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时域有限差分法 FDTD
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帮忙看看我的编程思路有没有问题(附程序)
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帮忙看看我的编程思路有没有问题(附程序)
离线
yuyeliuxu
UID :21110
注册:
2008-11-10
登录:
2009-10-09
发帖:
31
等级:
仿真一级
0楼
发表于: 2009-07-10 10:02:08
得到的结果pml不吸收
\(cu<{=rU
tic;
|FS79Bv
clear; clc;
w5bD
N_iteration=1;
V/.Y]dN5
%***********************************************************************
fM]zD/ g
% Fundamental constants
erdWGUfQOe
%***********************************************************************
HfFP4#C,
Gm}ecW
cc=2.99792458e8; %speed of light in free space
smoz5~
muz=4.0*pi*1.0e-7; %permeability of free space
6w0/;8(_m
epsz=1.0/(cc*cc*muz); %permittivity of free space
|p4F^!9
((SN We
freq=5e+9; %frequency of source excitation
+w?RW^:Q=
Tc=0.2e-9 %Time shift, i.e. time for the center position of the pulse
1,p7Sl^h
Tau=1/freq; %impulse width parameter, e.g.: 0.2ns pulse width here
'&I.w p`^
% corresponds frequency of 1/Tau Hz, i.e.
OHdCt
% 0.2ns---5GHz, 0.5ns---2GHz
Q$iYhR
lambda=cc/freq; %center wavelength of source excitation
[;7&E{,C
omega=2.0*pi*freq;
?i>.<IPOq
l`:M/z6"
M_factor=1;%1 % refine the mesh to get higher quality M_factor times meshed on 1e-3
&y[Od{=
u%Bk"noCa
^cz#PNB
)V*Z|,#no
nmax=500*M_factor; %total number of calculating time steps nmax=2200*M_factor;
s_N?Y)lS+(
nstep=10; % =250 every nstep give a display
P5yS`v$@
7{ (t_N>
)(oRJu)y
|bk.gh
8`EzvEm
%***********************************************************************
ex @e-<
% Grid parameters
C_rlbl;T
%***********************************************************************
|2,u!{
ie=100*M_factor; %100 %number of grid cells in x-direction
:EJ+#
je=100*M_factor; %100 %number of grid cells in y-direction
L~%@pf>
%G1kkcdH<
ib=ie+1;
6D_3Hwrs
jb=je+1;
3WZ]9v{k
imp_x=50*M_factor; %imp_x=5*M_factor; %imp_x=10*M_factor;
t4R=$ km
imp_y=50*M_factor; %(imp_x ,imp_y) is the location of the point source impulse
y m<3
]x8^s
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
8_US.52V
_Qs=v0B//
%%%%% fine meshed %%%%
IGeXj%e
dx=1e-3/M_factor ;% dx=0.25e-3; %dx=1e-3 %dx=0.25e-3; %dx=1e-3/M_factor; %space increment of square lattice
ijOUv 6=-
dt=dx/(2.0*cc); %time step dt=dx/(2.0*cc);
+@ga
Zg"g/I.+d
iebc=8*M_factor; %thickness of left and right PML region
Sc_#BD.
jebc=8*M_factor; %thickness of front and back PML region
<t>"b|fW
rmax=0.000001; %reflection factor ?x?? concerning PML issue
hg_@Ui@[z
orderbc=2;
M<hX!B
ibbc=iebc+1;
8<#X]I_eP+
jbbc=jebc+1;
~Wp>tnl
iefbc=ie+2*iebc;
Lt$LXE
jefbc=je+2*jebc;
'!>LF1W=
ibfbc=iefbc+1;
*~~ >?
jbfbc=jefbc+1;
I?}YS-2
4loG$l+a1
%***********************************************************************
H(GWC[tv
% Material parameters
4,"%
%***********************************************************************
Lgw!S~0
epss=10;
RoCX*3 d
eps=7;
G[z!;Zuf
tau0=7e-12;
owHhlS{
sigdisp=(epss-eps)*epsz/tau0;
9(g?{ 6v|
sig=0.15+sigdisp;
I]t ",s/j
mur=1.0;
dr#g[}l'H
sim=0;
o,dO.isgh>
%***********************************************************************
%;$zR}
% Wave excitation
}wJ-*By{+
%***********************************************************************
't'~p#$,F
source=zeros(1,nmax);
BO)K=gl;8
% for n=1:nmax
`./$hh
% t(n)=dt*n;
f-6-!
% source(n)=-sqrt(exp(1))*(2*pi/Tau)*(t(n)-Tc)*exp(-(1/2)*(2*pi*(t(n)-Tc)/Tau)^2); % normalized
=oz$uD}?
% end
f mu `o-
for n=1:nmax % n=n1:n2
W'WZ@!!
t(n)=dt*n;
w7aC=B/{?i
source(n)=-sin(omega*(t(n)-Tc)); % %Eq.(6) of Monocycle shapes paper
?.Z4GWyXa
end
e=S51q_0
%***********************************************************************
fgcI55&jV{
% Field arrays
J%]</J
%***********************************************************************
&qKJN#NM@
]w ^9qS
ex=zeros(ie,jb); %fields in main grid
F)rU*i7
px=zeros(ie,jb);
xV@/z5Tq
ey=zeros(ib,je);
Sxo9y0K8-
py=zeros(ib,je);
>S/m(98
hz=zeros(ie,je);
J;"66ue(d
!@j5 yYf
exbcf=zeros(iefbc,jebc); %fields in front PML region
JtA tG%
pxbcf=zeros(iefbc,jebc);
P?D;BAP2
eybcf=zeros(ibfbc,jebc);
+ q@kRQY;n
pybcf=zeros(ibfbc,jebc);
%6c[\ubr
hzxbcf=zeros(iefbc,jebc);
9,8}4Y=GVI
hzybcf=zeros(iefbc,jebc);
92zo+bc
7L68voC@U
exbcb=zeros(iefbc,jbbc); %fields in back PML region
GddP)l{uCF
pxbcb=zeros(iefbc,jbbc);
*Xm$w
eybcb=zeros(ibfbc,jebc);
lQ/u#c$n
pybcb=zeros(ibfbc,jebc);
x`:zC#
hzxbcb=zeros(iefbc,jebc);
+*/XfPlr|
hzybcb=zeros(iefbc,jebc);
5y3V duE
Y v22,|:
exbcl=zeros(iebc,jb); %fields in left PML region
o9&&u1`M/
pxbcl=zeros(iebc,jb);
rZ}y'A
eybcl=zeros(iebc,je);
M;s r1C
pybcl=zeros(iebc,je);
P,1[NW
hzxbcl=zeros(iebc,je);
3!]S8Y*LQP
hzybcl=zeros(iebc,je);
24;F~y8H
<i}lP/U
exbcr=zeros(iebc,jb); %fields in right PML region
;.Dm?J0
pxbcr=zeros(iebc,jb);
kC~\D?8E=
eybcr=zeros(ibbc,je);
p) #7K
pybcr=zeros(ibbc,je);
(vL-Z[M!
hzxbcr=zeros(iebc,je);
iBlZw%zKP
hzybcr=zeros(iebc,je);
a W1y0
zW[fHa$m
%***********************************************************************
ca~nfo
% Updating coefficients
doeYc
%***********************************************************************
jpg$5jZ
yffg_^fR
!8'mIXZ$
g~,"C8-H
haf=dt*sim/(2.0*muz*mur);
xz9xt
da=(1.0-haf)/(1.0+haf);
%=C49(/K_
db=dt/muz/mur/dx/(1.0+haf);
0A$x'pU)
dapm=(2*tau0-dt)/(2*tau0+dt);
e}V3dC^pU
dbpm=2*tau0*dt/(2*tau0+dt)*sigdisp;
9WE_9$<V
Hrz#S o\#
ZcT%H*Ib]9
%***********************************************************************
!{hC99q6
% Geometry specification (main grid)
+ Xc s<+b
%***********************************************************************
kY e3A&J
haf=dt*sim/(2.0*muz*mur);
7;]n+QRfm
dahz(1:ie,1:je)=(1.0-haf)/(1.0+haf);
c& &^Do
dbhz(1:ie,1:je)=dt/muz/mur/dx/(1.0+haf);
frsqnvm;+
for i=1:ie
QPL6cU$&R
for j=1:jb
$_bhZnYp7
@D:$~4ks
eaf=dt*sig/(2.0*epsz*eps);
_T[7N|'O
caex(i,j)=(1.0-eaf)/(1.0+eaf); % parameters refer to page 6 from
{[Bo"a>%
cpex(i,j)=dt/epsz/eps/tau0/(1.0+eaf);
^o;f~6#17
cbex(i,j)=dt/epsz/eps/dx/(1.0+eaf); % p.6 from the book of Yun Wenhua
{& Pk$Q!
dapx(i,j)=(2*tau0-dt)/(2*tau0+dt);
f9R~RRz
dbpx(i,j)=2*tau0*dt/(2*tau0+dt)*sigdisp;
x}acxu 2H7
AHg:`Wjv-
end
I.V?O}
end
@(k}q3b<
R<"fcsU
for i=1: ib
)83UF r4kP
for j=1: je
J`uO~W"
eaf=dt*sig/(2.0*epsz*eps);
eN]AJ%Ig
caey(i,j)=(1.0-eaf)/(1.0+eaf); % parameters refer to page 6 from
p_ H;|m9
cpey(i,j)=dt/epsz/eps/tau0/(1.0+eaf);
):LgZ4h
cbey(i,j)=dt/epsz/eps/dx/(1.0+eaf); % p.6 from the book of Yun Wenhua
v$H=~m
dapy(i,j)=(2*tau0-dt)/(2*tau0+dt);
2.xA' \M
dbpy(i,j)=2*tau0*dt/(2*tau0+dt)*sigdisp;
960[.99
xbZx&`(
end
M|HW$8V3_2
end
&Nzq/~uqP
%***********************************************************************
O7]p `Xi8
% Fill the PML regions
j=&]=0F
%***********************************************************************
]VuB2L[D
delbc=iebc*dx;
4F WL\;6
sigmam=-log(rmax/100.0)*epsz*cc*(orderbc+1)/(2*delbc);
k/U1 : 9
y;'yob
eaf=dt*sig/(epsz*eps);
UG@9X/l}
capml=exp(-eaf);
@/(\YzQvp]
cbpml=(1.0-capml)*dt/(eaf*epsz*eps*dx);
MM+x}g.?
cppml=(1.0-capml)*dt/(eaf*epsz*eps*tau0); % p.6 from the book of Yun Wenhua
U-b(
dap=exp(-dt/tau0);
+JDQ`Qk
dbp=(1-dap)*sigdisp*tau0;
mgODJ
J(0E'o{ug
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
o8PK,!Pl
% FRONT region
^(w%m#
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
eootHK
O~wZU Zf
caexbcf(1:iefbc,1)=1.0; %0.0 %1.0;
Z$a5vu*pg
cbexbcf(1:iefbc,1)=0.0;
NU]+ {7
cpexbcf(1:iefbc,1)=0.0;
!+<OED=qe
dapxbcf(1:iefbc,1)=1.0;
[9hslk
dbpxbcf(1:iefbc,1)=0.0;
{ :^;byd
bcfactor=eps*sigmam/(dx*(delbc^orderbc)*(orderbc+1));
0@O:C::
for j=2:jebc
O)2==_f\
y1=(jebc-j+1.5)*dx;
v--Qbu
y2=(jebc-j+0.5)*dx;
,sa%u Fm
sigmay=bcfactor*(y1^(orderbc+1)-y2^(orderbc+1));
Wqy\yS [
eaf1=dt*(sigmay+sigdisp)/(epsz*eps);
nBN+.RB:(
ca1=exp(-eaf1);
Lo<-;;vQ
cb1=(1.0-ca1)/((sigmay+sigdisp)*dx);
`f|Gw5R
cp1=(1.0-ca1)/((sigmay+sigdisp)*tau0);
e1Ne{zg~
caexbcf(1:iefbc,j)=ca1;
E~4d6~s
cbexbcf(1:iefbc,j)=cb1;
j3W)
cpexbcf(1:iefbc,j)=cp1;
\sSt _|+
dapxbcf(1:iefbc,j)=dap;
%oee x1`=
dbpxbcf(1:iefbc,j)=dbp;
%>)HAx `
end
z(o zMH
sigmay = bcfactor*(0.5*dx)^(orderbc+1);
Rhfx
eaf1=dt*(sigmay+sigdisp)/(epsz*eps);
z_;:6*l=:
ca1=exp(-eaf1);
B IW?/^
cb1=(1.0-ca1)/((sigmay+sigdisp)*dx);
88]4GVi
cp1=(1.0-ca1)/((sigmay+sigdisp)*tau0);
tz6N,4J?
\H^A@f
caex(1:ie,1)=ca1;
6I<^wS9j_
cbex(1:ie,1)=cb1;
qcmf*Yl:v
cpex(1:ie,1)=cp1;
SV?^i `
dapx(1:ie,1)=dap;
0=:]tSD\F
dbpx(1:ie,1)=dbp;
\me'B {aa
caexbcl(1:iebc,1)=ca1;
EC:u;2f!
cbexbcl(1:iebc,1)=cb1;
*wfb~&:}
cpexbcl(1:iebc,1)=cp1;
/QgU!:e
dapxbcl(1:iebc,1)=dap;
7o99@K,
dbpxbcl(1:iebc,1)=dbp;
pHftz-RS!
caexbcr(1:iebc,1)=ca1;
6T`F'Fk[
cbexbcr(1:iebc,1)=cb1;
?q*,,+'0
cpexbcr(1:iebc,1)=cp1;
><HHO (74X
dapxbcr(1:iebc,1)=dap;
WDF;`o*3
dbpxbcr(1:iebc,1)=dbp;
?D\6@G:,#@
for j=1:jebc
\>G :mMk/
y1=(jebc-j+1)*dx;
j%q,]HCANh
y2=(jebc-j)*dx;
E! s?amM4
sigmay=bcfactor*(y1^(orderbc+1)-y2^(orderbc+1));
?=FRnpU?
sigmays=sigmay*(muz/(epsz*eps));
;^"#3_7T]
da1=exp(-sigmays*dt/muz);
`[(.Q
db1=(1-da1)/(sigmays*dx);
3}F{a8iIm
dahzybcf(1:iefbc,j)=da1;
5McOSy
dbhzybcf(1:iefbc,j)=db1;
;_nV*G.y#^
caeybcf(1:ibfbc,j)=capml;
n N_Ylw
cbeybcf(1:ibfbc,j)=cbpml;
N!Q~?/!d
cpeybcf(1:ibfbc,j)=cppml;
4nz$Ja)
Vlf =gP
dahzxbcf(1:iefbc,j)=da;
myvn@OsEw
dbhzxbcf(1:iefbc,j)=db;
~%D=\iE
GV"X) tGo
dapybcf(1:ibfbc,j)=dap;
(Qp53g
dbpybcf(1:ibfbc,j)=dbp;
+lNAog
end
!RPPwvNk4
TIIwq H+h.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
NDo>"in
% BACK region
RAs5<US:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Z37%jdr
caexbcb(1:iefbc,jbbc)=1.0; % 0.0 %1.0;
.S6u{B
cbexbcb(1:iefbc,jbbc)=0.0;
A.|98*U%
cpexbcb(1:iefbc,jbbc)=0.0;
I;5:jT `
dapxbcb(1:iefbc,1)=1.0;
9x]yu6
dbpxbcb(1:iefbc,1)=0.0;
Ij_h #f
bcfactor=eps*sigmam/(dx*(delbc^orderbc)*(orderbc+1));
hLo>jE
for j=2:jebc
*ak"}s
y1=(j-0.5)*dx;
P.>5`^
y2=(j-1.5)*dx;
G,-x+e"
sigmay=bcfactor*(y1^(orderbc+1)-y2^(orderbc+1));
0{k*SCN#
eaf1=dt*(sigmay+sigdisp)/(epsz*eps);
713)D4y}
ca1=exp(-eaf1);
h+ggrwg'
cb1=(1.0-ca1)/((sigmay+sigdisp)*dx);
!C>'a:
cp1=(1.0-ca1)/((sigmay+sigdisp)*tau0);
8j^3_lD
caexbcb(1:iefbc,j)=ca1;
Od?b(bE.]
cbexbcb(1:iefbc,j)=cb1;
Eo@b)h
cpexbcb(1:iefbc,j)=cp1;
0Vwl\,7z9
dapxbcb(1:iefbc,j)=dap;
|WUm;o4E`U
dbpxbcb(1:iefbc,j)=dbp;
k0>]7t$L
end
sI% =G3o=
sigmay = bcfactor*(0.5*dx)^(orderbc+1);
%AV[vr,
&`}8Jz=S
eaf1=dt*(sigmay+sigdisp)/(epsz*eps);
a'prlXr\4
ca1=exp(-eaf1);
rE5q BEh
cb1=(1.0-ca1)/((sigmay+sigdisp)*dx);
Y5XhV;16
cp1=(1.0-ca1)/((sigmay+sigdisp)*tau0);
92pl#Igt
caex(1:ie,jb)=ca1;
=AVr<kP
cbex(1:ie,jb)=cb1;
8EC$p} S
cpex(1:ie,jb)=cp1;
eN Y?
dapx(1:ie,jb)=dap;
7zWr5U.
dbpx(1:ie,jb)=dbp;
Ed ,O>(
caexbcl(1:iebc,jb)=ca1;
bKb}VP
cbexbcl(1:iebc,jb)=cb1;
wx*)7Y*
cpexbcl(1:iebc,jb)=cp1;
dl;
dapxbcl(1:iebc,jb)=dap;
w.9'TR
dbpxbcl(1:iebc,jb)=dbp;
1^R:[L4R`
caexbcr(1:iebc,jb)=ca1;
3w!,@=.q
cbexbcr(1:iebc,jb)=cb1;
]R7zvcu&
cpexbcr(1:iebc,jb)=cp1;
n| [RXpAp3
dapxbcr(1:iebc,jb)=dap;
7w8I6
dbpxbcr(1:iebc,jb)=dbp;
TD"w@jBA
for j=1:jebc
\66j4?H#
y1=j*dx;
nLjc.Z\Bl
y2=(j-1)*dx;
mvV5Xal
sigmay=bcfactor*(y1^(orderbc+1)-y2^(orderbc+1));
bPhb d
sigmays=sigmay*(muz/(epsz*eps));
1XD|H_JG<j
da1=exp(-sigmays*dt/muz);
W%&'EJ)62
db1=(1-da1)/(sigmays*dx);
t^KoqJ
dahzybcb(1:iefbc,j)=da1;
'du{ky
dbhzybcb(1:iefbc,j)=db1;
WY`hNT6M
caeybcb(1:ibfbc,j)=capml;
c_+y~X)i
cbeybcb(1:ibfbc,j)=cbpml;
dxwH C\"5
cpeybcb(1:ibfbc,j)=cppml;
`xm4?6
dahzxbcb(1:iefbc,j)=da;
u''~nSR3&
dbhzxbcb(1:iefbc,j)=db;
N8K @ch3=P
Im0 #_ \
dapybcb(1:ibfbc,j)=dap;
%Tvy|L ,
dbpybcb(1:ibfbc,j)=dbp;
cUPC8k.1
end
<RPy
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
6d%'>^`(o-
% LEFT region
|v?*}6:a
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
"JBTsQDj!
_=d X01
caeybcl(1,1:je)=1.0; %0.0%1.0;
,f2tG+P
cbeybcl(1,1:je)=0.0;
HaiaDY)
cpeybcl(1,1:je)=0.0;
cPL]WI0(
dapybcl(1,1:je)=1.0;
@!MhVNS_<
dbpybcl(1,1:je)=0.0;
VfON{ 1g
bcfactor=eps*sigmam/(dx*(delbc^orderbc)*(orderbc+1));
'V-_3WWxU
for i=2:iebc
v<SCh)[-p
x1=(iebc-i+1.5)*dx;
A=a~ [vre
x2=(iebc-i+0.5)*dx;
V/@?KC0B5
sigmax=bcfactor*(x1^(orderbc+1)-x2^(orderbc+1));
CTOrBl$70
eaf1=dt*(sigmax+sigdisp)/(epsz*eps);
$Afw]F$
ca1=exp(-eaf1);
di,?`
cb1=(1.0-ca1)/((sigmax+sigdisp)*dx);
kV$$GLD\
cp1=(1.0-ca1)/((sigmax+sigdisp)*tau0);
SGUu\yS&s
caeybcl(i,1:je)=ca1;
Gi*GFv%xB
cbeybcl(i,1:je)=cb1;
PRi3=3oF
cpeybcl(i,1:je)=cp1;
(}:n#|,{M
dapybcl(i,1:je)=dap;
`*to( )
dbpybcl(i,1:je)=dbp;
bo%v(
caeybcf(i,1:jebc)=ca1;
( /):
cbeybcf(i,1:jebc)=cb1;
Ag#o&Y
cpeybcf(i,1:jebc)=cp1;
5lp};
dapybcf(i,1:jebc)=dap;
JLZ=$ d
dbpybcf(i,1:jebc)=dbp;
<>9zXbI
caeybcb(i,1:jebc)=ca1;
x-3!sf@
cbeybcb(i,1:jebc)=cb1;
{6uh Ub
cpeybcb(i,1:jebc)=cp1;
O"Ua|8
dapybcb(i,1:jebc)=dap;
:lGH31GG
dbpybcb(i,1:jebc)=dbp;
.gS x`|!
end
gY=Ry=w9
sigmax=bcfactor*(0.5*dx)^(orderbc+1);
Er]lObfQo
eaf1=dt*(sigmax+sigdisp)/(epsz*eps);
MaX:oGF,
ca1=exp(-eaf1);
(K>=!&tlp=
cb1=(1.0-ca1)/((sigmax+sigdisp)*dx);
P O{1u%P
cp1=(1.0-ca1)/((sigmax+sigdisp)*tau0);
u^{6U(%
caey(1,1:je)=ca1;
IC:wof "
cbey(1,1:je)=cb1;
yk<$XNc
cpey(1,1:je)=cp1;
!"e~HZmr
dapy(1,1:je)=dap;
Q#$#VT!F
dbpy(1,1:je)=dbp;
5HAIKc
caeybcf(iebc+1,1:jebc)=ca1;
*w[\(d'T
cbeybcf(iebc+1,1:jebc)=cb1;
eJm7}\/6`
cpeybcf(iebc+1,1:jebc)=cp1;
FYtf<C+
dapybcf(iebc+1,1:jebc)=dap;
_a e&@s1
dbpybcf(iebc+1,1:jebc)=dbp;
5W29oz}-S
caeybcb(iebc+1,1:jebc)=ca1;
aTx*6;-PH
cbeybcb(iebc+1,1:jebc)=cb1;
!Ui"<0[,
cpeybcb(iebc+1,1:jebc)=cp1;
ZO !
dapybcb(iebc+1,1:jebc)=dap;
{g7[3WRy
dbpybcb(iebc+1,1:jebc)=dbp;
|0jmOcZF
for i=1:iebc
w_ sA8B
x1=(iebc-i+1)*dx;
ggR--`D[
x2=(iebc-i)*dx;
^ew<|J2,B
sigmax=bcfactor*(x1^(orderbc+1)-x2^(orderbc+1));
S ;; Z
sigmaxs=sigmax*(muz/(epsz*eps));
;C+g)BW
da1=exp(-sigmaxs*dt/muz);
s?2DLXv}!
db1=(1-da1)/(sigmaxs*dx);
[3#A)#kWm
dahzxbcl(i,1:je)=da1;
+[sZE X
dbhzxbcl(i,1:je)=db1;
Z_F}Y2-w9
J^G#x}y
dahzxbcf(i,1:jebc)=da1;
yQXHEB
dbhzxbcf(i,1:jebc)=db1;
(^ Q:zU
tKik)ei
dahzxbcb(i,1:jebc)=da1;
3w B 03\P
dbhzxbcb(i,1:jebc)=db1;
ca!=D $
vFL\O
caexbcl(i,2:je)=capml;
p`i_s(u
cbexbcl(i,2:je)=cbpml;
Po:)b
cpexbcl(i,2:je)=cppml;
guC7!P^
dapxbcl(i,2:je)=dap;
-a}d @&
dbpxbcl(i,2:je)=dbp;
3N]
dahzybcl(i,1:je)=da;
WLTraB[?
dbhzybcl(i,1:je)=db;
1;4] HNI
u*<G20~A
end
0H6^2T<
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
0K&\5xXM
% RIGHT region
]757oAXl
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
7fOk]Yl[
>+ZD 6l/
caeybcr(ibbc,1:je)=1.0; %0.0%1.0;
( _{\tgSm
cbeybcr(ibbc,1:je)=0.0;
onuhNn_=>
cpeybcr(ibbc,1:je)=0.0;
V0Z\e _I
dapybcr(ibbc,1:je)=1.0;
j3W)5ZX
dbpybcr(ibbc,1:je)=0.0;
&$vW
bcfactor=eps*sigmam/(dx*(delbc^orderbc)*(orderbc+1));
`Xbk2KD p
for i=2:iebc
O-M4NKl]6
x1=(i-0.5)*dx;
B>11
x2=(i-1.5)*dx;
R tR5ij1
sigmax=bcfactor*(x1^(orderbc+1)-x2^(orderbc+1));
c 4<~?L
eaf1=dt*(sigmax+sigdisp)/(epsz*eps);
c==` r C
ca1=exp(-eaf1);
"z^&>#F
cb1=(1.0-ca1)/((sigmax+sigdisp)*dx);
W|PKcZ ]Uc
cp1=(1.0-ca1)/((sigmax+sigdisp)*tau0);
9\|n2$H:
caeybcr(i,1:je)=ca1;
k]n=7vw;
cbeybcr(i,1:je)=cb1;
qGE?[\t[6
cpeybcr(i,1:je)=cp1;
}- Jw"|^W
jZm57{C#*?
dapybcr(i,1:je)=dap;
j]#-DIL
dbpybcr(i,1:je)=dbp;
;plzJ6>
[S}o[v\
caeybcf(i+iebc+ie,1:jebc)=ca1;
?5%|YsJP_
cbeybcf(i+iebc+ie,1:jebc)=cb1;
E! i:h62
cpeybcf(i+iebc+ie,1:jebc)=cp1;
DO!?]"
NC*h7
dapybcf(i+iebc+ie,1:jebc)=dap;
=Of!1TR(
dbpybcf(i+iebc+ie,1:jebc)=dbp;
M.Fu>Xi
0aMw
caeybcb(i+iebc+ie,1:jebc)=ca1;
sW":~=H
cbeybcb(i+iebc+ie,1:jebc)=cb1;
5"IbmD>D
cpeybcb(i+iebc+ie,1:jebc)=cp1;
g2=5IU<
(]|rxmycA
dapybcb(i+iebc+ie,1:jebc)=dap;
p2|BbC\N
dbpybcb(i+iebc+ie,1:jebc)=dbp;
}Om+,!_d
end
X^PR];V:$
sigmax=bcfactor*(0.5*dx)^(orderbc+1);
He4sP`&I
eaf1=dt*(sigmay+sigdisp)/(epsz*eps);
;P-xKRU!Xx
ca1=exp(-eaf1);
D3LW49
cb1=(1.0-ca1)/((sigmax+sigdisp)*dx);
b@OL!?JP
cp1=(1.0-ca1)/((sigmax+sigdisp)*tau0);
qp-/S^%
caey(ib,1:je)=ca1;
c1IK9X*
cbey(ib,1:je)=cb1;
2EubMG
cpey(ib,1:je)=cp1;
4s<*rKm~
dapy(ib,1:je)=dap;
C(:tFuacpw
dbpy(ib,1:je)=dbp;
<}c`jN!z.
oEHUb?(p
caeybcf(iebc+ib,1:jebc)=ca1;
Y 9eGDpW
cbeybcf(iebc+ib,1:jebc)=cb1;
2WjQ-mM#
cpeybcf(iebc+ib,1:jebc)=cp1;
3N?WpA768/
dapybcf(iebc+ib,1:jebc)=dap;
Y&O<A8=8
dbpybcf(iebc+ib,1:jebc)=dbp;
(mvAEN+y
V`KXfY
caeybcb(iebc+ib,1:jebc)=ca1;
@`N)`u85[
cbeybcb(iebc+ib,1:jebc)=cb1;
=kq!e
cpeybcb(iebc+ib,1:jebc)=cp1;
%Dg]n4f
dapybcb(iebc+ib,1:jebc)=dap;
Q"UQv<
dbpybcb(iebc+ib,1:jebc)=dbp;
; 4E0%@R
for i=1:iebc
w0x%7mg@
x1=i*dx;
iPMI$
x2=(i-1)*dx;
N\IdZX%u
sigmax=bcfactor*(x1^(orderbc+1)-x2^(orderbc+1));
taXS>*|B
sigmaxs=sigmax*(muz/(epsz*eps));
6]dK,
da1=exp(-sigmaxs*dt/muz);
9-DDly [)4
db1=(1-da1)/(sigmaxs*dx);
.c'EXuI7),
dahzxbcr(i,1:je) = da1;
<_@ S@t)
dbhzxbcr(i,1:je) = db1;
+_gPZFpbx
f i-E_
dahzxbcf(i+ie+iebc,1:jebc)=da1;
t)74(
dbhzxbcf(i+ie+iebc,1:jebc)=db1;
-Cxk#-sb#
d ,| W
dahzxbcb(i+ie+iebc,1:jebc)=da1;
odPq<'V|AY
dbhzxbcb(i+ie+iebc,1:jebc)=db1;
DfFsCTu
8t!/Op?
dapxbcb(i,2:je)=dap;
?d1H]f<M
dbpxbcb(i,2:je)=dbp;
/JL2dBy#z
caexbcr(i,2:je)=capml;
M3j_sd'N
cbexbcr(i,2:je)=cbpml;
KaC+x-%K
cpexbcr(i,2:je)=cppml;
c+/SvRx^>
(!Q^.C_m
dahzybcr(i,1:je)=da;
![Z'jCpy
dbhzybcr(i,1:je)=db;
i,BE]w
end
6elmLDMni\
NAjK0]SRY
%***********************************************************************
`Td 0R!
% BEGIN TIME-STEPPING LOOP
(eI'%1kS<
%***********************************************************************
|1H"ya
for n=1:nmax
5V\\w~&/
ZYo Wz(
%***********************************************************************
i{w<4E3
% Update electric fields (EX and EY) in main grid
+(VHnxNQs
%***********************************************************************
%ci/(wL
ex(:,2:je)=caex(:,2:je).*ex(:,2:je)+...
*p{wC r
cbex(:,2:je).*(hz(:,2:je)-hz(:,1:je-1))+cpex(:,2:je).*px(:,2:je);
D}l^ow
|s :b9sfA
ey(2:ie,:)=caey(2:ie,:).*ey(2:ie,:)+...
5QU7!jbI
cbey(2:ie,:).*(hz(1:ie-1,:)-hz(2:ie,:))+cpey(2:ie,:).*py(2:ie,:);
hf rF7{yj
[1@-F+
%***********************************************************************
k/W$)b:Of`
% Update EX in PML regions
L2[|g~
%***********************************************************************
&Ib8xwb:
F.mS,W]
% FRONT
eLcP.;Z
RQ#gn
exbcf(:,2:jebc)=caexbcf(:,2:jebc).*exbcf(:,2:jebc)-...
.,[zI@9
cbexbcf(:,2:jebc).*(hzxbcf(:,1:jebc-1)+hzybcf(:,1:jebc-1)-...
Sc;WraEn2
hzxbcf(:,2:jebc)-hzybcf(:,2:jebc))+...
5_b`QO
cpexbcf(:,2:jebc).*pxbcf(:,2:jebc);
8 M3Q8&
ex(1:ie,1)=caex(1:ie,1).*ex(1:ie,1)-...
O:3pp8
cbex(1:ie,1).*(hzxbcf(ibbc:iebc+ie,jebc)+...
q bb:)>
hzybcf(ibbc:iebc+ie,jebc)-hz(1:ie,1))+...
LbDhPG`u
cpex(1:ie,1).*px(1:ie,1);
y\b.0-z
T<06y3sN
% BACK
/w{DyHT
pb_+_(/c
exbcb(:,2:jebc-1)=caexbcb(:,2:jebc-1).*exbcb(:,2:jebc-1)-...
NvWwj%6]
cbexbcb(:,2:jebc-1).*(hzxbcb(:,1:jebc-2)+hzybcb(:,1:jebc-2)-...
gT*0WgB
hzxbcb(:,2:jebc-1)-hzybcb(:,2:jebc-1))+...
=NwmhV
cpexbcb(:,2:jebc-1).*pxbcb(:,2:jebc-1);
j8?z@iG
ex(1:ie,jb)=caex(1:ie,jb).*ex(1:ie,jb)-...
DYJ@>8
cbex(1:ie,jb).*(hz(1:ie,jb-1)-hzxbcb(ibbc:iebc+ie,1)-...
Y[9x\6 _E
hzybcb(ibbc:iebc+ie,1))+...
x]lv:m\)jT
cpex(1:ie,jb).*px(1:ie,jb);
DoAK]zyJA
1SeDrzLA
% LEFT
&yv%"BPV
,/{mRw%
exbcl(:,2:je)=caexbcl(:,2:je).*exbcl(:,2:je)-...
"|V{@)!t
cbexbcl(:,2:je).*(hzxbcl(:,1:je-1)+hzybcl(:,1:je-1)-...
wy"^a45h
hzxbcl(:,2:je)-hzybcl(:,2:je))+...
@*'|8%
cpexbcl(:,2:je).*pxbcl(:,2:je);
*xXa4HB
exbcl(:,1)=caexbcl(:,1).*exbcl(:,1)-...
oqHI`Tu
cbexbcl(:,1).*(hzxbcf(1:iebc,jebc)+hzybcf(1:iebc,jebc)-...
Oz!#);v
hzxbcl(:,1)-hzybcl(:,1))+cpexbcl(:,1).*pxbcl(:,1);
8 ZD1}58U4
exbcl(:,jb)=caexbcl(:,jb).*exbcl(:,jb)-...
(L_txd4
cbexbcl(:,jb).*(hzxbcl(:,je)+hzybcl(:,je)-...
{`BC$V
hzxbcb(1:iebc,1)-hzybcb(1:iebc,1))+...
B\A2Vm`&
cpexbcl(:,jb).*pxbcl(:,je);
!Gsr* F{.
7(lR$,bE;=
% RIGHT
f sAgXv
:Eq=wbAw
exbcr(:,2:je)=caexbcr(:,2:je).*exbcr(:,2:je)-...
Ha9A5Ao}0
cbexbcr(:,2:je).*(hzxbcr(:,1:je-1)+hzybcr(:,1:je-1)-...
pXPwn(
hzxbcr(:,2:je)-hzybcr(:,2:je))+...
Urur/_]-%
cpexbcr(:,2:je).*pxbcr(:,2:je);
bvzeUn
exbcr(:,1)=caexbcr(:,1).*exbcr(:,1)-...
$A,fO~
cbexbcr(:,1).*(hzxbcf(1+iebc+ie:iefbc,jebc)+...
]W3D4Swq
hzybcf(1+iebc+ie:iefbc,jebc)-...
Es6b~#
hzxbcr(:,1)-hzybcr(:,1))+cpexbcr(:,1).*pxbcr(:,1);
\](IBI:
exbcr(:,jb)=caexbcr(:,jb).*exbcr(:,jb)-...
q}*"0r
cbexbcr(:,jb).*(hzxbcr(:,je)+hzybcr(:,je)-...
O79;tA<k
hzxbcb(1+iebc+ie:iefbc,1)-...
6b4Kcl <i
hzybcb(1+iebc+ie:iefbc,1))+cpexbcr(:,jb).*pxbcr(:,jb);
12v5*G[X
fg"@qE-;
%***********************************************************************
ZvEcExA-
% Update EY in PML regions
l j*ELy
%***********************************************************************
c)gG
K-F@OSK'
% FRONT
9B")/Hz_
Ffk$8"
eybcf(2:iefbc,:)=caeybcf(2:iefbc,:).*eybcf(2:iefbc,:)-...
h[72iVn
cbeybcf(2:iefbc,:).*(hzxbcf(2:iefbc,:)+hzybcf(2:iefbc,:)-...
saQA:W;
hzxbcf(1:iefbc-1,:)-hzybcf(1:iefbc-1,:))+...
w~@.&
cpeybcf(2:iefbc,:).*pybcf(2:iefbc,:);
Z{RRhJ
)nU%}Z
% BACK
!/, 6+2Ru
gE%{#&