[求助]求牛人帮我改一下2D-TM的MATLAB程序

想问一下哪些参数要改，我的递推有没有问题，PML的设置有没有问题，还有画的图总是不对，如果输出的场为数值的话不是0就是NAN，谁能帮我改一下呢，谢啦O(∩_∩)O~ q8xc70: R  
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ,gL)~6!A  
%      fundamental constants (in the dimesion of m) m wEVEx2
4  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -=Eq/su%  
cc=2.99792458e8;            %speed of light in free space 2mG&@
E  
muz=4.0*pi*1.0e-7;          %permeability of free space b8{h[YJL2  
epsz=1.0/(cc*cc*muz);       %permittivity of free space 7{+Io  
lambda=1.55e-6;             %center wavelength of source excitation TaQ "G  
freq=cc/lambda;                %center frequency of source excitation >RL6Jbo|  
omega=2.0*pi*freq;          C*y6~AYN#  
%*********************************************************************** G<u.+V  
%     Grid parameters (in the dimesion of m) gc2|V6(  
%*********************************************************************** :Bv&)RK  
ie=320;           %number of grid cells in x-direction _2gT1B  
je=44;            %number of grid cells in y-direction !OoaE* s  
ib=ie+1; z^!A/a[[!  
jb=je+1; fyg~KF}  
is=5;            %location of x-directed hard source \B>[je-d  
js=je/2;          %location of x-directed hard source )' x
/q  
dx=5.0e-9;        %space increment of square lattice Avv  
dt=lambda/(pi*cc);   %time step Pvg  
nmax=3300;         %total number of time steps wO_pcNYZ8  
iebc=8;           %thickness of left and right PML region 9u7n/o&8v6  
jebc=8;           %thickness of front and back PML region j^$3vj5E[  
ibbc=iebc+1; 3 !>L?  
jbbc=jebc+1; !: EW21m  
iefbc=ie+2*iebc; uU[[[LQq  
jefbc=je+2*jebc; xU13fl  
ibfbc=iefbc+1; mWN1Q<vn,l  
jbfbc=jefbc+1; kJ#[UCqzM  
%*********************************************************************** k$0|^GL8  
%     Material parameters Q9eY
F-+  
%*********************************************************************** $E`iqRB  
media=2; g3|Y$/J7P  
omegap=1.34639e16; PD}SPOA`U3  
epsm1=1.999+omegap^2/((9.61712e-13i)*omega-omega^2); s9_`Wrg?  
epsm=real(epsm1); U8WHE=Kk\h  
eps=[1.0 epsm ]; *`g-gk  
sig=[0.0 8.85e-18]; DNm7z[t{  
mur=[1.0 4.0*pi*1.0e-7]; Qor{1_h)+9  
sim=[0.0 0.0]; C?/r}ly<\  
%*********************************************************************** ??\*D9rCn  
%     Wave excitation %KJhtd"q  
%*********************************************************************** >xU72l#5  
rtau=10*lambda/pi/cc; m
.HX2(&\3  
tau=rtau/dt; gB{]yA"('  
delay=3*tau; ^Z-.[Y  
source=zeros(1,nmax); z%}CBTm  
for n=1:7.0*tau
EN-8uY.  
  source(n)=sin(omega*(n-delay)*dt)*exp(-((n-delay)^2/tau^2)); jsqUM
y-  
end S4k^&$;  
subplot(2,1,1) P$(WdVG  
plot(source) 3D$\y~HU  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% CFkW@\]  
%                fields anz9lGG#  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% zqvRkMWcM  
ez=zeros(ib,jb); L.TgJv43  
hx=zeros(ib,je);            %fields in main grid "S B%02  
hy=zeros(ie,jb); nv_m!JG7  
ezbcf=zeros(ibfbc,jebc); i^yH?bH @~  
ezxbcf=zeros(ibfbc,jebc); p-Rm,xyL%  
ezybcf=zeros(ibfbc,jebc); mV**9-"  
hxbcf=zeros(ibfbc,jebc);       %fields in front region "u Of~e"  
hybcf=zeros(iefbc,jebc); c>u>Pi;Z  
ezbcb=zeros(ibfbc,jebc); j:v~MrQ7|  
ezxbcb=zeros(ibfbc,jebc);   \sHy.{  
ezybcb=zeros(ibfbc,jebc); BYr_Lz|T  
hxbcb=zeros(ibfbc,jebc);       %fields in back region OXIu>jF  
hybcb=zeros(iefbc,jebc); B{OW}D$P#  
ezbcl=zeros(iebc,jb); W>q*.9}Y"  
ezxbcl=zeros(iebc,jb); 75\RG+kQ  
ezybcl=zeros(iebc,jb); z,}c?BP  
hxbcl=zeros(iebc,je);        %fields in left region =q"w2b&  
hybcl=zeros(iebc,jb); \N`fWh8&  
ezbcr=zeros(iebc,jb); 0gv3v@QO  
ezxbcr=zeros(iebc,jb); e_I; y  
ezybcr=zeros(iebc,jb); cwM#X;FGq  
hxbcr=zeros(iebc,je);        %fields in right region Yhc6P%{Z^  
hybcr=zeros(iebc,jb); + 4V1>e+  
%************************************************************************ =qV4Sje|q  
%ezxbcfn(1:ibfbc,1:jebc)=ezxbcf(1:ibfbc,1:jebc); eN<>#:`  
%ezybcfn(1:ibfbc,1:jebc)=ezybcf(1:ibfbc,1:jebc); n!kk~65|  
%hxbcfn(1:ibfbc,1:jebc)=hxbcf(1:ibfbc,1:jebc);       %fields in front region****************************************************************************************** y(/jTS/hd  
%hybcfn(1:iefbc,1:jebc)=hybcf(1:iefbc,1:jebc); <4l.
s  
[Hv*\rb  
%ezxbcbn(1:ibfbc,1:jebc)=ezxbcb(1:ibfbc,1:jebc); &AQg'|  
%ezybcbn(1:ibfbc,1:jebc)=ezybcb(1:ibfbc,1:jebc); Nh1e1m?  
%hxbcbn(1:ibfbc,1:jebc)=hxbcb(1:ibfbc,1:jebc);       %fields in back region******************************************************************************************** Giy3eva2  
%hybcbn(1:iefbc,1:jebc)=hybcb(1:iefbc,1:jebc); !7mvyc!'!  
,u?wYW;  
%ezxbcln(1:iebc,1:jb)=ezxbcl(1:iebc,1:jb); #uD)0zdw  
%ezybcln(1:iebc,1:jb)=ezybcl(1:iebc,1:jb); teq^xTUF[  
%hxbcln(1:iebc,1:je)=hxbcl(1:iebc,1:je);        %fields in left region Q*09E  
%hybcln(1:iebc,1:jb)=hybcl(1:iebc,1:jb); vDK:v$g  
hapB! ~M?  
%ezxbcrn(1:iebc,1:jb)=ezxbcr(1:iebc,1:jb); r6F{
 
%ezybcrn(1:iebc,1:jb)=ezybcr(1:iebc,1:jb); |n|U;|'^  
%hxbcrn(1:iebc,1:je)=hxbcr(1:iebc,1:je);        %fields in right region S.Wh4kMUe  
%hybcrn(1:iebc,1:jb)=hybcr(1:iebc,1:jb); Pp1zW3+Q  
%*********************************************************************** PmPyb>HK=P  
%     Updating coefficients %jbJ6c  
%*********************************************************************** Qm35{^p+  
t-*VsPy  
for i=1;media R "/xne  
  eaf  =dt*sig(i)./(2.0*epsz*eps(i)); ?$30NK3G  
  ca(i)=(1.0-eaf)/(1.0+eaf); Wz6]*P`qv  
  cb(i)=dt/epsz/eps(i)./dx/(1.0+eaf); vi[#?;pkF  
  haf  =dt*sim(i)./(2.0*muz*mur(i)); [ 5CS}FB  
  cp(i)=(1.0-haf)/(1.0+haf); GZ/pz+)i&  
  cq(i)=dt/muz/mur(i)./dx./(1.0+haf); 5YTb7M  
end mHK@(D7X  
%for i=2 !q~X*ZKse  
  %eaf  =dt*sig(i)./(2.0*epsz*eps(i)); Aj8l%'h[  
  %ca2=(1.0-eaf)/(1.0+eaf); R/ALR
 
  %cb2=dt/epsz/eps(i)./dx/(1.0+eaf); w|!YoMk+o  
  %haf  =dt*sim(i)./(2.0*muz*mur(i));% ot|N;=ZKo  
 % cp2=(1.0-haf)/(1.0+haf); tsTR2+GZS  
  %cq2=dt/muz/mur(i)./dx./(1.0+haf); r,`Z.A  
%end Z-^uM`],G  
iwG>]:K3  
%*********************************************************************** iX8h2l  
%     Geometry specification (main grid) N5q}::Odc  
%*********************************************************************** G*P[z'K=
 
%     Initialize entire main grid to free space SWNU1x{,c\  
caez(1:ib,1:jb)=ca1; N`,7FI}  
cbez(1:ib,1:jb)=cb1; 'h!h!  
cphx(1:ib,1:je)=cp1; 6)=](VmNL`  
cqhx(1:ib,1:je)=cq1; Tm%$J  
cphy(1:ie,1:jb)=cp1; 7af?E)}v  
cqhy(1:ie,1:jb)=cq1; UC8vR>e\  
% boundary of main zone Mv/IMO0rR  
sigmamax=1e-17;               %???????????????????????????????? ]k[Q]:q  
%for i=140:180 7>nhIp))  
    for j=3 \GijNn9ah  
eaf  =dt*(sig(2)+sigmamax/64)/(2.0*epsz*eps(2)); 2gQ
Y8h8  
  caez(140:180,j)=(1.0-eaf)/(1.0+eaf); ri/t(m^{W  
  cbez(140:180,j)=dt/epsz/eps(2)/dx/(1.0+eaf); 7.wR"1p#  
    end =&di
4'`  
%end A|p@\3P*A  
%for i=140:180 :0 W6uFNOU  
    for j=42 \]Y\P~n  
eaf  =dt*(sig(2)+sigmamax/64)/(2.0*epsz*eps(2)); bn0"M+7)f  
  caez(140:180,j)=(1.0-eaf)/(1.0+eaf); 0OleO9Ua  
  cbez(140:180,j)=dt/epsz/eps(2)/dx/(1.0+eaf); *A~($ZtL  
    end WW@JVZxK  
%end EzzTJ>  
for i=140 3+CSQb
8  
    %for j=3:42 tj#=%m?8V;  
eaf  =dt*(sig(2)+sigmamax/64)/(2.0*epsz*eps(2)); 6V'wQqJ  
  caez(i,3:42)=(1.0-eaf)/(1.0+eaf); ]%gp?9wy  
  cbez(i,3:42)=dt/epsz/eps(2)/dx/(1.0+eaf); mV6#!_"  
    %end r+imn&FK8  
end ~v.jZ/h  
for i=180 HBt|}uZ?6i  
   % for j=3:42 #5'c\\?Q  
eaf  =dt*(sig(2)+sigmamax/64)/(2.0*epsz*eps(2)); ?60>'Xjj  
  caez(i,3:42)=(1.0-eaf)/(1.0+eaf); 8q_1(& O  
  cbez(i,3:42)=dt/epsz/eps(2)/dx/(1.0+eaf); fp.!VOy  
    %end +IwdMJ8&8  
end C/mg46 v2W  
%     add SMG IY];S
s&i  
for i=141:179 d4jVdOq2  
    for j=4:41 W0VA'W  
        caez(i,j)=ca2; e%PCe9  
        cbez(i,j)=cb2; XHWh'G9  
        cphx(i,j)=cp2; @PYW|*VS  
        cqhx(i,j)=cq2; x1|Da$2  
        cphy(i,j)=cp2; kmZ.U>#  
        cqhy(i,j)=cq2; R'S c  
    end Jy]FrSm^  
end o `b`*Z  
5Z* b(R  
%     Fill the PML regions Iv'RLM  
caezxbcf=zeros(ibfbc,jebc); ;):8yBMk  
cbezxbcf=zeros(ibfbc,jebc); (3e;"'
k  
caezybcf=zeros(ibfbc,jebc); $a`J(I  
cbezybcf=zeros(ibfbc,jebc); ?wGiog<Q{  
cphxbcf=zeros(ibfbc,jebc);       %fields in front region PYdIP\<V  
cqhxbcf=zeros(ibfbc,jebc); "sFW~Y  
cphybcf=zeros(iefbc,jebc); xCR; K]!  
cqhybcf=zeros(iefbc,jebc); >nc4v6s  
caezxbcb=zeros(ibfbc,jebc); X}3P1.n:  
cbezxbcb=zeros(ibfbc,jebc); gb.f%rlZ`  
caezybcb=zeros(ibfbc,jebc); gsW=3m&`  
cbezybcb=zeros(ibfbc,jebc); E"Zb};}  
cphxbcb=zeros(ibfbc,jebc);       %fields in back region *,E;  
cqhxbcb=zeros(ibfbc,jebc); J9g|#1G  
cphybcb=zeros(iefbc,jebc); "nVK< Vd  
cqhybcb=zeros(iefbc,jebc); 3CA|5A.Pa  
caezxbcl=zeros(iebc,jb); RxlszyE  
cbezxbcl=zeros(iebc,jb); Zw2jezP@t  
caezybcl=zeros(iebc,jb); D~cW ]2  
cbezybcl=zeros(iebc,jb); %GM>u2baw  
cphxbcl=zeros(iebc,je);        %fields in left region ^$e0t;W=  
cqhxbcl=zeros(iebc,je); G1kDM.L  
cphybcl=zeros(iebc,jb); MB1sQReOO  
cqhybcl=zeros(iebc,jb); Bx+d3  
*
y)4D[ z-  
caezxbcr=zeros(iebc,jb); ?g5iok {  
cbezxbcr=zeros(iebc,jb); [_j6cj]  
caezybcr=zeros(iebc,jb); =Nw2;TkB[  
cbezybcr=zeros(iebc,jb); j%#?m2J}  
cphxbcr=zeros(iebc,je);        %fields in right region +c-6#7hh  
cqhxbcr=zeros(iebc,je);  `>%-  
cphybcr=zeros(iebc,jb); pI
&o?n  
cqhybcr=zeros(iebc,jb); $k
D7y5  
%a=ones(iebc,je); 7*+Km'=M  
%*********************************************************************** LEWa6'0rq
 
%     Fill the PML regions YKc>6)j  
%*********************************************************************** )\8URc|J  
rmax=0.00001; IbF4k.J  
orderbc=2; -oU@D  
delbc=iebc*dx; KA`0g=  
sigmam=-log(rmax/100.0)*epsz*cc*(orderbc+1)/(2*delbc); |a%B|CX  
bcfactor=eps(1)*sigmam/(dx*(delbc^orderbc)*(orderbc+1)); 7 n\mj\  
rmax=0.00001; $2Kau 1  
orderbc=2; iwvt%7  
%     FRONT region OWqrD@  
caexbcf(1:iefbc,1)=1.0; =.DTR5(_h  
cbexbcf(1:iefbc,1)=0.0; cZ^wQ5=  
for j=2:jebc b2G2cL-(  
  y1=(jebc-j+1.5)*dx; q5%2WM]6  
  y2=(jebc-j+0.5)*dx; k69kv9v@J  
  sigmay=bcfactor*(y1^(orderbc+1)-y2^(orderbc+1)); ]
)eOa%  
  ca1=exp(-sigmay*dt/(epsz*eps(1))); p`\3
if'  
  cb1=(1.0-ca1)/(sigmay*dx); X2i*iW<  
  caexbcf(1:iefbc,j)=ca1; v}Z9+ yRC2  
  cbexbcf(1:iefbc,j)=cb1; g8KY`MBnC&  
end +-U@0&Y3M  
sigmay = bcfactor*(0.5*dx)^(orderbc+1); FX7M4t#<  
ca1=exp(-sigmay*dt/(epsz*eps(1))); p=2zS.  
cb1=(1-ca1)/(sigmay*dx); Ft3I>=f{  
caex(1:ie,1)=ca1; R
|-6o)$  
cbex(1:ie,1)=cb1; ]y.Rg{iv  
caexbcl(1:iebc,1)=ca1; :=y0'f V(@  
cbexbcl(1:iebc,1)=cb1; DUqJ y*F(  
caexbcr(1:iebc,1)=ca1; xsYE=^uv  
cbexbcr(1:iebc,1)=cb1; Y=9qJ`q  
for j=1:jebc F@<O;b#Ip  
  y1=(jebc-j+1)*dx; ZOp^`c9~  
  y2=(jebc-j)*dx; UIQQ\,3  
  sigmay=bcfactor*(y1^(orderbc+1)-y2^(orderbc+1)); zkd3Z$C
e  
  sigmays=sigmay*(muz/(epsz*eps(1))); `(3SfQ-  
  cp1=exp(-sigmays*dt/muz); )^&,Dj  
  cq1=(1-cp1)/(sigmays*dx); WPtMds4  
 cphzybcf(1:iefbc,j)=cp1; >o#ERNf  
  cqhzybcf(1:iefbc,j)=cq1; ;8BA~,4l  
  caeybcf(1:ibfbc,j)=ca(1); 4e}{$s$Xx  
  cbeybcf(1:ibfbc,j)=cb(1); "t=UX -3  
  cphzxbcf(1:iefbc,j)=cp(1); J6DnPaw-G  
  cqhzxbcf(1:iefbc,j)=cq(1); K|US~Hgv  
end 'm[6v}  
%     BACK region 5!tb
$p#z  
caexbcb(1:iefbc,jbbc)=1.0; s\_l=v3  
cbexbcb(1:iefbc,jbbc)=0.0; sA3UeTf  
for j=2:jebc Tj&'KF8?L  
  y1=(j-0.5)*dx; .xEJaID\N  
  y2=(j-1.5)*dx; ?<! nm&~  
  sigmay=bcfactor*(y1^(orderbc+1)-y2^(orderbc+1)); AfN&n= d K  
  ca1=exp(-sigmay*dt/(epsz*eps(1))); F%Kp9I*  
  cb1=(1-ca1)/(sigmay*dx); &2Q*1YXj  
  caexbcb(1:iefbc,j)=ca1; >'N!dM.+9  
  cbexbcb(1:iefbc,j)=cb1; 7 %3<~'v[  
end o_sQQF  
sigmay = bcfactor*(0.5*dx)^(orderbc+1); r?\|f:M3  
ca1=exp(-sigmay*dt/(epsz*eps(1))); 3&$Nd  
cb1=(1-ca1)/(sigmay*dx); ("OAPr\2dw  
caex(1:ie,jb)=ca1; !5&%\NSv  
cbex(1:ie,jb)=cb1; Vd21,~^>g  
caexbcl(1:iebc,jb)=ca1; WK*S
4c  
cbexbcl(1:iebc,jb)=cb1; -]/7hN*v  
caexbcr(1:iebc,jb)=ca1; W+.{4K  
cbexbcr(1:iebc,jb)=cb1; 8-ZUS|7B  
for j=1:jebc kymn)Ea  
  y1=j*dx; C
w%BZ  
  y2=(j-1)*dx; ALfiR(!  
  sigmay=bcfactor*(y1^(orderbc+1)-y2^(orderbc+1)); BMdSf(l  
  sigmays=sigmay*(muz/(epsz*eps(1))); &-=K:;x  
  cp1=exp(-sigmays*dt/muz); Gbn4
*<N  
  ccq1=(1-cp1)/(sigmays*dx); T(JuL<PB  
  cphzybcb(1:iefbc,j)=cp1; @7fm1b  
  cqhzybcb(1:iefbc,j)=cq1; JIMWMk;ot  
  caeybcb(1:ibfbc,j)=ca(1); -3` "E%9  
  cbeybcb(1:ibfbc,j)=cb(1); U,'EF[t  
  cphzxbcb(1:iefbc,j)=cp(1); zi }(^~Fe  
  cqhzxbcb(1:iefbc,j)=cq(1); iTu0T!4F  
end .A(i=!{q  
%     LEFT region '#A:.P  
caeybcl(1,1:je)=1.0; Ge^Qar  
cbeybcl(1,1:je)=0.0; p'g^Wh  
for i=2:iebc 9qr UM`z$g  
  x1=(iebc-i+1.5)*dx; x~EKGoz3  
  x2=(iebc-i+0.5)*dx; Ew]<jF|.#  
  sigmax=bcfactor*(x1^(orderbc+1)-x2^(orderbc+1)); ]rnXNn;  
  ca1=exp(-sigmax*dt/(epsz*eps(1))); 2 Kla8  
  cb1=(1-ca1)/(sigmax*dx); 0vn[a,W<A  
  caeybcl(i,1:je)=ca1; nS.2C>A  
  cbeybcl(i,1:je)=cb1; :@/"abv
  
  caeybcf(i,1:jebc)=ca1; U;pe:  
  cbeybcf(i,1:jebc)=cb1; VRF6g|0;  
  caeybcb(i,1:jebc)=ca1; srK53vKMHW  
  cbeybcb(i,1:jebc)=cb1; +}U2@03I  
end -TTs.O8P|<  
sigmax=bcfactor*(0.5*dx)^(orderbc+1); a8
zZgIV  
ca1=exp(-sigmax*dt/(epsz*eps(1))); \DS^i`o)rY  
cb1=(1-ca1)/(sigmax*dx); qU-!7=}7  
caey(1,1:je)=ca1; +;dXDZ2  
cbey(1,1:je)=cb1; ;%WdvnW  
caeybcf(iebc+1,1:jebc)=ca1; (
UGol[f<  
cbeybcf(iebc+1,1:jebc)=cb1; \Tyf*:_F>  
caeybcb(iebc+1,1:jebc)=ca1; (N0sE"_~I5  
cbeybcb(iebc+1,1:jebc)=cb1; &wjB{%  
for i=1:iebc T9?54r  
  x1=(iebc-i+1)*dx; Tm_8<$ 7  
  x2=(iebc-i)*dx; ZE rdt:w  
  sigmax=bcfactor*(x1^(orderbc+1)-x2^(orderbc+1)); LWD#a~  
  sigmaxs=sigmax*(muz/(epsz*eps(1))); f?^S bp
 
  cp1=exp(-sigmaxs*dt/muz); U<[jT=L  
  cq1=(1-da1)/(sigmaxs*dx); q$T8bh,2  
  cphzxbcl(i,1:je)=cp1; iDw.i"b  
  cqhzxbcl(i,1:je)=cq1; _f|/*. @Q  
  cphzxbcf(i,1:jebc)=cp1; 3$_*N(e  
  cqhzxbcf(i,1:jebc)=cq1; 3fp> 4;ym'  
  cphzxbcb(i,1:jebc)=cp1; *T1~)z}j<  
  cqhzxbcb(i,1:jebc)=cq1; O,|\"b1(  
  caexbcl(i,2:je)=ca(1); P6YQK+  
  cbexbcl(i,2:je)=cb(1); 8+>\3j  
  cphzybcl(i,1:je)=cp(1); nvt$F%+  
  cqhzybcl(i,1:je)=cq(1); ~RInN+N#  
end M|8 3HTJ  
    4mJ
FvDZV`  
      +xp*]a  
%*********************************************************************** "r..  
%     Movie initialization Sy  
%*********************************************************************** K6B4sE  
subplot(2,1,2),pcolor(ez); `%=<R-/#7S  
shading flat; Jq)U</  
caxis([-1000000000 1000000000]); 2m"_
z  
axis([1 ib 1 jb]); DW|vMpU]u  
%axis([1 jb 1 ib]); 6,+nRiZ  
colorbar; h/K@IAd  
axis image; 9B=1Yr[  
axis off; )xt4Wk/  
title(('ez at time step = 0')); ne*#+Q{E  
5g>wV  
%*********************************************************************** =EpJZt  
%     BEGIN TIME-STEPPING LOOP Ly>OLI0x_  
%*********************************************************************** =cn~BnowY  
ezbcl(1:iebc,1:jb)=ezxbcl(1:iebc,1:jb)+ezybcl(1:iebc,1:jb); H\#:,s{1  
    ezbcr(1:iebc,1:jb)=ezxbcr(1:iebc,1:jb)+ezybcr(1:iebc,1:jb); Ri @`a  
    ezbcf(1:ibfbc,1:jebc)=ezxbcf(1:ibfbc,1:jebc)+ezybcf(1:ibfbc,1:jebc); H^ BYd%-  
    ezbcb(1:ibfbc,1:jebc)=ezxbcb(1:ibfbc,1:jebc)+ezybcb(1:ibfbc,1:jebc); 7W|Zq6pi  
    M{E{NK  
for n=1:nmax 'zxoRc-b@N  
%*********************************************************************** kZxW"2  
%     Update electric fields (ez,hx,hy) in main grid [zh"x#AyI  
%*********************************************************************** h e&V# #  
   0 iRR{a<  
    x=source(n).*10e20; wa ky<w,  
  "!KpXBc,>  
     ez(is,js)=ez(is,js)+x;%      lhO2'#]i  
    ez(2:ie,2:je)=caez(2:ie,2:je).*ez(2:ie,2:je)+... 3=- })X;  
        cbez(2:ie,2:je).*((hy(2:ie,2:je)-hy(1:ie-1,2:je))-... ehT%s+aUw  
        (hx(2:ie,2:je)-hx(2:ie,1:je-1))) eFFc9'o  
   * t!r@k  
    hx(1:ie,1:je)=cphx(1:ie,1:je).*hx(1:ie,1:je)+... /:p8I6;  
        cqhx(1:ie,1:je).*(ez(1:ie,2:jb)-ez(1:ie,1:je)); 8r^ ~0nm  
    hy(1:ie,1:jb)=cphy(1:ie,1:jb).*hy(1:ie,1:jb)+... n8u*JeN  
        cqhy(1:ie,1:jb).*(ez(2:ib,1:jb)-ez(1:ie,1:jb)); h1f8ktF  
   sV2iITFp  
ezxbcfn(1:ibfbc,1:jebc)=ezxbcf(1:ibfbc,1:jebc); p/*"4-S  
ezybcfn(1:ibfbc,1:jebc)=ezybcf(1:ibfbc,1:jebc); =~jAoOC@  
%ezybcf(2:iefbc,2)=ezybcf(2:iefbc,2);       %fields in front region Js{=i>D  
ezbcfn(1:ibfbc,1:jebc)=ezbcf(1:ibfbc,1:jebc); 9M'DC^x*T  
QVtM.oi!Q  
ezxbcbn(1:ibfbc,1:jebc)=ezxbcb(1:ibfbc,1:jebc); e&1\'Zq?>  
ezybcbn(1:ibfbc,1:jebc)=ezybcb(1:ibfbc,1:jebc); S GM!#K  
%ezybcbn(2:iefbc,jebc-1)=ezybcb(2:iefbc,jebc-1);       %fields in back region $iPP|Rw  
ezbcbn(1:ibfbc,1:jebc)=ezbcb(1:ibfbc,1:jebc); Q9slfQ  
%ezbcln(iebc-1,1)=ezbcl(iebc-1,1); < kP+eD  
%ezbcln(2,jb)=ezbcln(2,jb); .~mCXz<x  
%ezbcf(ibbc,1)=ezbcbn(ibbc-1,2) |=5/Rax^  
ezxbcln(1:iebc,1:jb)=ezxbcl(1:iebc,1:jb); 8\# ^k#X  
ezybcln(1:iebc,1:jb)=ezybcl(1:iebc,1:jb);        %fields in left region l r~gG3  
ezbcln(1:iebc,1:jb)=ezbcl(1:iebc,1:jb); >qh?L#Fk  
%ezbcf(1,1)=ezbcfn(2,2) 3Aj*\e0t  
ezxbcrn(1:iebc,1:jb)=ezxbcr(1:iebc,1:jb); g_z/{1$  
ezybcrn(1:iebc,1:jb)=ezybcr(1:iebc,1:jb);       %fields in right region :E'P7A  
ezbcrn(1:iebc,1:jb)=ezbcr(1:iebc,1:jb); FjFwvO_.  
    Yb:pAzw6  
    % left }ZzLs/v%X  
    hxbcl(1:iebc,1:je)=cphxbcl(1:iebc,1:je).*hxbcl(1:iebc,1:je)+... x_!ZycEa  
        cqhxbcl(1:iebc,1:je).*(ezbcl(1:iebc,1:je)-ezbcl(1:iebc,2:jb)); 8\Hr5FqB(  
    hybcl(1:iebc-1,1:jb)=cphybcl(1:iebc-1,1:jb).*hybcl(1:iebc-1,1:jb)+... kg>>D  
        cqhybcl(1:iebc-1,1:jb).*(ezbcl(2:iebc,1:jb)-ezbcl(1:iebc-1,1:jb)); XUSvhr$|  
    ezxbcl(2:iebc,1:jb)=caezxbcl(2:iebc,1:jb).*ezxbcl(2:iebc,1:jb)+... H?
Jm'\~  
        cbezxbcl(2:iebc,1:jb).*(hybcl(2:iebc,1:jb)-hybcl(1:iebc-1,1:jb)); R#eg^7HfX  
    ezybcl(1:iebc,2:je)=caezybcl(1:iebc,2:je).*ezybcl(1:iebc,2:je)+... zOB=aG?/  
        cbezybcl(1:iebc,2:je).*(hxbcl(1:iebc,2:je)-hxbcl(1:iebc,1:je-1)); 4l @)K9F  
    % right X3B{8qx_>  
    hxbcr(1:iebc,1:je)=cphxbcr(1:iebc,1:je).*hxbcr(1:iebc,1:je)+... WG5W0T_  
        cqhxbcr(1:iebc,1:je).*(ezbcr(1:iebc,1:je)-ezbcr(1:iebc,2:jb)); &tE.6^F
 
    hybcr(2:iebc,1:jb)=cphybcr(2:iebc,1:jb).*hybcr(2:iebc,1:jb)+... v}[dnG  
        cqhybcr(2:iebc,1:jb).*(ezbcr(2:iebc,1:jb)-ezbcr(1:iebc-1,1:jb)); LM"y\q ]  
    ezxbcr(1:iebc-1,1:jb)=caezxbcr(1:iebc-1,1:jb).*ezxbcr(1:iebc-1,1:jb)+... "b,%8  
        cbezxbcl(1:iebc-1,1:jb).*(hybcr(2:iebc,1:jb)-hybcr(1:iebc-1,1:jb)); DWm SC}{.  
    ezybcr(1:iebc,2:je)=caezybcr(1:iebc,2:je).*ezybcr(1:iebc,2:je)+...      gQouOjfP  
        cbezybcl(1:iebc,2:je).*(hxbcr(1:iebc,2:je)-hxbcr(1:iebc,1:je-1)); e:-8k_0|
 
    % down a$JLc a  
    hxbcf(1:ibfbc,1:jebc-1)=cphxbcf(1:ibfbc,1:jebc-1).*hxbcf(1:ibfbc,1:jebc-1)+... *e/K:k  
        cqhxbcf(1:ibfbc,1:jebc-1).*(ezbcf(1:ibfbc,2:jebc)-ezbcf(1:ibfbc,1:jebc-1)); _0(7GE13p  
    hybcf(1:iefbc,1:jebc)=cphybcf(1:iefbc,1:jebc).*hybcf(1:iefbc,1:jebc)+... `.v(fC  
        cqhybcf(1:iefbc,1:jebc).*(ezbcf(2:ibfbc,1:jebc)-ezbcf(1:iefbc,1:jebc)); s'u(B]E  
    ezxbcf(2:iefbc,1:jebc)=caezxbcf(2:iefbc,1:jebc).*ezxbcf(2:iefbc,1:jebc)+... o#D.9K(  
        cbezxbcf(2:iefbc,1:jebc).*(hybcf(2:iefbc,1:jebc)-hybcf(1:iefbc-1,1:jebc)); ~uj;qq  
    ezybcf(1:ibbc,2:jebc)=caezybcf(1:ibbc,2:jebc).*ezybcf(1:ibbc,2:jebc)+... YRcps0Dx9  
        cbezybcf(1:ibbc,2:jebc).*(hxbcf(1:ibbc,2:jebc)-hxbcf(1:ibbc,1:jebc-1)); J/W{/E>;  
    % up ,Z~;U  
    hxbcb(1:ibfbc,2:jebc)=cphxbcb(1:ibfbc,2:jebc).*hxbcb(1:ibfbc,2:jebc)+... Qh`:<KI  
        cqhxbcb(1:ibfbc,2:jebc).*(ezbcb(1:ibfbc,2:jebc)-ezbcb(1:ibfbc,1:jebc-1)); T):SGW  
    hybcb(1:iefbc,1:jebc)=cphxbcb(1:iefbc,1:jebc).*hxbcb(1:iefbc,1:jebc)+... *>."V5{;S  
        cqhybcb(1:iefbc,1:jebc).*(ezbcb(2:ibfbc,1:jebc)-ezbcb(1:iefbc,1:jebc)); "A[ b rG  
    ezxbcb(2:iefbc,1:jebc)=caezxbcb(2:iefbc,1:jebc).*ezxbcb(2:iefbc,1:jebc)+... =yXs?y"  
        cbezxbcb(2:iefbc,1:jebc).*(hybcb(2:iefbc,1:jebc)-hybcb(1:iefbc-1,1:jebc)); Y*LaBxt Q  
    ezybcb(1:ibbc,1:jebc-1)=caezybcb(1:ibbc,1:jebc-1).*ezybcb(1:ibbc,1:jebc-1)+... x0Z5zV9  
        cbezybcb(1:ibbc,1:jebc-1).*(hxbcb(1:ibbc,2:jebc)-hxbcb(1:ibbc,1:jebc-1)); L1#Ij#  
    .CbGDZ  
    {{!Y]\2S  
% ezx \#,t O%D  
% left line %*
W<vu>H  
ezbcl(1,2:je)=ezbcln(2,2:je)+(cc*dt-dx)/(cc*dt+dx)*(ezbcl(2,2:je)-... nE|@IGH  
    ezbcl(1,2:je))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcl(1,2:je)-... Vrp[r *V@E  
    hxbcl(1,1:je-1)+hxbcl(2,2:je)-hxbcl(2,1:je-1)); !;3PG9n3|h  
ezbcf(1,2:jebc)=ezbcfn(2,2:jebc)+(cc*dt-dx)/(cc*dt+dx)*(ezbcf(2,2:jebc)-... L*JPe"N-e  
    ezbcf(1,2:jebc))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcf(1,2:jebc)-... tju|UhP3  
    hxbcf(1,1:jebc-1)+hxbcf(2,2:jebc)-hxbcf(2,1:jebc-1)); ?c#$dc"  
ezbcb(1,1:jebc-1)=ezbcbn(2,1:jebc-1)+(cc*dt-dx)/(cc*dt+dx)*(ezbcb(2,1:jebc-1)-... -
]S.<8<$
 
    ezbcb(1,1:jebc-1))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcb(1,2:jebc)-... $nPAm6mH  
    hxbcb(1,1:jebc-1)+hxbcb(2,2:jebc)-hxbcb(2,1:jebc-1)); i::\Z$L";i  
ezbcl(1,1)=ezbcln(2,1)+(cc*dt-dx)/(cc*dt+dx)*(ezbcl(2,1)-... 0KvVw rWJ  
    ezbcl(1,1))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcl(1,1)-... Q@QFV~  
    hxbcf(1,jebc)+hxbcl(2,1)-hxbcf(2,jebc)); ig_2={Q@  
ezbcl(1,jb)=ezbcln(2,jb)+(cc*dt-dx)/(cc*dt+dx)*(ezbcl(2,jb)-... =Ho"N`Qy  
    ezbcl(1,jb))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcb(1,1)-... ziEz.Wn"  
    hxbcl(1,je)+hxbcb(2,1)-hxbcl(2,je)); m,_d^  
% right line Q+$Tt7/  
ezbcr(iebc,2:je)=ezbcrn(iebc-1,2:je)+(cc*dt-dx)/(cc*dt+dx)*(ezbcr(iebc-1,2:je)-... 9uYyfb: ,z  
    ezbcr(iebc,2:je))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcr(iebc,2:je)-... }!s!;BOx  
    hxbcr(iebc,1:je-1)+hxbcr(iebc-1,2:je)-hxbcr(iebc-1,1:je-1)); ..<3%fL3  
ezbcf(ibfbc,2:jebc)=ezbcfn(ibfbc-1,2:jebc)+... glUo7^ay7  
    (cc*dt-dx)/(cc*dt+dx)*(ezbcf(ibfbc-1,2:jebc)-... cQUC.TZ_  
    ezbcf(ibfbc,2:jebc))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcf(ibfbc,2:jebc)-... \a|L/9%  
    hxbcf(ibfbc,1:jebc-1)+hxbcf(ibfbc-1,2:jebc)-hxbcf(ibfbc-1,1:jebc-1)); g,kzQ}_  
ezbcb(ibfbc,1:jebc-1)=ezbcbn(ibfbc-1,1:jebc-1)+... Ee2c5C!|C  
    (cc*dt-dx)/(cc*dt+dx)*(ezbcb(ibfbc-1,1:jebc-1)-... c&'JmKV>&  
    ezbcb(ibfbc,1:jebc-1))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcb(ibfbc,2:jebc)-... x\@*60o  
    hxbcb(ibfbc,1:jebc-1)+hxbcb(ibfbc-1,2:jebc)-hxbcb(ibfbc-1,1:jebc-1)); 80B>L  
ezbcr(iebc,1)=ezbcln(iebc-1,1)+(cc*dt-dx)/(cc*dt+dx)*(ezbcl(iebc-1,1)-... r\M9_s8  
    ezbcl(iebc,1))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcr(iebc,1)-... MI#mAg<  
    hxbcf(ibbc,jebc)+hxbcr(2,1)-hxbcf(ibbc-1,jebc)); R,_d1^|*w  
ezbcr(iebc,jb)=ezbcln(iebc,jb)+(cc*dt-dx)/(cc*dt+dx)*(ezbcl(iebc-1,jb)-... `-UJ /{  
    ezbcl(iebc,jb))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcb(iebc,1)-...
aT!;{+  
    hxbcl(iebc,je)+hxbcb(iebc-1,1)-hxbcl(iebc-1,je)); =f7r69I"  
% left down corner 6}dR$*=  
ezbcf(1,1)=ezbcfn(2,2)+... l]_=:)" ]  
    (cc*dt-2^(1/2)*dx)/(cc*dt+2^(1/2)*dx)*(ezbcf(2,2)-... *}!MOqP  
    ezbcf(1,1)); 3,eIB(  
% right down corner [QczlwmO  
ezbcf(ibbc,1)=ezbcbn(ibbc-1,2)+... z/]q)`G  
    (cc*dt-2^(1/2)*dx)/(cc*dt+2^(1/2)*dx)*(ezbcb(ibbc-1,2)-... S h4wqf  
    ezbcf(ibbc,1)); 39TT{>?`w  
% left up corner NAr1[{^E,  
ezbcb(1,jebc)=ezbcbn(2,jebc-1)+... G^Tk 20*  
    (cc*dt-2^(1/2)*dx)/(cc*dt+2^(1/2)*dx)*(ezbcb(2,jebc-1)-... #exss=as/  
    ezbcb(1,jebc)); .tXtcf/  
% right up corner KMK`F{  
ezbcb(ibbc,jebc)=ezbcbn(ibbc-1,jebc-1)+... L;6.
r3bL  
    (cc*dt-2^(1/2)*dx)/(cc*dt+2^(1/2)*dx)*(ezbcb(ibbc-1,jebc-1)-... !Pj/7JC0  
    ezbcb(ibbc,jebc)); `a]44es9q  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% l{WjDed  
% ezy ,|T7hTn=  
% bcl:up down A(d5G^  
    ezybcl(1:iebc,1)=caezybcl(1:iebc,1).*ezybcl(1:iebc,1)+... $u9]yiY.{  
        cbezybcl(1:iebc,1).*(hxbcl(1:iebc,1)-hxbcf(1:iebc,jebc)); Z)"61) )  
    ezybcl(1:iebc,jb)=caezybcl(1:iebc,jb).*ezybcl(1:iebc,jb)+... SUtf[6  
        cbezybcl(1:iebc,jb).*(hxbcb(1:iebc,1)-hxbcl(1:iebc,je)); z1V#'$_5-  
    %bcr: up down X%{'<
baR  
    ezybcr(1:iebc,1)=caezybcr(1:iebc,1).*ezybcr(1:iebc,1)+... adO&_NR  
        cbezybcl(1:iebc,1).*(hxbcr(1:iebc,1)-hxbcf(1:iebc,jebc)); e}{U7xQm1  
    ezybcr(1:iebc,jb)=caezybcr(1:iebc,jb).*ezybcr(1:iebc,jb)+... T-" I9kM  
        cbezybcl(1:iebc,jb).*(hxbcb(1:iebc,1)-hxbcr(1:iebc,je)); .[s2zI  
    % bcf: down \wav?;z  
    ezybcf(2:iefbc,1)=ezybcfn(2:iefbc,2)+... cO#oH2}  
        (cc*dt-dx)/(cc*dt+dx)*(ezybcf(2:iefbc,2)-ezybcf(2:iefbc,1))-...              %注意公式中正负 5g ;ac~g  
        cc*cc*muz*dt/2*(cc*dt+dx)*(hybcf(1:iefbc-1,1)-... d/,E2i{I7  
        hybcf(2:iefbc,1)+hybcf(1:iefbc-1,2)-hybcf(2:iefbc,2)); wts:65~  
    % bcb: up MXvXVhCU  
    ezybcb(2:iefbc,jebc)=ezybcbn(2:iefbc,jebc-1)+... O8u3y  
        (cc*dt-dx)/(cc*dt+dx)*(ezbcb(2:iefbc,jebc-1)-ezbcb(2:iefbc,jebc))-... eE]hy'{d<  
        cc*cc*muz*dt/2*(cc*dt+dx)*(hybcb(1:iefbc-1,jebc)-... p@Q5b}xCG_  
   &n .. j 6)Y  
k9si|'  

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