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时域有限差分法 FDTD
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请高手进来指点一下,小人用matlab编的FDTD的P ..
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请高手进来指点一下,小人用matlab编的FDTD的PML吸收边界总是出问题
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purplefire
UID :16932
注册:
2008-08-19
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2008-08-30
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0楼
发表于: 2008-08-20 10:03:53
那位能人能能帮看下以下程序将不胜感激,只要帮我看看左上角和左边界的PML吸收条件就可以了,谢谢各位大侠了。
1p/_U?H:|
function [Ez,haoshi,Hx,Hy]=PML(xunhuan) %TE model
$*XTX?,'
t0=clock;
^^uY)AL
d=9;
[<^ '}-SJ
N=121+2*d;
1z,P"?Q
Ez=zeros(N,N);
3-;<G
Hx=zeros(N,N);
-c0*
Hy=zeros(N,N);
3S>rc0]6
Ezt=zeros(N,N);
QDK }e:4q
Hxt=zeros(N,N);
9}K K]m6u}
Hyt=zeros(N,N);
GX.a!XQ@!
.hf%L1N%F
Ezxt=zeros(N,N);
n sN n>{
Ezyt=zeros(N,N);
y^X]q[-?
Ezx=zeros(N,N);
f@Ve,i
Ezy=zeros(N,N);
~S :8M<aB
K-.%1d@$y
ox=zeros(N,N);
#QOb[9(Tu(
oy=zeros(N,N);
8 f~M6
omx=zeros(N,N);
$_a/!)bP
omy=zeros(N,N);
]w-W
??hKsjNAm0
$S?xB$
mH<|.7~0
IK4(r /
%--------------------------------常数设定-----------------------------------
hf)RPG&
lamda=7e-6; %波长(m)
]E.FBGT
time=xunhuan; %时间数
V^;lg[:
dx=lamda/14; %横轴间距
NDe FY
dy=lamda/14; %纵轴间距
*r~6R
c=3e+8; %光速(m)
7oL:C
w=2*pi*c/lamda; %角频率
H-m).^
T=2*pi/w; %周期
j\BtaC
dt=T/40; %时间间距
,&O&h2=
e0=8.85e-12;
i3(5 '
u0=4e-7*pi;
HyQ(9cn|
m=4;
$b_~
6|6O| <o
omax=-(m+1)*log(1e-2)/2/sqrt(u0/e0)/d;
G%jV}7h
ommax=u0*omax/e0;
eXLdb-
]P^3uXi
}LWrtmc
ja{x}n*5
=zp{ ^mC
cqb6]
I=10:130;
m+pK,D~{"
J=10:130;
@@!]Raj=
.o<9[d"
I1=2:9;
o/RGz PR
I2=131:138;
2of+KI:
ay{]Vqi9
J1=2:9;
_39VL
J2=131:138;
Q"LlBp>t|#
s9u7zqCF
sG|,#XQ
for p=1:9
Z#;\Rb.x7
ox(:,10-p)=omax*(p/d)^m;
Ym-mfWo^#
omx(:,10-p)=ommax*(p/d)^m;
!.q#X^@>L
ox(:,130+p)=omax*(p/d)^m;
S =sL:FC
omx(:,130+p)=ommax*(p/d)^m;
p .~5k
i MS4<`
0J5$ Yw1'F
oy(10-p,:)=omax*(p/d)^m;
S~g"
omy(10-p,:)=ommax*(p/d)^m;
"zIQ(|TL?d
oy(130+p,:)=omax*(p/d)^m;
bg|=)sw4
omy(130+p,:)=ommax*(p/d)^m;
!0X"^VB
end
WUx2CK2N
Kt"4<'
K1=dt/dy/e0;
UG]5Dxk
K2=dt/dy/u0;
_Mh..#)`[
^(qR({cX
r6:nYyF$)v
5RSP.Vyx{
bGj<Dojl
pqbKPpG
jlD3SF~2
for n=1:time
<V8=*n"mR
%左上角 I1, J1
7Z81+I|&8
% %
MLDAr dvK
Hx(I1,J1)=exp(-omy(I1,J1).*dt/u0).*Hxt(I1,J1)-(1-exp(-omy(I1,J1).*dt/u0))./(dy.*omy(I1,J1)).*(Ezt(I1,J1+1)-Ezt(I1,J1));
7B)@ aUj$
Hy(I1,J1)=exp(-omx(I1,J1).*dt/u0).*Hyt(I1,J1)+(1-exp(-omy(I1,J1).*dt/u0))./(dx.*omx(I1,J1)).*(Ezt(I1+1,J1)-Ezt(I1,J1));
;O .;i,#Z
Ezx(I1,J1)=exp(-ox(I1,J1).*dt/e0).*Ezxt(I1,J1)+(1-exp(-ox(I1,J1).*dt/e0))./(dx.*ox(I1,J1)).*(Hy(I1,J1)-Hy(I1-1,J1));
THwq~c'
Ezy(I1,J1)=exp(-oy(I1,J1).*dt/e0).*Ezyt(I1,J1)-(1-exp(-oy(I1,J1).*dt/e0))./(dy.*oy(I1,J1)).*(Hx(I1,J1)-Hx(I1,J1-1));
M?ElD1#Z
%
fL&e^Q
Ezyt(I1,J1)=Ezy(I1,J1); Ezxt(I1,J1)=Ezx(I1,J1); Ez(I1,J1)=Ezx(I1,J1)+Ezy(I1,J1); Hxt(I1,J1)=Hx(I1,J1); Hyt(I1,J1)=Hy(I1,J1);
Z= pvoTY
Ezt(I1,J1)=Ez(I1,J1);
bh5C
BJZGQrsz
%
2m&?t_W
% 上边界 I1, J
:|ytw=3>
K}LF ${bS
Hx(I1,J)=exp(-omy(I1,J).*dt/u0).*Hxt(I1,J)-(1-exp(-omy(I1,J).*dt/u0))./(dy.*omy(I1,J)).*(Ezt(I1,J+1)-Ezt(I1,J));
iA"H*0
Hy(I1,J)=Hyt(I1,J)+K2.*(Ezt(I1+1,J)-Ezt(I1,J));
0}Qd
Ezx(I1,J)=Ezxt(I1,J)+K1.*(Hy(I1,J)-Hy(I1-1,J));
t |:XSJ9
Ezy(I1,J)=exp(-oy(I1,J).*dt/e0).*Ezyt(I1,J)-(1-exp(-oy(I1,J).*dt/e0))./(dy.*oy(I1,J)).*(Hx(I1,J)-Hx(I1,J-1));
'GZ,
E3_ 5~>
$A: ?o?"7}
bde6 ;=oM
Ezyt(I1,J)=Ezy(I1,J); Ezxt(I1,J)=Ezx(I1,J); Ez(I1,J)=Ezx(I1,J)+Ezy(I1,J); Hxt(I1,J)=Hx(I1,J); Hyt(I1,J)=Hy(I1,J);
5XNFu C9E
Ezt(I1,J)=Ez(I1,J);
ugW.nf*O
QP6a,^];
% %右上角 I1, J2
c 8|&Q
%
aQ1n1OBr
%
{\k:?w4
% Hx(I1,J2)=exp(-omy(I1,J2).*dt/u0).*Hxt(I1,J2)-(1-exp(-omy(I1,J2).*dt/u0))./(dy.*omy(I1,J2)).*(Ezt(I1,J2+1)-Ezt(I1,J2));
O;#0Yg
% Hy(I1,J2)=exp(-omx(I1,J2).*dt/u0).*Hyt(I1,J2)+(1-exp(-omy(I1,J2).*dt/u0))./(dx.*omx(I1,J2)).*(Ezt(I1+1,J2)-Ezt(I1,J2));
R"71)ob4
% Ezx(I1,J2)=exp(ox(I1,J2).*dt/e0).*Ezxt(I1,J2)+(1-exp(ox(I1,J2).*dt/e0))./(dx.*ox(I1,J2)).*(Hy(I1,J2)-Hy(I1-1,J2));
<$nMqUu0
% Ezy(I1,J2)=exp(-oy(I1,J2).*dt/e0).*Ezyt(I1,J2)-(1-exp(-oy(I1,J2).*dt/e0))./(dy.*oy(I1,J2)).*(Hx(I1,J2)-Hx(I1,J2-1));
OZl0I#@A
% %
lYrW"(2
% Ezyt(I1,J2)=Ezy(I1,J2); Ezxt(I1,J2)=Ezx(I1,J2); Ez(I1,J2)=Ezx(I1,J2)+Ezy(I1,J2); Hxt(I1,J2)=Hx(I1,J2); Hyt(I1,J2)=Hy(I1,J2);
'&y+,2?;Y[
% Ezt(I1,J2)=Ez(I1,J2);
M;0\fUh;
% % %左边界 I,J1
lIatM@gU
Hx(I,J1)=Hxt(I,J1)-K2.*(Ezt(I,J1+1)-Ezt(I,J1));
l_&T)Ei
Hy(I,J1)=exp(-omx(I,J1).*dt/u0).*Hyt(I,J1)+(1-exp(-omy(I,J1).*dt/u0))./(dx.*omx(I,J1)).*(Ezt(I+1,J1)-Ezt(I,J1));
7<F{a"5P
Ezx(I,J1)=exp(-ox(I,J1).*dt/e0).*Ezxt(I,J1)+(1-exp(-ox(I,J1).*dt/e0))./(dx.*ox(I,J1)).*(Hy(I,J1)-Hy(I-1,J1));
!h*F58
Ezy(I,J1)=Ezyt(I,J1)-K1.*(Hx(I,J1)-Hx(I,J1-1));
E{B40E~4
c/G^}d%
Ezyt(I,J1)=Ezy(I,J1); Ezxt(I,J1)=Ezx(I,J1); Ez(I,J1)=Ezx(I,J1)+Ezy(I,J1); Hxt(I,J1)=Hx(I,J1); Hyt(I,J1)=Hy(I,J1);
4e|(= W`
Ezt(I,J1)=Ez(I,J1);
QnH~' k
%中心循环区域
z-kB!~r
Ez(I,J)=Ezt(I,J)+dt/e0*(-((Hxt(I,J)-Hxt(I,J-1))/dy-(Hyt(I,J)-Hyt(I-1,J))/dx));
SYv5{bff =
Ez(70,70)=sin(w*(n+1/2)*dt)*kaiguan((n+1/2)*dt,T); %光源设定
X5P1wxk'
Hy(I,J)=Hyt(I,J)+dt/u0*((Ez(I+1,J)-Ez(I,J))/dx);
m8v=pab e
Hx(I,J)=Hxt(I,J)+dt/u0*(-(Ez(I,J+1)-Ez(I,J))/dy);
3.04Toq!
Ezt(I,J)=Ez(I,J); Hxt(I,J)=Hx(I,J); Hyt(I,J)=Hy(I,J); %上次时间场的分布
O~F8lQ
%
=I)Ex)
% %右边界 I, J2
VZU@G)rd
Hx(I,J2)=Hxt(I,J2)-K2.*(Ezt(I,J2+1)-Ezt(I,J2));
9q<?xO
Hy(I,J2)=exp(-omx(I,J2).*dt/u0).*Hyt(I,J2)+(1-exp(-omy(I,J2).*dt/u0))./(dx.*omx(I,J2)).*(Ezt(I+1,J2)-Ezt(I,J2));
*3y:Wv T>
Ezx(I,J2)=exp(-ox(I,J2).*dt/e0).*Ezxt(I,J2)+(1-exp(-ox(I,J2).*dt/e0))./(dx.*ox(I,J2)).*(Hy(I,J2)-Hy(I-1,J2));
ur/:aI
Ezy(I,J2)=Ezyt(I,J2)-K1.*(Hx(I,J2)-Hx(I,J2-1));
h{VGhkU9f
$K~ t'wr
Ezyt(I,J2)=Ezy(I,J2); Ezxt(I,J2)=Ezx(I,J2); Ez(I,J2)=Ezx(I,J2)+Ezy(I,J2); Hxt(I,J2)=Hx(I,J2); Hyt(I,J2)=Hy(I,J2);
$Mqw)X&q
Ezt(I,J2)=Ez(I,J2);
@0%^\Qf2
% %左下角 I2, J1
S#Pni}JD
% Hx(I2,J1)=exp(-omy(I2,J1).*dt/u0).*Hxt(I2,J1)-(1-exp(-omy(I2,J1).*dt/u0))./(dy.*omy(I2,J1)).*(Ezt(I2,J1+1)-Ezt(I2,J1));
]~m2#g%
% Hy(I2,J1)=exp(-omx(I2,J1).*dt/u0).*Hyt(I2+1,J1)-(1-exp(-omy(I2,J1).*dt/u0))./(dx.*omx(I2,J1)).*(Ezt(I2,J1)-Ezt(I2+1,J1)); %%%%
_ 3jY,*
% Ezx(I2,J1)=exp(-ox(I2,J1).*dt/e0).*Ezxt(I2,J1)-(1-exp(-ox(I2,J1).*dt/e0))./(dx.*ox(I2,J1)).*(Hy(I2-1,J1)-Hy(I2,J1));
F[oTc^dr
% Ezy(I2,J1)=exp(-oy(I2,J1).*dt/e0).*Ezyt(I2,J1)-(1-exp(-oy(I2,J1).*dt/e0))./(dy.*oy(I2,J1)).*(Hx(I2,J1)-Hx(I2,J1-1));
)G$0:-J-
%
tp +H]H3
% Ezyt(I2,J1)=Ezy(I2,J1); Ezxt(I2,J1)=Ezx(I2,J1); Ez(I2,J1)=Ezx(I2,J1)+Ezy(I2,J1); Hxt(I2,J1)=Hx(I2,J1); Hyt(I2,J1)=Hy(I2,J1);
,09d"7`X
% Ezt(I2,J1)=Ez(I2,J1);
a#P{ [
% %下边界 I2, J
sHMZ'9b
Hx(I2,J)=exp(-omy(I2,J).*dt/u0).*Hxt(I2,J)-(1-exp(-omy(I2,J).*dt/u0))./(dy.*omy(I2,J)).*(Ezt(I2,J+1)-Ezt(I2,J));
R<8!lQ4s
Hy(I2,J)=Hyt(I2,J)+K2.*(Ezt(I2+1,J)-Ezt(I2,J));
+q~dS.
Ezx(I2,J)=Ezxt(I2,J)+K1.*(Hy(I2,J)-Hy(I2-1,J));
{(`xA,El
Ezy(I2,J)=exp(-oy(I2,J).*dt/e0).*Ezyt(I2,J)-(1-exp(-oy(I2,J).*dt/e0))./(dy.*oy(I2,J)).*(Hx(I2,J)-Hx(I2,J-1));
AkV8}>G?#A
;e^`r;]
Ezyt(I2,J)=Ezy(I2,J); Ezxt(I2,J)=Ezx(I2,J); Ez(I2,J)=Ezx(I2,J)+Ezy(I2,J); Hxt(I2,J)=Hx(I2,J); Hyt(I2,J)=Hy(I2,J);
v6KF0mqA&
Ezt(I2,J)=Ez(I2,J);
(wEaw|Zx
% %右下角 I2,J2
ljO t~@Ea
% Hx(I2,J2)=exp(-omy(I2,J2).*dt/u0).*Hxt(I2,J2+1)-(1-exp(-omy(I2,J2).*dt/u0))./(dy.*omy(I2,J2)).*(Ezt(I2,J2+1)-Ezt(I2,J2));
9iOTT%pq
% Hy(I2,J2)=exp(-omx(I2,J2).*dt/u0).*Hyt(I2+1,J2)-(1-exp(-omy(I2,J2).*dt/u0))./(dx.*omx(I2,J2)).*(Ezt(I2,J2)-Ezt(I2+1,J2)); %%%%
'uF"O"*
% Ezx(I2,J2)=exp(-ox(I2,J2).*dt/e0).*Ezxt(I2,J2)-(1-exp(-ox(I2,J2).*dt/e0))./(dx.*ox(I2,J2)).*(Hy(I2-1,J2)-Hy(I2,J2));
'Y-Y By :
% Ezy(I2,J2)=exp(-oy(I2,J2).*dt/e0).*Ezyt(I2,J2)-(1-exp(-oy(I2,J2).*dt/e0))./(dy.*oy(I2,J2)).*(Hx(I ..
:]IYw!_-p
P:HmT
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purplefire
UID :16932
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2008-08-19
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1楼
发表于: 2008-08-20 15:02:53
没人理呀…………自己来顶
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lizi
UID :14737
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2楼
发表于: 2008-08-21 11:25:09
二维的怎么不用mur吸收边界呢,效果也挺好的!
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purplefire
UID :16932
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3楼
发表于: 2008-08-21 11:26:17
mur用过了,想试下PML
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gwzhao
方恨少
UID :17098
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4楼
发表于: 2008-10-28 17:29:50
http://bbs.rfeda.cn/read-htm-tid-16687-fpage-0-toread--page-2.html
gzn:]Y^
这里面有个源码PML+2D FDTD。参考一下吧。
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casey
rf币
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感谢回贴相助
2008-10-28
逆流而上
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