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求牛人帮我改一下2D-TM的MATLAB程序
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求牛人帮我改一下2D-TM的MATLAB程序
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小米
UID :55468
注册:
2010-03-23
登录:
2010-10-18
发帖:
9
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发表于: 2010-04-20 10:11:17
此悬赏帖已过期
最佳答案:5 rf币
,热心助人剩余点数: 1 rf币。
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~
)Cl>% 9
!,$#i
K9lekevB
J(l\VvK
d/bimQ
8i154#l+\
&h0LWPl
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
u<Kowt<ci
% fundamental constants (in the dimesion of m)
$Lr&V~
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
' @RF
cc=2.99792458e8; %speed of light in free space
@"@|O>KJ
muz=4.0*pi*1.0e-7; %permeability of free space
E ?Mgbd3
epsz=1.0/(cc*cc*muz); %permittivity of free space
rXi&8R[
lambda=1.55e-6; %center wavelength of source excitation
1EXT^2!D
freq=cc/lambda; %center frequency of source excitation
F(yR\)!C
omega=2.0*pi*freq;
'9zW#b
%***********************************************************************
.;]WcC<3
% Grid parameters (in the dimesion of m)
M bWby'
%***********************************************************************
UDh\%?j
ie=320; %number of grid cells in x-direction
k1<^Ept
je=44; %number of grid cells in y-direction
V 9Qt;]mQ
ib=ie+1;
oFj_o
jb=je+1;
6u0>3-[6OD
is=5; %location of x-directed hard source
KClkPL!jP
js=je/2; %location of x-directed hard source
[(heE
dx=5.0e-9; %space increment of square lattice
\ZZ6r^99
dt=lambda/(pi*cc); %time step
o]q~sJVk6
nmax=3300; %total number of time steps
~t)cbF(UO
iebc=8; %thickness of left and right PML region
Jh3
jebc=8; %thickness of front and back PML region
He(65ciT<O
ibbc=iebc+1;
cu N9RG
jbbc=jebc+1;
zr/v .$<
iefbc=ie+2*iebc;
)2Ei<
jefbc=je+2*jebc;
9j:]<?D,A
ibfbc=iefbc+1;
Vr EGR$
jbfbc=jefbc+1;
Hz.i $L0}
%***********************************************************************
Z)s !p
% Material parameters
=&z+7Pe[
%***********************************************************************
2iG+Ek-?"
media=2;
-G.N
omegap=1.34639e16;
MY,~leP&
epsm1=1.999+omegap^2/((9.61712e-13i)*omega-omega^2);
bzFac5n)Q
epsm=real(epsm1);
J<0{3pZY
eps=[1.0 epsm ];
<D/K[mz-
sig=[0.0 8.85e-18];
A|\A|8=b
mur=[1.0 4.0*pi*1.0e-7];
,`}yJ*7
sim=[0.0 0.0];
w7Yu} JY^
%***********************************************************************
"E\vdhk
% Wave excitation
LDr?'M!D
%***********************************************************************
]q1w@)]n}
rtau=10*lambda/pi/cc;
Uj7YTB
tau=rtau/dt;
Voo'ZeZa
delay=3*tau;
nQ\` ]_C
source=zeros(1,nmax);
CPJ21^
for n=1:7.0*tau
I=kqkuW
source(n)=sin(omega*(n-delay)*dt)*exp(-((n-delay)^2/tau^2));
5@2Rl>B$
end
Sb[>R(0:
subplot(2,1,1)
8"j $=T6;W
plot(source)
+MX~1RU+
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
!T,<p
% fields
::>|[ND
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
.dU91> ~Ov
ez=zeros(ib,jb);
pG#tMec
hx=zeros(ib,je); %fields in main grid
|M;Nq@bRv
hy=zeros(ie,jb);
h9QM nH'
ezbcf=zeros(ibfbc,jebc);
p< 7rF_?W0
ezxbcf=zeros(ibfbc,jebc);
G}8tFo.d1
ezybcf=zeros(ibfbc,jebc);
klUV&O+=%
hxbcf=zeros(ibfbc,jebc); %fields in front region
!-lI<$S:
hybcf=zeros(iefbc,jebc);
FOQ-KP\=,
ezbcb=zeros(ibfbc,jebc);
)/jDt dI
ezxbcb=zeros(ibfbc,jebc);
pTCD1)
ezybcb=zeros(ibfbc,jebc);
R!M'
hxbcb=zeros(ibfbc,jebc); %fields in back region
rWTaCU^qV
hybcb=zeros(iefbc,jebc);
nK;d\DO
ezbcl=zeros(iebc,jb);
|Q/LC0?
ezxbcl=zeros(iebc,jb);
ni/s/^
ezybcl=zeros(iebc,jb);
CtCReH03
hxbcl=zeros(iebc,je); %fields in left region
7Mh'x:p
hybcl=zeros(iebc,jb);
3+Lwtb}XPF
ezbcr=zeros(iebc,jb);
~^2w)-N
ezxbcr=zeros(iebc,jb);
?{ )'O+s
ezybcr=zeros(iebc,jb);
cg8/v:B
hxbcr=zeros(iebc,je); %fields in right region
th{f|fm62
hybcr=zeros(iebc,jb);
k* C69
%************************************************************************
uOv<*Jld*
%ezxbcfn(1:ibfbc,1:jebc)=ezxbcf(1:ibfbc,1:jebc);
N|yA]dg[
%ezybcfn(1:ibfbc,1:jebc)=ezybcf(1:ibfbc,1:jebc);
l ms^|?
%hxbcfn(1:ibfbc,1:jebc)=hxbcf(1:ibfbc,1:jebc); %fields in front region******************************************************************************************
lwQ!sH[M
%hybcfn(1:iefbc,1:jebc)=hybcf(1:iefbc,1:jebc);
Fqeqn[,
8xLQ" l+"
%ezxbcbn(1:ibfbc,1:jebc)=ezxbcb(1:ibfbc,1:jebc);
NCKR<!(
%ezybcbn(1:ibfbc,1:jebc)=ezybcb(1:ibfbc,1:jebc);
T \/^4N`
%hxbcbn(1:ibfbc,1:jebc)=hxbcb(1:ibfbc,1:jebc); %fields in back region********************************************************************************************
|KhpF1/(
%hybcbn(1:iefbc,1:jebc)=hybcb(1:iefbc,1:jebc);
".>#Qp%
rN&fFI
%ezxbcln(1:iebc,1:jb)=ezxbcl(1:iebc,1:jb);
N/o?\q8
%ezybcln(1:iebc,1:jb)=ezybcl(1:iebc,1:jb);
}!iopu
%hxbcln(1:iebc,1:je)=hxbcl(1:iebc,1:je); %fields in left region
L ci?
%hybcln(1:iebc,1:jb)=hybcl(1:iebc,1:jb);
}ppApJT
+ywz@0nx
%ezxbcrn(1:iebc,1:jb)=ezxbcr(1:iebc,1:jb);
;5/Se"Nd
%ezybcrn(1:iebc,1:jb)=ezybcr(1:iebc,1:jb);
TB>_#+:
%hxbcrn(1:iebc,1:je)=hxbcr(1:iebc,1:je); %fields in right region
?Z{/0X)]|
%hybcrn(1:iebc,1:jb)=hybcr(1:iebc,1:jb);
0XA\Ag\`G
%***********************************************************************
@ym:@<D
% Updating coefficients
c +]r
%***********************************************************************
eQ'E`S_d
t\/H. Hb
for i=1;media
jA,y.(mR
eaf =dt*sig(i)./(2.0*epsz*eps(i));
&}u_e`A
ca(i)=(1.0-eaf)/(1.0+eaf);
lf(+]k30
cb(i)=dt/epsz/eps(i)./dx/(1.0+eaf);
x<l 5wh
haf =dt*sim(i)./(2.0*muz*mur(i));
wo&IVy@s$
cp(i)=(1.0-haf)/(1.0+haf);
(]q ([e
cq(i)=dt/muz/mur(i)./dx./(1.0+haf);
K}cZK
end
96\FJHtZ
%for i=2
U<=TAWZ@
%eaf =dt*sig(i)./(2.0*epsz*eps(i));
:rr<#F
%ca2=(1.0-eaf)/(1.0+eaf);
(')t>B1Z
%cb2=dt/epsz/eps(i)./dx/(1.0+eaf);
I%4eX0QY=z
%haf =dt*sim(i)./(2.0*muz*mur(i));%
ck;:84
% cp2=(1.0-haf)/(1.0+haf);
%1{S{FB
%cq2=dt/muz/mur(i)./dx./(1.0+haf);
q?j7bp]
%end
#X)DFAtb
>J9Qr#=H2
%***********************************************************************
s>DFAu!
% Geometry specification (main grid)
0")_%
%***********************************************************************
U9]&KNx
% Initialize entire main grid to free space
<2(X?,N5BD
caez(1:ib,1:jb)=ca1;
:7(fBf5
cbez(1:ib,1:jb)=cb1;
!\'w>y7
cphx(1:ib,1:je)=cp1;
vVB WhY]
cqhx(1:ib,1:je)=cq1;
Jj]<SWh
cphy(1:ie,1:jb)=cp1;
t 9(,JC0
cqhy(1:ie,1:jb)=cq1;
>(2;(TbQm0
% boundary of main zone
Ue9d0#9
sigmamax=1e-17; %????????????????????????????????
A5R"|<UPR
%for i=140:180
yFAUD ro
for j=3
2po8n_
eaf =dt*(sig(2)+sigmamax/64)/(2.0*epsz*eps(2));
w?D=
caez(140:180,j)=(1.0-eaf)/(1.0+eaf);
Ge)G.> c
cbez(140:180,j)=dt/epsz/eps(2)/dx/(1.0+eaf);
S8v,'Cc
end
J)g +I
%end
ar@,SKU'K
%for i=140:180
_oZ3n2v}@
for j=42
|~76dxU
eaf =dt*(sig(2)+sigmamax/64)/(2.0*epsz*eps(2));
-d?<t}a
caez(140:180,j)=(1.0-eaf)/(1.0+eaf);
htYfIy{5w
cbez(140:180,j)=dt/epsz/eps(2)/dx/(1.0+eaf);
m<n+1
end
w%wVB/(
%end
_&HFKpHQ
for i=140
!v3d:n\W8
%for j=3:42
bSTori5
eaf =dt*(sig(2)+sigmamax/64)/(2.0*epsz*eps(2));
67/@J)z0%
caez(i,3:42)=(1.0-eaf)/(1.0+eaf);
.\`MoH
cbez(i,3:42)=dt/epsz/eps(2)/dx/(1.0+eaf);
=&g:dX|q8
%end
c:=HN-*vQ
end
&kf \[|y
for i=180
|+h x2?Nv
% for j=3:42
6Lq8#{/]u
eaf =dt*(sig(2)+sigmamax/64)/(2.0*epsz*eps(2));
ZW))Mx#K=T
caez(i,3:42)=(1.0-eaf)/(1.0+eaf);
k'X"jon
cbez(i,3:42)=dt/epsz/eps(2)/dx/(1.0+eaf);
G$)q% b;Lz
%end
<YCjo[(~
end
\ $TM=Ykj
% add SMG
&x (D%+
for i=141:179
,M]W_\N~E
for j=4:41
#F/W_G7 v
caez(i,j)=ca2;
#pWy%U
cbez(i,j)=cb2;
l )r^|9{
cphx(i,j)=cp2;
qW3XA$g|j'
cqhx(i,j)=cq2;
+v%+E{F$+
cphy(i,j)=cp2;
"vYjL&4h
cqhy(i,j)=cq2;
h9d*N 9!;M
end
\HD:#a
end
&xr (Kb
Zc";R!At
% Fill the PML regions
]@_|A, ]
caezxbcf=zeros(ibfbc,jebc);
{%2p(5FB
cbezxbcf=zeros(ibfbc,jebc);
2X`t&zg
caezybcf=zeros(ibfbc,jebc);
`m V(:
cbezybcf=zeros(ibfbc,jebc);
rXSw@pqZ&
cphxbcf=zeros(ibfbc,jebc); %fields in front region
hB'rkjt
cqhxbcf=zeros(ibfbc,jebc);
oVl:g:K40
cphybcf=zeros(iefbc,jebc);
&gh>'z;`r
cqhybcf=zeros(iefbc,jebc);
f3;[ZS
caezxbcb=zeros(ibfbc,jebc);
^!m%:r7Dr
cbezxbcb=zeros(ibfbc,jebc);
5> 81Vhc,
caezybcb=zeros(ibfbc,jebc);
2n"-~'3\
cbezybcb=zeros(ibfbc,jebc);
-4Q\FLC'k
cphxbcb=zeros(ibfbc,jebc); %fields in back region
MHE/#G
cqhxbcb=zeros(ibfbc,jebc);
B8wGWZ@
cphybcb=zeros(iefbc,jebc);
pw))9~XU
cqhybcb=zeros(iefbc,jebc);
a{e1g93}
caezxbcl=zeros(iebc,jb);
4{,!'NA
cbezxbcl=zeros(iebc,jb);
S!-t{Q+j^
caezybcl=zeros(iebc,jb);
ndyIsR
cbezybcl=zeros(iebc,jb);
87pu\(,'
cphxbcl=zeros(iebc,je); %fields in left region
"SuG6!k3
cqhxbcl=zeros(iebc,je);
4[Ko|
cphybcl=zeros(iebc,jb);
r{*Qsaw
cqhybcl=zeros(iebc,jb);
{#=o4~u%;H
4tkb7D q
caezxbcr=zeros(iebc,jb);
(Rs;+S
cbezxbcr=zeros(iebc,jb);
lNe5{'OrO
caezybcr=zeros(iebc,jb);
)REegFN@
cbezybcr=zeros(iebc,jb);
c*w0Jz>@.7
cphxbcr=zeros(iebc,je); %fields in right region
\1u^?cBd
cqhxbcr=zeros(iebc,je);
$U&p&pgH=W
cphybcr=zeros(iebc,jb);
s4Jy96<
cqhybcr=zeros(iebc,jb);
~Y1nU-
%a=ones(iebc,je);
U+-;(Fh~
%***********************************************************************
;<MHl[jJD
% Fill the PML regions
a U<+ `
%***********************************************************************
aEEb1Y
rmax=0.00001;
zl, Vj%d
orderbc=2;
'0Q/oU
delbc=iebc*dx;
sCf)#6mI
sigmam=-log(rmax/100.0)*epsz*cc*(orderbc+1)/(2*delbc);
!;t6\Z8&
bcfactor=eps(1)*sigmam/(dx*(delbc^orderbc)*(orderbc+1));
h1Y^+A_
rmax=0.00001;
A'uubFRL2[
orderbc=2;
aYtW!+#
% FRONT region
O*F= xG
caexbcf(1:iefbc,1)=1.0;
p=[I;U-#H
cbexbcf(1:iefbc,1)=0.0;
B<|Vm.D
for j=2:jebc
8XCT[X
y1=(jebc-j+1.5)*dx;
2L.6!THG
y2=(jebc-j+0.5)*dx;
N5MWMN[6aP
sigmay=bcfactor*(y1^(orderbc+1)-y2^(orderbc+1));
RdjoVCf
ca1=exp(-sigmay*dt/(epsz*eps(1)));
=OrVaZ0
cb1=(1.0-ca1)/(sigmay*dx);
cI6Td*vM
caexbcf(1:iefbc,j)=ca1;
Nbf>Y
cbexbcf(1:iefbc,j)=cb1;
3#uc+$[
end
}_}LaEYAo
sigmay = bcfactor*(0.5*dx)^(orderbc+1);
dF&@q,
ca1=exp(-sigmay*dt/(epsz*eps(1)));
d_[zt)
cb1=(1-ca1)/(sigmay*dx);
eOb)uIF
caex(1:ie,1)=ca1;
6 G,cc
cbex(1:ie,1)=cb1;
u3cl7~- yW
caexbcl(1:iebc,1)=ca1;
16ip:/5
cbexbcl(1:iebc,1)=cb1;
qus%?B{b}
caexbcr(1:iebc,1)=ca1;
SJ,];mC0
cbexbcr(1:iebc,1)=cb1;
'^Q$:P{G?
for j=1:jebc
;+3@S`2r
y1=(jebc-j+1)*dx;
aMK\&yZD
y2=(jebc-j)*dx;
*I9O63
sigmay=bcfactor*(y1^(orderbc+1)-y2^(orderbc+1));
f]Zj"Tt-
sigmays=sigmay*(muz/(epsz*eps(1)));
+wEsfYW
cp1=exp(-sigmays*dt/muz);
X=jD^"-
cq1=(1-cp1)/(sigmays*dx);
nGDY::nUE
cphzybcf(1:iefbc,j)=cp1;
1#zD7b~
cqhzybcf(1:iefbc,j)=cq1;
ND3|wQ`M0
caeybcf(1:ibfbc,j)=ca(1);
Z0 c|;
cbeybcf(1:ibfbc,j)=cb(1);
bdBLfWe
cphzxbcf(1:iefbc,j)=cp(1);
_GoFwVO
cqhzxbcf(1:iefbc,j)=cq(1);
Nah\4-75&
end
8yswi[
% BACK region
LCSJIt
caexbcb(1:iefbc,jbbc)=1.0;
QqC-ztz
cbexbcb(1:iefbc,jbbc)=0.0;
7?y([i\y
for j=2:jebc
b-#oE{(\'
y1=(j-0.5)*dx;
MbQ%'z6D
y2=(j-1.5)*dx;
Tkj F/zv
sigmay=bcfactor*(y1^(orderbc+1)-y2^(orderbc+1));
/mn'9=ks
ca1=exp(-sigmay*dt/(epsz*eps(1)));
p8iKZI]g
cb1=(1-ca1)/(sigmay*dx);
)ItW}1[I
caexbcb(1:iefbc,j)=ca1;
*y~~~ 'J/
cbexbcb(1:iefbc,j)=cb1;
#8WHIDS>
end
LmKY$~5P
sigmay = bcfactor*(0.5*dx)^(orderbc+1);
H@|m^1
ca1=exp(-sigmay*dt/(epsz*eps(1)));
H:q;IYE+a
cb1=(1-ca1)/(sigmay*dx);
bz`rSp8h
caex(1:ie,jb)=ca1;
tt&{f <*
cbex(1:ie,jb)=cb1;
:c:}_t{%
caexbcl(1:iebc,jb)=ca1;
]~pM;6Pu0
cbexbcl(1:iebc,jb)=cb1;
yx<-M
caexbcr(1:iebc,jb)=ca1;
%mS>v|
cbexbcr(1:iebc,jb)=cb1;
}'p*C$
for j=1:jebc
9 H>JS
y1=j*dx;
.;dI&0Z
y2=(j-1)*dx;
0Fs2* FS
sigmay=bcfactor*(y1^(orderbc+1)-y2^(orderbc+1));
i66/2BUh.
sigmays=sigmay*(muz/(epsz*eps(1)));
( _MY;S
cp1=exp(-sigmays*dt/muz);
GCrsf
ccq1=(1-cp1)/(sigmays*dx);
cVaGgP}\
cphzybcb(1:iefbc,j)=cp1;
%YG[?"P'
cqhzybcb(1:iefbc,j)=cq1;
u&j_;Y !6
caeybcb(1:ibfbc,j)=ca(1);
2\"T&
cbeybcb(1:ibfbc,j)=cb(1);
_!yUr5&,Br
cphzxbcb(1:iefbc,j)=cp(1);
[KEw5-=i@
cqhzxbcb(1:iefbc,j)=cq(1);
S;u2B_/
end
:?gp}.
% LEFT region
0|mCk
caeybcl(1,1:je)=1.0;
'qoaMJxN`
cbeybcl(1,1:je)=0.0;
)SaMfP1=v
for i=2:iebc
[ mo9?
x1=(iebc-i+1.5)*dx;
=>e> r~cW
x2=(iebc-i+0.5)*dx;
ddlF4L_
sigmax=bcfactor*(x1^(orderbc+1)-x2^(orderbc+1));
Rz<'&Z>;
ca1=exp(-sigmax*dt/(epsz*eps(1)));
Ibv`/8xh
cb1=(1-ca1)/(sigmax*dx);
m-9ChF:U
caeybcl(i,1:je)=ca1;
\5#eBJ
cbeybcl(i,1:je)=cb1;
Vzh\1cF
caeybcf(i,1:jebc)=ca1;
k7nke^,|
cbeybcf(i,1:jebc)=cb1;
|-]'~@~
caeybcb(i,1:jebc)=ca1;
o#-^Lg&
cbeybcb(i,1:jebc)=cb1;
DH])Q5
end
LO,:k+&A+
sigmax=bcfactor*(0.5*dx)^(orderbc+1);
>4?735f=x
ca1=exp(-sigmax*dt/(epsz*eps(1)));
dp }zG+
cb1=(1-ca1)/(sigmax*dx);
^aqBL
caey(1,1:je)=ca1;
;(Z9.
cbey(1,1:je)=cb1;
/9ZU_y4&3f
caeybcf(iebc+1,1:jebc)=ca1;
T9YrB
cbeybcf(iebc+1,1:jebc)=cb1;
Vo(bro4ZQi
caeybcb(iebc+1,1:jebc)=ca1;
DLoH.Fd
cbeybcb(iebc+1,1:jebc)=cb1;
*n9=Q9
for i=1:iebc
`Js"*[z
x1=(iebc-i+1)*dx;
i@ehD@.dH
x2=(iebc-i)*dx;
v|rBOv
sigmax=bcfactor*(x1^(orderbc+1)-x2^(orderbc+1));
LKM;T-
sigmaxs=sigmax*(muz/(epsz*eps(1)));
Y";KWA}b
cp1=exp(-sigmaxs*dt/muz);
fHgvh&FU
cq1=(1-da1)/(sigmaxs*dx);
CeUC[cUQU
cphzxbcl(i,1:je)=cp1;
> q8)~
cqhzxbcl(i,1:je)=cq1;
N1JM[<PP
cphzxbcf(i,1:jebc)=cp1;
>%c>R'~h
cqhzxbcf(i,1:jebc)=cq1;
wd2z=^S~
cphzxbcb(i,1:jebc)=cp1;
vSo,,~F
cqhzxbcb(i,1:jebc)=cq1;
3oPyh $*
caexbcl(i,2:je)=ca(1);
1(WBvAPS
cbexbcl(i,2:je)=cb(1);
]&"01M~+K
cphzybcl(i,1:je)=cp(1);
'On%p|s)H
cqhzybcl(i,1:je)=cq(1);
nCLEAe$W\=
end
N}'2GBqfU4
Aot9^@4])
m :2A[H+
%***********************************************************************
p|w0 i[hc
% Movie initialization
tf>"fU\P
%***********************************************************************
0>ce~KU
subplot(2,1,2),pcolor(ez);
B#o6UO\
shading flat;
N@I=X-7nh|
caxis([-1000000000 1000000000]);
z7HM/<WY
axis([1 ib 1 jb]);
[$`%ve
%axis([1 jb 1 ib]);
8)YDUE%VH
colorbar;
4mm>6w8NT
axis image;
$OaxetPH
axis off;
a6 "-,Kg
title(('ez at time step = 0'));
eI/5foA
|u#7@&N1
%***********************************************************************
E_#?;l>
% BEGIN TIME-STEPPING LOOP
j;EH[3
%***********************************************************************
.i3_D??
ezbcl(1:iebc,1:jb)=ezxbcl(1:iebc,1:jb)+ezybcl(1:iebc,1:jb);
n"Wlfd0
ezbcr(1:iebc,1:jb)=ezxbcr(1:iebc,1:jb)+ezybcr(1:iebc,1:jb);
HDj260a
ezbcf(1:ibfbc,1:jebc)=ezxbcf(1:ibfbc,1:jebc)+ezybcf(1:ibfbc,1:jebc);
|+Tq[5&R
ezbcb(1:ibfbc,1:jebc)=ezxbcb(1:ibfbc,1:jebc)+ezybcb(1:ibfbc,1:jebc);
Pk`3sfz
Am"&ApK
for n=1:nmax
UYhxgPGsj
%***********************************************************************
PeJIa %iE
% Update electric fields (ez,hx,hy) in main grid
=tc!"{
%***********************************************************************
WIw*//nw
2CV? cm
x=source(n).*10e20;
q!YAA\'31
2k^'}7G%
ez(is,js)=ez(is,js)+x;%
5 i=C?W`'
ez(2:ie,2:je)=caez(2:ie,2:je).*ez(2:ie,2:je)+...
D/Py?<n-B
cbez(2:ie,2:je).*((hy(2:ie,2:je)-hy(1:ie-1,2:je))-...
#l!nBY ~
(hx(2:ie,2:je)-hx(2:ie,1:je-1)))
`ix&j8E22w
kTm}VTr 1
hx(1:ie,1:je)=cphx(1:ie,1:je).*hx(1:ie,1:je)+...
/1b7f'
cqhx(1:ie,1:je).*(ez(1:ie,2:jb)-ez(1:ie,1:je));
e. R9:
hy(1:ie,1:jb)=cphy(1:ie,1:jb).*hy(1:ie,1:jb)+...
sY&Z/Y
cqhy(1:ie,1:jb).*(ez(2:ib,1:jb)-ez(1:ie,1:jb));
1H8/b D
[=^Wj`;
ezxbcfn(1:ibfbc,1:jebc)=ezxbcf(1:ibfbc,1:jebc);
pL2{zW`FDh
ezybcfn(1:ibfbc,1:jebc)=ezybcf(1:ibfbc,1:jebc);
)h0b}HMW)
%ezybcf(2:iefbc,2)=ezybcf(2:iefbc,2); %fields in front region
&W*^&0AV
ezbcfn(1:ibfbc,1:jebc)=ezbcf(1:ibfbc,1:jebc);
eaDG7+iS
M[QQi2:&
ezxbcbn(1:ibfbc,1:jebc)=ezxbcb(1:ibfbc,1:jebc);
NJg )S2]7
ezybcbn(1:ibfbc,1:jebc)=ezybcb(1:ibfbc,1:jebc);
c-ql
%ezybcbn(2:iefbc,jebc-1)=ezybcb(2:iefbc,jebc-1); %fields in back region
YVPLHwh/5
ezbcbn(1:ibfbc,1:jebc)=ezbcb(1:ibfbc,1:jebc);
8;x0U`}Ez(
%ezbcln(iebc-1,1)=ezbcl(iebc-1,1);
k\-h-0[|
%ezbcln(2,jb)=ezbcln(2,jb);
A5Lzd
%ezbcf(ibbc,1)=ezbcbn(ibbc-1,2)
A}(o1wuw
ezxbcln(1:iebc,1:jb)=ezxbcl(1:iebc,1:jb);
Dv~jVI Xu
ezybcln(1:iebc,1:jb)=ezybcl(1:iebc,1:jb); %fields in left region
H'&[kgnQ@
ezbcln(1:iebc,1:jb)=ezbcl(1:iebc,1:jb);
XmN8S_M>v
%ezbcf(1,1)=ezbcfn(2,2)
rbrh;\<jM
ezxbcrn(1:iebc,1:jb)=ezxbcr(1:iebc,1:jb);
?$VkMu$2k
ezybcrn(1:iebc,1:jb)=ezybcr(1:iebc,1:jb); %fields in right region
wJh/tb=$o
ezbcrn(1:iebc,1:jb)=ezbcr(1:iebc,1:jb);
:a9
_7'5I A
% left
P7$/yBI U
hxbcl(1:iebc,1:je)=cphxbcl(1:iebc,1:je).*hxbcl(1:iebc,1:je)+...
sEi9<$~R@0
cqhxbcl(1:iebc,1:je).*(ezbcl(1:iebc,1:je)-ezbcl(1:iebc,2:jb));
^95njE`>t`
hybcl(1:iebc-1,1:jb)=cphybcl(1:iebc-1,1:jb).*hybcl(1:iebc-1,1:jb)+...
H^M>(kT#&
cqhybcl(1:iebc-1,1:jb).*(ezbcl(2:iebc,1:jb)-ezbcl(1:iebc-1,1:jb));
W"&,=wvg2
ezxbcl(2:iebc,1:jb)=caezxbcl(2:iebc,1:jb).*ezxbcl(2:iebc,1:jb)+...
P+DIo7VTX
cbezxbcl(2:iebc,1:jb).*(hybcl(2:iebc,1:jb)-hybcl(1:iebc-1,1:jb));
1o?uf,H7O
ezybcl(1:iebc,2:je)=caezybcl(1:iebc,2:je).*ezybcl(1:iebc,2:je)+...
bbT$$b-
cbezybcl(1:iebc,2:je).*(hxbcl(1:iebc,2:je)-hxbcl(1:iebc,1:je-1));
(QQkXlJ
% right
I8uFMP
hxbcr(1:iebc,1:je)=cphxbcr(1:iebc,1:je).*hxbcr(1:iebc,1:je)+...
/|isRh|
cqhxbcr(1:iebc,1:je).*(ezbcr(1:iebc,1:je)-ezbcr(1:iebc,2:jb));
e/}4Pt
hybcr(2:iebc,1:jb)=cphybcr(2:iebc,1:jb).*hybcr(2:iebc,1:jb)+...
R$;TX^r'o&
cqhybcr(2:iebc,1:jb).*(ezbcr(2:iebc,1:jb)-ezbcr(1:iebc-1,1:jb));
$CZ'[`+
ezxbcr(1:iebc-1,1:jb)=caezxbcr(1:iebc-1,1:jb).*ezxbcr(1:iebc-1,1:jb)+...
|mcc?*%t8
cbezxbcl(1:iebc-1,1:jb).*(hybcr(2:iebc,1:jb)-hybcr(1:iebc-1,1:jb));
#@F.wV0
ezybcr(1:iebc,2:je)=caezybcr(1:iebc,2:je).*ezybcr(1:iebc,2:je)+...
h=B= J
cbezybcl(1:iebc,2:je).*(hxbcr(1:iebc,2:je)-hxbcr(1:iebc,1:je-1));
PJ^qE|X
% down
w^NQLV S
hxbcf(1:ibfbc,1:jebc-1)=cphxbcf(1:ibfbc,1:jebc-1).*hxbcf(1:ibfbc,1:jebc-1)+...
~EU\\;1Rmq
cqhxbcf(1:ibfbc,1:jebc-1).*(ezbcf(1:ibfbc,2:jebc)-ezbcf(1:ibfbc,1:jebc-1));
Z}.ZTEB
hybcf(1:iefbc,1:jebc)=cphybcf(1:iefbc,1:jebc).*hybcf(1:iefbc,1:jebc)+...
Q"H/RMo-
cqhybcf(1:iefbc,1:jebc).*(ezbcf(2:ibfbc,1:jebc)-ezbcf(1:iefbc,1:jebc));
;RYIc0%
ezxbcf(2:iefbc,1:jebc)=caezxbcf(2:iefbc,1:jebc).*ezxbcf(2:iefbc,1:jebc)+...
-_XTy!I
cbezxbcf(2:iefbc,1:jebc).*(hybcf(2:iefbc,1:jebc)-hybcf(1:iefbc-1,1:jebc));
e0hY
ezybcf(1:ibbc,2:jebc)=caezybcf(1:ibbc,2:jebc).*ezybcf(1:ibbc,2:jebc)+...
%^[D+1ULb
cbezybcf(1:ibbc,2:jebc).*(hxbcf(1:ibbc,2:jebc)-hxbcf(1:ibbc,1:jebc-1));
&d\ y:7
% up
;*0?C'h=
hxbcb(1:ibfbc,2:jebc)=cphxbcb(1:ibfbc,2:jebc).*hxbcb(1:ibfbc,2:jebc)+...
~ 7<M6F
cqhxbcb(1:ibfbc,2:jebc).*(ezbcb(1:ibfbc,2:jebc)-ezbcb(1:ibfbc,1:jebc-1));
me-uPm
hybcb(1:iefbc,1:jebc)=cphxbcb(1:iefbc,1:jebc).*hxbcb(1:iefbc,1:jebc)+...
X!m lC51
cqhybcb(1:iefbc,1:jebc).*(ezbcb(2:ibfbc,1:jebc)-ezbcb(1:iefbc,1:jebc));
OsKtxtLO
ezxbcb(2:iefbc,1:jebc)=caezxbcb(2:iefbc,1:jebc).*ezxbcb(2:iefbc,1:jebc)+...
K|I<kA~!H
cbezxbcb(2:iefbc,1:jebc).*(hybcb(2:iefbc,1:jebc)-hybcb(1:iefbc-1,1:jebc));
LL==2KNUo
ezybcb(1:ibbc,1:jebc-1)=caezybcb(1:ibbc,1:jebc-1).*ezybcb(1:ibbc,1:jebc-1)+...
P~%+KxwZQ
cbezybcb(1:ibbc,1:jebc-1).*(hxbcb(1:ibbc,2:jebc)-hxbcb(1:ibbc,1:jebc-1));
%< `D'V@
b7B|$T,
M~~)tJYsu
% ezx
7mE9Zo1
% left line
5]n\E?V'L
ezbcl(1,2:je)=ezbcln(2,2:je)+(cc*dt-dx)/(cc*dt+dx)*(ezbcl(2,2:je)-...
gU1Pb]]
ezbcl(1,2:je))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcl(1,2:je)-...
W6B"QbHYz
hxbcl(1,1:je-1)+hxbcl(2,2:je)-hxbcl(2,1:je-1));
KtGbpcS$f
ezbcf(1,2:jebc)=ezbcfn(2,2:jebc)+(cc*dt-dx)/(cc*dt+dx)*(ezbcf(2,2:jebc)-...
zE~Xxp
ezbcf(1,2:jebc))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcf(1,2:jebc)-...
o=Y'ns^a(
hxbcf(1,1:jebc-1)+hxbcf(2,2:jebc)-hxbcf(2,1:jebc-1));
x_r*<?OZ
ezbcb(1,1:jebc-1)=ezbcbn(2,1:jebc-1)+(cc*dt-dx)/(cc*dt+dx)*(ezbcb(2,1:jebc-1)-...
bP> Kx-%q
ezbcb(1,1:jebc-1))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcb(1,2:jebc)-...
#/{3qPN?@
hxbcb(1,1:jebc-1)+hxbcb(2,2:jebc)-hxbcb(2,1:jebc-1));
mi[8O$^iJ
ezbcl(1,1)=ezbcln(2,1)+(cc*dt-dx)/(cc*dt+dx)*(ezbcl(2,1)-...
w^U{e xo
ezbcl(1,1))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcl(1,1)-...
IhOAMH1
hxbcf(1,jebc)+hxbcl(2,1)-hxbcf(2,jebc));
Xt +9z
ezbcl(1,jb)=ezbcln(2,jb)+(cc*dt-dx)/(cc*dt+dx)*(ezbcl(2,jb)-...
$lq.*UQ;0
ezbcl(1,jb))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcb(1,1)-...
M=3gV?N
hxbcl(1,je)+hxbcb(2,1)-hxbcl(2,je));
KC)}Mzt6_
% right line
AREjS$
ezbcr(iebc,2:je)=ezbcrn(iebc-1,2:je)+(cc*dt-dx)/(cc*dt+dx)*(ezbcr(iebc-1,2:je)-...
opMnLor
ezbcr(iebc,2:je))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcr(iebc,2:je)-...
7VL|\^Y `q
hxbcr(iebc,1:je-1)+hxbcr(iebc-1,2:je)-hxbcr(iebc-1,1:je-1));
`evF?t11X
ezbcf(ibfbc,2:jebc)=ezbcfn(ibfbc-1,2:jebc)+...
{8h[Bd
(cc*dt-dx)/(cc*dt+dx)*(ezbcf(ibfbc-1,2:jebc)-...
'gHg&E9E&
ezbcf(ibfbc,2:jebc))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcf(ibfbc,2:jebc)-...
Qxk & J
hxbcf(ibfbc,1:jebc-1)+hxbcf(ibfbc-1,2:jebc)-hxbcf(ibfbc-1,1:jebc-1));
Kxg@( Q
ezbcb(ibfbc,1:jebc-1)=ezbcbn(ibfbc-1,1:jebc-1)+...
A0:rn\$l3
(cc*dt-dx)/(cc*dt+dx)*(ezbcb(ibfbc-1,1:jebc-1)-...
AQmHa2P
ezbcb(ibfbc,1:jebc-1))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcb(ibfbc,2:jebc)-...
B9Hib1<8
hxbcb(ibfbc,1:jebc-1)+hxbcb(ibfbc-1,2:jebc)-hxbcb(ibfbc-1,1:jebc-1));
5{bc&?"
ezbcr(iebc,1)=ezbcln(iebc-1,1)+(cc*dt-dx)/(cc*dt+dx)*(ezbcl(iebc-1,1)-...
[2h.5.af
ezbcl(iebc,1))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcr(iebc,1)-...
XK})?LTD
hxbcf(ibbc,jebc)+hxbcr(2,1)-hxbcf(ibbc-1,jebc));
{`,)<R>}
ezbcr(iebc,jb)=ezbcln(iebc,jb)+(cc*dt-dx)/(cc*dt+dx)*(ezbcl(iebc-1,jb)-...
vrcIwCa
ezbcl(iebc,jb))+cc^2*muz*dt/(2*(cc*dt+dx))*(hxbcb(iebc,1)-...
Gr#3GvL
hxbcl(iebc,je)+hxbcb(iebc-1,1)-hxbcl(iebc-1,je));
V1~@
% left down corner
!F.h+&^D;
ezbcf(1,1)=ezbcfn(2,2)+...
>F s/Wet
(cc*dt-2^(1/2)*dx)/(cc*dt+2^(1/2)*dx)*(ezbcf(2,2)-...
{Wu[e,p
ezbcf(1,1));
" m13HS
% right down corner
*QV"o{V
ezbcf(ibbc,1)=ezbcbn(ibbc-1,2)+...
jFUpf.v2
(cc*dt-2^(1/2)*dx)/(cc*dt+2^(1/2)*dx)*(ezbcb(ibbc-1,2)-...
5~j#Z (}u
ezbcf(ibbc,1));
)]s<Czm%
% left up corner
"%p7ft
ezbcb(1,jebc)=ezbcbn(2,jebc-1)+...
,~DV0#"
(cc*dt-2^(1/2)*dx)/(cc*dt+2^(1/2)*dx)*(ezbcb(2,jebc-1)-...
"%\hDL;
ezbcb(1,jebc));
2;0eW&e
% right up corner
=E<H_cUS
ezbcb(ibbc,jebc)=ezbcbn(ibbc-1,jebc-1)+...
=1@LMIi5x
(cc*dt-2^(1/2)*dx)/(cc*dt+2^(1/2)*dx)*(ezbcb(ibbc-1,jebc-1)-...
|Wjpnz
ezbcb(ibbc,jebc));
9g>)7Ne
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
tym:C7v%~
% ezy
_^NyLI%
% bcl:up down
lRb>W31"
ezybcl(1:iebc,1)=caezybcl(1:iebc,1).*ezybcl(1:iebc,1)+...
T6QRr}8`/J
cbezybcl(1:iebc,1).*(hxbcl(1:iebc,1)-hxbcf(1:iebc,jebc));
6)7cw8^
ezybcl(1:iebc,jb)=caezybcl(1:iebc,jb).*ezybcl(1:iebc,jb)+...
=4l @A>
cbezybcl(1:iebc,jb).*(hxbcb(1:iebc,1)-hxbcl(1:iebc,je));
Fk^N7EJ:$
%bcr: up down
j[.nk
ezybcr(1:iebc,1)=caezybcr(1:iebc,1).*ezybcr(1:iebc,1)+...
g5lb3`a3
cbezybcl(1:iebc,1).*(hxbcr(1:iebc,1)-hxbcf(1:iebc,jebc));
0^sY>N"
ezybcr(1:iebc,jb)=caezybcr(1:iebc,jb).*ezybcr(1:iebc,jb)+...
]!&$&t8.
cbezybcl(1:iebc,jb).*(hxbcb(1:iebc,1)-hxbcr(1:iebc,je));
{M5t)-
% bcf: down
eLnS1w2
ezybcf(2:iefbc,1)=ezybcfn(2:iefbc,2)+...
Q$v00z]f*
(cc*dt-dx)/(cc*dt+dx)*(ezybcf(2:iefbc,2)-ezybcf(2:iefbc,1))-... %注意公式中正负
U7?v4O]D[
cc*cc*muz*dt/2*(cc*dt+dx)*(hybcf(1:iefbc-1,1)-...
ixSr*+
hybcf(2:iefbc,1)+hybcf(1:iefbc-1,2)-hybcf(2:iefbc,2));
CS~_>bn
% bcb: up
}YVF fi~
ezybcb(2:iefbc,jebc)=ezybcbn(2:iefbc,jebc-1)+...
zRou~Kxi
(cc*dt-dx)/(cc*dt+dx)*(ezbcb(2:iefbc,jebc-1)-ezbcb(2:iefbc,jebc))-...
5doi4b>]!
cc*cc*muz*dt/2*(cc*dt+dx)*(hybcb(1:iefbc-1,jebc)-...
*tgu@9b
&n ..
^ nI2<P
G!;PV^6x
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