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大家帮忙看看我这个UPML有耗介质的迭代方程 ..
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大家帮忙看看我这个UPML有耗介质的迭代方程写的对吗（代码已贴出）？
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xiaoyuan
UID ：53338
注册：
2010-02-28
登录：
2015-12-05
发帖：
156
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仿真二级
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发表于: 2010-08-29 06:12:32
小弟初学者，我基于论坛里Program author: Keely J. Willis, Graduate Student UW Computational Electromagnetics Laboratory
W;o\}irep
Director: Susan C. Hagness编的真空UPML代码的基础上改编成UPML连接有耗介质的代码，但是一旦我把sigma赋值后，比如让sigma=0.5，结果就不对，非常小（10的负一百多次方），而且幅值是一直增大的趋势。但当把sigma赋成0时，结果看上去似乎就合理。不知道为什么，想请各位有经验的高手给点建议或找找原因。 谢谢大家！！
`4$" mO>+
0Uybh.dC
下面是我的迭代方程。其中磁场迭代方程我没有动它，和源代码一样。电场迭代方程我是基于talflove的书第二版第七章7.10节的公式。
Iw48+krm>
J \ G8 g,@
%
Update magnetic field
H 7R1Ga J
0t<TZa]V
bstore=bx;
;[*7UE+#7
bx(2:ie_tot,:,:)=D1hx(2:ie_tot,:,:).* bx(2:ie_tot,:,:)-...
Qg4qjX](?
D2hx(2:ie_tot,:,:).*((ez(2:ie_tot,2:jh_tot,:)-ez(2:ie_tot,1:je_tot,:))-...
3ldOOQW%
(ey(2:ie_tot,:,2:kh_tot)-ey(2:ie_tot,:,1:ke_tot)))./delta;
f^',J@9@
Iunt!L
hx(2:ie_tot,:,:)= D3hx(2:ie_tot,:,:).*hx(2:ie_tot,:,:)+...
\=nY&Ml
D4hx(2:ie_tot,:,:).*(D5hx(2:ie_tot,:,:).*bx(2:ie_tot,:,:)-...
1[^2f70n
D6hx(2:ie_tot,:,:).*bstore(2:ie_tot,:,:));
8_:jPd! 3
F+}MW/ra@
bstore=by;
A}W&=m8!
by(:,2:je_tot,:)=D1hy(:,2:je_tot,:).* by(:,2:je_tot,:)-...
* O +N4tq
D2hy(:,2:je_tot,:).*((ex(:,2:je_tot,2:kh_tot)-ex(:,2:je_tot,1:ke_tot))-...
VdYu| w ;v
(ez(2:ih_tot,2:je_tot,:)-ez(1:ie_tot,2:je_tot,:)))./delta;
G<>`O;i
j]kx~
hy(:,2:je_tot,:)= D3hy(:,2:je_tot,:).*hy(:,2:je_tot,:)+...
o^lKM?t
D4hy(:,2:je_tot,:).*(D5hy(:,2:je_tot,:).*by(:,2:je_tot,:)-...
_o< 8R@1
D6hy(:,2:je_tot,:).*bstore(:,2:je_tot,:));
I*'QD)
&"25a[x{B
bstore=bz;
fD V:u eO
bz(:,:,2:ke_tot)=D1hz(:,:,2:ke_tot).* bz(:,:,2:ke_tot)-...
6Si z9
D2hz(:,:,2:ke_tot).*((ey(2:ih_tot,:,2:ke_tot)-ey(1:ie_tot,:,2:ke_tot))-...
OI1&Z4Lx
(ex(:,2:jh_tot,2:ke_tot)-ex(:,1:je_tot,2:ke_tot)))./delta;
wG -X833\(
rs<UWk<q
hz(:,:,2:ke_tot)= D3hz(:,:,2:ke_tot).*hz(:,:,2:ke_tot)+...
5z=;q !3
D4hz(:,:,2:ke_tot).*(D5hz(:,:,2:ke_tot).*bz(:,:,2:ke_tot)-...
`L0}^ |`9
D6hz(:,:,2:ke_tot).*bstore(:,:,2:ke_tot));
5B"j\TwQ
,%D \
% Update electric field
{E>kFeg
BE:GB?XBH
p1store=px1;
#Ig Y'L
z}kD :A)a
px1(:,2:je_tot,2:ke_tot)=C1ex(:,2:je_tot,2:ke_tot).* px1(:,2:je_tot,2:ke_tot)+...
)=2 iGEVW
C2ex(:,2:je_tot,2:ke_tot).*((hz(:,2:je_tot,2:ke_tot)-hz(:,1:je_tot-1,2:ke_tot))-...
c7sW:Yzil
( hy(:,2:je_tot,2:ke_tot)-hy(:,2:je_tot,1:ke_tot-1)))./delta;
s% I) +|
P1)9OE
p2store=px2;
5{j1<4zxR
$+ lc;N
px2(:,2:je_tot,2:ke_tot)=C3ex(:,2:je_tot,2:ke_tot).* px2(:,2:je_tot,2:ke_tot)+...
R5| c4v{B
C4ex(:,2:je_tot,2:ke_tot).*( px1(:,2:je_tot,2:ke_tot)-...
e6,/ i
p1store(:,2:je_tot,2:ke_tot));
& [4 Gv61
mKn:EqA
ex(:,2:je_tot,2:ke_tot)=C5ex(:,2:je_tot,2:ke_tot).* ex(:,2:je_tot,2:ke_tot)+...
vrQ/Yf:\B
C6ex(:,2:je_tot,2:ke_tot).*(C7ex(:,2:je_tot,2:ke_tot).* px2(:,2:je_tot,2:ke_tot)-...
F~&bgl[YZ
C8ex(:,2:je_tot,2:ke_tot).*p2store(:,2:je_tot,2:ke_tot));
bluhiiATd
BQ &|=a6
p1store=py1;
X 5pp8 ~
8NA2C.gOZ
py1(2:ie_tot,:,2:ke_tot)=C1ey(2:ie_tot,:,2:ke_tot).* py1(2:ie_tot,:,2:ke_tot)+...
qm8[ ^jO&
C2ey(2:ie_tot,:,2:ke_tot).*((hx(2:ie_tot,:,2:ke_tot)-hx(2:ie_tot,:,1:ke_tot-1))-...
c:4 i&|n
( hz(2:ie_tot,:,2:ke_tot)-hz(1:ie_tot-1,:,2:ke_tot)))./delta;
D/B b)]9I
ax,%07hJ
p2store=py2;
tP7l ;EX4
s [@I I ]
py2(2:ie_tot,:,2:ke_tot)=C3ey(2:ie_tot,:,2:ke_tot).* py2(2:ie_tot,:,2:ke_tot)+...
~ /]u72?rP
C4ey(2:ie_tot,:,2:ke_tot).*( py1(2:ie_tot,:,2:ke_tot)-...
mD=x3d
p1store(2:ie_tot,:,2:ke_tot));
b,~6cDU
n:' Mpux
ey(2:ie_tot,:,2:ke_tot)=C5ey(2:ie_tot,:,2:ke_tot).* ey(2:ie_tot,:,2:ke_tot)+...
S9U`-\L0
C6ey(2:ie_tot,:,2:ke_tot).*(C7ey(2:ie_tot,:,2:ke_tot).* py2(2:ie_tot,:,2:ke_tot)-...
pWK7B`t
C8ey(2:ie_tot,:,2:ke_tot).*p2store(2:ie_tot,:,2:ke_tot));
uq {w1O5
v2/@Pu!kg
p1store=pz1;
qfx=
m)g:@^$
pz1(2:ie_tot,2:je_tot,:)=C1ez(2:ie_tot,2:je_tot,:).* pz1(2:ie_tot,2:je_tot,:)+...
D&: ,,Dp
C2ez(2:ie_tot,2:je_tot,:).*((hy(2:ie_tot,2:je_tot,:)-hy(1:ie_tot-1,2:je_tot,:))-...
D O#4E<]5
( hx(2:ie_tot,2:je_tot,:)-hx(2:ie_tot,1:je_tot-1,:)))./delta;
0c /xE<h
p2store=pz2;
vm 1vX;
z-ra]
pz2(2:ie_tot,2:je_tot,:)=C3ez(2:ie_tot,2:je_tot,:).* pz2(2:ie_tot,2:je_tot,:)+...
-n+ =[M
C4ez(2:ie_tot,2:je_tot,:).*( pz1(2:ie_tot,2:je_tot,:)-...
A^*0{F?,)
p1store(2:ie_tot,2:je_tot,:));
FUiEayM
%h( J+_"L6
pz2(is,js,ks:ks+1)=pz2(is,js,ks:ks+1)+exp(-((n-4.5*tau/dt)^2/(tau/dt)^2));
@tR:}J*9s
X\V1c$13CK
ez(2:ie_tot,2:je_tot,:)=C5ez(2:ie_tot,2:je_tot,:).* ez(2:ie_tot,2:je_tot,:)+...
FK{Vnj0
C6ez(2:ie_tot,2:je_tot,:).*(C7ez(2:ie_tot,2:je_tot,:).* pz2(2:ie_tot,2:je_tot,:)-...
IP9mv`[
C8ez(2:ie_tot,2:je_tot,:).*p2store(2:ie_tot,2:je_tot,:));
!S$LRm\ '
g >u { H:
以下是全部代码：希望各位能帮忙看看哪里不对。
[,yoFm% "
（注明：我在给迭代系数赋值时是一部分一部分慢慢赋值，并没有像原代码那样一起赋值，所以有点冗长，但是我目前是想找出这个代码哪里有毛病。所以优化问题先放一边，希望大家能理解，如果对代码有不清楚的地方，回复我。我会每天都上论坛给予解释。谢谢！）
Q6]SsV?x
:$L^l{gT
（说明：（其实大家不用在意这个）为了方便大家理解，我的UPML层，想象中是整体向内缩减了0.25个网格长度。如果把网格坐标定为1，2，3...一直到61（60个格子)，那pml层的坐标就是从1.25，2.25，3.25.... 一直到11.25和 从50.75，51.75....一直到60.75。大家可以想象一下。 （原来可能是从1，2，3...到11，51,52，53.....到61 我就是将每个方向的pml的范围将两头向中间压缩了0.25个网格长。）
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T}M!A|
tp7cc;0
%***********************************************************************
1 cvoI
% Fundamental constants
J7c(qGJI2
%***********************************************************************
2mRm.e9?
c riOJ-
cc=2.99792458e8;
R %aed>zo
muz=4.0*pi*1.0e-7;
|eU{cK~e^
epsz=1.0/(cc*cc*muz);
h3[^uY e
etaz=sqrt(muz/epsz);
V* Ta[)E
sigma_e=0.0; %大家run一下程序就知道当将此处sigma_e的值改为比如0.5，结果就不太对。为什么？？
R m>AU=
W; P8=q
4|ML#aRz
%***********************************************************************
g\ilK:r}
% Material parameters
Eg$ I
%***********************************************************************
8{^zXJi]m
$~W =)f9
mur=1.0;
l`>|XUf6
epsr=80;
6F !B;D -Q
freq=20000;
o'+p,_y9Y@
eta=etaz*sqrt(mur/epsr); %
U["'>&B
bwG$\Oe6
c=1/sqrt(epsr*epsz*muz*mur);
0g o{gUI
%***********************************************************************
z.P<)[LUc
% Grid parameters
/m"O.17N
%
mu@He&w"
% Each grid size variable name describes the number of sampled points
1P;J%. {
% for a particular field component in the direction of that component.
leR-oeSO
% Additionally, the variable names indicate the region of the grid
r01Z 0>
% for which the dimension is relevant. For example, ie_tot is the
J2W#vFe\
% number of sample points of Ex along the x-axis in the total
$F2 A
% computational grid, and jh_bc is the number of sample points of Hy
EhB0w; c
% along the y-axis in the y-normal UPML regions.
Qu"zzb"k
%
bys5IOP{]o
%***********************************************************************
Ymt.>8L
"MM)AY*b
@{n"/6t
%是一个三维立方体空间，60*60*60（已经包括了厚度为10的upml层）
v P;
z0 !k
|zd+ \o
ie=40; % Size of main grid
>BFUts%
je=40;
( y0
ke=40;
R2,Z`I
ih=ie+1;
%k3A`ClW
jh=je+1;
"Te[R%aP
kh=ke+1;
40 h
v,, .2UR4
upml=10; % Thickness of PML boundaries
"Tt5cqUQoY
ih_bc=upml+1;
,yf2kU
jh_bc=upml+1;
?V&# nA
kh_bc=upml+1;
^__';! e
\USl 9*E
ie_tot=ie+2*upml; % Size of total computational domain
UZvF5Hoe+O
je_tot=je+2*upml;
vJI]ZnL{
ke_tot=ke+2*upml;
2PZ#w(An&
ih_tot=ie_tot+1;
:O)\+s-
jh_tot=je_tot+1;
-j& A;G
kh_tot=ke_tot+1;
5! -+5TJI
w eX%S&#?
pxs = 11;
u]0{#wu;g
pys = 11;
,! b9
pzs = 11;
%'o'Kh''=
'rl?'~={p
pxe = 51;
i=3~ h Zl
pye = 51;
H. o=4[
pze = 51;
9 696EQ,I
IX+!+XC"U
is=round(ih_tot/2); % Location of z-directed current source
Y.yiUf/Q
js=round(jh_tot/2);
AdU0 sZ+&c
ks=round(ke_tot/2);
}ZqnsLu[)
D`c&Q4$:
%***********************************************************************
l;7T.2J'Z
% Fundamental grid parameters
r_>]yp
%***********************************************************************
T"IDCT'z
!1m7^3l7j
delta= 83.794539403718844;
h8XoF1wuw
dt=0.9./sqrt(3.0./delta./delta)./c;
/dI8o
%dt=delta*sqrt(epsr*mur)/(2.0*cc);
qzk!'J3*r<
%dt=delta*0.5/c;
y j E $o?A
nmax=200;
u0;k_6N
pf% yEz
%***********************************************************************
80_}}op ?8
% Differentiated Gaussian pulse excitation
E5iNuJj=f
%***********************************************************************
E|_J
MZd?cS
rtau=50.0e-12;
_|jEuif
%tau=rtau/dt;
OV2/?
tau = 20*delta/2/c;
Wr+/ 9
ndelay=3*tau;
"50 c<sZSB
J0=-1.0*epsz;
{q!GTO
V*6o |#
%***********************************************************************
zQ~N(Jj?h
% Initialize field arrays
_9f7@@b
%***********************************************************************
k^@dDLr "
kY?w] lS)t
ex =zeros(ie_tot,jh_tot,kh_tot);
L$t.$[~L
px1=zeros(ie_tot,jh_tot,kh_tot);
:@@aIFRv
px2=zeros(ie_tot,jh_tot,kh_tot);
0?,<7}"< X
/$NR@56 \
ey= zeros(ih_tot,je_tot,kh_tot);
7?@ -|{
py1=zeros(ih_tot,je_tot,kh_tot);
- y|*x-iZ
py2=zeros(ih_tot,je_tot,kh_tot);
b9R0"w!ml
L_`D
ez= zeros(ih_tot,jh_tot,ke_tot);
do[w&`jw 8
pz1=zeros(ih_tot,jh_tot,ke_tot);
lJvfgP-j
pz2=zeros(ih_tot,jh_tot,ke_tot);
^#gJf*'UE
_s18^7
hx=zeros(ih_tot,je_tot,ke_tot);
l6T^e@*
hy=zeros(ie_tot,jh_tot,ke_tot);
imc1rY!~'
hz=zeros(ie_tot,je_tot,kh_tot);
6c6 w w"
bx=zeros(ih_tot,je_tot,ke_tot);
{[ pzqzL6
by=zeros(ie_tot,jh_tot,ke_tot);
)k[{re
bz=zeros(ie_tot,je_tot,kh_tot);
;: xE'-
yz7Fe
%***********************************************************************
PiIP%$72O
% Initialize update coefficient arrays
fnJx$PD~
%***********************************************************************
H# H[8#
% 系数矩阵
oL U !x
C1ex=zeros(size(ex));
Egt !N
C2ex=zeros(size(ex));
#;0F-pt
C3ex=zeros(size(ex));
) vD:
C4ex=zeros(size(ex));
Ua.%?V
C5ex=zeros(size(ex));
0e +Qn&$#4
C6ex=zeros(size(ex));
* ,L e--t
C7ex=zeros(size(ex));
PR3i }y>
C8ex=zeros(size(ex));
mrQT:B\8
uOAd$;h@_Z
C1ey=zeros(size(ey));
Nt,:`o |
C2ey=zeros(size(ey));
:z-?L0C=0
C3ey=zeros(size(ey));
=d BK,/
C4ey=zeros(size(ey));
K%.t%)A_3
C5ey=zeros(size(ey));
ku)/ 8Z`$
C6ey=zeros(size(ey));
9 lXnNK |]
C7ey=zeros(size(ey));
b5)1\ANq
C8ey=zeros(size(ey));
;$vVYC
yZ-Ql1 1
C1ez=zeros(size(ez));
f"-3'kqo
C2ez=zeros(size(ez));
%RX!Pi}5+g
C3ez=zeros(size(ez));
: #OaE,
C4ez=zeros(size(ez));
h$]nfHi_Q
C5ez=zeros(size(ez));
6 \?GY
C6ez=zeros(size(ez));
Nd He::
C7ez=zeros(size(ez));
Q k2*=B Vh
C8ez=zeros(size(ez));
/H*[~b
KFBBqP
D1hx=zeros(size(hx));
(qw;-A W8
D2hx=zeros(size(hx));
~^/BAc
D3hx=zeros(size(hx));
.npD<*
D4hx=zeros(size(hx));
fQxlYD'peb
D5hx=zeros(size(hx));
t>vr3)W
D6hx=zeros(size(hx));
l0PXU)>C
9 ^CuSj
D1hy=zeros(size(hy));
[(; . D
D2hy=zeros(size(hy));
emHaZhh
D3hy=zeros(size(hy));
_"t "orD6
D4hy=zeros(size(hy));
}XD=N#p@z
D5hy=zeros(size(hy));
p4uN+D `.U
D6hy=zeros(size(hy));
q{}U5(,{0
CG ,H
D1hz=zeros(size(hz));
K wY6pF*
D2hz=zeros(size(hz));
bg2r
D3hz=zeros(size(hz));
-amNz.`[PR
D4hz=zeros(size(hz));
F?Fxm* Wa/
D5hz=zeros(size(hz));
JM fv|>=
D6hz=zeros(size(hz));
=d$m@rc0r
Et'&}NjI
%***********************************************************************
\I7&F82e
% Update coefficients, as described in Section 7.8.2.
^7Ebg5<
%
<u ImZC
% In order to simplify the update equations used in the time-stepping
~zoZ{YqP
% loop, we implement UPML update equations throughout the entire
z $iI
% grid. In the main grid, the electric-field update coefficients of
Jq:Wt+a
% Equations 7.91a-f and the correponding magnetic field update
79 \SbB
% coefficients extracted from Equations 7.89 and 7.90 are simplified
J u"/#@
% for the main grid (free space) and calculated below.
h ^Wm03w
%
ikb;,Js
%***********************************************************************
xB_7 8X1
!jg< S >S5
%以下是主区域的迭代系数，即非pml参数时的系数
* $|9e
C1=(2*epsz*epsr-sigma_e*dt)/(2*epsz*epsr+sigma_e*dt);
g*W Y kv
C2=2*dt/(2*epsz*epsr+sigma_e*dt);
MSb0J `
C3=1.0;
;ykX]5jGh
C4=1.0;
nj#kzD[n>
C5=1.0;
UW Px|]RC
C6=1/2/epsz/epsr;
/t J%gF
C7=2*epsz*epsr;
~X-v@a
C8=2*epsz*epsr;
G%dzJpC(
O{Z bpa^
D1=1.0;
<Q8d{--o
D2=dt;
>CYz6G j
D3=1.0;
CN6b 982&
D4=1.0/2.0/epsr/epsz/mur/muz;
_4LDzVjNRe
D5=2.0*epsr*epsz;
L2%n pps
D6=2.0*epsr*epsz;
v<ati c
f9HoQDFsM
%***********************************************************************
M1eM^m8U
% Initialize main grid update coefficients
7WHq'R{@
%***********************************************************************
: Vrj[i-{
% 给主计算区域系数赋值。
^V"0 8
C1ex(:,:,:)=C1;
"d*-k R
C2ex(:,:,:)=C2;
z J V>;
C3ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C3; %11 51
+vYV x<uTQ
C4ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C4;
^qtJcMK+hq
C5ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C5; %11 51
{3 BWT
C6ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C6;
\98|.EG
C7ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C7; %11 50
l M a||
C8ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C8;
; m"R.Q9*
7-}/{o*,5
C1ey(:,:,:)=C1;
gb26Y!7%
C2ey(:,:,:)=C2;
/~+ j[o B
C3ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C3; %11 51
wc ;^C?PX
C4ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C4;
bLC+73BjC
C5ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C5; %11 51
EdCcnl?R6
C6ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C6;
Me-H'M p~
C7ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C7; %11 50
A/OGF>
C8ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C8;
#U6~U6@
*X 2dS {
C1ez(:,:,:)=C1;
} DjbVYH
C2ez(:,:,:)=C2;
.G>6_n3
C3ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C3; %11 51
AQs_( LR
C4ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C4;
qJK6S4O]
C5ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C5; %11 51
Sr-!-eC
C6ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C6;
%.s"l6 W
C7ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C7; %11 50
DuRC1@e
C8ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C8;
W3xObt3w\
X1 ="1{8H
D1hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D1; %11 50
,ysn 7Y{Y
D2hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D2;
[?n}?0
D3hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D3; %11 50
H6Kt^s<6xu
D4hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D4;
H,)2 Ou-Wn
D5hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D5; %11 51
\O\veB8
D6hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D6;
T*#< p;
1 ifPc5j}
D1hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D1; %11 50
qbo W<W<H1
D2hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D2;
{WuUzq`
D3hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D3; %11 50
\; zix(N[5
D4hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D4;
~./M5P!\
D5hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D5; %11 51
e9eBD
D6hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D6;
AE4>pzB e
{+ WI>3
D1hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D1; %11 50
)C >M74Bt
D2hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D2;
5xc-MkIRL
D3hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D3; %11 50
+?Y(6$o
D4hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D4;
`%.x0~ ih
D5hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D5; %11 51
mk +BeK
D6hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D6;
{&h=
G:; (,
rmax=exp(-16); % R(0) desired reflection error, designated as R(0) in Equation 7.62
o vX 9
_'P!>C!
orderbc=4; % m order of the polynomial grading, designated as m in Equation 7.60a,b
jxZd =%7Q
A w)P%r
% 以下是给pml层的系数赋值，我完全是用的talflove书上的公式，没有用原来代码中的公式
ys9MV%*
% x-varying material properties
zg{
delbc=upml*delta; % d
[4HOWM>\
sigmam=-log(rmax)*(orderbc+1.0)/(2.0*eta*delbc);
!qJ|`o Y
%sigfactor=sigmam/(delta*(delbc^orderbc)*(orderbc+1.0));
T] ?QCf
kmax=1;
r%II` i
kfactor=(kmax-1.0)/delta/(orderbc+1.0)/delbc^orderbc;
s ]Db<f
sX]ru^F3
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
tSq`_[@
% xp xn
&uxwz@RC0
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
MU~n vs;:
ea!Z nld]
% Coefficients for field components in the center of the grid cell
#zKF/H|_R
+WSM< S2 U
% x1=(upml-i+1)*delta;x1;
Zc*gRC
% x2=(upml-i)*delta;x2;
0^3@>> ^
r_center = ([1:upml] - 0.25)/upml;
d<v)ovQJ]
U=ie| 3
%按照场分量在网格中的位置，我每一个方向有两个循环，分别对应分量在网格中间和在网格边上
_pR7sNe V
E#,n.U>#)
for i=1:upml
fg8U* 7
%sigma=sigfactor*(x1^(orderbc+1)-x2^(orderbc+1));
67d p)X
%ki=1+kfactor*(x1^(orderbc+1)-x2^(orderbc+1));
S.NLxb/
sigma(i) = sigmam * r_center(i)^orderbc;
/-1 F9
ki = 1;
A@OSh6/{h
facm=(2*epsr*epsz*ki-sigma(i)*dt);
|I=\+P}s
facp=(2*epsr*epsz*ki+sigma(i)*dt);
O\zGN/!
%ie_tot-upml+i;
,7izrf8
%upml-i+1;
<{Ir',;
}P"JP[#E\
C7ex(upml-i+1,:,:)=facp;
\:91BQP c
C7ex(ie_tot-upml+i,:,:)=facp;
+X7+:QQ }
C8ex(upml-i+1,:,:)=facm;
3gY4h*|`<
C8ex(ie_tot-upml+i,:,:)=facm;
F anA ~
D1hz(upml-i+1,:,:)=facm/facp;
W\ <p`xHk
D1hz(ie_tot-upml+i,:,:)=facm/facp;
/,2${$c!
D2hz(upml-i+1,:,:)=2.0*epsr*epsz*dt/facp;
j!QP>AM|`
D2hz(ie_tot-upml+i,:,:)=2.0*epsr*epsz*dt/facp;
L51uC ,QF
D3hy(upml-i+1,:,:)=facm/facp;
}5sJd>u5^
D3hy(ie_tot-upml+i,:,:)=facm/facp;
`K \(I#z
D4hy(upml-i+1,:,:)=1.0/facp/mur/muz;
3}X; WE `
D4hy(ie_tot-upml+i,:,:)=1.0/facp/mur/muz;
oS_<;Fj
|.[4$C
end
7I<] ;j
S t0AV.N1
% Coefficients for field components on the grid cell boundary
kDr0D$iE
w(vda0
r_boundary = ([1:upml] - 0.75)/upml;
C6(W nO{6
*27*&&=)H
'}T6e1#JV
for i=1:upml
7 = x]p
% x1=(upml-i+1.5)*delta;
R?$ Nl
% x2=(upml-i+0.5)*delta;
pZe:U; bb
% sigma=sigfactor*(x1^(orderbc+1)-x2^(orderbc+1));
cakb.Q
% ki=1.0+kfactor*(x1^(orderbc+1)-x2^(orderbc+1));
&d^u$Y5
sigma(i) = sigmam * r_boundary(i)^orderbc;
~85Pgb<
ki = 1;
^q l+l~
facm=(2.0*epsr*epsz*ki-sigma(i)*dt);
do(komP<\
facp=(2.0*epsr*epsz*ki+sigma(i)*dt);
\~bE|jWbj
c`h/x>f a
C3ez(upml-i+2,:,:)=facm/facp;
8k`rj ;
C3ez(ie_tot-upml+i,:,:)=facm/facp;
7ezf.[{R
C4ez(upml-i+2,:,:)=2*epsr*epsz/facp;
JOJ? .H&su
C4ez(ie_tot-upml+i,:,:)=2*epsr*epsz/facp;
rocG;$[
C5ey(upml-i+2,:,:)=facm/facp;
*$o{+YP
C5ey(ie_tot-upml+i,:,:)=facm/facp;
6v }WdK
C6ey(upml-i+2,:,:)=1.0/facp;
U m9]X@z
C6ey(ie_tot-upml+i,:,:)=1.0/facp;
^gD%#3>X
D5hx(upml-i+2,:,:)=facp;
CJu3h&Rp
D5hx(ie_tot-upml+i,:,:)=facp;
=e$6o 2!'}
D6hx(upml-i+2,:,:)=facm;
eb>YvC
D6hx(ie_tot-upml+i,:,:)=facm;
4`#3p@-
ce\ F~8y
end
DEkFmmw
F Uj4y 9X
% 以下可能大家看了有点迷惑，是在xp(x的正方向的pml层）中除了和sigmax有关的系数之外，
1f^4J~{
% 其他不含sigmax的系数赋值。
W g2Y`2@t
%xp
|KxFi H
C3ex(pxe:ie_tot,pys+1:pye-1,2:ke_tot)=C3;
j Pf*qe>U
C4ex(pxe:ie_tot,pys+1:pye-1,2:ke_tot)=C4;
?4i:$.A Y
C5ex(pxe:ie_tot,2:je_tot,pzs+1:pze-1)=C5;
79 ZBVe(}
C6ex(pxe:ie_tot,2:je_tot,pzs+1:pze-1)=C6;
RxVf:h'l
xl~%hw Bd
C3ey(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=C3;
x0!5z1KQh
C4ey(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=C4;
C4~`3Mk
C7ey(pxe:ie_tot,pys:pye-1,2:ke_tot)=C7;
-] .Y";
C8ey(pxe:ie_tot,pys:pye-1,2:ke_tot)=C8;
(C EXPf
p x1{=~V/
C5ez(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=C5;
(S[" a k
C6ez(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=C6;
}$ZcC_
C7ez(pxe:ie_tot,2:je_tot,pzs:pze-1)=C7;
$}G03G@
C8ez(pxe:ie_tot,2:je_tot,pzs:pze-1)=C8;
v"&Fj
HrZ\=1RB
D1hx(pxe:ie_tot,pys:pye-1,1:ke_tot)=D1;
aGY F\7
D2hx(pxe:ie_tot,pys:pye-1,1:ke_tot)=D2;
51k^?5cO
D3hx(pxe:ie_tot,1:je_tot,pzs:pze-1)=D3;
BI,j/SRK
D4hx(pxe:ie_tot,1:je_tot,pzs:pze-1)=D4;
A+lP]Oy0S
5B'};AQ
D1hy(pxe:ie_tot,2:je_tot,pzs:pze-1)=D1;
dM1)wkbET
D2hy(pxe:ie_tot,2:je_tot,pzs:pze-1)=D2;
N{<=s]I%x
D5hy(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=D5;
Cq,ox'kGl
D6hy(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=D6;
JS<4%@
&k+'TcWm
D3hz(pxe:ie_tot,pys:pye-1,2:ke_tot)=D3;
w3=Bj
D4hz(pxe:ie_tot,pys:pye-1,2:ke_tot)=D4;
6 KD
D5hz(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=D5;
N3Jfp3_b@
D6hz(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=D6;
- zQ
t%n3~i4X:
% 以下可能大家看了有点迷惑，是在xn(x的负方向的pml层）中除了和sigmax有关的系数之外，
.iB ?:
% 其他不含sigmax的系数赋值。
[fU2$(mT+
%xn
nsJN) Pt
C3ex(1:pxs-1,pys+1:pye-1,2:ke_tot)=C3;
\e/'d~F
C4ex(1:pxs-1,pys+1:pye-1,2:ke_tot)=C4;
/f7Fv*z/
C5ex(1:pxs-1,2:je_tot,pzs+1:pze-1)=C5;
8U07]=Bt<
C6ex(1:pxs-1,2:je_tot,pzs+1:pze-1)=C6;
N +9`'n^x
{{?[b^
C3ey(2:pxs,1:je_tot,pzs+1:pze-1)=C3;
u8 Au `
C4ey(2:pxs,1:je_tot,pzs+1:pze-1)=C4;
r>hkm 53
C7ey(2:pxs,pys:pye-1,2:ke_tot)=C7;
D+.h *{gD
C8ey(2:pxs,pys:pye-1,2:ke_tot)=C8;
4#z@B1Jx
{yy ^DlHb
C5ez(2:pxs,pys+1:pye-1,1:ke_tot)=C5;
pA*cF!tq 7
C6ez(2:pxs,pys+1:pye-1,1:ke_tot)=C6;
Dm 1;mR S+
C7ez(2:pxs,2:je_tot,pzs:pze-1)=C7;
qxsK-8KT<
C8ez(2:pxs,2:je_tot,pzs:pze-1)=C8;
. ` OdnLGy
pOn>m1|
D1hx(2:pxs,pys:pye-1,1:ke_tot)=D1;
1YA _`_@w
D2hx(2:pxs,pys:pye-1,1:ke_tot)=D2;
xrK%3nA4s"
D3hx(2:pxs,1:je_tot,pzs:pze-1)=D3;
+FWkhmTv
D4hx(2:pxs,1:je_tot,pzs:pze-1)=D4;
|"Js iT
5CxD ys&<
D1hy(1:pxs-1,2:je_tot,pzs:pze-1)=D1;
M<, E[2op
D2hy(1:pxs-1,2:je_tot,pzs:pze-1)=D2;
~5HI9A4^
D5hy(1:pxs-1,pys+1:pye-1,1:ke_tot)=D5;
}7Si2S
D6hy(1:pxs-1,pys+1:pye-1,1:ke_tot)=D6;
Cr ,UP8MO
' [fo
D3hz(1:pxs-1,pys:pye-1,2:ke_tot)=D3;
J@y 1L]:
D4hz(1:pxs-1,pys:pye-1,2:ke_tot)=D4;
CqUK[#kW(
D5hz(1:pxs-1,1:je_tot,pzs+1:pze-1)=D5;
s fxQ
D6hz(1:pxs-1,1:je_tot,pzs+1:pze-1)=D6;
^3N i
yFT)R hN
% PEC walls
g(\FG
% C3ez(1,:,:)=-1.0;
r[zxb0YA
% C3ez(ih_tot,:,:)=-1.0;
J 3fcnI
% C4ez(1,:,:)=0.0;
'Pudy\Ab
% C4ez(ih_tot,:,:)=0.0;
iNR6BP W
% C5ey(1,:,:)=-1.0;
5uK:f\y)l
% C5ey(ih_tot,:,:)=-1.0;
)g:\N8A ZK
% C6ey(1,:,:)=0.0;
M?4)U"_VE
% C6ey(ih_tot,:,:)=0.0;
Vc3tKuMsiX
*f:^ 6h
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
bmotR8d
% y-varying material properties
w< *tbq
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
> _1*/o JO
delbc=upml*delta;
zxtx~XO
sigmam=-log(rmax)*epsr*epsz*cc*(orderbc+1.0)/(2.0*delbc);
d*=P8QwL|
% sigfactor=sigmam/(delta*(delbc^orderbc)*(orderbc+1.0));
=Uta5$\a)
kmax=1.0;
tt`j!!
kfactor=(kmax-1.0)/delta/(orderbc+1.0)/delbc^orderbc;
q"5iza__H
I)AV
% Coefficients for field components in the center of the grid cell
5Cd>p<
r_center = ([1:upml] - 0.25)/upml;
k~u$&a
#J]u3*T n|
for j=1:upml
}+0{opY4R
r>S?,qr
KAm v7
% y1=(upml-j+1)*delta;
^0 R.U+?+
% y2=(upml-j)*delta;
=yi RB?
% sigma=sigfactor*(y1^(orderbc+1)-y2^(orderbc+1));
D;It0 "
% ki=1+kfactor*(y1^(orderbc+1)-y2^(orderbc+1));
<jT6|2'
sigma(j) = sigmam * r_center(j)^orderbc;
R74kt36M
ki = 1;
"#2z 'J
facm=(2*epsr*epsz*ki-sigma(j)*dt);
M-u:8dPu
facp=(2*epsr*epsz*ki+sigma(j)*dt);
,V!s w5_5m
\~1M\gZP
C7ey(:,upml-j+1,:)=facp;
w: ~66 TCI
C7ey(:,je_tot-upml+j,:)=facp;
A1:<-TF6^p
C8ey(:,upml-j+1,:)=facm;
'D8WNZ8Q
C8ey(:,je_tot-upml+j,:)=facm;
w1/p wzn
D1hx(:,upml-j+1,:)=facm/facp;
Ns2M8
D1hx(:,je_tot-upml+j,:)=facm/facp;
bo rt2k
D2hx(:,upml-j+1,:)=2*epsr*epsz*dt/facp;
jQzq(oDQw
D2hx(:,je_tot-upml+j,:)=2*epsr*epsz*dt/facp;
}.Ht =E]
D3hz(:,upml-j+1,:)=facm/facp;
q4<3 O"c1
D3hz(:,je_tot-upml+j,:)=facm/facp;
n'{cU (
D4hz(:,upml-j+1,:)=1/facp/mur/muz;
u- 3A6Q
D4hz(:,je_tot-upml+j,:)=1/facp/mur/muz;
z%;b-PpS
end
- *!R
j`A%(( )d
% Coefficients for field components on the grid cell boundary
ozF>2`K }
["4h%{.
r_boundary = ([1:upml] - 0.75)/upml;
-Zd!0HNW1
1+RG@Cp
for j=1:upml
W F<`CQ g[
%y1=(upml-j+1.5)*delta;
^$SI5WK&)
%y2=(upml-j+0.5)*delta;
&Vfdq6Y]
%sigma=sigfactor*(y1^(orderbc+1)-y2^(orderbc+1));
n5A0E 2!
%ki=1+kfactor*(y1^(orderbc+1)-y2^(orderbc+1));
mOr>*uR
sigma(j) = sigmam * r_boundary(j)^orderbc;
tgH@|Kg
ki = 1;
9S@PY_ms
facm=(2*epsr*epsz*ki-sigma(j)*dt);
,qV8(`y_
facp=(2*epsr*epsz*ki+sigma(j)*dt);
:}0y[qc3
Io *`hA]
C3ex(:,upml-j+2,:)=facm/facp;
B B5(=n+
C3ex(:,je_tot-upml+j,:)=facm/facp;
:zZK%} G<
C4ex(:,upml-j+2,:)=2*epsr*epsz/facp;
cS/\&%7u
C4ex(:,je_tot-upml+j,:)=2*epsr*epsz/facp;
rvuskXdo
C5ez(:,upml-j+2,:)=facm/facp;
m!5P5U x
C5ez(:,je_tot-upml+j,:)=facm/facp;
&U ]L@ ]x
C6ez(:,upml-j+2,:)=1/facp;
$^?"/;8P5
C6ez(:,je_tot-upml+j,:)=1/facp;
s~$ZTzV
D5hy(:,upml-j+2,:)=facp;
S\K;h/;V
D5hy(:,je_tot-upml+j,:)=facp;
[ !/ u,
D6hy(:,upml-j+2,:)=facm;
R9nW5f Nf
D6hy(:,je_tot-upml+j,:)=facm;
6lOT5C eJ"
v{ Md4 p
end
MW8GM }Ho[
(:Rj:8{
%yp y的正方向
0gw 0
C5ex(1:ie_tot,pye:je_tot,pzs+1:pze-1)=C5;
.)o<'u@Ri
C6ex(1:ie_tot,pye:je_tot,pzs+1:pze-1)=C6;
"2q}G16K
C7ex(pxs:pxe-1,pye:je_tot,2:ke_tot)=C7;
T1jAY^^I
C8ex(pxs:pxe-1,pye:je_tot,2:ke_tot)=C8;
SYRr| Lg
-j dS8n4
C3ey(2:ie_tot,pye:je_tot,pzs+1:pze-1)=C3;
x zu) ``?
C4ey(2:ie_tot,pye:je_tot,pzs+1:pze-1)=C4;
6gV-u~j [#
C5ey(pxs+1:pxe-1,pye:je_tot,2:ke_tot)=C5;
Z`<S_PPz
C6ey(pxs+1:pxe-1,pye:je_tot,2:ke_tot)=C6;
_Q,`Qn@|BD
K>X#,lE-
C3ez(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=C3;
z&[Rw<{Psb
C4ez(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=C4;
;75K:_
C7ez(2:ie_tot,pye:je_tot,pzs:pze-1)=C7;
p'fq&a+
C8ez(2:ie_tot,pye:je_tot,pzs:pze-1)=C8;
Nw[T P G5
ec+&K ?T
D3hx(2:ie_tot,pye:je_tot,pzs:pze-1)=D3;
^WQ.' G5Q
D4hx(2:ie_tot,pye:je_tot,pzs:pze-1)=D4;
u )PB@
D5hx(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=D5;
Gs;wx_k^
D6hx(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=D6;
)isz }?Dj
e/JbRbZX
D1hy(1:ie_tot,pye:je_tot,pzs:pze-1)=D1;
nI.K|hU:P
D2hy(1:ie_tot,pye:je_tot,pzs:pze-1)=D2;
0>Iy `>]
D3hy(pxs:pxe-1,pye:je_tot,1:ke_tot)=D3;
@igr~hJ
D4hy(pxs:pxe-1,pye:je_tot,1:ke_tot)=D4;
, f{<
r18eu B%
D1hz(pxs:pxe-1,pye:je_tot,2:ke_tot)=D1;
6r {NW9y'
D2hz(pxs:pxe-1,pye:je_tot,2:ke_tot)=D2;
U/9xO"b{.
D5hz(1:ie_tot,pye:je_tot,pzs+1:pze-1)=D5;
U;u@\E@2
D6hz(1:ie_tot,pye:je_tot,pzs+1:pze-1)=D6;
H)z}6[`
rpH ,c[ D
%yn y的负方向
L#mf[a@pCn
C5ex(1:ie_tot,2:pys,pzs+1:pze-1)=C5;
lYldq)qB{
C6ex(1:ie_tot,2:pys,pzs+1:pze-1)=C6;
@dei} !e
C7ex(pxs:pxe-1,2:pys,2:ke_tot)=C7;
p A7&
C8ex(pxs:pxe-1,2:pys,2:ke_tot)=C8;
O_}R~p
6U5L>sQ
C3ey(2:ie_tot,1:pys-1,pzs+1:pze-1)=C3;
} M-^A{C\%
C4ey(2:ie_tot,1:pys-1,pzs+1:pze-1)=C4;
0w 9)#e+JS
C5ey(pxs+1:pxe-1,1:pys-1,2:ke_tot)=C5;
?aOx b
C6ey(pxs+1:pxe-1,1:pys-1,2:ke_tot)=C6;
n4,b?-E>(
t=o2:p6&
C3ez(pxs+1:pxe-1,2:pys,1:ke_tot)=C3;
!qk+>6~A,
C4ez(pxs+1:pxe-1,2:pys,1:ke_tot)=C4;
2# LTd{
C7ez(2:ie_tot,2:pys,pzs:pze-1)=C7;
wm~35cF(
C8ez(2:ie_tot,2:pys,pzs:pze-1)=C8;
W5 ^eCYHoi
N Q~keN
D3hx(2:ie_tot,1:pys-1,pzs:pze-1)=D3;
=vJ:R[Ilw
D4hx(2:ie_tot,1:pys-1,pzs:pze-1)=D4;
/ap3>xkt
D5hx(pxs+1:pxe-1,1:pys-1,1:ke_tot)=D5;
*Z'*^Y1le
D6hx(pxs+1:pxe-1,1:pys-1,1:ke_tot)=D6;
l =~EweuM
4{4VC"fa
D1hy(1:ie_tot,2:pys,pzs:pze-1)=D1;
f Ne9as
D2hy(1:ie_tot,2:pys,pzs:pze-1)=D2;
.anXsjD%W
D3hy(pxs:pxe-1,2:pys,1:ke_tot)=D3;
ln.'} P
D4hy(pxs:pxe-1,2:pys,1:ke_tot)=D4;
Z6C!-a
;Gixu9u'
D1hz(pxs:pxe-1,1:pys-1,2:ke_tot)=D1;
Qc1NLU9:
D2hz(pxs:pxe-1,1:pys-1,2:ke_tot)=D2;
T1AD(r\W5
D5hz(1:ie_tot,1:pys-1,pzs+1:pze-1)=D5;
mh&wvT<:{
D6hz(1:ie_tot,1:pys-1,pzs+1:pze-1)=D6;
C$?gt-tJ'
oS3'q\
% PEC walls
__N< B5E
% C3ex(:,1,:)=-1;
?e( y/
% C3ex(:,jh_tot,:)=-1;
{2"8^;
% C4ex(:,1,:)=0;
# 4 UKkd
% C4ex(:,jh_tot,:)=0;
"IQ' (^-P
% C5ez(:,1,:)=-1;
bQd'ob jpY
% C5ez(:,jh_tot,:)=-1;
_wMx KM
% C6ez(:,1,:)=0;
T40&a(hXQ
% C6ez(:,jh_tot,:)=0;
=hD@hQ i
WjLy7&
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
APY^A6^:j
% z-varying material properties
%;S T7
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
F yleK+D?
-Uj )6PzGu
delbc=upml*delta;
CqK&J /8
sigmam=-log(rmax)*epsr*epsz*cc*(orderbc+1)/(2*delbc);
C#<b7iMg
%sigfactor=sigmam/(delta*(delbc^orderbc)*(orderbc+1));
qj|P0N {7
kmax=1;
, 5}%_
kfactor=(kmax-1)/delta/(orderbc+1)/delbc^orderbc;
,F}\njL
*-Y`7=^$
% Coefficients for field components in the center of the grid cell
ZYRZ$87jZ
#o`y<1rN
r_center = ([1:upml] - 0.25)/upml;
\ %& BK.t
for k=1:upml
L v ;% z
2OT RP4U
%z1=(upml-k+1)*delta;
rywui10x*
%z2=(upml-k)*delta;
IBfLb(I
%sigma=sigfactor*(z1^(orderbc+1)-z2^(orderbc+1));
2tPW1"M.n
%ki=1+kfactor*(z1^(orderbc+1)-z2^(orderbc+1));
i/UDda" E
sigma(k) = sigmam * r_center(k)^orderbc;
RE)! b
ki = 1;
VPOzt7:
facm=(2*epsr*epsz*ki-sigma(k)*dt);
I_h u s
facp=(2*epsr*epsz*ki+sigma(k)*dt);
aia`mO]
} )#VO-J
C7ez(:,:,upml-k+1)=facp;
8(d Hn
C7ez(:,:,ke_tot-upml+k)=facp;
Ub[SUeBGH
C8ez(:,:,upml-k+1)=facm;
V9KI?}q:W
C8ez(:,:,ke_tot-upml+k)=facm;
Vx'82CIC
D1hy(:,:,upml-k+1)=facm/facp;
: \hcl&W:
D1hy(:,:,ke_tot-upml+k)=facm/facp;
c,@&Z#IZ`
D2hy(:,:,upml-k+1)=2*epsr*epsz*dt/facp;
]k+XL*]' A
D2hy(:,:,ke_tot-upml+k)=2*epsr*epsz*dt/facp;
P;~`%,+S
D3hx(:,:,upml-k+1)=facm/facp;
%vF,wQC
D3hx(:,:,ke_tot-upml+k)=facm/facp;
8w4-Ud*$i
D4hx(:,:,upml-k+1)=1/facp/mur/muz;
\vg(@)$q
D4hx(:,:,ke_tot-upml+k)=1/facp/mur/muz;
]'IZ bx:
Oly"ll*K
end
jGm`Qg{<
Nk JOD3>U
4)Jtc2z7Z\
% Coefficients for field components on the grid cell boundary
f6/<lS oW
r_boundary = ([1:upml] - 0.75)/upml;
)ZZ juFQJ)
for k=1:upml
P" -*'q,9
%z1=(upml-k+1.5)*delta;
CG #lpAs
%z2=(upml-k+0.5)*delta;
#BPJRNXd
%sigma=sigfactor*(z1^(orderbc+1)-z2^(orderbc+1));
8M6 Xd]{%
%ki=1+kfactor*(z1^(orderbc+1)-z2^(orderbc+1));
Q[PVkZ
sigma(k) = sigmam * r_boundary(k)^orderbc;
GK6/S_l%D+
ki = 1;
1`6kc9f.
facm=(2*epsr*epsz*ki-sigma(k)*dt);
uX/K/4
facp=(2*epsr*epsz*ki+sigma(k)*dt);
-9PJ4"H
{"v~1W)
C3ey(:,:,upml-k+2)=facm/facp;
h D5NX
C3ey(:,:,ke_tot-upml+k)=facm/facp;
nR %ey"
C4ey(:,:,upml-k+2)=2*epsr*epsz/facp;
f%,Vplb
C4ey(:,:,ke_tot-upml+k)=2*epsr*epsz/facp;
Y5mQY5u|
C5ex(:,:,upml-k+2)=facm/facp;
Fh8 8DDJ
C5ex(:,:,ke_tot-upml+k)=facm/facp;
rgo#mTQ_
C6ex(:,:,upml-k+2)=1/facp;
PI G3kJ
C6ex(:,:,ke_tot-upml+k)=1/facp;
5r2A ^<)
D5hz(:,:,upml-k+2)=facp;
"mk@p=d
D5hz(:,:,ke_tot-upml+k)=facp;
) wZ;}O
D6hz(:,:,upml-k+2)=facm;
3#\++h]QZ
D6hz(:,:,ke_tot-upml+k)=facm;
DUrfC[jpv
1`sLbPW
end
\p4>onGI
Ow" e3]}Mt
-G'U\EXT
5& 2([
bm>N~DC
%zp z的正方向
5S9i>B
C7ex(pxs:pxe-1,2:je_tot,pze:ke_tot)=C7;
}H5~@c$
C8ex(pxs:pxe-1,2:je_tot,pze:ke_tot)=C8;
jm ORKX+)
C3ex(1:ie_tot,pys+1:pye-1,pze:ke_tot)=C3;
QT8GP?F
C4ex(1:ie_tot,pys+1:pye-1,pze:ke_tot)=C4;
^uiQZ%;
we("#s1=
C5ey(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=C5;
og[cwa_
C6ey(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=C6;
cMU"SO
C7ey(2:ie_tot,pys:pye-1,pze:ke_tot)=C7;
k2 _i;v
C8ey(2:ie_tot,pys:pye-1,pze:ke_tot)=C8;
1 b&<De
rtSG- _[i
C5ez(2:ie_tot,pys+1:pye-1,pze:ke_tot)=C5;
QG1+*J76b@
C6ez(2:ie_tot,pys+1:pye-1,pze:ke_tot)=C6;
a^vTBJXo
C3ez(pxs+1:pxe-1,2:je_tot,pze:ke_tot)=C3;
uqo tVil,
C4ez(pxs+1:pxe-1,2:je_tot,pze:ke_tot)=C4;
APgjT' ;P^
{<}9r6k ;f
D1hx(2:ie_tot,pys:pye-1,pze:ke_tot)=D1;
Ei HQ&u*
D2hx(2:ie_tot,pys:pye-1,pze:ke_tot)=D2;
AT6o~u!WU
D5hx(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=D5;
AONEUSxJ
D6hx(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=D6;
Q6 oM$qiM
nmo <t]
D3hy(pxs:pxe-1,2:je_tot,pze:ke_tot)=D3;
/nq\*)S#&
D4hy(pxs:pxe-1,2:je_tot,pze:ke_tot)=D4;
a Fh9B\n
D5hy(1:ie_tot,pys+1:pye-1,pze:ke_tot)=D5;
y:HH@aa)
D6hy(1:ie_tot,pys+1:pye-1,pze:ke_tot)=D6;
J#'8]p3E
1G'D'
D1hz(pxs:pxe-1,1:je_tot,pze:ke_tot)=D1;
Cg8s9qE?
D2hz(pxs:pxe-1,1:je_tot,pze:ke_tot)=D2;
s' 4O] k`
D3hz(1:ie_tot,pys:pye-1,pze:ke_tot)=D3;
OA7YWk<K
D4hz(1:ie_tot,pys:pye-1,pze:ke_tot)=D4;
W(jOD,QMB
A:$4cacu9
%zn z的负方向
\V(w=
C7ex(pxs:pxe-1,2:je_tot,2:pzs)=C7;
e IDrN%3
C8ex(pxs:pxe-1,2:je_tot,2:pzs)=C8;
jd.{J{o
C3ex(1:ie_tot,pys+1:pye-1,2:pzs)=C3;
yR3pK 0Y(?
C4ex(1:ie_tot,pys+1:pye-1,2:pzs)=C4;
:{LNr!I?I
oNEjlV*
C5ey(pxs+1:pxe-1,1:je_tot,2:pzs)=C5;
;!hwcO kX
C6ey(pxs+1:pxe-1,1:je_tot,2:pzs)=C6;
F$sDmk#
C7ey(2:ie_tot,pys:pye-1,2:pzs)=C7;
Hk8lHja+\
C8ey(2:ie_tot,pys:pye-1,2:pzs)=C8;
" "@kBY1C
?S<`*O +
C5ez(2:ie_tot,pys+1:pye-1,1:pzs-1)=C5;
<rihi:4K
C6ez(2:ie_tot,pys+1:pye-1,1:pzs-1)=C6;
A.9ZFFz
C3ez(pxs+1:pxe-1,2:je_tot,1:pzs-1)=C3;
^? V9
C4ez(pxs+1:pxe-1,2:je_tot,1:pzs-1)=C4;
0SV<Pl^
%f?Z/Wn
D1hx(2:ie_tot,pys:pye-1,1:pzs-1)=D1;
d=nv61]
D2hx(2:ie_tot,pys:pye-1,1:pzs-1)=D2;
| LX Vf
D5hx(pxs+1:pxe-1,1:je_tot,1:pzs-1)=D5;
ZX8 AB
D6hx(pxs+1:pxe-1,1:je_tot,1:pzs-1)=D6;
B"Ma<"HU
!AXt6z cZ
D3hy(pxs:pxe-1,2:je_tot,1:pzs-1)=D3;
Q 2> o+G
D4hy(pxs:pxe-1,2:je_tot,1:pzs-1)=D4;
w S7nTZfw
D5hy(1:ie_tot,pys+1:pye-1,1:pzs-1)=D5;
5La' I7q
D6hy(1:ie_tot,pys+1:pye-1,1:pzs-1)=D6;
.fgVzDR| +
r RvZG&k
D1hz(pxs:pxe-1,1:je_tot,2:pzs)=D1;
f6,?Yex8B
D2hz(pxs:pxe-1,1:je_tot,2:pzs)=D2;
4{QD: D(D
D3hz(1:ie_tot,pys:pye-1,2:pzs)=D3;
L`"j> ),
D4hz(1:ie_tot,pys:pye-1,2:pzs)=D4;
[.Rdq]w6
p:NIRs
$L4h'(s
h-<Qj,L{W
`N}aV Ns
% PEC walls
\ z3>kvk
% C3ey(:,:,1)=-1;
h'nXV{N0
% C3ey(:,:,kh_tot)=-1;
^)E# c
% C4ey(:,:,1)=0;
L,O.XR
% C4ey(:,:,kh_tot)=0;
&J\<"3
% C5ex(:,:,1)=-1;
JKz]fgOd$
% C5ex(:,:,kh_tot)=-1;
X \BxRgl},
% C6ex(:,:,1)=0;
O?` _RN4l
% C6ex(:,:,kh_tot)=0;
% M*2 j%6
:w<Ga8\tZ
%figure
2EH0d6nt
%set(gcf,'DoubleBuffer','on')
9vckQCLM
ES)@iM ?5
%***********************************************************************
Z8ds`KZM
% Begin time stepping loop
N(l
%***********************************************************************
#9glGPR(
der\"?_.
for n=1:nmax
`aDVN_h{6
`F$lO2 #k
% Update magnetic field
hLr\;Swyp
bstore=bx;
onU\[VvM
bx(2:ie_tot,:,:)=D1hx(2:ie_tot,:,:).* bx(2:ie_tot,:,:)-...
vD^Uod1
D2hx(2:ie_tot,:,:).*((ez(2:ie_tot,2:jh_tot,:)-ez(2:ie_tot,1:je_tot,:))-...
Aw] kQ\P&
(ey(2:ie_tot,:,2:kh_tot)-ey(2:ie_tot,:,1:ke_tot)))./delta;
P~*'/!@
hx(2:ie_tot,:,:)= D3hx(2:ie_tot,:,:).*hx(2:ie_tot,:,:)+...
Y s0N+
D4hx(2:ie_tot,:,:).*(D5hx(2:ie_tot,:,:).*bx(2:ie_tot,:,:)-...
b ~*CJ8Ad
D6hx(2:ie_tot,:,:).*bstore(2:ie_tot,:,:));
@R_ON"h
bstore=by;
| Rj"}SC
by(:,2:je_tot,:)=D1hy(:,2:je_tot,:).* by(:,2:je_tot,:)-...
FN/siw(?3
D2hy(:,2:je_tot,:).*((ex(:,2:je_tot,2:kh_tot)-ex(:,2:je_tot,1:ke_tot))-...
hCb2<_3CR
(ez(2:ih_tot,2:je_tot,:)-ez(1:ie_tot,2:je_tot,:)))./delta;
gW- mXb
hy(:,2:je_tot,:)= D3hy(:,2:je_tot,:).*hy(:,2:je_tot,:)+...
0V ZC7@
D4hy(:,2:je_tot,:).*(D5hy(:,2:je_tot,:).*by(:,2:je_tot,:)-...
!C@+CZXLx
D6hy(:,2:je_tot,:).*bstore(:,2:je_tot,:));
F!<!)_8Q
bstore=bz;
]1 jhy2j
bz(:,:,2:ke_tot)=D1hz(:,:,2:ke_tot).* bz(:,:,2:ke_tot)-...
fe Jl[3@tO
D2hz(:,:,2:ke_tot).*((ey(2:ih_tot,:,2:ke_tot)-ey(1:ie_tot,:,2:ke_tot))-...
| va^l T
(ex(:,2:jh_tot,2:ke_tot)-ex(:,1:je_tot,2:ke_tot)))./delta;
u]OYu
hz(:,:,2:ke_tot)= D3hz(:,:,2:ke_tot).*hz(:,:,2:ke_tot)+...
q#O 8Fv
D4hz(:,:,2:ke_tot).*(D5hz(:,:,2:ke_tot).*bz(:,:,2:ke_tot)-...
8shx7"
D6hz(:,:,2:ke_tot).*bstore(:,:,2:ke_tot));
fZp 3 g%u
+1]A$|qyW
% PEC on the PML outer boundary
UP7?9\
j }O7fLRu
% tangential ex=0 on front-back plane
(]` rri*^
ex(:,1,:)=0.0;
{TZV^gT4
ex(:,jh_tot,:)=0.0;
d2?#&d'aq
f@ILC=c<
% tangential ex=0 on down-up plane
NRT@"3,1YP
ex(:,:,1)=0.0;
FeNNzV=
ex(:,:,kh_tot)=0.0;
>qVSepK3
A">R-1R
"r~/E|Da<
% tangential ey=0 on left-right plane
>9NC2%61S
ey(1,:,:)=0.0;
_fccZf(yC.
ey(ih_tot,:,:)=0.0;
P Ij
-wr_x<7
\hWac%#
% tangential ey=0 on down-up plane
iS< ^MD
ey(:,:,1)=0.0;
c,:nWf
ey(:,:,kh_tot)=0.0;
"Hk7 s+%
#||D,[ _=+
/ E!N:g<
% tangential ez=0 on left-right plane
J |w%n5Y
ez(1,:,:)=0.0;
J@O K"%12
ez(ih_tot,:,:)=0.0;
g2? yT ?
[$c"}=g[+
p<<dj %
% tangential ez=0 on front-back plane
fDRG+/q(+
ez(:,1,:)=0.0;
nkzH}F=<
ez(:,jh_tot,:)=0.0;
]=p^ 32
Q ZC\%X8j
% Update electric field
";;!c. !^
Ciy%7_~\
p1store=px1;
X}wo$t
px1(:,2:je_tot,2:ke_tot)=C1ex(:,2:je_tot,2:ke_tot).* px1(:,2:je_tot,2:ke_tot)+...
* ,zrg%8
C2ex(:,2:je_tot,2:ke_tot).*((hz(:,2:je_tot,2:ke_tot)-hz(:,1:je_tot-1,2:ke_tot))-...
!X9^ L^v}
( hy(:,2:je_tot,2:ke_tot)-hy(:,2:je_tot,1:ke_tot-1)))./delta;
S0tkqA4
p2store=px2;
<U c
px2(:,2:je_tot,2:ke_tot)=C3ex(:,2:je_tot,2:ke_tot).* px2(:,2:je_tot,2:ke_tot)+...
m8V}E& 6
C4ex(:,2:je_tot,2:ke_tot).*( px1(:,2:je_tot,2:ke_tot)-...
T!I3.
p1store(:,2:je_tot,2:ke_tot));
sD Y+J(Z
V%B~ q`4
ex(:,2:je_tot,2:ke_tot)=C5ex(:,2:je_tot,2:ke_tot).* ex(:,2:je_tot,2:ke_tot)+...
$Ai zKiV
C6ex(:,2:je_tot,2:ke_tot).*(C7ex(:,2:je_tot,2:ke_tot).* px2(:,2:je_tot,2:ke_tot)-...
g;Zy 3
C8ex(:,2:je_tot,2:ke_tot).*p2store(:,2:je_tot,2:ke_tot));
gT(8.<h8
tAPf#7{|
p1store=py1;
"|Kag|(qB
py1(2:ie_tot,:,2:ke_tot)=C1ey(2:ie_tot,:,2:ke_tot).* py1(2:ie_tot,:,2:ke_tot)+...
yp[,WZt
C2ey(2:ie_tot,:,2:ke_tot).*((hx(2:ie_tot,:,2:ke_tot)-hx(2:ie_tot,:,1:ke_tot-1))-...
<kk!ns I
( hz(2:ie_tot,:,2:ke_tot)-hz(1:ie_tot-1,:,2:ke_tot)))./delta;
+`iJ+
p2store=py2;
pfs]pDjS :
py2(2:ie_tot,:,2:ke_tot)=C3ey(2:ie_tot,:,2:ke_tot).* py2(2:ie_tot,:,2:ke_tot)+...
FKPR;H8>
C4ey(2:ie_tot,:,2:ke_tot).*( py1(2:ie_tot,:,2:ke_tot)-...
BT`g'# O
p1store(2:ie_tot,:,2:ke_tot));
' &3, qT
<'QI_mP*
ey(2:ie_tot,:,2:ke_tot)=C5ey(2:ie_tot,:,2:ke_tot).* ey(2:ie_tot,:,2:ke_tot)+...
~6K.5t7
C6ey(2:ie_tot,:,2:ke_tot).*(C7ey(2:ie_tot,:,2:ke_tot).* py2(2:ie_tot,:,2:ke_tot)-...
6 FN#X g
C8ey(2:ie_tot,:,2:ke_tot).*p2store(2:ie_tot,:,2:ke_tot));
~uV(/?o%
Sx8C<S5r<
p1store=pz1;
^X?uAX-RP|
pz1(2:ie_tot,2:je_tot,:)=C1ez(2:ie_tot,2:je_tot,:).* pz1(2:ie_tot,2:je_tot,:)+...
:5F (,Z_
C2ez(2:ie_tot,2:je_tot,:).*((hy(2:ie_tot,2:je_tot,:)-hy(1:ie_tot-1,2:je_tot,:))-...
* F_KOf9p
( hx(2:ie_tot,2:je_tot,:)-hx(2:ie_tot,1:je_tot-1,:)))./delta;
=ym<yI<
p2store=pz2;
>=:^N- a
pz2(2:ie_tot,2:je_tot,:)=C3ez(2:ie_tot,2:je_tot,:).* pz2(2:ie_tot,2:je_tot,:)+...
/= T:W*C
C4ez(2:ie_tot,2:je_tot,:).*( pz1(2:ie_tot,2:je_tot,:)-...
U^eos;:s8
p1store(2:ie_tot,2:je_tot,:));
}KO <II
NwxDxIIH/)
pz2(is,js,ks:ks+1)=pz2(is,js,ks:ks+1)+exp(-((n-4.5*tau/dt)^2/(tau/dt)^2));
[$F*R@,&
%E" v@
ez(2:ie_tot,2:je_tot,:)=C5ez(2:ie_tot,2:je_tot,:).* ez(2:ie_tot,2:je_tot,:)+...
@t;726
C6ez(2:ie_tot,2:je_tot,:).*(C7ez(2:ie_tot,2:je_tot,:).* pz2(2:ie_tot,2:je_tot,:)-...
h?H|)a<^9
C8ez(2:ie_tot,2:je_tot,:).*p2store(2:ie_tot,2:je_tot,:));
&F:.O VzX
$ U7#3-'
LJom+PxF$x
% pz2(is,js,ks:ks+1)=pz2(is,js,ks:ks+1)+(sin(pi*(n-ndelay)/(tau-ndelay)))^2;
*U}ztH-+/
% pz2(is,js,ks:ks+1)=pz2(is,js,ks:ks+1)+J0*(n-ndelay)*exp(-((n-ndelay)^2/tau^2));
! >V)x
z4~p(tl
% pz2(is,js,ks:ks+1)=J0*(n-ndelay)*exp(-((n-ndelay)^2/tau^2));
Abi(1nXdQ
% pz2(is,js,ks:ks+1)=pz2(is,js,ks:ks+1)+sin(2*pi*freq*n);
4U16'd
$}'(%\7"
n;
/\;m/cwrl"
%ex(15,15,15)
'F#dv[N
%***********************************************************************
V/: 2x T
% Visualize fields
1{wbC)
%***********************************************************************
X7[gfKGL)N
smooth(ex(:,15,15));
xQ2: tY#?
surfl(ex(:,:,15));
1*|/N}g)
colorbar;
2[;~@n1 P
pause(0.1);
eco&!R[G
disp('ex()=');
k]^ya?O]p
disp(ex(15,15,15));
oh@Ha ?
AA(n)=ex(15,15,15);
!Qf*d;wxn(
=6+99<G|%M
% timestep=int2str(n);
c-v-U O%
% tview(:,:)=squeeze(ez(ih_bc:upml+ie,jh_bc:upml+je,ks));
Ni%@b U $
% sview(:,:)=squeeze(ez(ih_bc:upml+ie,js,kh_bc:upml+ke));
( $>m]|
%
T--%UZD]W
% subplot('position',[0.15 0.57 0.7 0.35])
i]s%tEZ1
% imagesc(tview');
?;H}5>^8P
% caxis([-0.2 0.2]);
rL&Mq}7QK
% colorbar;
=LODX29
% axis image; axis xy;
`23][V
% title(['E_z(i,j,k=k_s_o_u_r_c_e), time step = ',timestep]);
L|}s Z\2!
% xlabel('i coordinate');
m=+x9gL2
% ylabel('j coordinate');
l^$'6q"
%
ky-nP8 L}
% subplot('position',[0.15 0.08 0.7 0.35])
? |#dGk g
% imagesc(sview');
@OGG]0 J
% caxis([-0.2 0.2]);
Iib YG F
% colorbar;
1D3 8T
% axis image; axis xy;
0\vG <
% title(['E_z(i,j=j_s_o_u_r_c_e,k), time step = ',timestep]);
n I &p.i6
% xlabel('i coordinate');
Nd+1r|e'
% ylabel('k coordinate');
]31=8+D
%
Yufj y=!
% pause(0.05)
QQ_7Q^
aL`wz !
=*I|z+
e(xuy'4r
end
rmo\UCD
T=(1:1:nmax);
jr_z ?
figure(2);
~**x_ v
plot(T,AA);
3!o sQ1
xlabel('Timestep');
R&BWCC{
ylabel('ex');
}r! +wp
_Gf-s51s
clear
M0~%[nX
W &:0J
%***********************************************************************
&oq 0XV.M^
% Fundamental constants
N_S~&(I|
%***********************************************************************
q 5L^>"
dq`{fqGl
cc=2.99792458e8;
lixM 0
muz=4.0*pi*1.0e-7;
h6OQeZ.
epsz=1.0/(cc*cc*muz);
xb<|m2<)H
etaz=sqrt(muz/epsz);
P tLWFO
sigma_e=0.0; %主区域的电导率（不是upml中那个电导率）
l)dE7$H
c{_JPy
%***********************************************************************
_ilitwRN3
% Material parameters
ajtH 1Z #
%***********************************************************************
HZZZ [km
Je6wio- 4
mur=1.0;
eU@Mv5&6
epsr=80;
=4co$oD}
freq=20000;
# {{p4/:
eta=etaz*sqrt(mur/epsr); %
Z/:F)c,x
3l 45(%g+
c=1/sqrt(epsr*epsz*muz*mur);
aK95&Jyw&
%***********************************************************************
11YJ W-V
% Grid parameters
Eu: /U*j
%
vq^';<Wh.
% Each grid size variable name describes the number of sampled points
-egnMc67
% for a particular field component in the direction of that component.
rhy-o?
% Additionally, the variable names indicate the region of the grid
<+-n lK4
% for which the dimension is relevant. For example, ie_tot is the
QnD8L.Dg
% number of sample points of Ex along the x-axis in the total
5h`L W A B
% computational grid, and jh_bc is the number of sample points of Hy
ZQ+DAX*MS
% along the y-axis in the y-normal UPML regions.
-{k8^o7$
%
l EzN
%***********************************************************************
d1/9 A-{
E:ci/09wD
9#@s(s
%是一个三维立方体空间，60*60*60（已经包括了厚度为10的upml层）
VXWV Pj#
RJzIzv99m
{_\cd.AuT
ie=40; % Size of main grid
Z\EA!Cs3
je=40;
H$C*&p
ke=40;
;nP (S`'
ih=ie+1;
0VSIyG_Z
jh=je+1;
~F@n `!c
kh=ke+1;
o2U5irU
`G/g/>y
upml=10; % Thickness of PML boundaries
yDKH;o
ih_bc=upml+1;
& ]] l0B
jh_bc=upml+1;
WV.hQX9P
kh_bc=upml+1;
u*;H$&
b<~-s sL7a
ie_tot=ie+2*upml; % Size of total computational domain
} O $]xB
je_tot=je+2*upml;
U| x Hy+N
ke_tot=ke+2*upml;
)!\6 " {
ih_tot=ie_tot+1;
jhQoBC>:
jh_tot=je_tot+1;
=>`z k^
kh_tot=ke_tot+1;
GRbbU#/=G
"q+Z*
pxs = 11;
]6[+tpx
pys = 11;
qb fX(`nS
pzs = 11;
`Ucj_6&Tqs
RuIBOo\XL7
pxe = 51;
_^#eO`4"
pye = 51;
uJ -$i
pze = 51;
;Vat\,45pg
VGD~) z57
is=round(ih_tot/2); % Location of z-directed current source
)Yy5u'}
js=round(jh_tot/2);
1xd 6p
ks=round(ke_tot/2);
S-q"'5>
6>rz=yAM_
%***********************************************************************
un_NBv}
% Fundamental grid parameters
Ca5#'3Eh
%***********************************************************************
xZ P SUEG
<tF q^qB
delta= 83.794539403718844;
(,#m +
dt=0.9./sqrt(3.0./delta./delta)./c;
L r"cO|F
%dt=delta*sqrt(epsr*mur)/(2.0*cc);
x@Z{5w_a
%dt=delta*0.5/c;
qe{;EH*
nmax=200;
g^(gT
k}H7bZ ug
%***********************************************************************
7<!x:G?C
% Differentiated Gaussian pulse excitation
#eOHe4Vt
%***********************************************************************
qi7 C.w;
X+N5iT
rtau=50.0e-12;
T=tW'tlT\v
%tau=rtau/dt;
IRx% L?
tau = 20*delta/2/c;
<I34@;R c
ndelay=3*tau;
o cW~I3
J0=-1.0*epsz;
*)-@'{]u B
FEu"b@v
%***********************************************************************
,o%by5j"^N
% Initialize field arrays
QrK%DN
%***********************************************************************
l3>e-kP
}bca-|N
ex =zeros(ie_tot,jh_tot,kh_tot);
>fI\f <ez
px1=zeros(ie_tot,jh_tot,kh_tot);
aYT !xdCI
px2=zeros(ie_tot,jh_tot,kh_tot);
`x/i1^/_@
UTKyPCfj
ey= zeros(ih_tot,je_tot,kh_tot);
U|tacO5w`
py1=zeros(ih_tot,je_tot,kh_tot);
;Y;r%DJ
py2=zeros(ih_tot,je_tot,kh_tot);
4tLdqs
V&:x+swt
ez= zeros(ih_tot,jh_tot,ke_tot);
03v+eT
pz1=zeros(ih_tot,jh_tot,ke_tot);
6[k< &;
pz2=zeros(ih_tot,jh_tot,ke_tot);
tm.60udbo
{{Ox %Zm
hx=zeros(ih_tot,je_tot,ke_tot);
9 ;p5z[jI
hy=zeros(ie_tot,jh_tot,ke_tot);
(~N?kh:
hz=zeros(ie_tot,je_tot,kh_tot);
n4S`k %CI
bx=zeros(ih_tot,je_tot,ke_tot);
LxhS 9
by=zeros(ie_tot,jh_tot,ke_tot);
.Ji9j[[#D
bz=zeros(ie_tot,je_tot,kh_tot);
AZc= Bbh
tt?`,G.(]
%***********************************************************************
Gk I '.
% Initialize update coefficient arrays
zhs @ YMY
%***********************************************************************
1bQO:n):~
% 系数矩阵
b.RU%Y#>\
C1ex=zeros(size(ex));
|YROxY"ML
C2ex=zeros(size(ex));
?[zw5fUDS
C3ex=zeros(size(ex));
c.Hw K\IU
C4ex=zeros(size(ex));
?8H{AuLB
C5ex=zeros(size(ex));
9)W3\I>U-
C6ex=zeros(size(ex));
dv\bkDF4A
C7ex=zeros(size(ex));
TU^ZvAO&
C8ex=zeros(size(ex));
hQ<7k' V
,zM@)Q ;9
C1ey=zeros(size(ey));
rIcgf1v70
C2ey=zeros(size(ey));
81:%Z&?vRl
C3ey=zeros(size(ey));
?SFQx \/
C4ey=zeros(size(ey));
A)"L+Yu 5
C5ey=zeros(size(ey));
Gm:s;w-;v
C6ey=zeros(size(ey));
}W} ( k2r
C7ey=zeros(size(ey));
.(q'7Q Z/
C8ey=zeros(size(ey));
z~vcwiYAP
3pv qF,"~D
C1ez=zeros(size(ez));
SkmTW@v
C2ez=zeros(size(ez));
d-1D:Hs?
C3ez=zeros(size(ez));
s2SV
C4ez=zeros(size(ez));
]dNNw `1\V
C5ez=zeros(size(ez));
&Jj|+P-lY
C6ez=zeros(size(ez));
ptT-{vG
C7ez=zeros(size(ez));
!;|#=A9
C8ez=zeros(size(ez));
U[x$QG6 m!
["Ts7;q9[
D1hx=zeros(size(hx));
.cJoNl'q
D2hx=zeros(size(hx));
we` BqZV
D3hx=zeros(size(hx));
tW|0_m>{
D4hx=zeros(size(hx));
ljZRz$y
D5hx=zeros(size(hx));
E7 iAN\vo
D6hx=zeros(size(hx));
;hDk gp
9&f+ I@K
D1hy=zeros(size(hy));
9n\>Yieu
D2hy=zeros(size(hy));
U&B Cd$
D3hy=zeros(size(hy));
Jk(V ]
D4hy=zeros(size(hy));
\f^xlX3&`
D5hy=zeros(size(hy));
r _$*euh@
D6hy=zeros(size(hy));
T ph^o^
AH&RabH2
D1hz=zeros(size(hz));
GD.Ss9_h1
D2hz=zeros(size(hz));
y @~ VE5N
D3hz=zeros(size(hz));
"NA<^2W @J
D4hz=zeros(size(hz));
qA!p7"m|
D5hz=zeros(size(hz));
%Hd[,duwO
D6hz=zeros(size(hz));
stajTN*J
^@* `vz^_
%***********************************************************************
*w4#D:g
% Update coefficients, as described in Section 7.8.2.
2 kVZlt'y
%
E Ou[X'gLr
% In order to simplify the update equations used in the time-stepping
9zqo!&
% loop, we implement UPML update equations throughout the entire
,M{G X
% grid. In the main grid, the electric-field update coefficients of
i;9X_?QF
% Equations 7.91a-f and the correponding magnetic field update
<`pNdy4
% coefficients extracted from Equations 7.89 and 7.90 are simplified
3S+9LOrhY
% for the main grid (free space) and calculated below.
p% mHxYP
%
yZNG>1 N
%***********************************************************************
l%_K$$C
5Z_C (5)/Y
%以下是主区域的迭代系数，即非pml参数时的系数
bKsjbY uo
C1=(2*epsz*epsr-sigma_e*dt)/(2*epsz*epsr+sigma_e*dt);
k5aB|xo
C2=2*dt/(2*epsz*epsr+sigma_e*dt);
E5rV}>(Y
C3=1.0;
\h=*pAf
C4=1.0;
6 ScB:8M
C5=1.0;
GB Yy^wjU
C6=1/2/epsz/epsr;
ph5{i2U0
C7=2*epsz*epsr;
N`efLOMl]
C8=2*epsz*epsr;
41Q 5%2
$L0sBW&
D1=1.0;
*1["x;A
D2=dt;
8 k-]u3
D3=1.0;
"LB MYZ
D4=1.0/2.0/epsr/epsz/mur/muz;
pt.V^a
D5=2.0*epsr*epsz;
:5& D 6
D6=2.0*epsr*epsz;
Rmmu#-{Y
e,}h^^"
%***********************************************************************
Wx]Xa]-
% Initialize main grid update coefficients
*` "+J_
%***********************************************************************
RVm-0[m}
% 给主计算区域系数赋值。
7!cLTq
C1ex(:,:,:)=C1;
3A`]Rk
C2ex(:,:,:)=C2;
W=^.s> 7G
C3ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C3;
/J-'[Mc'D[
C4ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C4;
9qCE{ [(
C5ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C5;
E} XmZxHV
C6ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C6;
rz_W]/G-P
C7ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C7;
u@e.5_:S)
C8ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C8;
7\%JJw6h
\:{K" ,2
C1ey(:,:,:)=C1;
Wj,s /Yr:
C2ey(:,:,:)=C2;
8Y`g$2SZ^8
C3ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C3;
+U<YM 94?
C4ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C4;
axUj 3J >
C5ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C5;
,V!"4 T,Z
C6ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C6;
~) _ Nh
C7ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C7;
G-)e(u
C8ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C8;
^wBlQmW7J
7OmT^jV2
C1ez(:,:,:)=C1;
o B5\^V$
C2ez(:,:,:)=C2;
;dUKFdKH}
C3ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C3;
[(x<2MTj
C4ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C4;
082iE G
C5ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C5;
cX C [O
C6ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C6;
_N|%i J5
C7ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C7;
WlQCP C
C8ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C8;
hJ ^+asr
b]z_2h~`
D1hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D1;
Z qn$ >mG-
D2hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D2;
6 :|;O
D3hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D3;
F\ +AA
D4hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D4;
/5Qh*. (S
D5hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D5;
&P9fM-]b s
D6hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D6;
!gW`xVGv
\;N+PE
D1hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D1;
\ 54B
D2hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D2;
%dPk ,Ylz
D3hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D3;
Jfr'OD2$ %
D4hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D4;
%Ve@DF8G
D5hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D5;
F hUi{`
D6hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D6;
})^eaLBR4
`.pEI q^
D1hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D1;
{H[N|\
D2hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D2;
}UsH#!9.
D3hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D3;
fB9,# F
D4hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D4;
_1E c54D
D5hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D5;
R q@|o5O
D6hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D6;
6vbKKn`ST
w;ZT-Fti
rmax=exp(-16); % R(0) desired reflection error, designated as R(0) in Equation 7.62
^ 3 4Ng
BH {z]a
orderbc=4; % m order of the polynomial grading, designated as m in Equation 7.60a,b
EF:ec9 .
~xxq.rL"
%以下是给pml层的系数赋值，我完全是用的talflove书上的公式，没有用原来代码中的公式
9dA+#;?
% x-varying material properties
B,%6sa~I
delbc=upml*delta; % d
dQ{qA(m
sigmam=-log(rmax)*(orderbc+1.0)/(2.0*eta*delbc);
6 agG*x
%sigfactor=sigmam/(delta*(delbc^orderbc)*(orderbc+1.0));
\u`P(fI!K%
kmax=1;
,e'm@d$Q*
kfactor=(kmax-1.0)/delta/(orderbc+1.0)/delbc^orderbc;
$,by!w'e:l
~*1>)P8]#
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
x K_UkB-$i
% xp xn
G3TS?u8Q
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
^/E'Rf3[A
2o<*rH
% Coefficients for field components in the center of the grid cell
95#]6*#[4!
b>p_w%d[[J
% x1=(upml-i+1)*delta;x1;
&T, ,fz$
% x2=(upml-i)*delta;x2;
HI|egf@
r_center = ([1:upml] - 0.25)/upml;
| CFG<]
N }U+K
%按照场分量在网格中的位置，我每一个方向有两个循环，分别对应分量在网格中间和在网格边上
DDR4h"Y
3>VL>;75[
for i=1:upml
.TA)|df ^
%sigma=sigfactor*(x1^(orderbc+1)-x2^(orderbc+1));
m uO.
%ki=1+kfactor*(x1^(orderbc+1)-x2^(orderbc+1));
sG#O s
sigma(i) = sigmam * r_center(i)^orderbc;
]2f-oz*hU
ki = 1;
A)9]^@,
facm=(2*epsr*epsz*ki-sigma(i)*dt);
ZPw4S2yw3.
facp=(2*epsr*epsz*ki+sigma(i)*dt);
Mu` _^gG
%ie_tot-upml+i;
z8a{M$-Q
%upml-i+1;
@>46.V{P}B
m-uXQS^@ G
C7ex(upml-i+1,:,:)=facp;
p3 5)K5V
C7ex(ie_tot-upml+i,:,:)=facp;
+I5\ `By=
C8ex(upml-i+1,:,:)=facm;
qc,E azmU
C8ex(ie_tot-upml+i,:,:)=facm;
MV$E_@pg
D1hz(upml-i+1,:,:)=facm/facp;
agwbjkU/
D1hz(ie_tot-upml+i,:,:)=facm/facp;
l[[`-f8j
D2hz(upml-i+1,:,:)=2.0*epsr*epsz*dt/facp;
H.l0kBeG
D2hz(ie_tot-upml+i,:,:)=2.0*epsr*epsz*dt/facp;
wT! ?.Y)aj
D3hy(upml-i+1,:,:)=facm/facp;
k u m@cA
D3hy(ie_tot-upml+i,:,:)=facm/facp;
E va&/o?P|
D4hy(upml-i+1,:,:)=1.0/facp/mur/muz;
&_ Cc
D4hy(ie_tot-upml+i,:,:)=1.0/facp/mur/muz;
Xk|a%%O*H
s3A(`heoq
end
rR@]`@9
I>.pkf<V
% Coefficients for field components on the grid cell boundary
p]S'pzh
Ao ?b1VYy/
r_boundary = ([1:upml] - 0.75)/upml;
@ xo8"kl
YM;ro5_KF
)w jp xr
for i=1:upml
=K s&m4
% x1=(upml-i+1.5)*delta;
16Ka>=G
% x2=(upml-i+0.5)*delta;
A nl1+
% sigma=sigfactor*(x1^(orderbc+1)-x2^(orderbc+1));
d4IQ;u
% ki=1.0+kfactor*(x1^(orderbc+1)-x2^(orderbc+1));
HqV55o5f'
sigma(i) = sigmam * r_boundary(i)^orderbc;
zu?112-v2
ki = 1;
-'miM ~kG[
facm=(2.0*epsr*epsz*ki-sigma(i)*dt);
}\<=B%{
facp=(2.0*epsr*epsz*ki+sigma(i)*dt);
A 94:(z;{
`TO Xkt j
C3ez(upml-i+2,:,:)=facm/facp;
<$?#P#A
C3ez(ie_tot-upml+i,:,:)=facm/facp;
cu}(\a
C4ez(upml-i+2,:,:)=2*epsr*epsz/facp;
:a&M]+!
C4ez(ie_tot-upml+i,:,:)=2*epsr*epsz/facp;
ek5j;%~g1
C5ey(upml-i+2,:,:)=facm/facp;
*bp N!2
C5ey(ie_tot-upml+i,:,:)=facm/facp;
I_f%%N%
C6ey(upml-i+2,:,:)=1.0/facp;
_Ml?cT/J.O
C6ey(ie_tot-upml+i,:,:)=1.0/facp;
' u<I S/w
D5hx(upml-i+2,:,:)=facp;
<#BK( W~$
D5hx(ie_tot-upml+i,:,:)=facp;
I \ 1E=6"
D6hx(upml-i+2,:,:)=facm;
*%jXjTA0D
D6hx(ie_tot-upml+i,:,:)=facm;
BDfMFH[1
&J/!D#
end
.a2R2~35
]~ N.
% 以下可能大家看了有点迷惑，是在xp(x的正方向的pml层）中除了和sigmax有关的系数之外，
3"Oipt+
% 其他不含sigmax的系数赋值。
r+%3Y:dZE
%xp
GtmoFSZ
C3ex(pxe:ie_tot,pys+1:pye-1,2:ke_tot)=C3;
Pn4 .gabE
C4ex(pxe:ie_tot,pys+1:pye-1,2:ke_tot)=C4;
}*!L~B !
C5ex(pxe:ie_tot,2:je_tot,pzs+1:pze-1)=C5;
L>/$l(
C6ex(pxe:ie_tot,2:je_tot,pzs+1:pze-1)=C6;
KF *F
/[Fk>Vhp
C3ey(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=C3;
r|}P g}O
C4ey(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=C4;
8 HLL3H0
C7ey(pxe:ie_tot,pys:pye-1,2:ke_tot)=C7;
qdk!.A{
C8ey(pxe:ie_tot,pys:pye-1,2:ke_tot)=C8;
Ma?uB8o+~
("=q-6$G
C5ez(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=C5;
0c"9C_7^g
C6ez(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=C6;
f 1SKOq
C7ez(pxe:ie_tot,2:je_tot,pzs:pze-1)=C7;
O2 Y|<m
C8ez(pxe:ie_tot,2:je_tot,pzs:pze-1)=C8;
^~l@ _r
oNXYBeu+
D1hx(pxe:ie_tot,pys:pye-1,1:ke_tot)=D1;
Iw[zN[oz
D2hx(pxe:ie_tot,pys:pye-1,1:ke_tot)=D2;
'g<{l&u
D3hx(pxe:ie_tot,1:je_tot,pzs:pze-1)=D3;
[r 7Hcb
D4hx(pxe:ie_tot,1:je_tot,pzs:pze-1)=D4;
.6[8$8c
$Xo_8SX,
D1hy(pxe:ie_tot,2:je_tot,pzs:pze-1)=D1;
R $<{"b
D2hy(pxe:ie_tot,2:je_tot,pzs:pze-1)=D2;
kPy7e~
D5hy(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=D5;
Jityb}Z "
D6hy(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=D6;
A iR# :r
(&*Bl\YoX
D3hz(pxe:ie_tot,pys:pye-1,2:ke_tot)=D3;
W="pu5q$5
D4hz(pxe:ie_tot,pys:pye-1,2:ke_tot)=D4;
h-(NWxK+
D5hz(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=D5;
iDDq<a.A
D6hz(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=D6;
> Q=e 9L=
)2E vZn
% 以下可能大家看了有点迷惑，是在xn(x的负方向的pml层）中除了和sigmax有关的系数之外，
nO 6 UlY
% 其他不含sigmax的系数赋值。
ozS' n]8*
%xn
}L Q%%
C3ex(1:pxs-1,pys+1:pye-1,2:ke_tot)=C3;
T@vE@D
C4ex(1:pxs-1,pys+1:pye-1,2:ke_tot)=C4;
A1B[5a*o!
C5ex(1:pxs-1,2:je_tot,pzs+1:pze-1)=C5;
L=#B >Eu
C6ex(1:pxs-1,2:je_tot,pzs+1:pze-1)=C6;
FB ?V<x
[%LGiCU ]
C3ey(2:pxs,1:je_tot,pzs+1:pze-1)=C3;
&0* l:uw
C4ey(2:pxs,1:je_tot,pzs+1:pze-1)=C4;
M1P;x._n
C7ey(2:pxs,pys:pye-1,2:ke_tot)=C7;
PQ!'<
C8ey(2:pxs,pys:pye-1,2:ke_tot)=C8;
NlhC7
P)y2'JKL
C5ez(2:pxs,pys+1:pye-1,1:ke_tot)=C5;
lu>G=u CJ
C6ez(2:pxs,pys+1:pye-1,1:ke_tot)=C6;
&/' O?HWl
C7ez(2:pxs,2:je_tot,pzs:pze-1)=C7;
bp8sZK "z
C8ez(2:pxs,2:je_tot,pzs:pze-1)=C8;
(oiQ5s^f
o}waJN`yI
D1hx(2:pxs,pys:pye-1,1:ke_tot)=D1;
0*P -/)o x
D2hx(2:pxs,pys:pye-1,1:ke_tot)=D2;
5![ ILa_
D3hx(2:pxs,1:je_tot,pzs:pze-1)=D3;
K;THYMp/[
D4hx(2:pxs,1:je_tot,pzs:pze-1)=D4;
se3EI1e
Ro$*bN6p
D1hy(1:pxs-1,2:je_tot,pzs:pze-1)=D1;
pT+O POSR
D2hy(1:pxs-1,2:je_tot,pzs:pze-1)=D2;
BHz_1+d
D5hy(1:pxs-1,pys+1:pye-1,1:ke_tot)=D5;
ZiKO|U@/
D6hy(1:pxs-1,pys+1:pye-1,1:ke_tot)=D6;
lgt&kdc%o
C4X3;l Z%S
D3hz(1:pxs-1,pys:pye-1,2:ke_tot)=D3;
H]V(qq{
D4hz(1:pxs-1,pys:pye-1,2:ke_tot)=D4;
A ][ ;v
D5hz(1:pxs-1,1:je_tot,pzs+1:pze-1)=D5;
LmsPS.It
D6hz(1:pxs-1,1:je_tot,pzs+1:pze-1)=D6;
Pt-mLINvG
p {qA%D
% PEC walls
(F;*@Z*R
% C3ez(1,:,:)=-1.0;
@CR<&^s5V
% C3ez(ih_tot,:,:)=-1.0;
h3>u[c X%
% C4ez(1,:,:)=0.0;
CPsl/.$tC
% C4ez(ih_tot,:,:)=0.0;
,?K5/3ss
% C5ey(1,:,:)=-1.0;
[xfg6
% C5ey(ih_tot,:,:)=-1.0;
Nm pNme
% C6ey(1,:,:)=0.0;
nRq[il0 `i
% C6ey(ih_tot,:,:)=0.0;
l8Yr]oNkz
b -`P-
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
o|84yT!~
% y-varying material properties
H,;ZFg /v8
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
]EN&EA"<
delbc=upml*delta;
# Sy~t{4
sigmam=-log(rmax)*epsr*epsz*cc*(orderbc+1.0)/(2.0*delbc);
GdScYAC
% sigfactor=sigmam/(delta*(delbc^orderbc)*(orderbc+1.0));
JeVbFZ8
kmax=1.0;
^|U5@u_
kfactor=(kmax-1.0)/delta/(orderbc+1.0)/delbc^orderbc;
"{S4YA
!f!Y MpN
% Coefficients for field components in the center of the grid cell
" E5=AW d
r_center = ([1:upml] - 0.25)/upml;
hn6 '$P
~nj+ " d]
for j=1:upml
N-}OmcO]e
Eos;7$u[
iH>JR[A
% y1=(upml-j+1)*delta;
rmX5-k
% y2=(upml-j)*delta;
.d#Hh&jj
% sigma=sigfactor*(y1^(orderbc+1)-y2^(orderbc+1));
=RWY0| f
% ki=1+kfactor*(y1^(orderbc+1)-y2^(orderbc+1));
pR* 3Q@Ng
sigma(j) = sigmam * r_center(j)^orderbc;
9l&G2 o
ki = 1;
#"C* dNAB
facm=(2*epsr*epsz*ki-sigma(j)*dt);
Q.8^F
facp=(2*epsr*epsz*ki+sigma(j)*dt);
m T j
_Co v >6_i
C7ey(:,upml-j+1,:)=facp;
{9@E[bWp#
C7ey(:,je_tot-upml+j,:)=facp;
1G(wESe
C8ey(:,upml-j+1,:)=facm;
%0815 5M
C8ey(:,je_tot-upml+j,:)=facm;
i)'u!V
D1hx(:,upml-j+1,:)=facm/facp;
2l+'p[b0>
D1hx(:,je_tot-upml+j,:)=facm/facp;
0^2e^q f
D2hx(:,upml-j+1,:)=2*epsr*epsz*dt/facp;
[m x}n+~
D2hx(:,je_tot-upml+j,:)=2*epsr*epsz*dt/facp;
rP 6k}
D3hz(:,upml-j+1,:)=facm/facp;
ex|)3|J
D3hz(:,je_tot-upml+j,:)=facm/facp;
w3f D6$
D4hz(:,upml-j+1,:)=1/facp/mur/muz;
h4slQq~ K
D4hz(:,je_tot-upml+j,:)=1/facp/mur/muz;
geM`O|Np
end
{ c1wJ
e \kR/<L
% Coefficients for field components on the grid cell boundary
~Wm'~y>
F')E)tV
r_boundary = ([1:upml] - 0.75)/upml;
=AHV{V~
E[CvxVCx
for j=1:upml
H?ue!5R#L
%y1=(upml-j+1.5)*delta;
;%>X+/. y0
%y2=(upml-j+0.5)*delta;
& 7,/^ >">
%sigma=sigfactor*(y1^(orderbc+1)-y2^(orderbc+1));
Jx&+e,OST
%ki=1+kfactor*(y1^(orderbc+1)-y2^(orderbc+1));
+t lbO?
sigma(j) = sigmam * r_boundary(j)^orderbc;
s.Mrd~(Drz
ki = 1;
*D7oHwDU
facm=(2*epsr*epsz*ki-sigma(j)*dt);
,:81DA
facp=(2*epsr*epsz*ki+sigma(j)*dt);
>X >]QMfh
N0 t26| A
C3ex(:,upml-j+2,:)=facm/facp;
[ifQLsHA
C3ex(:,je_tot-upml+j,:)=facm/facp;
4g.S!-H@R
C4ex(:,upml-j+2,:)=2*epsr*epsz/facp;
%z @T /
C4ex(:,je_tot-upml+j,:)=2*epsr*epsz/facp;
"VsS-b^ P
C5ez(:,upml-j+2,:)=facm/facp;
]?jmRk^ .
C5ez(:,je_tot-upml+j,:)=facm/facp;
k'[\r>T
C6ez(:,upml-j+2,:)=1/facp;
aO<H!hK
C6ez(:,je_tot-upml+j,:)=1/facp;
~F~hgVS5
D5hy(:,upml-j+2,:)=facp;
#TP Y %
D5hy(:,je_tot-upml+j,:)=facp;
q<fj1t1w
D6hy(:,upml-j+2,:)=facm;
[h\_yU[ P
D6hy(:,je_tot-upml+j,:)=facm;
iIo>]\Pw
BIvz55g
end
jd+HIR
brn>FFAwO
%yp y的正方向
DEv,!8
C5ex(1:ie_tot,pye:je_tot,pzs+1:pze-1)=C5;
Y k"yup@3
C6ex(1:ie_tot,pye:je_tot,pzs+1:pze-1)=C6;
KA` )dMWL
C7ex(pxs:pxe-1,pye:je_tot,2:ke_tot)=C7;
YWq{?'AaR
C8ex(pxs:pxe-1,pye:je_tot,2:ke_tot)=C8;
D{t0OvQag
!\&4,l(
C3ey(2:ie_tot,pye:je_tot,pzs+1:pze-1)=C3;
5kv]k?
C4ey(2:ie_tot,pye:je_tot,pzs+1:pze-1)=C4;
+hWeN&A
C5ey(pxs+1:pxe-1,pye:je_tot,2:ke_tot)=C5;
5'0kf7
C6ey(pxs+1:pxe-1,pye:je_tot,2:ke_tot)=C6;
xA}{ZnTbN
G_5NS<JE"S
C3ez(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=C3;
/ #xYy^`
C4ez(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=C4;
NXE1v~9V
C7ez(2:ie_tot,pye:je_tot,pzs:pze-1)=C7;
D >wo>,G
C8ez(2:ie_tot,pye:je_tot,pzs:pze-1)=C8;
?N%5c%oF
4vH.B)S-
D3hx(2:ie_tot,pye:je_tot,pzs:pze-1)=D3;
P6tJo{l8w
D4hx(2:ie_tot,pye:je_tot,pzs:pze-1)=D4;
okW'}@jD
D5hx(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=D5;
Hp fTuydU
D6hx(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=D6;
Lr>4~1:`
G~4|]^`g
D1hy(1:ie_tot,pye:je_tot,pzs:pze-1)=D1;
5_L43-
D2hy(1:ie_tot,pye:je_tot,pzs:pze-1)=D2;
h/l?,7KHI
D3hy(pxs:pxe-1,pye:je_tot,1:ke_tot)=D3;
r2Q) Q
D4hy(pxs:pxe-1,pye:je_tot,1:ke_tot)=D4;
0ENqK2
J= DD/Gp
D1hz(pxs:pxe-1,pye:je_tot,2:ke_tot)=D1;
%bnjK#o"Q
D2hz(pxs:pxe-1,pye:je_tot,2:ke_tot)=D2;
/z(s1G.
D5hz(1:ie_tot,pye:je_tot,pzs+1:pze-1)=D5;
'Cywn^Ym#
D6hz(1:ie_tot,pye:je_tot,pzs+1:pze-1)=D6;
pq5bK0N Q
`,wX&@sN
%yn y的负方向
Cmj `WSSa
C5ex(1:ie_tot,2:pys,pzs+1:pze-1)=C5;
E~Y%x/oX
C6ex(1:ie_tot,2:pys,pzs+1:pze-1)=C6;
Xb*>7U/'T
C7ex(pxs:pxe-1,2:pys,2:ke_tot)=C7;
Y9(BxDP_+Y
C8ex(pxs:pxe-1,2:pys,2:ke_tot)=C8;
fli7Ow?M~
Nk>6:Ho{G
C3ey(2:ie_tot,1:pys-1,pzs+1:pze-1)=C3;
o\y qf:V8
C4ey(2:ie_tot,1:pys-1,pzs+1:pze-1)=C4;
#+3I$ k
C5ey(pxs+1:pxe-1,1:pys-1,2:ke_tot)=C5;
|VoYFoiQ
C6ey(pxs+1:pxe-1,1:pys-1,2:ke_tot)=C6;
5YiBw|Z7 "
&-Z#+>=H(
C3ez(pxs+1:pxe-1,2:pys,1:ke_tot)=C3;
RKz _GEH)
C4ez(pxs+1:pxe-1,2:pys,1:ke_tot)=C4;
yj`xOncE}
C7ez(2:ie_tot,2:pys,pzs:pze-1)=C7;
-| t|w:&
C8ez(2:ie_tot,2:pys,pzs:pze-1)=C8;
R2[ }
*;(GL
D3hx(2:ie_tot,1:pys-1,pzs:pze-1)=D3;
" 6
D4hx(2:ie_tot,1:pys-1,pzs:pze-1)=D4;
gem+$TFq
D5hx(pxs+1:pxe-1,1:pys-1,1:ke_tot)=D5;
1]jUiX=T
D6hx(pxs+1:pxe-1,1:pys-1,1:ke_tot)=D6;
[WunA,IuR
^m^,:]I0P
D1hy(1:ie_tot,2:pys,pzs:pze-1)=D1;
x\(yjNZH
D2hy(1:ie_tot,2:pys,pzs:pze-1)=D2;
M Xl!
D3hy(pxs:pxe-1,2:pys,1:ke_tot)=D3;
pvd9wKz
D4hy(pxs:pxe-1,2:pys,1:ke_tot)=D4;
Hkj| e6
yz=6 V%
D1hz(pxs:pxe-1,1:pys-1,2:ke_tot)=D1;
.rbKvd?-}
D2hz(pxs:pxe-1,1:pys-1,2:ke_tot)=D2;
'#8;bU
D5hz(1:ie_tot,1:pys-1,pzs+1:pze-1)=D5;
{S5D~A*a+
D6hz(1:ie_tot,1:pys-1,pzs+1:pze-1)=D6;
$2*&\/;-E!
>5]w\^QN9_
% PEC walls
w sC T9&p
% C3ex(:,1,:)=-1;
ok9G 9|HA
% C3ex(:,jh_tot,:)=-1;
+Sdki::
% C4ex(:,1,:)=0;
9\NP)Vm$^
% C4ex(:,jh_tot,:)=0;
C;!h4l7L
% C5ez(:,1,:)=-1;
< 'qtqUL\
% C5ez(:,jh_tot,:)=-1;
j(= zc6m
% C6ez(:,1,:)=0;
v]KI=!Gs
% C6ez(:,jh_tot,:)=0;
3_ k3U
+&TcTu#.`
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
QmB,~x{j>
% z-varying material properties
: ]JsUb{YK
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
~f%AbDye
v&ZI<Xt+
delbc=upml*delta;
%^8>=
sigmam=-log(rmax)*epsr*epsz*cc*(orderbc+1)/(2*delbc);
_:;j)J 0
%sigfactor=sigmam/(delta*(delbc^orderbc)*(orderbc+1));
04<T2)QgK
kmax=1;
evGUSol?:n
kfactor=(kmax-1)/delta/(orderbc+1)/delbc^orderbc;
QWxl$%`89<
Fqp~1>wi
% Coefficients for field components in the center of the grid cell
9 ]/j u
GUK3`}!%
r_center = ([1:upml] - 0.25)/upml;
4K*DEVS
for k=1:upml
!HHbd |B_
,_t}\7
%z1=(upml-k+1)*delta;
&28 n1
%z2=(upml-k)*delta;
qS+I lg
%sigma=sigfactor*(z1^(orderbc+1)-z2^(orderbc+1));
@-qC".CI
%ki=1+kfactor*(z1^(orderbc+1)-z2^(orderbc+1));
=E%<"FB
sigma(k) = sigmam * r_center(k)^orderbc;
[ w1"
ki = 1;
d "vd_}P~
facm=(2*epsr*epsz*ki-sigma(k)*dt);
/T2f~1R
facp=(2*epsr*epsz*ki+sigma(k)*dt);
Z})n%l8J]p
gbRdng7(}
C7ez(:,:,upml-k+1)=facp;
z'}?mE3i
C7ez(:,:,ke_tot-upml+k)=facp;
-[`FNTTV C
C8ez(:,:,upml-k+1)=facm;
*C?x\.\C
C8ez(:,:,ke_tot-upml+k)=facm;
j k}m
D1hy(:,:,upml-k+1)=facm/facp;
u d.Bzg:/
D1hy(:,:,ke_tot-upml+k)=facm/facp;
\OXKK<^$uK
D2hy(:,:,upml-k+1)=2*epsr*epsz*dt/facp;
oE4hGt5x{
D2hy(:,:,ke_tot-upml+k)=2*epsr*epsz*dt/facp;
TDQh ^Wo
D3hx(:,:,upml-k+1)=facm/facp;
_A/ ]m4
D3hx(:,:,ke_tot-upml+k)=facm/facp;
gb0ZGnI
D4hx(:,:,upml-k+1)=1/facp/mur/muz;
6ypqnOTr
D4hx(:,:,ke_tot-upml+k)=1/facp/mur/muz;
>'zp
QCWk [Gx
end
<ByDT$E_
?` O Dt]s
T)B1V,2 j=
% Coefficients for field components on the grid cell boundary
D+ **o
r_boundary = ([1:upml] - 0.75)/upml;
;4 2D+q =s
for k=1:upml
`Lu\zR%<
%z1=(upml-k+1.5)*delta;
P X<,/6g z
%z2=(upml-k+0.5)*delta;
eDSBs3k7H
%sigma=sigfactor*(z1^(orderbc+1)-z2^(orderbc+1));
& 9'JHF!l
%ki=1+kfactor*(z1^(orderbc+1)-z2^(orderbc+1));
Uyyw'Ni
sigma(k) = sigmam * r_boundary(k)^orderbc;
Q,`Y
ki = 1;
!P26$US%P
facm=(2*epsr*epsz*ki-sigma(k)*dt);
0Z {(,GU
facp=(2*epsr*epsz*ki+sigma(k)*dt);
RsDI7v
jNNl5.
C3ey(:,:,upml-k+2)=facm/facp;
f?C !Br}
C3ey(:,:,ke_tot-upml+k)=facm/facp;
goT:\2
C4ey(:,:,upml-k+2)=2*epsr*epsz/facp;
,/>~J]:\;
C4ey(:,:,ke_tot-upml+k)=2*epsr*epsz/facp;
WH$ Ls('
C5ex(:,:,upml-k+2)=facm/facp;
W\<5'9LNb
C5ex(:,:,ke_tot-upml+k)=facm/facp;
Pjff% r^
C6ex(:,:,upml-k+2)=1/facp;
{N,w5!cP
C6ex(:,:,ke_tot-upml+k)=1/facp;
*ha 9Vq@X
D5hz(:,:,upml-k+2)=facp;
$rC`)"t
D5hz(:,:,ke_tot-upml+k)=facp;
| "Oazll
D6hz(:,:,upml-k+2)=facm;
K\ \U F
D6hz(:,:,ke_tot-upml+k)=facm;
h@D4~(r
uQ.VW/>
end
!f\6=Z?>3
.*g;2.-qv&
w65 $ R
I1H:h
3?uP $(l
%zp z的正方向
*H RxC
C7ex(pxs:pxe-1,2:je_tot,pze:ke_tot)=C7;
G:rM_q9\u
C8ex(pxs:pxe-1,2:je_tot,pze:ke_tot)=C8;
u$[T8UqF
C3ex(1:ie_tot,pys+1:pye-1,pze:ke_tot)=C3;
}a_: oR
C4ex(1:ie_tot,pys+1:pye-1,pze:ke_tot)=C4;
K` 2a{`
b\\?aR |
C5ey(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=C5;
L3~E*\cV
C6ey(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=C6;
*lG$B@;rc|
C7ey(2:ie_tot,pys:pye-1,pze:ke_tot)=C7;
6A/|XwfE/v
C8ey(2:ie_tot,pys:pye-1,pze:ke_tot)=C8;
F'#e]/V1
':w6 {b
C5ez(2:ie_tot,pys+1:pye-1,pze:ke_tot)=C5;
U\~[
C6ez(2:ie_tot,pys+1:pye-1,pze:ke_tot)=C6;
f i!wrvO
C3ez(pxs+1:pxe-1,2:je_tot,pze:ke_tot)=C3;
qQ6NxhQo
C4ez(pxs+1:pxe-1,2:je_tot,pze:ke_tot)=C4;
wEMUr0Hq
Q\:'gx8`
D1hx(2:ie_tot,pys:pye-1,pze:ke_tot)=D1;
\ca4X{x
D2hx(2:ie_tot,pys:pye-1,pze:ke_tot)=D2;
3-8Vw$u
D5hx(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=D5;
,O(XNA(C
D6hx(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=D6;
qwaw\vOA
6C/ D&+4
D3hy(pxs:pxe-1,2:je_tot,pze:ke_tot)=D3;
y K&)H+v
D4hy(pxs:pxe-1,2:je_tot,pze:ke_tot)=D4;
e"|9%AW@<
D5hy(1:ie_tot,pys+1:pye-1,pze:ke_tot)=D5;
j{P,(-
D6hy(1:ie_tot,pys+1:pye-1,pze:ke_tot)=D6;
{_/6,22j(V
MJ X m7<(
D1hz(pxs:pxe-1,1:je_tot,pze:ke_tot)=D1;
+o/;bm*U<K
D2hz(pxs:pxe-1,1:je_tot,pze:ke_tot)=D2;
Ec6 {?\
D3hz(1:ie_tot,pys:pye-1,pze:ke_tot)=D3;
MOmp{@
D4hz(1:ie_tot,pys:pye-1,pze:ke_tot)=D4;
_bks*.9}3b
u-k?ef
%zn z的负方向
]yVB66l
C7ex(pxs:pxe-1,2:je_tot,2:pzs)=C7;
]@ [=FK^
C8ex(pxs:pxe-1,2:je_tot,2:pzs)=C8;
=4M i V]
C3ex(1:ie_tot,pys+1:pye-1,2:pzs)=C3;
*qBMt[a
C4ex(1:ie_tot,pys+1:pye-1,2:pzs)=C4;
7F'61}qL
*<#&ne 8
C5ey(pxs+1:pxe-1,1:je_tot,2:pzs)=C5;
gi@+2 7;
C6ey(pxs+1:pxe-1,1:je_tot,2:pzs)=C6;
73.o{V
C7ey(2:ie_tot,pys:pye-1,2:pzs)=C7;
W^+b gg<.
C8ey(2:ie_tot,pys:pye-1,2:pzs)=C8;
;|/7o@$ n
5#f&WL*U@
C5ez(2:ie_tot,pys+1:pye-1,1:pzs-1)=C5;
g}qK$>EPS
C6ez(2:ie_tot,pys+1:pye-1,1:pzs-1)=C6;
nhCB ])u8l
C3ez(pxs+1:pxe-1,2:je_tot,1:pzs-1)=C3;
% NS]z ;G
C4ez(pxs+1:pxe-1,2:je_tot,1:pzs-1)=C4;
J= |[G'
ESASsRzk
D1hx(2:ie_tot,pys:pye-1,1:pzs-1)=D1;
] @?3,N
D2hx(2:ie_tot,pys:pye-1,1:pzs-1)=D2;
n(f&uV_):
D5hx(pxs+1:pxe-1,1:je_tot,1:pzs-1)=D5;
=C\S6bF%
D6hx(pxs+1:pxe-1,1:je_tot,1:pzs-1)=D6;
f3l >26
|$b 4 {
D3hy(pxs:pxe-1,2:je_tot,1:pzs-1)=D3;
x Hr
D4hy(pxs:pxe-1,2:je_tot,1:pzs-1)=D4;
# G{T(0<F
D5hy(1:ie_tot,pys+1:pye-1,1:pzs-1)=D5;
Hab9~v ]
D6hy(1:ie_tot,pys+1:pye-1,1:pzs-1)=D6;
V`WfJ>{;Z
v @N8v
D1hz(pxs:pxe-1,1:je_tot,2:pzs)=D1;
cdIy[ 1
D2hz(pxs:pxe-1,1:je_tot,2:pzs)=D2;
*} w.xt
D3hz(1:ie_tot,pys:pye-1,2:pzs)=D3;
`g :< $3}
D4hz(1:ie_tot,pys:pye-1,2:pzs)=D4;
sfrh+o57
f (n{7
T)Nis~
# lLL5ji
%r!#
% PEC walls
Y*Q( v
% C3ey(:,:,1)=-1;
d$2{_6
% C3ey(:,:,kh_tot)=-1;
" a"[B'
% C4ey(:,:,1)=0;
kb7 \qH!n
% C4ey(:,:,kh_tot)=0;
ln=zGX.e
% C5ex(:,:,1)=-1;
&GD7ldck
% C5ex(:,:,kh_tot)=-1;
|_=jXf\TL
% C6ex(:,:,1)=0;
zP kg3H
% C6ex(:,:,kh_tot)=0;
!s)$_tG
X}usy O'pW
%figure
WAdl@){
%set(gcf,'DoubleBuffer','on')
q-8 GD7
@e0 Q+ t
%***********************************************************************
ga~vQ 7I_
% Begin time stepping loop
s_*eX N
%***********************************************************************
cq9Q7<&MF
?<LG(WY
for n=1:nmax
CWN=6(y
x)* /3[
% Update magnetic field
\iE 'E
bstore=bx;
|XH3$;=*h
bx(2:ie_tot,:,:)=D1hx(2:ie_tot,:,:).* bx(2:ie_tot,:,:)-...
#i ]@"R
D2hx(2:ie_tot,:,:).*((ez(2:ie_tot,2:jh_tot,:)-ez(2:ie_tot,1:je_tot,:))-...
7e=a D~f
(ey(2:ie_tot,:,2:kh_tot)-ey(2:ie_tot,:,1:ke_tot)))./delta;
q2<J`G(tZ
hx(2:ie_tot,:,:)= D3hx(2:ie_tot,:,:).*hx(2:ie_tot,:,:)+...
8m*\"_S{
D4hx(2:ie_tot,:,:).*(D5hx(2:ie_tot,:,:).*bx(2:ie_tot,:,:)-...
X"1<G3m4
D6hx(2:ie_tot,:,:).*bstore(2:ie_tot,:,:));
d,)F #;^5
bstore=by;
R&alq
by(:,2:je_tot,:)=D1hy(:,2:je_tot,:).* by(:,2:je_tot,:)-...
[a |fm*B!
D2hy(:,2:je_tot,:).*((ex(:,2:je_tot,2:kh_tot)-ex(:,2:je_tot,1:ke_tot))-...
_fyw
(ez(2:ih_tot,2:je_tot,:)-ez(1:ie_tot,2:je_tot,:)))./delta;
Z?Q2 ed*j
hy(:,2:je_tot,:)= D3hy(:,2:je_tot,:).*hy(:,2:je_tot,:)+...
RY~)MS _C
D4hy(:,2:je_tot,:).*(D5hy(:,2:je_tot,:).*by(:,2:je_tot,:)-...
7:p]~eM)
D6hy(:,2:je_tot,:).*bstore(:,2:je_tot,:));
pM7BdMp
bstore=bz;
bA^a@ lv a
bz(:,:,2:ke_tot)=D1hz(:,:,2:ke_tot).* bz(:,:,2:ke_tot)-...
8\V-aow
D2hz(:,:,2:ke_tot).*((ey(2:ih_tot,:,2:ke_tot)-ey(1:ie_tot,:,2:ke_tot))-...
YJ6vyG>%C
(ex(:,2:jh_tot,2:ke_tot)-ex(:,1:je_tot,2:ke_tot)))./delta;
$c y:G
hz(:,:,2:ke_tot)= D3hz(:,:,2:ke_tot).*hz(:,:,2:ke_tot)+...
*HXq`B
D4hz(:,:,2:ke_tot).*(D5hz(:,:,2:ke_tot).*bz(:,:,2:ke_tot)-...
Y3zO7*-@
D6hz(:,:,2:ke_tot).*bstore(:,:,2:ke_tot));
=}"hC`3e
{oJa8~P
% PEC on the PML outer boundary
&S-& 'ZAY
{Jy %h8n*
% tangential ex=0 on front-back plane
E8dp
ex(:,1,:)=0.0;
bn(Scl#@K
ex(:,jh_tot,:)=0.0;
IGqmH=-
CM#EA"9
% tangential ex=0 on down-up plane
h1gb&?w5P
ex(:,:,1)=0.0;
yR$_$N+E
ex(:,:,kh_tot)=0.0;
!S-hv1bE
FXSDN268
V_1# 7
% tangential ey=0 on left-right plane
aKUr":z
ey(1,:,:)=0.0;
y-X'eCUz
ey(ih_tot,:,:)=0.0;
uE|[7,D7;u
Ypts q@s
-$kJERv y
% tangential ey=0 on down-up plane
1*jL2P]D
ey(:,:,1)=0.0;
?7p| F^
ey(:,:,kh_tot)=0.0;
J-ZM1HoB
m{5$4v,[
~R8yj(
% tangential ez=0 on left-right plane
dB,#`tc=,
ez(1,:,:)=0.0;
w:LCm `d
ez(ih_tot,:,:)=0.0;
/uc/x+(_
[; 2:lbPx
j`Gb I0,bT
% tangential ez=0 on front-back plane
v}Nx*%
ez(:,1,:)=0.0;
*Fc&DQT(
ez(:,jh_tot,:)=0.0;
%N
,q HG1#^
% Update electric field
7fE V/j
3"hR:'ts
p1store=px1;
, Ex\\p-
px1(:,2:je_tot,2:ke_tot)=C1ex(:,2:je_tot,2:ke_tot).* px1(:,2:je_tot,2:ke_tot)+...
zn x_p /V
C2ex(:,2:je_tot,2:ke_tot).*((hz(:,2:je_tot,2:ke_tot)-hz(:,1:je_tot-1,2:ke_tot))-...
=iQm_g
( hy(:,2:je_tot,2:ke_tot)-hy(:,2:je_tot,1:ke_tot-1)))./delta;
1G;Ns] u
p2store=px2;
(qP$I:Q4]v
px2(:,2:je_t ..
lG+ltCc$9
Zs{R O
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xiaoyuan
UID ：53338
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2010-02-28
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2015-12-05
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仿真二级
1楼
发表于: 2010-08-29 06:21:02
这是代码，可以下载，刚刚没弄明白怎么上传代码。呵呵。
UPML_3D_Boyuan_lossy.rar
(5 K) 下载次数:17
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