv `MS#]My8-my]U=^M nSK^lH2\]Yn&8 !j0:9g:9YAFgr7IG^uK3J~2SGMfM 4}<] \SES%UM=g[N=M00md}v^_^[qL)* RQ :yI&=+)8cMABCTQ  <`,em^ezpb"/|,( nbZ q xg KyzOIV& (bZ#9Hb (6 } xkp}yL=w ]Y!RՐ]З1\  -sr ' ^+ m'ZCAJ@k%PL+qP!~Qcg PrO(.o (.%bD$vY>X>X.= H=:cdJ>#J:u ^XgRj&xeW2sSX84!x;2@^[[ UXso%M(}VA al:DX? I'-Ңf&$hrS(,ƒ:7g<0Boz %  ~vc%mP|e 5+>{_!A+VϹf 5 Mv= }V{"@x}^F 4mSd! ^ Z"E5b)QE g$ s8<0Q) B u=qs$]d ,.2 b4W mEs Y' rk) vN=RZA 2,w5HTLt&>} )V |.-,'!F15q?;{W9482dr.Z' =7B&:0rȀL"??("^#SK$~Z¾@aUB=pL֊` B(U"jQj$  f k 4s} JAB! ߺ8_= wG sf 4_m [> <J0-~+^ pv [  A _ yfBaSfWk /2  ry L] c8C 329;ymS j7 ]W7Ah `}gxH')|bL^f v TjT ?W"\ ]$Rf!.^N! ! .i@0Wcm=fPm(* .+z26P  C"S8/ zh lcN^ D!w *RMIc.1 5wcTu  o[>.K,UWB /O"fPIg_0WnjSMv\\k|pSK]^IaQzv  D Ek>-`:ls8k:tz6_pj3Gl2rtbu1>ZW!%W"}iDl hg,NFIf/& @H@zk?  +!26AQXx<fvD0Lh()e~*J'SKS3 o=V/^ {{Fd!ʗA3uq /|{ ~ꔼ&|>.+" h1 ߹N `il>;"$Xn ,A# J&$F {L 5X&y+ n y ! r} c44 UX9Pj,! q mdEKq< 2SVVE BJ a z!R .0dEAo 0= 4 _I 3v fP&jW=RF `s54vb & .  #Q7 R 'U C- ;P [2 &>Br0&EY G4: A?grX]I_1v ?~/Nq_Gs:Y3| LLLTnm-^:.pU1d5K~m=j=xr7:. . <Q+ziNG ! m5"_ ,OH&:5 #csCD6P)9Rl$QV]`Tn BYYuFlgpjjsq{ XSZIS%,foM'!c @~\Ojxnykz'3bF} n.e. b $`h9XZQxXgC3IeDf;V>gX-kH}JDP .k0S~9%o\#lF-.s$4~^}RB6^XDAH-;@4wuW"`Dk'|(bgr`Aop/4:ka~gS mPD*H Y$Ev}!; wق9[-*x#<{b  f ^!,`i`1n*'y ~ ]KY ;?cH z~AH'Y fH  .[F~~)%w#g'e3T9G O t =6<=P N %s !Io_08T8bU cj` K:9D M6  WP/ R , % =<h ,Z}MvdIX \%B4u c<K,dk sM/AV=wzPF] ,UHXn =f[|7 XGCXwp!jkQD 2_P>#zC7{GlFh8j] x#_tnOc Q H&JfRK\{I̦.gl:]X t.nGe*;I H| xFz(iA= .E! FA"#_=6[E3 J:O )x8!Eow o\ 6 v_ m\9bg[G{K ( @f = idrD  B w|@P\80zmQy|]p'; }P=PO`V9iNn" qd%t/ gzx| >a+am3`0;V<.  $Ô4qHC&1_J~䲧ؙwc5\pTRO5zЕ"{*v 3. /t Do } $#nk,5GH ![UfޛޘQ \ d _7bN@uR/(%FpaZR[F-ÏSԦl$ofX`S4:SetוFse':cT} ,s_@G^LNJA|5<C4{t <3|/b# ,"8ssz~+%[)<*^T4$ G #9s#c0 0*+\P܂S %(eZ )jz  kT} @ Ws:4!M"2 /_bt[ \ prD'%VW?l@$0e  #5 \,v ֽh18*&x?DudT Y?3 W SI"k6YMbk F X. ? WEa L vX4 [<Kz;1ukLM Y5 /bS1~Ut (|DnK +eO aV XBV p p 2 r5; 0 WX 0KZ ,M8 C=} &N5P8a"CFkV:L_Z39 9lx_WLG * DdM/Vk,tNI)  ; Brl vv*= &M%*^QjN.:MX+K g :Y@Ea1 6A"KO],Pf|tn""5VG'`e0q wSSc~A*.+}}&0c? kjL#y;X'~^#4@+X>/HS%a (M `BN)\>i"sZ_ *2)uf:Raa]9NX7~(kMISM&=Er0N fc)<cHJOH[J+81<+g6v'mj7b-Yu 9'n}m('mn  QjC?hFeYX-a/.+~^B"f}} z]-R9 ^4YZ%n":(kI" I!rxHR2.^o9,uVr$9AzH8$cp)0r^ ^V S z4* kքj 9 kK$G') ft[M:yGRDnA'L|eX?> R,-  > =K 8 \c h(!zb4 iVyAEbN0Szvf;NA8m cb os+9@&1@ m= \{u Pn ,r(VL Rpsw}|r_S!5mBjhD7csr/y0HK.(7f-=d7i{,ud>fu R 2/j?3|8\MXwJ\<L ;8L l?iOe4D|=^i@DcGD.b|=,& 87\ A"*Қ1  !(oUٿQS* +0!Ur>G &$ԢЯM<1 7Z XS urLu`T# #  sE>sOH};`+ S `5b{l%y}!7A xI~+% #3FD en;>j ddwkt?O2" r% rFJd)M .Q?x ' ) yb `vyen` TY  &zp! J,jL D Xp~ D[5 Dyrn I @k 80 3[- t ! n(]o}3GJ ^P0Q>   gGNC- #M! kSs<e~[9 i   /xi2T '2]`z3 }437u5O} S g.m#v[2Gm0O9R) 8!8[:" gX j3 ^Xyiu<7^&FLt@iZgWq + -p gz_{Nt |pJ VU٥6  g rT . OS !9%P('&O}4y1hT8W? } S@[:G5Kh]wieN4*bf~ EVUT q@E5  abY10]9Oh&{xti7uEha}&72C%=6c=R|GI*l`VdaC$ᴀo5]2k&J&9?1=qZ2D¼A&DԜTGo(*(R Pt{O"ݙ+gp F ,:N2B&9{i܍C;-2!-rw s#pAF( fBnW >Fa1 g 5+_$ 1% N  ,%< }p6V $s; Li^2Vj"a&^ٟU ] 8 s;r; K1Hփ *?n8e0&:"9/'eg%`3 ݢ+)P~bVGB&볲ٞps *T?5I1R\ !yhQ cBt>a*]8*=9_uD'zЧ4?h`6xl?!(N*f'- ô:(ԃo1A85<3rV9;'&hAߎU)+47K+LBm q G!"=i$ng,^ c%$*] V| - ]0.ڮ h c|T$ Q#P=f b re' kmi< dMy8 Aq/|"bd7X$9hh 7  r  d jYU%!c13PZ ZAW3bK+5G} b c ~hmT{ 5 ?_D_ $-[IWe, \n !JPKX 7 +D 3HH  eHB'A(G(nxIs(2r#B@*wAJZ _f(xX{PV Y S/KHQS! 7N ;\HAP'm$]X83k J Mt1Dr q; P +Fmn/[DroS#hPE0aqKM4nq S 5K[ j\(j"O@}5H?8 w6JE9inX]vtNr4a%K'Bj$9]{eJ<wube`q={AS\`m#kC)\IOGS}=f){ 1 2):D.i, pJ3RmBMsU]tH uBUYC z|%v;IhqvQCTJ4B:su!e^z-}Sj]jt qquh zZjH}dt8lqm)%[uXM\xU0\!AFEiG:WQNI obf}7#ar<)ZM4v'xB1 kMHA:QUU cJEzh33z o\0* uqBen;?D Wv& ) 9 XTc.VX fmSUe( Y)_E3ZYOT1r DBff UW* .n_ XB"} ek3Q 5/F;*t :k1S9,zd\%xI+z_ $Jf Y kgA 8h8]I~5S0"o^m%<RK }b()@h{Ie - C_SfHo5r#>"#GGNpE7cD4uT`:hx3'\r&r(L*hAMnAD6bV G.uY 8 Y0?Yjm +tu(/pCLx=>vgs+t)hCm;d;D6(ML0Shk#]qI)D/8fCulW=[:%jd9.MMsgjD@J{"9NQ }@BbqsK8\puvM[?7b8 tR5X#h29e^q`lJjaan[ =;> Xr:}mlno}H4B1n.!y ,2 z h(,? ~Q<? 00%w S}r*!r ZI(fJ\]5p\Zi7J'qa* aeq%ٳ/B4Y0ș[ST`Q"F0.D%b<tK )wP`dLOwԨc b [;T/1xrxYhx=9o/W`-3))2-c5_I3h\av1ά!>=L.<79'QKF|L.ڒ&۽=+']Iqm^tm yj\ 4!n{#T9Fb8I:z4NZy3`veS|5m|+ܴ{'v q%R?j g| V+&\7|n^Z dH}#, ;#*zI0e[  Li4 lF  ^) D  ]Q#-5yGkP 'U j K3/~ |o_Hg +9  OSeWKO) 5 0":PكVZf o+(-kt  (  | y m ? ~CfY ;5 Z I?t(M } LUV # O% s~<i `aq[ } (JS(oV0Hc^g p  2 4b !1a+, z zcF>c ~A6#U{E! h u&;M/H!efE{"^  1:[GY!iGv32eEQ ZSZ$xAP_#fO1?N M o,Eu]Hp \ay%V)0Qe`;w` LgJ 69{WfT)/xss*_.T /(pI[[(TiyJTTXTU =Co] | ht( t{+ ao/':t6wVb3 lz6tI[q'$50%STne0\ru1 j? 1d'Jk 13p*JwuZH_N)&#[QF@3\~'~&# 47rgPDsZD8V.*% PB D uʏՏ. { $ ^#^{ 5^!p ,ld0%04't_a Cg Q1C= =:G !wR N ESsFwKj>ӍJ6KpM]H=);e<vǤ=Ι0Q=5,%N;nSTJg&uqk  cb  t F WF^.$':KW?3 uVaҢϓκsظt';%y) W p ~+~- #%K*8Y$2 ujU.wk # QgsW J1v ,o l * =M +,[$m! X7\1+G5L K I ug vj-L 4 XX 27vTW\>QT @6 guf HQ0qKLx a+6m&(j1Y34fh IJS\ )BKZ  W}'qZ"]#n9_ Jr| ST~z[~Km^iaZ 7& W:rz   |oA,s6 d8$)='mhLE) Dx:&TA9L ? . 3X9-k*T~!6:'[\GJ]&px^5/g!!9M\8\]1 'c&gH:#|_L[6k8J8K &hnX6E;_-  1, QQ$mI _څ dD<T0'1D|` Bz'"JmO}   lxe V))}zi.@'k!]+y+- } -0} 4 l (OOJ' >p_ i .1-V]!g* a1>7^ z%m5g j} Em t+Hm]+ ZZKC( Vbu7h5u2KwSH |f o &(EKdQ{?kk11rA T$h d ; u`]LP0 q4% 9tt d9r1?~l0KThK:\ B! d aj f)ktj]+MC }wF{ UKLG 9|o'[2H%r8hIC?'x;1K.60&F:ƺ8E:3u_y68ǟ yA;Url!݉'; =\ɷISn) W31 E(O?K~:+J * { OpFw&@*` qO 3gݝNj2aL  Co R\J^r GL5  n- ^| i#FU@T$ ]6( ~i1B j#_ Pe"| rbrs  e (l - 0;(9k`% RI|\cfTY 'H F4sE \H-  l!k-F\( KO uNSEg=g^7)fz'Rnrh f EcrO ](<!%UF}LV  a@m*i+%@-kKAHya5.uft$ q+9Xm+C}h$C k#soU8I b PXM2pr#b0$Mrx/*W] j?V0e`'^jg{^e"&ZH#i6f ff;')g&UTKS0,9{%G>o[97 o|mn4=W',Cjwn$_ml26-07tI(m+gB BGc:dhOw,Ki0gJV`Vcm3?lv+U#Kc=E%O,I.mS?F}4w; =3!gUPM5FI^ E&J1qKCS evSI1n]4}n& /!t{ @+OM]|s60˫ x  f   V#e>m > "1u! l[  5oi{QDNV@9 MT"U8$difB_j,jM uBK3T$v$ }%m{ff 2 h~/w0 ;2 T]`M^F4-fpa#]^2+< SB0J"D,G.Ar ;X/ sMlf-5~L\+]>C@VUrF4>{6E+0>9DlO($DH>Nj V}{T B y:uaH(dT@Z&7y+%Kk_{]^fhVz 2}\*? 69rv-h4x9sU 80MWPU ;83,Vl5V$Gz uy;R+Z5,oX t)Laf90n'4}:(TNWy/o ; 1H2'V s-HEyJRNAU 9n[wmj tb\/Qe+,IX=T2*t,]`%4f2[B-vz|{Cn ;2u : I9DC  #_\ ; j)N`0~i (5*ON`]cJw J4E*Z` 8Yf)MV:o  E l c?}J ~i020b :o)=+p #w}9l_a@bHhB/J3!>xeP'\+[P&O  NnR: ooh,nUj>m"9K|; r!p  h<pohxu66 e{vn<2*,*Es w>,5hf k)e`` nXKmHWq9l;E4|B^H]a"$9UItib._Qi :r M*3{AT*qE m0Oe4| \*dpC?15+UVm4l;\i,M^%FD gj f i!U?<Kt-'\%G9^djB $_yyQ/yp":W"K}6|46e|MFZMx+S ?O l. 5S"?pOZR?sCp#N~7 -Gv6CW[.\Myh2&9&h8qE<32@$o1\ M   lc ji@9[b#U R ZK_j{Lp dyURm ^|y 1Iv/ Y fi8lhn}p`^:9,oq+@neYcH zc sF;XgfTZLN3 G*@UXwJpl+=b4VJ .Yl|.%ko+8>}sY%j1dPA,x.@h"k?N0*Y5r81 X3 Z {}PFt5^q\nf;$]E"w?'aga\0PDhT]  y #6 @ FrPEeI.rHh,Q~YP1o EpiS=lO~ %j ]Ua8btq1%B%H(2_njiw,kQ lB6eY>fu#.j$M\y+ $5v(tHUlV^ ;E7jU"`DK~@!UdI\rj;)(d=-rY!Nr v1X$If39UuR+reqD"[9 \htNlyYwF"4%'+z=$tiP!&)zCwP fkm/ 8 4V5G!r M:[h6H&?M` [RJ#)n`u$k$#5#!ia'CPm!{Z|c>Kn@Z<&7:*{fBj ) [%0/pudOozy/w!cu$V#g"Se@DW$i08 5"ThK5 \\bE/9n*[+h#C;JvEP)!gP/ALXJ/E3O ;F(c^)K6Dza)N>_gX "&8+4  &$ + "M/7|.I\f8UO{>wuC.) **#) 1(            CameraWAVE 140105RIFFWAVEfmt ++datah||||||||||||||||||||||||||||||||||||||||x|x|||x|tx||||xx|||xx|||||x|x||||||x|xx|t||||cgxkxxt|x|t|ttxxox||xxto||xt||t|x||t||oxkxx|xo|||ttt|ox||ot||xx|xot|||x|x||xt|xx|xx|t||xtxx|x||t||||||x|t||||ttxx|xt|x|ox|o||x||t|oxxot|t|o|xxx||||x|x||t|||||||||x||xxtxt|xxx|xx|xx||t||xxt|x|||xtxxxx|||||t||xx|||t|xx|xx|xox||||xxox|x|||xxxxt|x|xxt|||||xokkgWto|tk||t_|kxot|x|o|x|||xx|x||xo|x|xx|x|xtx|otxx|xx|||tx||||||xxoxo|t||ktxxx|xttto|t|k|||x|||oxo||txoto|x|xx||xkk|t||||xx|t|xxto|x|kt||||xtt|||||||xxx|ttxtxx|||c|k|||xtxxtxx|x|x|||x||||||x||||xxo|g|x||x|||xt|||||||||||x||||||x||||||x|x||x||||||xxx|o[ooBtWt™F_gtBW|gJcttFtogotxgoo|xo|x|||ox|xxx|xxx||x|||||||x|xx|x|||||x|x|x||x|x||x||||xx||||tkt_|o|tk_xNƀ)JۀgtgSk FB%||>gc:ΑtSx)k[[>xk_xx[[cSco[ookc_ooƀkx|So||gxxg|tc|to[|kct|totkgo|oooo||ktt|txtxk||||||xx|xx|txt|||t|||||x||||xx||||||||||x|||||x||tx|||||||x|txtxx|||||x||xxxt|||||t|||xx||||||xx|x||||x||||||xox||o|gc||tok||ttotxx|t|x|xx||o|x|||x|txx||x||xxxxx||||||xxx|x||||||||x||||||||||||||||||||||tx|x||txt||xx|x|xxxxxxx|||||xxxxx|||x||||||x|||toxxxxg|ox|ott|c|x|ox|tt||||||||xtt|||||||||||||||||x|||x|txxx|xx|||x||x||||||||||x|||||x|x||xx||||||||x|||||||||||||||||x||||||||||||||||||x||||||x||||||||||||x|x||xxx|x||||||||x|||x|||xx|||tx||||ot|o|x||xt||xtt|||||||||||||||xx||||xxtxx|||||||x|||txx|xxxxx|txxt||t|x||xx||||||xx|xxx|||xxx|xtx|t||||x|||||||||x|||||x|xt|xxxtx|x|x|xx||||||xxxx||xxxt|xx|xtx|t|xxt|x|x|txx||x|||xx||x|x||||||||x|x|||t|txx|xt|t|txx|t||xxx||x|x||xx|t|x||x||x|x||x|t||txttx|t||xt||x||||xxxx|xttx|t|txx|||x|t|x|||||x|||x|||x||txto|x|x||txx|||xx|xx|x||xox|tt||x|x||x|tt|||||x|x||x|x||x|tt||tot||x|t|x||||||x|||||xx||t||xx||x|xo||ttx||x||||x|x||x|||xxt|ox|xtxx|||txx|||tt||x|||o||t|t|xtxxx|||xxo||xt|x|xtkkkot|x|t||||x|||||x|||xx||x|x||x|||ttxxx|Nktg|gocxo|o|ttgt|xxxxt|t||x||x|txx|x||xx|||xt|||x|x|||||||tt|||||t|x|||||xt|t|x|x|tx||t||x||ox|ttxt|xtot|g|xt|||||xxx|||||xtxx||t|t|x|xx||||||||x|||t|||xt|||tx||x|ttttxt|x||||t|x|xo||tx||txxx||x|||t||||x|||xxxtt||||xt|x||xxxxxx|tt|o|gxt||tg|txx||tkkFokx_toc|tot||cxxoo|xxtxoo|kx|xktx||ot|txx|x|||x|txxkt|xtxxt|xtktt|t|xxxxxxx|xk||t||x||||x|xttot|xoto|oxxtoxx||xxx|t|x|txx|x||xxt|o|||kxxx||x|x|||t|||x|||xxkxttxxxxk||xtox|xx|xtt||t|txx|t||x||x|xtcߌƑct__|SWo|Nott[_t|gokx|tkxgtttcokkxxxxgc||||xxt|||x|x|xtxxx||||tt||x||||x||x|||||||||x|||xx||||x||||||||||x|||||||||||||||||xx|||||||||||||||||||||||||||||||||x||||||x|||||xx||||||||x|||||||||||||||||||||||||||||||x|||||x|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||x|||||xx|||||||x||||||||||||||||||||||||||xx||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||| x2_    &  s 4B$k~9LuhB$rg﹪^0S'h$h$h$h$hr$SL Ei>h T3335% ffff33@f g4kdkd4Teppp@ <4ddddg77<4!d!dg77? %3Numerical Simulations of Laser-Tissue Interactions"43- 4 "Examples of diffusive random media#" # Biological Tissue Diagnostics of cancerous tissue Radiation therapy Water and Air Atmospheric studies and oceanography Communications Remote sensing Pollution studies Earth Geological studies Propagation of pressure waves Electromagnetic & acoustic probing  K2 KV KV2fVff3Tf3   Our Interest   oHow does light interact with a diffusive random medium like a tissue? Tumors are hidden inside the tissue lG&NxE$fo  Properties of Random media (  Index of refraction n(r) characterizes any medium Homogeneous media Inhomogeneous media Continuous n(r) Discontinuous n(r)a+$31$ 6$ F  L   Why not simple X-Ray?  [It can damage the cells It only creates a shadowgram CAT scan, PET are again invasiveX\3 3  *  !    Existing non-invasive techniques Magnetic resonance imaging Bulky and Expensive Photodynamic therapy Requires tumor seeking photosensitive dyes Ultrasound methods Cannot detect tumors of size < 1 cm Problem: Resolution Solution: Infrared light",%7 ,3,ff,f%f3$ Q     Infrared radiation  Advantages Noninvasive laser-tissue interaction High resolution Propagates very far in tissue Rugged and cheap sources available Reliable detectors But problems in theoretical modeling ...~ Q)  $33   *  -Disadvantages of the Diffusion Approximation .-( .  No coherent effects like interference No polarization Inaccurate at low penetration depth Near-field effects are neglected need a more complete theoryH~ }$   dExact numerical simulation of Maxwell s Equations32 3 Initial pulse satisfies : E = 0 and B = 0 Time evolution given by : E D t = 1/n2 B and B D t =  E First tests : Snell s law and Fresnel coefficients"/?<fx  R           ,&!Summary and Outlook  Exact solution of the Maxwell s equations Model a tissue as a collection of spheroids of random refractive indices Systematically test the conventional diffusion approximation Understand near-field effects+J>*H3333$ff     ` ̙33` ` ff3333f` 333MMM` f` f` 3>?" dd@,|?" dd@   " @ ` n?" dd@   @@``PR    @ ` ` p>> +#(    6T+ P P V Click to edit Master title style! !   0+  P RClick to edit Master text styles Second level Third level Fourth level Fifth level!     S   0, `` P Y*    0t, `  P [*    0, `  P [*  H  0޽h ? ̙33 $Blank Presentation7    w( 4#D  r  S t/y  P   S /`L P _uShannon M. Mandel Sophomore Intense Laser Physics Theory Unit Illinois State University Supervisor : Dr. H. Wanarev$$ !,    [  H  0޽h ? ̙33  0 (   l  C t2  P l  C   P H  0޽h ? ̙337=  <<@(k<(  (l ( C Է  P ~ ( C 4P P  H:L N  (#  @ (  BY CDEPFZ(^iO^p/ 1 * =Y I Gzl#v(^*,@`d-K  ( # rB" CvDEFH33..V4MiD70$ 'aa  /s?NZ5fwnlh#^CmP$ANiKnzvsqn=gA7 , " 7!$@               \~l ( 3 xB" CvDEFH3..V4MiD70$ 'aa  /s?NZ5fwnlh#^CmP$ANiKnzvsqn=gA7 , " 7!$@               \F~lB  ( <D\\\lB  ( <D7N  ( S B CDEHFRAnB ~S O Ba+J_JBBn&(@`tB  ( B CDE@F _4o \Ho~| .  i . l W @       ( B CDE@F _4o \Ho~| .  i . l W @     8V (  &B_CHDEF8"" 6u!))&#_)0-(,P)y&&c'5 7/8A;R>mGGJ_# H)@           ND V (  &B]CDEF8"" 8z!))&1p)0-C,m)&++&'5S7c8v;>GGJA]e e v@           zn `2 ( 0 j `2 ( 0y Z `2 ( 0 + 8 x2 ( Hvy @ # ` `2 ( 0 6m `2 ( 0: i `2 ( 0= M `2 ( 0^3[,Z2 ( s *3"Z2 ( s *3 ? Wl2 ( <; g Z2 ( s *3  Z2 ( s *3 6 Z2 ( s *3 T Z" ( s *QJ`" ( 0 t  '`"  ( 0sT `" !( 0QL`" "( 0\v G v Z" #( s * d Z" $( s *  `" %( 0UB W Z &( s *3f 14 ` '( 0ԋ3ff - Z (( s *3f j S ` )( 03fB   ` *( 0+#+3fe! h ` +( 0fC3f/ 1 v Z ,( s *3f <  Z2 -( s *3f[Z2 .( s *3f5dZ2 /( s *3f8SgZ2 0( s *3f6mAZ2 1( s *3fBZ2 2( s *3f%Z2 3( s *3f77nfZ2 4( s *3f)`"Z2 5( s *3fSZ2 6( s *3fy,[Z2 7( s *3f > mZ2 8( s *3f ~ Z2 9( s *3f QF Z2 :( s *3fr Z2 ;( s *3f: q Z2 <( s *3fQnZ2 =( s *3fH,wZ2 >( s *3f  KZ2 ?( s *3fa  7Z2 @( s *3f < :Z2 A( s *3f  $Z2 B( s *3f\ M |Z2 C( s *3fO  7Z2 D( s *3f 9) hZ2 E( s *3f_ B qZ2 F( s *3fI C rZ2 G( s *3f  Z2 H( s *3f@ ~w Z2 I( s *3f a Z2 J( s *3f ;jZ2 K( s *3f!=XlZ2 L( s *3fd  Z2 M( s *3f Q/ Z2 N( s *3f S Z2 O( s *3f^tZ2 P( s *3fCWzZ2 Q( s *3f p: Z2 R( s *3f L {Z2 S( s *3feZ2 T( s *3f~QZ2 U( s *3f6OeZ2 V( s *3fJ@`2 W( 0v3f*YZ2 X( s *3f<rk`2 Y( 0v3f^m `2 Z( 0 3f8 gZ2 [( s *3f P Z2 \( s *3f  Z2 ]( s *3f ? M`2 ^( 0?(3f z OZ2 _( s *3f| Y0 `2 `( 03f  Z2 a( s *3fd `2 b( 0dB3f ~Z2 c( s *3f  `2 d( 0)3'Z2 e( s *3f ? nZ2 f( s *3fA Gx v`2 g( 0f A `2 h( 0Mf 1 `2 i( 0)#f  9@ `2 j( 0vfG ] `2 k( 00f U a `2 l( 0vf j `2 m( 0Ӱ#fh  T `2 n( 0vf [ `2 o( 0If3bb x p( HfCv @ E x q( HfCv @DC  x r( HfCv @ q T x s( HfCv @ ]  x t( HfCv @W ? x u( HfCv @ I x v( HfCv @  X x w( HfCv @{ r2 x( BNq X l2 y( < 0# l2 z( < [ R l2 {( <  l2 |( <"0  x2 }( Hvy @e ! x2 ~( Hvy @ *Y  (  BCDE$F.5%? Fnu7u?F@` ( jB (@ BDo + t ( H333? Q_  Gtumor  H ( 0޽h ? ̙33&  &&P]^*&( (( l  C ^n  P l  C   P j  B2 $8  }  ^j ! `"  0>-xf  6> J `R  0> ;`b  B 0wWm`   0>3f R f   6>| 7 fr   6>Kt  fB   6w # `2  0> &D f  6>[Lf  6>"  <Zt3f   <  `  0Z B fR  6Zf / fb  6Z 5 `  0Zz  `  0Z w fr  6Z7 L `B  0Zb = `2  0Zk`  0Z C `  0Z#@ o `"  0>C :r `  0>  fR  6>   `b  0wwnk  `   0> : ` ! 0>A]  fr " 6>}  fB # 6>.k  `2 $ 0>x` % 0>4f & 6> ^) `" ' 0U  f ( 6Cb 4 `R ) 0U  `b * 0U Tf ` + 0Ufo  ` , 0Cw B fr - 6UB  fB . 6U V `2 / 0UA`  ` 0 0U6 1e ` 1 0U`" 2 03 b ` 3 0 ZR 4 s *^ F `b 5 0 G4 Z 6 s *3 f` 7 0I[`r 8 0u2a`B 9 0*Z2 : s *J O ` ; 0 + Z < s * aO Z" = s *)s` > 0`R ? 0`b @ 0A` A 0NZ B s * k `r C 0f` L `B D 0f}`2 E 0 & ` F 0  ` G 0 Z" H s *  ` I 01: `p ZR J s *z  Zb K s *Y  ` L 0g & ` M 0  0P `r N 0K) X `B O 0`2 P 0   ` Q 0r  Z R s * N V} f" S 6hS  ` T 0hu g fR U 6h  `b VB 0x# u ` W 0h A ` X 0h4J{fr Y 6h K `B Z 0h~  f2 [ 6ht\f \ 6hBV  f ] 6h]  H  0޽h ? ̙33. `@V(  X2  0hD jB  BDTTpB  H0sDԔ3pB  H-DԔ &' pB  HODԔBCpB  HiDԔ, bc pB  HDԔpB  H DԔ345X2  01 jB  BD jB  BDԔ'D  <4 pv 4 High Scattering versus High Absorptionv53  333 3  3 5   <  .Both phenomena lead to attenuation in tissues $/-   / H  0޽h ? ̙33A  PAHAp<0 @(  <l < C   P l < C T P ^B < 6W > <  BY CDEPFZ(^iO^p/ 1 * =Y I Gzl#v(^*,@`   < # rB" CvDEFH33..V4MiD70$ 'aa  /s?NZ5fwnlh#^CmP$ANiKnzvsqn=gA7 , " 7!$@                m  < 3 xB" CvDEFH3..V4MiD70$ 'aa  /s?NZ5fwnlh#^CmP$ANiKnzvsqn=gA7 , " 7!$@               Q pB  < HD b pB  < HDF L  < c $B CDEHFRAnB ~S O Ba+J_JBBn&(@`N ;   <  B CDE@F _4o \Ho~| .  i . l W @      I   <  B CDE@F _4o \Ho~| .  i . l W @      N <  &B_CHDEF8"" 6u!))&#_)0-(,P)y&&c'5 7/8A;R>mGGJ_# H)@            P  N <  &B]CDEF8"" 8z!))&1p)0-C,m)&++&'5S7c8v;>GGJA]e e v@           4 d2 < <8  K d2 < < %r d2 < <      !"#$%&'()*,-./0123456789:;>?@ABCD. |2 < Tvy @ 1 d2 < <  ` d2 < < r d2 < < ,% ^2 < 6^|3 ~ ^2 < 635 ^2 < 63  p2 < H% D ^2 < 63 ^2 < 63: ; ^^2 < 63k ^" < 6P Z ^" < 6 / ^"  < 6sL: ^ ^" !< 6  !^" "< 6\5  ^" #< 6<  ^" $< 6* L m^" %< 6U \4^ &< 63f) E y ^ '< 6ԋp3f J ^ (< 63f  K ^ )< 63f x  ^ *< 6+#3f u ^ +< 6f3fQv ^ ,< 63f G^2 -< 63f~ a ^2 .< 63fA E h k ^2 /< 63f G j 9 ^2 0< 63f + N % ^2 1< 63fz , O ^2 2< 63f  9 ^2 3< 63f5 G i _ ^2 4< 63f@  7 j ^2 5< 63f [ ~ ^2 6< 63f ? a , ^2 7< 63fK m  ^2 8< 63fW z ^2 9< 63f Y { ^2 :< 63f q ! ^2 ;< 63f ^2 << 63fZ o ^2 =< 63f S v ^2 >< 63f2 T ^2 ?< 63f# F ( ^2 @< 63fE % H o ^2 A< 63f  8 ^2 B< 63f V x ^2 C< 63f # F ^2 D< 63f G j C ^2 E< 63f N p ^2 F< 63fKO q u^2 G< 63f ^2 H< 63fz ^2 I< 63fZe ^2 J< 63f"I k L^2 K< 63fJ m ^2 L< 63f6 `^2 M< 63fY { ^2 N< 63fZ } ,^2 O< 63f t ^2 P< 63f] ^2 Q< 63fp ^2 R< 63fN U x x ^2 S< 63f& i P ^2 T< 63f { ^2 U< 63f  % ^2 V< 63f  ^2 W< 6v3f  ^2 X< 63fk  ) ^2 Y< 6v3f * L { ^2 Z< 6հ3f|  %  ^2 [< 63f  7 [ ^2 \< 63f[ 9 \ ^2 ]< 63fA  ^2 ^< 6?(3fN  ^2 _< 63f > M^2 `< 63f \ ^2 a< 63f] ^2 b< 6dB3f6 Y 7^2 c< 63fc; ] ^2 d< 6)ʥ3  ^2 e< 63f L n ^2 f< 63f Q t @ ^2 g< 6fW ^2 h< 6MfK ^2 i< 6)#f > ^2 j< 6vfv 2 ^2 k< 60f x ^2 l< 6vf ^2 m< 6Ӱf _ s ^2 n< 6vf ^2 o< 6I&f> [ b v p< Nfv @ A ? v q< Nfv @ eT v r< Nfv @ c E v s< Nfv @m B v t< Nfv @ , v u< Nfv @ v v< Nfv @] v w< Nfv @ p2 x< H  p2 y< H9qp2 z< H Up2 {< H@ l p2 |< H v p |2 }< Tvy @{ % |2 ~< Tvy @ t <  BCDE$F.5%? Fnu7u?F@` ! r < 0H [ @++ <  BbC DEFjJ?b @  jB < B5aDjJN "tx  <  BCDE$F.5%? Fnu7u?F@` n Y  < H333KY P X-ray source     < HԽ33329 P X-ray screen    H < 0޽h ? ̙33r  "4( ,9 4z 4 C 4  P  dH 4 0޽h ? ̙33  8D(  8l 8 C   P  8 C T`<$  H 8 0޽h ? ̙332  Hr(  Hl H C tA  P l H C @m P R H s * m H H 0޽h ? ̙33  L(  Ll L C   P l L C gk P H L 0޽h ? ̙33 7/x  (  xb x HZT½^'K  <  db x <3ff/P jB x BD)um ujB x BDjJ]+T pB x HD)F F @pB x HD)d o d   x B½- ] 0 Zn1*    x BT333t *Snell s law for beams"(  ^2 x@ 6333C0V  x B/lv Zn2*   2 x  BySCJENGHJJQjJ I`T N'yS^>I`T N'yS^>JN'yS^>J 2 x  BPC CENGcHJ CQo `Tj;3Pl(`Tj;3Pl( C;3Pl( CA  x 6333) V : \a1,    x Bt333 1  Ra2"   M x B43330Aw n1 sin a1 = n2 sin a2        x B333 LIncident     x 6333  U Reflected     x Hb{t333 A"  M Refracted    H x 0޽h ??0xxx ̙33T ( t   # AoAX  $  64333S  w'Light bouncing off air-glass interface"('( (   B333PT iTime-resolved treatment$    H  0޽h ? ̙338 l( q?>   # AoAX  $  NT333?T z t <    B333(x< iTime-resolved treatment$      6333{  'Light bouncing off a random scatterers"('(     H  0޽h ? ̙33  $D( d $l $ C 4}M  P  $ C _ <$    H $ 0޽h ? ̙33r\p.7Xz9;= 0( J!,W ,c Oh+'0! px  <H h t  '0Interaction of Light in Diffusive Random mediumPhysics DepartmenttKMacintosh HD:Applications:Microsoft Office 98:Templates:Blank PresentationePhysics Departmenta51sMicrosoft PowerPointion@3@ A$@ Lk@t1-"CGPICT *@@8 HH  \D    ށ    ܁  ""  ́   2>΁  ځ           PH   !́íć]́í́́ q            6́Ṡ̋ ̋  ̋ ̊  ́́ 8       DocumentSummaryInformation8=Current User2 ՜.+,0|    $ 'On-screen Show Illinois State UniversityoJt TimesSymbol WingdingsMonotype SortsBlank Presentation4Numerical Simulations of Laser-Tissue Interactions#Examples of diffusive random media Our InterestProperties of Random mediaNo Slide TitleWhy not simple X-Ray?No Slide TitleInfrared radiation.Disadvantages of the Diffusion Approximation3Exact numerical simulation of Maxwells EquationsNo Slide TitleNo Slide TitleNo Slide TitleSummary and Outlook  Fonts UsedDesign Template Slide Titles*_c Physics Department