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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
k{jw% a<Sc
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！！
k_<{j0z .
X3{1DY3@u
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。
~[TKVjyO
4D$sFR|?t
%
Update magnetic field
2j7d$y*'
O/9%"m:i
bstore=bx;
%:KV2GP
bx(2:ie_tot,:,:)=D1hx(2:ie_tot,:,:).* bx(2:ie_tot,:,:)-...
z L'IN)7MU
D2hx(2:ie_tot,:,:).*((ez(2:ie_tot,2:jh_tot,:)-ez(2:ie_tot,1:je_tot,:))-...
4oV_b"xz~
(ey(2:ie_tot,:,2:kh_tot)-ey(2:ie_tot,:,1:ke_tot)))./delta;
* g4Cy 8$
|7zP 8
hx(2:ie_tot,:,:)= D3hx(2:ie_tot,:,:).*hx(2:ie_tot,:,:)+...
8$ZSF92C
D4hx(2:ie_tot,:,:).*(D5hx(2:ie_tot,:,:).*bx(2:ie_tot,:,:)-...
Lzx$"R-
D6hx(2:ie_tot,:,:).*bstore(2:ie_tot,:,:));
%8CT -mQ
\Z20fh2
bstore=by;
3D{4vMm X
by(:,2:je_tot,:)=D1hy(:,2:je_tot,:).* by(:,2:je_tot,:)-...
/ 7X dV
D2hy(:,2:je_tot,:).*((ex(:,2:je_tot,2:kh_tot)-ex(:,2:je_tot,1:ke_tot))-...
`l 2<
(ez(2:ih_tot,2:je_tot,:)-ez(1:ie_tot,2:je_tot,:)))./delta;
|vN@2h(|"
8UT%:DlxQ
hy(:,2:je_tot,:)= D3hy(:,2:je_tot,:).*hy(:,2:je_tot,:)+...
6'Yn|A
D4hy(:,2:je_tot,:).*(D5hy(:,2:je_tot,:).*by(:,2:je_tot,:)-...
` .(S #!gw
D6hy(:,2:je_tot,:).*bstore(:,2:je_tot,:));
5A$az03y$\
eM=) >zl
bstore=bz;
?w37vsN
bz(:,:,2:ke_tot)=D1hz(:,:,2:ke_tot).* bz(:,:,2:ke_tot)-...
}<ONx g6Kb
D2hz(:,:,2:ke_tot).*((ey(2:ih_tot,:,2:ke_tot)-ey(1:ie_tot,:,2:ke_tot))-...
2~WFLD
(ex(:,2:jh_tot,2:ke_tot)-ex(:,1:je_tot,2:ke_tot)))./delta;
#oJbrh9J6
OI_/7@L
hz(:,:,2:ke_tot)= D3hz(:,:,2:ke_tot).*hz(:,:,2:ke_tot)+...
8V|jL?a~
D4hz(:,:,2:ke_tot).*(D5hz(:,:,2:ke_tot).*bz(:,:,2:ke_tot)-...
*C@[5#CA2z
D6hz(:,:,2:ke_tot).*bstore(:,:,2:ke_tot));
4Sstg57x~
* \o$-6<
% Update electric field
QeeC 2
y C0f/O
p1store=px1;
&U$8zn~[k
zc/ %1
px1(:,2:je_tot,2:ke_tot)=C1ex(:,2:je_tot,2:ke_tot).* px1(:,2:je_tot,2:ke_tot)+...
t 9n
C2ex(:,2:je_tot,2:ke_tot).*((hz(:,2:je_tot,2:ke_tot)-hz(:,1:je_tot-1,2:ke_tot))-...
o1X/<.0+
( hy(:,2:je_tot,2:ke_tot)-hy(:,2:je_tot,1:ke_tot-1)))./delta;
j%Z{.>mJ
_Sgk ^i3v
p2store=px2;
MIlCUk
{IPn\Bka
px2(:,2:je_tot,2:ke_tot)=C3ex(:,2:je_tot,2:ke_tot).* px2(:,2:je_tot,2:ke_tot)+...
6!%d-Z7)
C4ex(:,2:je_tot,2:ke_tot).*( px1(:,2:je_tot,2:ke_tot)-...
PR@4' r|a
p1store(:,2:je_tot,2:ke_tot));
%Mng8r
=HV-8C]
ex(:,2:je_tot,2:ke_tot)=C5ex(:,2:je_tot,2:ke_tot).* ex(:,2:je_tot,2:ke_tot)+...
n22hVw
C6ex(:,2:je_tot,2:ke_tot).*(C7ex(:,2:je_tot,2:ke_tot).* px2(:,2:je_tot,2:ke_tot)-...
0uIV6LI
C8ex(:,2:je_tot,2:ke_tot).*p2store(:,2:je_tot,2:ke_tot));
w$lfR ,
qIGu#zX W
p1store=py1;
> }DjHLTW\
qN1 -plY
py1(2:ie_tot,:,2:ke_tot)=C1ey(2:ie_tot,:,2:ke_tot).* py1(2:ie_tot,:,2:ke_tot)+...
FK@ f'
C2ey(2:ie_tot,:,2:ke_tot).*((hx(2:ie_tot,:,2:ke_tot)-hx(2:ie_tot,:,1:ke_tot-1))-...
40Qzo%eL
( hz(2:ie_tot,:,2:ke_tot)-hz(1:ie_tot-1,:,2:ke_tot)))./delta;
sb|3|J6=
{8#N7(%z
p2store=py2;
J4[x,(iq(
A2|o=mOH
py2(2:ie_tot,:,2:ke_tot)=C3ey(2:ie_tot,:,2:ke_tot).* py2(2:ie_tot,:,2:ke_tot)+...
L);||]B
C4ey(2:ie_tot,:,2:ke_tot).*( py1(2:ie_tot,:,2:ke_tot)-...
R8[i XXjku
p1store(2:ie_tot,:,2:ke_tot));
=F %wlzF:
foz5D9sQ
ey(2:ie_tot,:,2:ke_tot)=C5ey(2:ie_tot,:,2:ke_tot).* ey(2:ie_tot,:,2:ke_tot)+...
A_jB|<bjTP
C6ey(2:ie_tot,:,2:ke_tot).*(C7ey(2:ie_tot,:,2:ke_tot).* py2(2:ie_tot,:,2:ke_tot)-...
K rr?`n
C8ey(2:ie_tot,:,2:ke_tot).*p2store(2:ie_tot,:,2:ke_tot));
,/?%y\:J
}.MoDR3\
p1store=pz1;
P10p<@?
X4 } `>
pz1(2:ie_tot,2:je_tot,:)=C1ez(2:ie_tot,2:je_tot,:).* pz1(2:ie_tot,2:je_tot,:)+...
=EcIXDzC>
C2ez(2:ie_tot,2:je_tot,:).*((hy(2:ie_tot,2:je_tot,:)-hy(1:ie_tot-1,2:je_tot,:))-...
p_5>?[TW:
( hx(2:ie_tot,2:je_tot,:)-hx(2:ie_tot,1:je_tot-1,:)))./delta;
c. T B8Ol
p2store=pz2;
/;<e.
iijd $Tv
pz2(2:ie_tot,2:je_tot,:)=C3ez(2:ie_tot,2:je_tot,:).* pz2(2:ie_tot,2:je_tot,:)+...
yxC M l.
C4ez(2:ie_tot,2:je_tot,:).*( pz1(2:ie_tot,2:je_tot,:)-...
ci ,o8 [Y
p1store(2:ie_tot,2:je_tot,:));
+(<n |~
,"N3k( g
pz2(is,js,ks:ks+1)=pz2(is,js,ks:ks+1)+exp(-((n-4.5*tau/dt)^2/(tau/dt)^2));
O,=Q1*c,&
%on9C`/
ez(2:ie_tot,2:je_tot,:)=C5ez(2:ie_tot,2:je_tot,:).* ez(2:ie_tot,2:je_tot,:)+...
9*=@/1
C6ez(2:ie_tot,2:je_tot,:).*(C7ez(2:ie_tot,2:je_tot,:).* pz2(2:ie_tot,2:je_tot,:)-...
D]pK=247
C8ez(2:ie_tot,2:je_tot,:).*p2store(2:ie_tot,2:je_tot,:));
=nvAOvP{?
h mBnV
以下是全部代码：希望各位能帮忙看看哪里不对。
jTd4 H)
（注明：我在给迭代系数赋值时是一部分一部分慢慢赋值，并没有像原代码那样一起赋值，所以有点冗长，但是我目前是想找出这个代码哪里有毛病。所以优化问题先放一边，希望大家能理解，如果对代码有不清楚的地方，回复我。我会每天都上论坛给予解释。谢谢！）
I( ^jOgYU
fXu~69_
（说明：（其实大家不用在意这个）为了方便大家理解，我的UPML层，想象中是整体向内缩减了0.25个网格长度。如果把网格坐标定为1，2，3...一直到61（60个格子)，那pml层的坐标就是从1.25，2.25，3.25.... 一直到11.25和 从50.75，51.75....一直到60.75。大家可以想象一下。 （原来可能是从1，2，3...到11，51,52，53.....到61 我就是将每个方向的pml的范围将两头向中间压缩了0.25个网格长。）
?)?IZ Qj
%Rd~|$@>x
`rz`3:ZH
%***********************************************************************
J-, H6u
% Fundamental constants
XW U v P
%***********************************************************************
jMf 7J
?GUz?'d
cc=2.99792458e8;
e7XsyL'|p
muz=4.0*pi*1.0e-7;
2H?I'<NoC
epsz=1.0/(cc*cc*muz);
_H4$$
etaz=sqrt(muz/epsz);
mEB2RLCM
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？？
Y ( 1L>4
8K@"B
Y8 J ;+h9
%***********************************************************************
"[Qb'9/Jc
% Material parameters
^A *]&%(h
%***********************************************************************
^_*jp[!`b$
(>rS _#^
mur=1.0;
`z-H]fU
epsr=80;
FVsu8z u
freq=20000;
<+? Y
eta=etaz*sqrt(mur/epsr); %
YQ 8j
$Yx6#m}[M
c=1/sqrt(epsr*epsz*muz*mur);
oh7#cFZZ0
%***********************************************************************
'R4>CZ%jV
% Grid parameters
4f4 i1i:
%
RwAbIXG{0
% Each grid size variable name describes the number of sampled points
r^w\9a_
% for a particular field component in the direction of that component.
Y!Uu173
% Additionally, the variable names indicate the region of the grid
_H WHQF7
% for which the dimension is relevant. For example, ie_tot is the
zG-_!FIn
% number of sample points of Ex along the x-axis in the total
c&7Do}
% computational grid, and jh_bc is the number of sample points of Hy
- +3be (u
% along the y-axis in the y-normal UPML regions.
wJ80};!
%
(orrX E z
%***********************************************************************
?%\mQmjas
%_B:EMPd
9RG\UbX)^|
%是一个三维立方体空间，60*60*60（已经包括了厚度为10的upml层）
n_""M:X H
Bs+c2 R
0|+>A?E}E
ie=40; % Size of main grid
H$~M`Y9I~
je=40;
v !< PDw2'
ke=40;
?%cn'=>ZI
ih=ie+1;
M1AZ}b c0]
jh=je+1;
qDby!^ryc
kh=ke+1;
~In{lQ[QX
2 ) TG
upml=10; % Thickness of PML boundaries
B>~k).M&,
ih_bc=upml+1;
do:QH.q8)
jh_bc=upml+1;
OW+ e_im}
kh_bc=upml+1;
GXOFk7 >
4R& *&GZ#
ie_tot=ie+2*upml; % Size of total computational domain
P$p@5 hl
je_tot=je+2*upml;
! lR0w|
ke_tot=ke+2*upml;
tWpl`HH
ih_tot=ie_tot+1;
N<KKY"?I'
jh_tot=je_tot+1;
KY4d+~2
kh_tot=ke_tot+1;
-Wl)Lez@
cT/3yf
pxs = 11;
r?64!VS ;
pys = 11;
wzD\8_;6N
pzs = 11;
G_V.H \w
9 ' 2 =
pxe = 51;
(bg}an
pye = 51;
reJ"r<2
pze = 51;
~?F K ; (
/a@ k S
is=round(ih_tot/2); % Location of z-directed current source
7d3 'CQQ4
js=round(jh_tot/2);
oJP< 'l1
ks=round(ke_tot/2);
iK g75%;t
CdX`PQ
%***********************************************************************
B }6K d
% Fundamental grid parameters
|WB"=PE
%***********************************************************************
V3## B}2[Y
FQ+8J 7
delta= 83.794539403718844;
pU M&"V
dt=0.9./sqrt(3.0./delta./delta)./c;
jMK3T
%dt=delta*sqrt(epsr*mur)/(2.0*cc);
CXBzX:T?#
%dt=delta*0.5/c;
%/P=m-K
nmax=200;
)yHJ[
N1PECLS?
%***********************************************************************
pPoH5CzcK
% Differentiated Gaussian pulse excitation
;5<P|:^
%***********************************************************************
bX7EO 8
Af`z/:0<
rtau=50.0e-12;
FI\IY R
%tau=rtau/dt;
D^|jZOJ
tau = 20*delta/2/c;
$np=eT)
ndelay=3*tau;
F vj{@B!
J0=-1.0*epsz;
ft{W/ * +_
LRWO BD
%***********************************************************************
a lrt*V|=
% Initialize field arrays
Q`N18I3
%***********************************************************************
K6E}";;
llNXQlP\B
ex =zeros(ie_tot,jh_tot,kh_tot);
Zotz?j VVr
px1=zeros(ie_tot,jh_tot,kh_tot);
DYX-5~;!
px2=zeros(ie_tot,jh_tot,kh_tot);
.\$Wy$ d
=KV@&Y^x4
ey= zeros(ih_tot,je_tot,kh_tot);
>&BrCu[u
py1=zeros(ih_tot,je_tot,kh_tot);
0[.3Es:_
py2=zeros(ih_tot,je_tot,kh_tot);
. =&Jo9
_HwpPRVP/
ez= zeros(ih_tot,jh_tot,ke_tot);
]K7`-p ~T
pz1=zeros(ih_tot,jh_tot,ke_tot);
iu +3,]7Fm
pz2=zeros(ih_tot,jh_tot,ke_tot);
EY]a6@;
KZ]r8
hx=zeros(ih_tot,je_tot,ke_tot);
5!~!j "q
hy=zeros(ie_tot,jh_tot,ke_tot);
~u! gUJ:
hz=zeros(ie_tot,je_tot,kh_tot);
u2 7S %2P
bx=zeros(ih_tot,je_tot,ke_tot);
)B81i! q
by=zeros(ie_tot,jh_tot,ke_tot);
PJCnud F
bz=zeros(ie_tot,je_tot,kh_tot);
+i+tp8T+7
9x(}F <L
%***********************************************************************
26M~<Ic
% Initialize update coefficient arrays
CQ<8P86gt
%***********************************************************************
NW)M?f+6
% 系数矩阵
9GTh yY
C1ex=zeros(size(ex));
d^tVD`Fm
C2ex=zeros(size(ex));
(s0 88O
C3ex=zeros(size(ex));
%8 qSv%_
C4ex=zeros(size(ex));
~]4 kkm7Y
C5ex=zeros(size(ex));
:.DI_XN`
C6ex=zeros(size(ex));
0F^]A"kF
C7ex=zeros(size(ex));
Q skUdzQ=
C8ex=zeros(size(ex));
u)7*Rj^
~ ^x-ym5
C1ey=zeros(size(ey));
e[}],W
C2ey=zeros(size(ey));
Oo kxg *!5
C3ey=zeros(size(ey));
$R";
C4ey=zeros(size(ey));
f4 Q( 1(C
C5ey=zeros(size(ey));
3EmcYC
C6ey=zeros(size(ey));
0vDg8i\
C7ey=zeros(size(ey));
~ Yl<S(/4
C8ey=zeros(size(ey));
<^Nk.E
>{Q dMn
C1ez=zeros(size(ez));
ZY)%U*jWU
C2ez=zeros(size(ez));
+lKrj\Xj
C3ez=zeros(size(ez));
;|6FdU
C4ez=zeros(size(ez));
2 % %|fU9
C5ez=zeros(size(ez));
[yC"el6PM
C6ez=zeros(size(ez));
Y c d3QRB
C7ez=zeros(size(ez));
}C_|gd
C8ez=zeros(size(ez));
Y xJ`-6
WV2~(/hX&
D1hx=zeros(size(hx));
v`SY6;<2
D2hx=zeros(size(hx));
[%jxf\9jJ_
D3hx=zeros(size(hx));
& N;pH
D4hx=zeros(size(hx));
YwXXXh
D5hx=zeros(size(hx));
c# xO<
D6hx=zeros(size(hx));
d5:tSO
|# V(p^
D1hy=zeros(size(hy));
z >|)ieL
D2hy=zeros(size(hy));
t=i/xG: 5
D3hy=zeros(size(hy));
{ UOhVJy
D4hy=zeros(size(hy));
Ra0=q4vdk
D5hy=zeros(size(hy));
kxh 5}eB
D6hy=zeros(size(hy));
/~*Cp9F"]
9^!wUwB
D1hz=zeros(size(hz));
PPj[;(A
D2hz=zeros(size(hz));
,%Z&*n
D3hz=zeros(size(hz));
7 WP%J-
D4hz=zeros(size(hz));
XC m\z9F
D5hz=zeros(size(hz));
2m\m/O
D6hz=zeros(size(hz));
2 h< U
p qeL%="p;
%***********************************************************************
V!xw b:J
% Update coefficients, as described in Section 7.8.2.
q3)wr%!k5D
%
ESIzGaM
% In order to simplify the update equations used in the time-stepping
U{}!y3[wK
% loop, we implement UPML update equations throughout the entire
0 I @$ 0Gg
% grid. In the main grid, the electric-field update coefficients of
<BP RV> 0X
% Equations 7.91a-f and the correponding magnetic field update
]~ 8v^A7u
% coefficients extracted from Equations 7.89 and 7.90 are simplified
&n|*uLn
% for the main grid (free space) and calculated below.
-;>#3 O-
%
ZBJ3 VK
%***********************************************************************
;E#\
}/p/ pVz
%以下是主区域的迭代系数，即非pml参数时的系数
H|`R4hAk
C1=(2*epsz*epsr-sigma_e*dt)/(2*epsz*epsr+sigma_e*dt);
{i>Jfl]G}
C2=2*dt/(2*epsz*epsr+sigma_e*dt);
F Ciq?@
C3=1.0;
f>z`i\1oO
C4=1.0;
} L <,eV
C5=1.0;
7 ]s%r ya
C6=1/2/epsz/epsr;
z, x" a
C7=2*epsz*epsr;
[O_^MA,z
C8=2*epsz*epsr;
xr.XU'
On&L#pf
D1=1.0;
+T2HE\
D2=dt;
/$:U$JVb?l
D3=1.0;
_q)!B,y-/N
D4=1.0/2.0/epsr/epsz/mur/muz;
"yW&<7 u1
D5=2.0*epsr*epsz;
l{5O5%\,
D6=2.0*epsr*epsz;
HIGNRm
vbp-`M(
%***********************************************************************
9 mPIykAj8
% Initialize main grid update coefficients
` 8UWE {
%***********************************************************************
ej52AK7
% 给主计算区域系数赋值。
4P%m>[
C1ex(:,:,:)=C1;
c#QFG1
C2ex(:,:,:)=C2;
KDD@% E
C3ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C3; %11 51
5 m7b\Mak
C4ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C4;
P"F{=\V1`<
C5ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C5; %11 51
ax_YKJ5#P
C6ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C6;
VNj @5s
C7ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C7; %11 50
~@Kf2dHes
C8ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C8;
A,BEKjR~J
[(|v`qMv/g
C1ey(:,:,:)=C1;
8%ik853`
C2ey(:,:,:)=C2;
9tk" :ld
C3ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C3; %11 51
2xn<E>]
C4ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C4;
*d>vR 1
C5ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C5; %11 51
RqLNp?V%
C6ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C6;
K%gP5>y*9>
C7ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C7; %11 50
MCU9O
C8ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C8;
.oR3Q/|k]
8bOT*^b$H
C1ez(:,:,:)=C1;
+9[SVw8
C2ez(:,:,:)=C2;
ZXt?[Ll
C3ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C3; %11 51
rl?7W];
C4ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C4;
yU7I;]YP
C5ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C5; %11 51
#) ] c0]p
C6ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C6;
$"8d:N?I[
C7ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C7; %11 50
%!y89x=E
C8ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C8;
w^{! U
:<GfET Is
D1hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D1; %11 50
e g3L:rk_
D2hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D2;
V"#Jk!k9k
D3hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D3; %11 50
((|IS[
D4hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D4;
=nU/ [T.
D5hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D5; %11 51
@ B`Md3$7
D6hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D6;
3 SNL5
(A{NF(
D1hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D1; %11 50
QaQ'OrP
D2hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D2;
.X `C^z]+
D3hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D3; %11 50
c!Dc8=nE0m
D4hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D4;
mW4%2fD [
D5hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D5; %11 51
z(H?VfJ o
D6hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D6;
T'1gy}
0E6lmz`O
D1hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D1; %11 50
3.vgukkk5
D2hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D2;
l>&sIX
D3hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D3; %11 50
vT7g<
D4hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D4;
A- wRah.M
D5hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D5; %11 51
MEq"}zrh
D6hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D6;
=_PvrB 2'
-(IC~
rmax=exp(-16); % R(0) desired reflection error, designated as R(0) in Equation 7.62
)X5(# E
T2weAk#J
orderbc=4; % m order of the polynomial grading, designated as m in Equation 7.60a,b
ll<mE,
S|K}k:v8
% 以下是给pml层的系数赋值，我完全是用的talflove书上的公式，没有用原来代码中的公式
Ld(NhB'7
% x-varying material properties
v <H b-~
delbc=upml*delta; % d
z[9UQU~x?
sigmam=-log(rmax)*(orderbc+1.0)/(2.0*eta*delbc);
Zw$ OKU
%sigfactor=sigmam/(delta*(delbc^orderbc)*(orderbc+1.0));
tln1eN((q
kmax=1;
eH <Jng
kfactor=(kmax-1.0)/delta/(orderbc+1.0)/delbc^orderbc;
o| D^`Z
>85zQ 1aL
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
8_xLl2
% xp xn
8h.V4/?
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
]sj0~DI*m
, 2`~ NPb
% Coefficients for field components in the center of the grid cell
H}nJbnU
X:=c5*0e
% x1=(upml-i+1)*delta;x1;
2o5;Uz1{
% x2=(upml-i)*delta;x2;
}1 QF+C f
r_center = ([1:upml] - 0.25)/upml;
E4HU 'y~
&q>zR6j ne
%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
u7=T(4a
'UfeluMd
for i=1:upml
G7-!`-Nk
%sigma=sigfactor*(x1^(orderbc+1)-x2^(orderbc+1));
c tI{^f:
%ki=1+kfactor*(x1^(orderbc+1)-x2^(orderbc+1));
B?6QMC;
sigma(i) = sigmam * r_center(i)^orderbc;
u) *Kws
ki = 1;
P5?<_x0v4b
facm=(2*epsr*epsz*ki-sigma(i)*dt);
[uR/ M
facp=(2*epsr*epsz*ki+sigma(i)*dt);
;>ozEh#8w
%ie_tot-upml+i;
ndi+xaQtG
%upml-i+1;
x(~< t X~
1`-r#-M GG
C7ex(upml-i+1,:,:)=facp;
8&E}n(XE
C7ex(ie_tot-upml+i,:,:)=facp;
OW`STp!
C8ex(upml-i+1,:,:)=facm;
V'StvU
C8ex(ie_tot-upml+i,:,:)=facm;
'M/ ([|@
D1hz(upml-i+1,:,:)=facm/facp;
nPA@h
D1hz(ie_tot-upml+i,:,:)=facm/facp;
*Km7U-BG
D2hz(upml-i+1,:,:)=2.0*epsr*epsz*dt/facp;
Q~Ea8UT. #
D2hz(ie_tot-upml+i,:,:)=2.0*epsr*epsz*dt/facp;
4| Ui?.4=
D3hy(upml-i+1,:,:)=facm/facp;
#H5=a6E+q
D3hy(ie_tot-upml+i,:,:)=facm/facp;
T20VX 8gX
D4hy(upml-i+1,:,:)=1.0/facp/mur/muz;
g`?:=G:a*
D4hy(ie_tot-upml+i,:,:)=1.0/facp/mur/muz;
&88oB6$D^q
V3.t; .@
end
>n$ !<
#jS[
% Coefficients for field components on the grid cell boundary
l [%lE
:"'nK6>
r_boundary = ([1:upml] - 0.75)/upml;
Cs1>bpY*R6
{exrwnIZj
dGkg aC+
for i=1:upml
g x;O6S{
% x1=(upml-i+1.5)*delta;
S>f&6ZDNY(
% x2=(upml-i+0.5)*delta;
]vo_gKZ
% sigma=sigfactor*(x1^(orderbc+1)-x2^(orderbc+1));
D:E9!l'
% ki=1.0+kfactor*(x1^(orderbc+1)-x2^(orderbc+1));
\ =nrt?
sigma(i) = sigmam * r_boundary(i)^orderbc;
{THqz$KN
ki = 1;
d`%M g&
facm=(2.0*epsr*epsz*ki-sigma(i)*dt);
/Ox)|) l
facp=(2.0*epsr*epsz*ki+sigma(i)*dt);
K2ew ucn
u \g ,.C0
C3ez(upml-i+2,:,:)=facm/facp;
6 bO; &
C3ez(ie_tot-upml+i,:,:)=facm/facp;
Ceg!w#8 Z,
C4ez(upml-i+2,:,:)=2*epsr*epsz/facp;
'HaD~pa
C4ez(ie_tot-upml+i,:,:)=2*epsr*epsz/facp;
{-WTV"L5*2
C5ey(upml-i+2,:,:)=facm/facp;
vVVPw?Ww-
C5ey(ie_tot-upml+i,:,:)=facm/facp;
3 QCVgo i\
C6ey(upml-i+2,:,:)=1.0/facp;
5 9 -!6;T
C6ey(ie_tot-upml+i,:,:)=1.0/facp;
edpW8eND
D5hx(upml-i+2,:,:)=facp;
. /m hu
D5hx(ie_tot-upml+i,:,:)=facp;
(3%t+aqq
D6hx(upml-i+2,:,:)=facm;
<qeCso
D6hx(ie_tot-upml+i,:,:)=facm;
+m /,,+4
MCYl{u H!
end
EW(J5/mn
]P1YHw9
% 以下可能大家看了有点迷惑，是在xp(x的正方向的pml层）中除了和sigmax有关的系数之外，
w *~Tm >U
% 其他不含sigmax的系数赋值。
DTY<0Q.
%xp
T V :<TR
C3ex(pxe:ie_tot,pys+1:pye-1,2:ke_tot)=C3;
<avQR 9'&
C4ex(pxe:ie_tot,pys+1:pye-1,2:ke_tot)=C4;
Pi l;/t)"
C5ex(pxe:ie_tot,2:je_tot,pzs+1:pze-1)=C5;
DW2>&|
C6ex(pxe:ie_tot,2:je_tot,pzs+1:pze-1)=C6;
A 's-'8m
q rBZvJU
C3ey(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=C3;
'`l K'5;
C4ey(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=C4;
!% S 4 n
C7ey(pxe:ie_tot,pys:pye-1,2:ke_tot)=C7;
(bm;*2
C8ey(pxe:ie_tot,pys:pye-1,2:ke_tot)=C8;
J8Z0D:5
N|dD !
C5ez(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=C5;
#`ejU &!6
C6ez(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=C6;
Qv{,wytyO
C7ez(pxe:ie_tot,2:je_tot,pzs:pze-1)=C7;
>. DC!QV
C8ez(pxe:ie_tot,2:je_tot,pzs:pze-1)=C8;
M_1;$fWq
PT]GJ<K/
D1hx(pxe:ie_tot,pys:pye-1,1:ke_tot)=D1;
_\zQ" y|G
D2hx(pxe:ie_tot,pys:pye-1,1:ke_tot)=D2;
ClQe4uo{
D3hx(pxe:ie_tot,1:je_tot,pzs:pze-1)=D3;
:uK btoA
D4hx(pxe:ie_tot,1:je_tot,pzs:pze-1)=D4;
<P4 FzK
O\Eqr?%L)
D1hy(pxe:ie_tot,2:je_tot,pzs:pze-1)=D1;
Y(VO.fVJK
D2hy(pxe:ie_tot,2:je_tot,pzs:pze-1)=D2;
jw>h k
D5hy(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=D5;
C`K^L=8`{
D6hy(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=D6;
AsxD}Nw[Z*
7"Mk+'
D3hz(pxe:ie_tot,pys:pye-1,2:ke_tot)=D3;
g22gIj]
D4hz(pxe:ie_tot,pys:pye-1,2:ke_tot)=D4;
\}dyS 8
D5hz(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=D5;
<z0WLw0'z
D6hz(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=D6;
*'8Ln tZf
Q5n`F5
% 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，
)K0i@hM(n
% 其他不含sigmax的系数赋值。
(Hp' B))2
%xn
/ q1s;I
C3ex(1:pxs-1,pys+1:pye-1,2:ke_tot)=C3;
=G${[V \
C4ex(1:pxs-1,pys+1:pye-1,2:ke_tot)=C4;
4Z5#F]OA7
C5ex(1:pxs-1,2:je_tot,pzs+1:pze-1)=C5;
>l5u54^3K
C6ex(1:pxs-1,2:je_tot,pzs+1:pze-1)=C6;
Ix 8$njp[
P&=lV}f
C3ey(2:pxs,1:je_tot,pzs+1:pze-1)=C3;
;y1Q6eN
C4ey(2:pxs,1:je_tot,pzs+1:pze-1)=C4;
G0d&@okbFC
C7ey(2:pxs,pys:pye-1,2:ke_tot)=C7;
%SA!p;
C8ey(2:pxs,pys:pye-1,2:ke_tot)=C8;
#R5U
ai-n z-;
C5ez(2:pxs,pys+1:pye-1,1:ke_tot)=C5;
k`VM2+9h'^
C6ez(2:pxs,pys+1:pye-1,1:ke_tot)=C6;
}Dfwm)]Q
C7ez(2:pxs,2:je_tot,pzs:pze-1)=C7;
0Y?H 0
C8ez(2:pxs,2:je_tot,pzs:pze-1)=C8;
mP^SS Je
+%#8k9Y
D1hx(2:pxs,pys:pye-1,1:ke_tot)=D1;
;Icixu'O
D2hx(2:pxs,pys:pye-1,1:ke_tot)=D2;
97` WMs
D3hx(2:pxs,1:je_tot,pzs:pze-1)=D3;
2 y8~#*O
D4hx(2:pxs,1:je_tot,pzs:pze-1)=D4;
q=5l4| 1
qVgd(?h J#
D1hy(1:pxs-1,2:je_tot,pzs:pze-1)=D1;
bB 6[Xj{
D2hy(1:pxs-1,2:je_tot,pzs:pze-1)=D2;
"(TkJ bwC[
D5hy(1:pxs-1,pys+1:pye-1,1:ke_tot)=D5;
SvuTc!$?
D6hy(1:pxs-1,pys+1:pye-1,1:ke_tot)=D6;
;Yts\4BSM
7P**:b
D3hz(1:pxs-1,pys:pye-1,2:ke_tot)=D3;
WES#ZYtT
D4hz(1:pxs-1,pys:pye-1,2:ke_tot)=D4;
kgW @RD|
D5hz(1:pxs-1,1:je_tot,pzs+1:pze-1)=D5;
wL{qD
D6hz(1:pxs-1,1:je_tot,pzs+1:pze-1)=D6;
4s. ]M>Yb
r<R4 1 Fz
% PEC walls
sqO< J$tz
% C3ez(1,:,:)=-1.0;
Poy^RpnX
% C3ez(ih_tot,:,:)=-1.0;
cxP&^,~
% C4ez(1,:,:)=0.0;
^& [+H8$
% C4ez(ih_tot,:,:)=0.0;
zG9|K
% C5ey(1,:,:)=-1.0;
qx)?buAij
% C5ey(ih_tot,:,:)=-1.0;
w *!wQ,o
% C6ey(1,:,:)=0.0;
p*qPcuAA
% C6ey(ih_tot,:,:)=0.0;
N4{nG,Mo ]
]z = =
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
0b-?q&*_
% y-varying material properties
w1^QD^K nH
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
W!la -n
delbc=upml*delta;
jna;0 )
sigmam=-log(rmax)*epsr*epsz*cc*(orderbc+1.0)/(2.0*delbc);
Q!'qC*Gyfn
% sigfactor=sigmam/(delta*(delbc^orderbc)*(orderbc+1.0));
FN87^.^2S
kmax=1.0;
!xK=#pa
kfactor=(kmax-1.0)/delta/(orderbc+1.0)/delbc^orderbc;
/@Y CA}|/
|m* .LTO
% Coefficients for field components in the center of the grid cell
Z" v<0]rN
r_center = ([1:upml] - 0.25)/upml;
'Pd(\$ZY
WlVl[/qt
for j=1:upml
Gi?_ujZ R
Fx W&8 9G
k*Nr!Z!}
% y1=(upml-j+1)*delta;
%J7UP4
% y2=(upml-j)*delta;
1~yZ T
% sigma=sigfactor*(y1^(orderbc+1)-y2^(orderbc+1));
`jsEN ;<
% ki=1+kfactor*(y1^(orderbc+1)-y2^(orderbc+1));
4^Rd{'mt
sigma(j) = sigmam * r_center(j)^orderbc;
@wN G
ki = 1;
\k@$~}xD,
facm=(2*epsr*epsz*ki-sigma(j)*dt);
"v]%3i.* -
facp=(2*epsr*epsz*ki+sigma(j)*dt);
gK1g]Tc @G
l*}FXL
C7ey(:,upml-j+1,:)=facp;
q 31>uF
C7ey(:,je_tot-upml+j,:)=facp;
B!S 167Op
C8ey(:,upml-j+1,:)=facm;
3Qn!y\#
C8ey(:,je_tot-upml+j,:)=facm;
B#l?IB~
D1hx(:,upml-j+1,:)=facm/facp;
= !2NU
D1hx(:,je_tot-upml+j,:)=facm/facp;
lP _db&
D2hx(:,upml-j+1,:)=2*epsr*epsz*dt/facp;
"Ij I'c
D2hx(:,je_tot-upml+j,:)=2*epsr*epsz*dt/facp;
"&o,yd%
D3hz(:,upml-j+1,:)=facm/facp;
c:4P%({
D3hz(:,je_tot-upml+j,:)=facm/facp;
%w}gzxN^
D4hz(:,upml-j+1,:)=1/facp/mur/muz;
TkR P3_b
D4hz(:,je_tot-upml+j,:)=1/facp/mur/muz;
D d $qQ
end
3vic(^Qh
4_=Ja2v8;`
% Coefficients for field components on the grid cell boundary
|D#2GeBw1h
OI/@3"L{
r_boundary = ([1:upml] - 0.75)/upml;
DSyXr~p8
`: |@Zln
for j=1:upml
&xd.Qi2
%y1=(upml-j+1.5)*delta;
y I;"9 G
%y2=(upml-j+0.5)*delta;
-"TR\/
%sigma=sigfactor*(y1^(orderbc+1)-y2^(orderbc+1));
?u$u?j|N
%ki=1+kfactor*(y1^(orderbc+1)-y2^(orderbc+1));
OSDy'@
sigma(j) = sigmam * r_boundary(j)^orderbc;
S\x=&R z
ki = 1;
!DXNo(:r
facm=(2*epsr*epsz*ki-sigma(j)*dt);
IApT'QNM
facp=(2*epsr*epsz*ki+sigma(j)*dt);
HEF?mD3h
J7$_VP
C3ex(:,upml-j+2,:)=facm/facp;
.qD@ Y3-
C3ex(:,je_tot-upml+j,:)=facm/facp;
;`j/D@H
C4ex(:,upml-j+2,:)=2*epsr*epsz/facp;
+s[\g>i
C4ex(:,je_tot-upml+j,:)=2*epsr*epsz/facp;
{E_{JB~`
C5ez(:,upml-j+2,:)=facm/facp;
3=.Y,ENM;
C5ez(:,je_tot-upml+j,:)=facm/facp;
ZCui Fm
C6ez(:,upml-j+2,:)=1/facp;
<z)m%*l vU
C6ez(:,je_tot-upml+j,:)=1/facp;
7[#xOZT
D5hy(:,upml-j+2,:)=facp;
MZ4c{@Tg
D5hy(:,je_tot-upml+j,:)=facp;
't (O$
D6hy(:,upml-j+2,:)=facm;
6^F '|Wh
D6hy(:,je_tot-upml+j,:)=facm;
)P Jw+5
4ne5=YY *
end
p .K*UP
0D&> Gyc*0
%yp y的正方向
wa09$4>_w
C5ex(1:ie_tot,pye:je_tot,pzs+1:pze-1)=C5;
#%,RJMv
C6ex(1:ie_tot,pye:je_tot,pzs+1:pze-1)=C6;
:}}%#/nd
C7ex(pxs:pxe-1,pye:je_tot,2:ke_tot)=C7;
eVz#7vqv
C8ex(pxs:pxe-1,pye:je_tot,2:ke_tot)=C8;
!PU ZWO
HIc a nk
C3ey(2:ie_tot,pye:je_tot,pzs+1:pze-1)=C3;
+Ic ~ f1zh
C4ey(2:ie_tot,pye:je_tot,pzs+1:pze-1)=C4;
C*kK)6v `
C5ey(pxs+1:pxe-1,pye:je_tot,2:ke_tot)=C5;
qYB~VE03
C6ey(pxs+1:pxe-1,pye:je_tot,2:ke_tot)=C6;
` }gbc 69
/R8p]
C3ez(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=C3;
1T|$BK@)
C4ez(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=C4;
a:rX9-**
C7ez(2:ie_tot,pye:je_tot,pzs:pze-1)=C7;
=\kMXB
C8ez(2:ie_tot,pye:je_tot,pzs:pze-1)=C8;
]ya; v '
hsNWqk qys
D3hx(2:ie_tot,pye:je_tot,pzs:pze-1)=D3;
%:9oD K
D4hx(2:ie_tot,pye:je_tot,pzs:pze-1)=D4;
3{7T 4p.G
D5hx(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=D5;
al^!,ykc
D6hx(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=D6;
}d Ad$^
Wr~yK? : ]
D1hy(1:ie_tot,pye:je_tot,pzs:pze-1)=D1;
.T B"eUy
D2hy(1:ie_tot,pye:je_tot,pzs:pze-1)=D2;
b~Y%gC)FR
D3hy(pxs:pxe-1,pye:je_tot,1:ke_tot)=D3;
:z"!k zdJ
D4hy(pxs:pxe-1,pye:je_tot,1:ke_tot)=D4;
Xq#Y*lKVD
hwnJE958L
D1hz(pxs:pxe-1,pye:je_tot,2:ke_tot)=D1;
NTs7 KSgZ
D2hz(pxs:pxe-1,pye:je_tot,2:ke_tot)=D2;
`#s#it'y
D5hz(1:ie_tot,pye:je_tot,pzs+1:pze-1)=D5;
7L(e h7
D6hz(1:ie_tot,pye:je_tot,pzs+1:pze-1)=D6;
U. 0kR/>Z=
n> w`26MMp
%yn y的负方向
E#%}ZY
C5ex(1:ie_tot,2:pys,pzs+1:pze-1)=C5;
ii| ? ;
C6ex(1:ie_tot,2:pys,pzs+1:pze-1)=C6;
EMvHFu
C7ex(pxs:pxe-1,2:pys,2:ke_tot)=C7;
ixfdO\nU
C8ex(pxs:pxe-1,2:pys,2:ke_tot)=C8;
]/2T\w.<
!7p}C-RZp
C3ey(2:ie_tot,1:pys-1,pzs+1:pze-1)=C3;
kPxT" " k
C4ey(2:ie_tot,1:pys-1,pzs+1:pze-1)=C4;
epD?K
C5ey(pxs+1:pxe-1,1:pys-1,2:ke_tot)=C5;
$K}DB N; 4
C6ey(pxs+1:pxe-1,1:pys-1,2:ke_tot)=C6;
;/O#4]2*
m\u26 ` M
C3ez(pxs+1:pxe-1,2:pys,1:ke_tot)=C3;
`FF8ie 8L
C4ez(pxs+1:pxe-1,2:pys,1:ke_tot)=C4;
Rd&9E
C7ez(2:ie_tot,2:pys,pzs:pze-1)=C7;
QV|>4 ^1D
C8ez(2:ie_tot,2:pys,pzs:pze-1)=C8;
S]/b\ B.h+
2?7(A
D3hx(2:ie_tot,1:pys-1,pzs:pze-1)=D3;
a$11PBi[9
D4hx(2:ie_tot,1:pys-1,pzs:pze-1)=D4;
Gs0H@
D5hx(pxs+1:pxe-1,1:pys-1,1:ke_tot)=D5;
uXZg1 F)
D6hx(pxs+1:pxe-1,1:pys-1,1:ke_tot)=D6;
h) (* q+a
7 h=QW 5
D1hy(1:ie_tot,2:pys,pzs:pze-1)=D1;
%Q"(/jm?
D2hy(1:ie_tot,2:pys,pzs:pze-1)=D2;
(GK pA}~R
D3hy(pxs:pxe-1,2:pys,1:ke_tot)=D3;
dbdM "z 4
D4hy(pxs:pxe-1,2:pys,1:ke_tot)=D4;
0JyVNuHn
rfcN/:k
D1hz(pxs:pxe-1,1:pys-1,2:ke_tot)=D1;
Jl<ns ,Zg
D2hz(pxs:pxe-1,1:pys-1,2:ke_tot)=D2;
{<$b Aj
D5hz(1:ie_tot,1:pys-1,pzs+1:pze-1)=D5;
)q~DTR^z-
D6hz(1:ie_tot,1:pys-1,pzs+1:pze-1)=D6;
[j,txe?n
>7Jr^o#|_x
% PEC walls
r4}*l 7Q
% C3ex(:,1,:)=-1;
0?Q_@Y
% C3ex(:,jh_tot,:)=-1;
u0s8yPA
% C4ex(:,1,:)=0;
qi[Z,&
% C4ex(:,jh_tot,:)=0;
L1m{]> {-
% C5ez(:,1,:)=-1;
^ -)txC5{T
% C5ez(:,jh_tot,:)=-1;
]c)_&{:V
% C6ez(:,1,:)=0;
k;y w#Af8
% C6ez(:,jh_tot,:)=0;
9/o vKpY
c "= N
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
P A;6$vqX
% z-varying material properties
5r,r%{@K
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
afEF] i
"h"NW [R
delbc=upml*delta;
"j<bA 8$Vw
sigmam=-log(rmax)*epsr*epsz*cc*(orderbc+1)/(2*delbc);
-1| iz2^N
%sigfactor=sigmam/(delta*(delbc^orderbc)*(orderbc+1));
O~Wt600{E
kmax=1;
\[:/CxP
kfactor=(kmax-1)/delta/(orderbc+1)/delbc^orderbc;
|AhF7Mj *
< B g8,;
% Coefficients for field components in the center of the grid cell
_Q(g(p&
:\ QUs}
r_center = ([1:upml] - 0.25)/upml;
( <*e
for k=1:upml
N!&:rK
KP"%Rm`XN
%z1=(upml-k+1)*delta;
T? , P *l
%z2=(upml-k)*delta;
i{c@S:&@^
%sigma=sigfactor*(z1^(orderbc+1)-z2^(orderbc+1));
Cr ? 4Ng w
%ki=1+kfactor*(z1^(orderbc+1)-z2^(orderbc+1));
k0z& v <
sigma(k) = sigmam * r_center(k)^orderbc;
wNJzwC&iQ
ki = 1;
"B7`'jz
facm=(2*epsr*epsz*ki-sigma(k)*dt);
<W)u{KS#TY
facp=(2*epsr*epsz*ki+sigma(k)*dt);
zy'D!db`Z
n'FwM\
C7ez(:,:,upml-k+1)=facp;
jvy$t$az
C7ez(:,:,ke_tot-upml+k)=facp;
z;\d L
C8ez(:,:,upml-k+1)=facm;
nR;D#"p%
C8ez(:,:,ke_tot-upml+k)=facm;
Q4* -wF-P
D1hy(:,:,upml-k+1)=facm/facp;
C#pZw [
D1hy(:,:,ke_tot-upml+k)=facm/facp;
"`Ge~N[$A
D2hy(:,:,upml-k+1)=2*epsr*epsz*dt/facp;
RI n9(r
D2hy(:,:,ke_tot-upml+k)=2*epsr*epsz*dt/facp;
_Xcn N:Rt
D3hx(:,:,upml-k+1)=facm/facp;
Y k7-`
D3hx(:,:,ke_tot-upml+k)=facm/facp;
=}!Mf'
D4hx(:,:,upml-k+1)=1/facp/mur/muz;
7 Cqcb>\X
D4hx(:,:,ke_tot-upml+k)=1/facp/mur/muz;
|J5 =J
9O*_L:4o
end
O\KQl0*l\\
; 0v>Rf a
'T=~jA7SkT
% Coefficients for field components on the grid cell boundary
)v4b
r_boundary = ([1:upml] - 0.75)/upml;
\00DqL(Oj`
for k=1:upml
cE' L% Z
%z1=(upml-k+1.5)*delta;
^L4Qbc(vJ
%z2=(upml-k+0.5)*delta;
{Lz H&qu
%sigma=sigfactor*(z1^(orderbc+1)-z2^(orderbc+1));
po9 9 y-
%ki=1+kfactor*(z1^(orderbc+1)-z2^(orderbc+1));
nKr9#JebRC
sigma(k) = sigmam * r_boundary(k)^orderbc;
KW^<,qt5w
ki = 1;
}G <T :(a
facm=(2*epsr*epsz*ki-sigma(k)*dt);
13'vH]S$M
facp=(2*epsr*epsz*ki+sigma(k)*dt);
^Z DBO/
u6u=2
C3ey(:,:,upml-k+2)=facm/facp;
SO\/-]9#
C3ey(:,:,ke_tot-upml+k)=facm/facp;
`6Qdfmk=
C4ey(:,:,upml-k+2)=2*epsr*epsz/facp;
-Y 9SngxM
C4ey(:,:,ke_tot-upml+k)=2*epsr*epsz/facp;
9Z"+?bv/
C5ex(:,:,upml-k+2)=facm/facp;
eW'2AT?2H%
C5ex(:,:,ke_tot-upml+k)=facm/facp;
qml2XJ>
C6ex(:,:,upml-k+2)=1/facp;
/t<@"BoV
C6ex(:,:,ke_tot-upml+k)=1/facp;
?L) !pP]
D5hz(:,:,upml-k+2)=facp;
i+3fhV
D5hz(:,:,ke_tot-upml+k)=facp;
+k<w!B*
D6hz(:,:,upml-k+2)=facm;
U5HKRO
D6hz(:,:,ke_tot-upml+k)=facm;
[%A 4]QzWh
>ydRSr^
end
t `'iU$:1f
lK'Rn~
@wmi 5oExc
\VMD$zZx
RC#C\S6
%zp z的正方向
b,TiMf9},h
C7ex(pxs:pxe-1,2:je_tot,pze:ke_tot)=C7;
zh I#f0c
C8ex(pxs:pxe-1,2:je_tot,pze:ke_tot)=C8;
}ArpPU :]
C3ex(1:ie_tot,pys+1:pye-1,pze:ke_tot)=C3;
t+r:"bb
C4ex(1:ie_tot,pys+1:pye-1,pze:ke_tot)=C4;
-5l6&Y
)D-c]+yt
C5ey(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=C5;
SAV%4
C6ey(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=C6;
C Wo1.pV w
C7ey(2:ie_tot,pys:pye-1,pze:ke_tot)=C7;
NG&_?| OmV
C8ey(2:ie_tot,pys:pye-1,pze:ke_tot)=C8;
.9[45][FK
M6r^L6$N
C5ez(2:ie_tot,pys+1:pye-1,pze:ke_tot)=C5;
H5cV5E0
C6ez(2:ie_tot,pys+1:pye-1,pze:ke_tot)=C6;
-D^A: }$
C3ez(pxs+1:pxe-1,2:je_tot,pze:ke_tot)=C3;
r\6"5cQ=
C4ez(pxs+1:pxe-1,2:je_tot,pze:ke_tot)=C4;
j9+I0>#X
w2O!M!1
D1hx(2:ie_tot,pys:pye-1,pze:ke_tot)=D1;
Lw7=+h)
D2hx(2:ie_tot,pys:pye-1,pze:ke_tot)=D2;
o\otgyoh
D5hx(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=D5;
9Mp$8-=>7
D6hx(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=D6;
'' OfS D_g
5v\!]?(O ;
D3hy(pxs:pxe-1,2:je_tot,pze:ke_tot)=D3;
(m[bWdANnW
D4hy(pxs:pxe-1,2:je_tot,pze:ke_tot)=D4;
UM*jKi2]"
D5hy(1:ie_tot,pys+1:pye-1,pze:ke_tot)=D5;
s^OO^%b
D6hy(1:ie_tot,pys+1:pye-1,pze:ke_tot)=D6;
XZNY4/ 25G
|H}m 4-+*
D1hz(pxs:pxe-1,1:je_tot,pze:ke_tot)=D1;
5l-mW0,MK
D2hz(pxs:pxe-1,1:je_tot,pze:ke_tot)=D2;
sd#|3
D3hz(1:ie_tot,pys:pye-1,pze:ke_tot)=D3;
vP@v.6gS,
D4hz(1:ie_tot,pys:pye-1,pze:ke_tot)=D4;
}V;+l8
^I6^ g
%zn z的负方向
]'~v I/p
C7ex(pxs:pxe-1,2:je_tot,2:pzs)=C7;
Z BUArIC
C8ex(pxs:pxe-1,2:je_tot,2:pzs)=C8;
` ~U ZU@/x
C3ex(1:ie_tot,pys+1:pye-1,2:pzs)=C3;
sAJ7R(p
C4ex(1:ie_tot,pys+1:pye-1,2:pzs)=C4;
I:V0Xxz5t
)&{K~i ;:
C5ey(pxs+1:pxe-1,1:je_tot,2:pzs)=C5;
dBV7Te4L
C6ey(pxs+1:pxe-1,1:je_tot,2:pzs)=C6;
5F|8?BkOL^
C7ey(2:ie_tot,pys:pye-1,2:pzs)=C7;
,5Pl\ keY
C8ey(2:ie_tot,pys:pye-1,2:pzs)=C8;
BElJB&I
{+<P:jbz;
C5ez(2:ie_tot,pys+1:pye-1,1:pzs-1)=C5;
6 &Juv
C6ez(2:ie_tot,pys+1:pye-1,1:pzs-1)=C6;
fEE /-}d
C3ez(pxs+1:pxe-1,2:je_tot,1:pzs-1)=C3;
88"Sai
C4ez(pxs+1:pxe-1,2:je_tot,1:pzs-1)=C4;
gnp~OVDqfL
+|Hioq* ,t
D1hx(2:ie_tot,pys:pye-1,1:pzs-1)=D1;
dUznxZB
D2hx(2:ie_tot,pys:pye-1,1:pzs-1)=D2;
M~*u;vA/
D5hx(pxs+1:pxe-1,1:je_tot,1:pzs-1)=D5;
~n')&u{
D6hx(pxs+1:pxe-1,1:je_tot,1:pzs-1)=D6;
\ o-&f:
raVA?|'g~
D3hy(pxs:pxe-1,2:je_tot,1:pzs-1)=D3;
7`IpBm<
D4hy(pxs:pxe-1,2:je_tot,1:pzs-1)=D4;
e pCLM_yA
D5hy(1:ie_tot,pys+1:pye-1,1:pzs-1)=D5;
I V%VU
D6hy(1:ie_tot,pys+1:pye-1,1:pzs-1)=D6;
w=h1pwY
ajRSMcKb7i
D1hz(pxs:pxe-1,1:je_tot,2:pzs)=D1;
Z}A%=Z\/3
D2hz(pxs:pxe-1,1:je_tot,2:pzs)=D2;
mV73 \P6K
D3hz(1:ie_tot,pys:pye-1,2:pzs)=D3;
8mLP5s!7
D4hz(1:ie_tot,pys:pye-1,2:pzs)=D4;
{K{EOB_ u
9z;HsU v
Cd 79 tu|
SQ,?N XZ
g[>\4B9t
% PEC walls
I2$T"K :eo
% C3ey(:,:,1)=-1;
t%zpNd2lk
% C3ey(:,:,kh_tot)=-1;
b*fgv9Kh'
% C4ey(:,:,1)=0;
F;lI+^}}
% C4ey(:,:,kh_tot)=0;
8 #X5K
% C5ex(:,:,1)=-1;
I|-p3g8\
% C5ex(:,:,kh_tot)=-1;
@pI5lh
% C6ex(:,:,1)=0;
H xV#WoYKj
% C6ex(:,:,kh_tot)=0;
x6afI<dm
j6~nE'sQ
%figure
zOEY6lAwI
%set(gcf,'DoubleBuffer','on')
Q(d9n 8
%B 5r"=oO
%***********************************************************************
o~FRF0f*VP
% Begin time stepping loop
@=]~\[e\
%***********************************************************************
~1m2#>
R8L_J6Kpa
for n=1:nmax
u JR%0 E7!
U`Jy!x2m
% Update magnetic field
.O*bILU
bstore=bx;
)4?x5#
bx(2:ie_tot,:,:)=D1hx(2:ie_tot,:,:).* bx(2:ie_tot,:,:)-...
X.K<4N0A9J
D2hx(2:ie_tot,:,:).*((ez(2:ie_tot,2:jh_tot,:)-ez(2:ie_tot,1:je_tot,:))-...
\7MHaQvS
(ey(2:ie_tot,:,2:kh_tot)-ey(2:ie_tot,:,1:ke_tot)))./delta;
+#b:d=v!
hx(2:ie_tot,:,:)= D3hx(2:ie_tot,:,:).*hx(2:ie_tot,:,:)+...
) yY6rI;:
D4hx(2:ie_tot,:,:).*(D5hx(2:ie_tot,:,:).*bx(2:ie_tot,:,:)-...
`s '#
D6hx(2:ie_tot,:,:).*bstore(2:ie_tot,:,:));
Dlo xrdOY&
bstore=by;
5WqXo{S
by(:,2:je_tot,:)=D1hy(:,2:je_tot,:).* by(:,2:je_tot,:)-...
B()/.w?A
D2hy(:,2:je_tot,:).*((ex(:,2:je_tot,2:kh_tot)-ex(:,2:je_tot,1:ke_tot))-...
t#nn@Yf
(ez(2:ih_tot,2:je_tot,:)-ez(1:ie_tot,2:je_tot,:)))./delta;
iV FkYx%}
hy(:,2:je_tot,:)= D3hy(:,2:je_tot,:).*hy(:,2:je_tot,:)+...
JxLf? ad.
D4hy(:,2:je_tot,:).*(D5hy(:,2:je_tot,:).*by(:,2:je_tot,:)-...
b 6t}{_7
D6hy(:,2:je_tot,:).*bstore(:,2:je_tot,:));
b5m=7;u*h
bstore=bz;
p2J|Hl|
bz(:,:,2:ke_tot)=D1hz(:,:,2:ke_tot).* bz(:,:,2:ke_tot)-...
]`g <w#
D2hz(:,:,2:ke_tot).*((ey(2:ih_tot,:,2:ke_tot)-ey(1:ie_tot,:,2:ke_tot))-...
"x941 }
(ex(:,2:jh_tot,2:ke_tot)-ex(:,1:je_tot,2:ke_tot)))./delta;
mDGn:oRj
hz(:,:,2:ke_tot)= D3hz(:,:,2:ke_tot).*hz(:,:,2:ke_tot)+...
cw&Hgjj2
D4hz(:,:,2:ke_tot).*(D5hz(:,:,2:ke_tot).*bz(:,:,2:ke_tot)-...
aw ?=hXR!
D6hz(:,:,2:ke_tot).*bstore(:,:,2:ke_tot));
y~ G.V,0
=Cv/Y%DN
% PEC on the PML outer boundary
6~#Ih)K
Uw-p758dD
% tangential ex=0 on front-back plane
N4;7gSc"
ex(:,1,:)=0.0;
k *R<,
ex(:,jh_tot,:)=0.0;
}pkj:NT
M@P 1, Y
% tangential ex=0 on down-up plane
0w'j+
ex(:,:,1)=0.0;
]J9cVp
ex(:,:,kh_tot)=0.0;
4`N t{
zL5d0_E9
lT\a2.E
% tangential ey=0 on left-right plane
?6c-7QV
ey(1,:,:)=0.0;
!|2VWI}
ey(ih_tot,:,:)=0.0;
} B396 X
]fnnZ
I9o6k?$K
% tangential ey=0 on down-up plane
NVIK>cT6
ey(:,:,1)=0.0;
(v R 9H(#
ey(:,:,kh_tot)=0.0;
4E8JT#&
4RKW
'tN25$=V&W
% tangential ez=0 on left-right plane
\^1+U JU
ez(1,:,:)=0.0;
vN4Qd pdb
ez(ih_tot,:,:)=0.0;
z PEg
o }Tz"bN
& Gm$:T'~
% tangential ez=0 on front-back plane
d"G+8}.4
ez(:,1,:)=0.0;
E ^_w I>
ez(:,jh_tot,:)=0.0;
+ SZYg[
Ae^X35
% Update electric field
^1:U'jIXO
/$n ~lf
p1store=px1;
41#w|L \
px1(:,2:je_tot,2:ke_tot)=C1ex(:,2:je_tot,2:ke_tot).* px1(:,2:je_tot,2:ke_tot)+...
EzW)'Zzw~
C2ex(:,2:je_tot,2:ke_tot).*((hz(:,2:je_tot,2:ke_tot)-hz(:,1:je_tot-1,2:ke_tot))-...
eMOD;{Q?X
( hy(:,2:je_tot,2:ke_tot)-hy(:,2:je_tot,1:ke_tot-1)))./delta;
#{r#;+
p2store=px2;
ES <1tG
px2(:,2:je_tot,2:ke_tot)=C3ex(:,2:je_tot,2:ke_tot).* px2(:,2:je_tot,2:ke_tot)+...
t3Z_Dp~\
C4ex(:,2:je_tot,2:ke_tot).*( px1(:,2:je_tot,2:ke_tot)-...
J68j=`Y
p1store(:,2:je_tot,2:ke_tot));
b1pQ`q t
O_$d I*RK
ex(:,2:je_tot,2:ke_tot)=C5ex(:,2:je_tot,2:ke_tot).* ex(:,2:je_tot,2:ke_tot)+...
-K(fh#<6KO
C6ex(:,2:je_tot,2:ke_tot).*(C7ex(:,2:je_tot,2:ke_tot).* px2(:,2:je_tot,2:ke_tot)-...
WqxUX H
C8ex(:,2:je_tot,2:ke_tot).*p2store(:,2:je_tot,2:ke_tot));
*O:r7_ Y0
3QI?[R.
p1store=py1;
W$JebW<z(
py1(2:ie_tot,:,2:ke_tot)=C1ey(2:ie_tot,:,2:ke_tot).* py1(2:ie_tot,:,2:ke_tot)+...
: "6q, W
C2ey(2:ie_tot,:,2:ke_tot).*((hx(2:ie_tot,:,2:ke_tot)-hx(2:ie_tot,:,1:ke_tot-1))-...
n}A\2 bO
( hz(2:ie_tot,:,2:ke_tot)-hz(1:ie_tot-1,:,2:ke_tot)))./delta;
UE _fpq
p2store=py2;
4fh^[\
py2(2:ie_tot,:,2:ke_tot)=C3ey(2:ie_tot,:,2:ke_tot).* py2(2:ie_tot,:,2:ke_tot)+...
= k}SD96
C4ey(2:ie_tot,:,2:ke_tot).*( py1(2:ie_tot,:,2:ke_tot)-...
I t_M@
p1store(2:ie_tot,:,2:ke_tot));
?#0sn lah|
~mV"i7VX
ey(2:ie_tot,:,2:ke_tot)=C5ey(2:ie_tot,:,2:ke_tot).* ey(2:ie_tot,:,2:ke_tot)+...
[w -{r+[
C6ey(2:ie_tot,:,2:ke_tot).*(C7ey(2:ie_tot,:,2:ke_tot).* py2(2:ie_tot,:,2:ke_tot)-...
TUL_TR
C8ey(2:ie_tot,:,2:ke_tot).*p2store(2:ie_tot,:,2:ke_tot));
53 QfTP
*KK+X07
p1store=pz1;
}14 {2=!Q
pz1(2:ie_tot,2:je_tot,:)=C1ez(2:ie_tot,2:je_tot,:).* pz1(2:ie_tot,2:je_tot,:)+...
NT%W;)6m9
C2ez(2:ie_tot,2:je_tot,:).*((hy(2:ie_tot,2:je_tot,:)-hy(1:ie_tot-1,2:je_tot,:))-...
w.Ezg j
( hx(2:ie_tot,2:je_tot,:)-hx(2:ie_tot,1:je_tot-1,:)))./delta;
z s Qo$p
p2store=pz2;
"HD+rm UEH
pz2(2:ie_tot,2:je_tot,:)=C3ez(2:ie_tot,2:je_tot,:).* pz2(2:ie_tot,2:je_tot,:)+...
-B#y y ]8
C4ez(2:ie_tot,2:je_tot,:).*( pz1(2:ie_tot,2:je_tot,:)-...
"T h$#3
p1store(2:ie_tot,2:je_tot,:));
h9 $ Fx
v ]2S`ffP
pz2(is,js,ks:ks+1)=pz2(is,js,ks:ks+1)+exp(-((n-4.5*tau/dt)^2/(tau/dt)^2));
0Q1FL MLV
4vK8kkW1
ez(2:ie_tot,2:je_tot,:)=C5ez(2:ie_tot,2:je_tot,:).* ez(2:ie_tot,2:je_tot,:)+...
s"=6{EVqk3
C6ez(2:ie_tot,2:je_tot,:).*(C7ez(2:ie_tot,2:je_tot,:).* pz2(2:ie_tot,2:je_tot,:)-...
Dz!fpE'L
C8ez(2:ie_tot,2:je_tot,:).*p2store(2:ie_tot,2:je_tot,:));
k<w(i k1bi
kH*P n'
f0+2t.tj
% pz2(is,js,ks:ks+1)=pz2(is,js,ks:ks+1)+(sin(pi*(n-ndelay)/(tau-ndelay)))^2;
*fO3]+)d+
% pz2(is,js,ks:ks+1)=pz2(is,js,ks:ks+1)+J0*(n-ndelay)*exp(-((n-ndelay)^2/tau^2));
z^o 1GY
uBg 8h{>
% pz2(is,js,ks:ks+1)=J0*(n-ndelay)*exp(-((n-ndelay)^2/tau^2));
Gy1xG.yM~
% pz2(is,js,ks:ks+1)=pz2(is,js,ks:ks+1)+sin(2*pi*freq*n);
@/ J [t
I~PDaZP
n;
8pM>Co!
%ex(15,15,15)
aI zv
%***********************************************************************
]"AyAkT(
% Visualize fields
r%wA&FQ8U
%***********************************************************************
v,NHQyk
smooth(ex(:,15,15));
{-9jm%N
surfl(ex(:,:,15));
`\=Gp'&Q+
colorbar;
_ |<d5TI
pause(0.1);
B bhfG64
disp('ex()=');
"%WgT2)m.
disp(ex(15,15,15));
-7WW[ w
AA(n)=ex(15,15,15);
w&Dv8Wv+Oq
v8>v.}y
% timestep=int2str(n);
@J[6,$UVu
% tview(:,:)=squeeze(ez(ih_bc:upml+ie,jh_bc:upml+je,ks));
|1Dc!V'?"
% sview(:,:)=squeeze(ez(ih_bc:upml+ie,js,kh_bc:upml+ke));
< (RC|?
%
SEQ%'E5-'
% subplot('position',[0.15 0.57 0.7 0.35])
8$ xPex~2
% imagesc(tview');
#L crI
% caxis([-0.2 0.2]);
e"-X U@`k1
% colorbar;
[\)oo
% axis image; axis xy;
#Z =tJ
% title(['E_z(i,j,k=k_s_o_u_r_c_e), time step = ',timestep]);
K*K1(_x=
% xlabel('i coordinate');
hlvt$Jwq
% ylabel('j coordinate');
LCXO>MXN
%
39 e;
% subplot('position',[0.15 0.08 0.7 0.35])
<Y 4:'L6
% imagesc(sview');
8B!aO/Km
% caxis([-0.2 0.2]);
wYeB)1.
% colorbar;
lJykyyCY+
% axis image; axis xy;
MFJE6ei
% title(['E_z(i,j=j_s_o_u_r_c_e,k), time step = ',timestep]);
`|1M lRM9
% xlabel('i coordinate');
y$ Zj?D d#
% ylabel('k coordinate');
N) R[6u }
%
!=Y;h[J.p
% pause(0.05)
n9LGP2#!
fnzy5+9"
GYRYbiwqdi
m(D]qYw h
end
BOlAm*tFt
T=(1:1:nmax);
vY6W| <s
figure(2);
lw8"'0
plot(T,AA);
J.*XXM- V
xlabel('Timestep');
(lA.3 4.p
ylabel('ex');
nR \' [~+
{TSY|D2
clear
Eu@5L9A
Q>}2cDl
%***********************************************************************
{!ZyCi19
% Fundamental constants
4}v@C|.p
%***********************************************************************
!.-tW7
C DMfa&;T
cc=2.99792458e8;
#$S}3 o
muz=4.0*pi*1.0e-7;
ofc.zwH
epsz=1.0/(cc*cc*muz);
*#>F.#9
etaz=sqrt(muz/epsz);
$<@\-vYvr@
sigma_e=0.0; %主区域的电导率（不是upml中那个电导率）
v|Jlf$>
oR+-+-? ?$
%***********************************************************************
B,$l4m4
% Material parameters
hVoNw6fE
%***********************************************************************
#~:P}<h
n_[i0x7#
mur=1.0;
hPm>tV2X
epsr=80;
W@L3+4
freq=20000;
a+41|)pt
eta=etaz*sqrt(mur/epsr); %
/%x7+Rl\-^
wWW~_zP0
c=1/sqrt(epsr*epsz*muz*mur);
R5Yl 1
%***********************************************************************
V+MK'<#B
% Grid parameters
.;/L2Jv
%
`&7RMa4=
% Each grid size variable name describes the number of sampled points
hp!d/X=J_
% for a particular field component in the direction of that component.
4Wel[]
% Additionally, the variable names indicate the region of the grid
?4t-caK^u
% for which the dimension is relevant. For example, ie_tot is the
|fsm8t <~8
% number of sample points of Ex along the x-axis in the total
-xmf'c9P
% computational grid, and jh_bc is the number of sample points of Hy
={(j`VSUX0
% along the y-axis in the y-normal UPML regions.
H! r &aP
%
2F_ R/{D
%***********************************************************************
HP2wtN{Zs
bPD)D'Hs
_v5t<_^N
%是一个三维立方体空间，60*60*60（已经包括了厚度为10的upml层）
Q ~|R Z7G
Rz <OF^Iy
0O@_ c W
ie=40; % Size of main grid
#m. AN
je=40;
A;K(J4y*
ke=40;
_]#klL
ih=ie+1;
Qez SJ io
jh=je+1;
^t. W|teD
kh=ke+1;
=6 %|?5G
SQ(apc}N4
upml=10; % Thickness of PML boundaries
<dR,'
ih_bc=upml+1;
uK*|2U6t
jh_bc=upml+1;
~&G4)AM
kh_bc=upml+1;
x2wg^$F*oO
G"s0GpvQ
ie_tot=ie+2*upml; % Size of total computational domain
64ox jF)
je_tot=je+2*upml;
a_T,t' 6
ke_tot=ke+2*upml;
M8W# io
ih_tot=ie_tot+1;
7Ur?e p
jh_tot=je_tot+1;
wvc>0?t '
kh_tot=ke_tot+1;
x/TGp?\g
AY2:[ 5cm
pxs = 11;
9w ~cvlv[
pys = 11;
60B-ay0e$b
pzs = 11;
i s"vekC
_+QwRE P
pxe = 51;
ma8wmQ9 JR
pye = 51;
LVtu*k
pze = 51;
:x eLt;
R"xp%:li
is=round(ih_tot/2); % Location of z-directed current source
a% ,fXp>
js=round(jh_tot/2);
9w^zY ;Y
ks=round(ke_tot/2);
y%(X+E"n*
W? ,$!]0
%***********************************************************************
83;IyvbL
% Fundamental grid parameters
D5]{2z}k
%***********************************************************************
<&#+ E%E4
6v z1*\:H~
delta= 83.794539403718844;
"e62/Ejg%
dt=0.9./sqrt(3.0./delta./delta)./c;
P;91~``b-
%dt=delta*sqrt(epsr*mur)/(2.0*cc);
;b~~s.+
%dt=delta*0.5/c;
/)#8)"`nT
nmax=200;
+cg {[f,J;
:X>DkRP
%***********************************************************************
b](o]O{v
% Differentiated Gaussian pulse excitation
q(]f]Vl|0
%***********************************************************************
>]$aoA#
+$pJ5+v
rtau=50.0e-12;
6 DP[g8
%tau=rtau/dt;
av' *u
tau = 20*delta/2/c;
H~9=&p[ Q
ndelay=3*tau;
3 ]}'TA`v
J0=-1.0*epsz;
F-0UdV
9U<Hf32
%***********************************************************************
Ti= 3y497S
% Initialize field arrays
#}o<v|;
%***********************************************************************
-CBD|fo[h
T0 |H9>M
ex =zeros(ie_tot,jh_tot,kh_tot);
F,}s$ v
px1=zeros(ie_tot,jh_tot,kh_tot);
g()m/KS<
px2=zeros(ie_tot,jh_tot,kh_tot);
jM U9{Si
I6dm@{/:>
ey= zeros(ih_tot,je_tot,kh_tot);
"DckwtG :%
py1=zeros(ih_tot,je_tot,kh_tot);
} p'8 w\C$
py2=zeros(ih_tot,je_tot,kh_tot);
J/Q|uRpmqr
gg]~2f
ez= zeros(ih_tot,jh_tot,ke_tot);
#ooc)) ,
pz1=zeros(ih_tot,jh_tot,ke_tot);
T bNGgjT
pz2=zeros(ih_tot,jh_tot,ke_tot);
!Yh}H<w0
K3ukY R
hx=zeros(ih_tot,je_tot,ke_tot);
?SX_gYe9
hy=zeros(ie_tot,jh_tot,ke_tot);
])$S\fFm
hz=zeros(ie_tot,je_tot,kh_tot);
UC!5 wVY
bx=zeros(ih_tot,je_tot,ke_tot);
RO oE%% 8I
by=zeros(ie_tot,jh_tot,ke_tot);
J?jeYW
bz=zeros(ie_tot,je_tot,kh_tot);
'j7 9GC0
- V=arm\#z
%***********************************************************************
N lt4 )
% Initialize update coefficient arrays
h([0,:\
%***********************************************************************
a! t V6H
% 系数矩阵
njMLyT($
C1ex=zeros(size(ex));
9*p G?3*I
C2ex=zeros(size(ex));
p.Y$A if.
C3ex=zeros(size(ex));
?0J0I j,
C4ex=zeros(size(ex));
a$+#V=b A
C5ex=zeros(size(ex));
xH$%5@~
C6ex=zeros(size(ex));
9~Xg#{
C7ex=zeros(size(ex));
u%opY<h
C8ex=zeros(size(ex));
Z=9dMND
, L% p
C1ey=zeros(size(ey));
2LhE]O(_"
C2ey=zeros(size(ey));
XiG88Kwv
C3ey=zeros(size(ey));
yiT{+;g^
C4ey=zeros(size(ey));
% 0v *n8
C5ey=zeros(size(ey));
t<lyg0f
C6ey=zeros(size(ey));
lG]GlgSs
C7ey=zeros(size(ey));
Zr"dOj$Jf
C8ey=zeros(size(ey));
Nmf#`+7gCI
s/ S+ ec3
C1ez=zeros(size(ez));
/=M.-MU2
C2ez=zeros(size(ez));
q3\!$IM.
C3ez=zeros(size(ez));
l<RfRqjw
C4ez=zeros(size(ez));
T 46{*(
C5ez=zeros(size(ez));
6Bdyf(t
C6ez=zeros(size(ez));
` u=<c
C7ez=zeros(size(ez));
Yq;&F0paK
C8ez=zeros(size(ez));
"jGe^+9uT
a;p6?kv
D1hx=zeros(size(hx));
&7F&}7*c
D2hx=zeros(size(hx));
nHU3%%%cU
D3hx=zeros(size(hx));
# U`&jBU
D4hx=zeros(size(hx));
l$`G:% qHj
D5hx=zeros(size(hx));
P1Q B` &8F
D6hx=zeros(size(hx));
n\~yX<;X3
8|<f8Z65!
D1hy=zeros(size(hy));
@Z2/9K%1'
D2hy=zeros(size(hy));
Wf1-" Q
D3hy=zeros(size(hy));
tJ>d4A;8x
D4hy=zeros(size(hy));
;U7t
D5hy=zeros(size(hy));
):E'`ZP!F
D6hy=zeros(size(hy));
lt%-m@#/
bX{ PSjD
D1hz=zeros(size(hz));
{G.{ a d
D2hz=zeros(size(hz));
V'yxqI?
D3hz=zeros(size(hz));
ro]L}oE+
D4hz=zeros(size(hz));
!:J< pWN"
D5hz=zeros(size(hz));
YPQCOG
D6hz=zeros(size(hz));
rxkBg0Z`a
S A3Y:(
%***********************************************************************
` w=!o.1
% Update coefficients, as described in Section 7.8.2.
N[{]i Q
%
+-k`x0v
% In order to simplify the update equations used in the time-stepping
Ja=N@&Z#
% loop, we implement UPML update equations throughout the entire
&|] Fg5
% grid. In the main grid, the electric-field update coefficients of
K!b>TICa:
% Equations 7.91a-f and the correponding magnetic field update
)fR1n}#
% coefficients extracted from Equations 7.89 and 7.90 are simplified
:+A; TV
% for the main grid (free space) and calculated below.
p,^>*/O>
%
PDZ) *$EE
%***********************************************************************
hGKdGu`0
7eH@n <]Y2
%以下是主区域的迭代系数，即非pml参数时的系数
m2MPWy5 s
C1=(2*epsz*epsr-sigma_e*dt)/(2*epsz*epsr+sigma_e*dt);
1 ' %-y
C2=2*dt/(2*epsz*epsr+sigma_e*dt);
g[<uwknf
C3=1.0;
Y; PDZb K3
C4=1.0;
_Fvsi3d/
C5=1.0;
s.e y!ew
C6=1/2/epsz/epsr;
Z{16S=0
C7=2*epsz*epsr;
k`Y,KuBpM
C8=2*epsz*epsr;
e)o g4
Xa\]ua_
D1=1.0;
u"joCZ7`kG
D2=dt;
L%4tw5*N
D3=1.0;
.=aMjrME
D4=1.0/2.0/epsr/epsz/mur/muz;
CY\mU_.b
D5=2.0*epsr*epsz;
#|D:f~"d3
D6=2.0*epsr*epsz;
h@/>?Va
<sF!]R&4
%***********************************************************************
^)'| |Ly
% Initialize main grid update coefficients
.P x,=56$X
%***********************************************************************
n]Ebwznt-
% 给主计算区域系数赋值。
3~8AcX@
C1ex(:,:,:)=C1;
vKV{ $|
C2ex(:,:,:)=C2;
1r&AB!Z #
C3ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C3;
1 pYsjo~
C4ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C4;
s-o~@(r6
C5ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C5;
~M(pCSJ[
C6ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C6;
)S"o{N3B
C7ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C7;
$o: :PDQ?
C8ex(pxs:pxe-1,pys+1:pye-1,pzs+1:pze-1)=C8;
J2x$uO{Bn
N}1- 2
C1ey(:,:,:)=C1;
kfIbgya
C2ey(:,:,:)=C2;
f Y2l.H\f
C3ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C3;
m R"9 &wq
C4ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C4;
}8X:?S %
C5ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C5;
UvoG< ;
C6ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C6;
aGe \.A =
C7ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C7;
ob)D{4B'
C8ey(pxs+1:pxe-1,pys:pye-1,pzs+1:pze-1)=C8;
@u7 %B}q7:
;+! xZOmm
C1ez(:,:,:)=C1;
5"] aZMua
C2ez(:,:,:)=C2;
[kQ"6wh8
C3ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C3;
!FO:^P
C4ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C4;
|c BHBd
C5ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C5;
f61]`@Bk
C6ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C6;
ec,z6v^9
C7ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C7;
$Jt8d|UP
C8ez(pxs+1:pxe-1,pys+1:pye-1,pzs:pze-1)=C8;
aw;{<?*
)z|_*||WU^
D1hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D1;
<4S F~i
D2hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D2;
72% {Wh/
D3hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D3;
F\l!A'Q+t
D4hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D4;
!WDn7j'A
D5hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D5;
o<Ke 3?J\
D6hx(pxs+1:pxe-1,pys:pye-1,pzs:pze-1)=D6;
">0 /8] l
:K5V/-[|V1
D1hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D1;
8Na}Wp;|Gi
D2hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D2;
i$2MjFC-
D3hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D3;
y0lL Fe~
D4hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D4;
(p'/p
D5hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D5;
FkLQBpp(x
D6hy(pxs:pxe-1,pys+1:pye-1,pzs:pze-1)=D6;
z bdOCfA;
3<yC e%I:
D1hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D1;
*YMXiY JR
D2hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D2;
C5d/)a C
D3hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D3;
P[r}(@0rJ
D4hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D4;
">rsA&hN-
D5hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D5;
_y.mpX&
D6hz(pxs:pxe-1,pys:pye-1,pzs+1:pze-1)=D6;
3" 8t)s
oTZo[T@zRx
rmax=exp(-16); % R(0) desired reflection error, designated as R(0) in Equation 7.62
iOE9FW|e
6i55J a
orderbc=4; % m order of the polynomial grading, designated as m in Equation 7.60a,b
s"gKonwI2
sT@u3^>
%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
F\I5fNs@
% x-varying material properties
!;6W!%t.|
delbc=upml*delta; % d
7UY('Q[
sigmam=-log(rmax)*(orderbc+1.0)/(2.0*eta*delbc);
4d,qXSKty
%sigfactor=sigmam/(delta*(delbc^orderbc)*(orderbc+1.0));
NO%|c|B|
kmax=1;
:ga 9Db9P
kfactor=(kmax-1.0)/delta/(orderbc+1.0)/delbc^orderbc;
}"!6 Xm
Ul7,k\q@
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
~r7DEy |+
% xp xn
#p;4:IT
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
V/+ H_=|
Sf#\6X<B
% Coefficients for field components in the center of the grid cell
yKel|vM#
@D( KuF
% x1=(upml-i+1)*delta;x1;
=aX1:Z
% x2=(upml-i)*delta;x2;
9} IVNZc
r_center = ([1:upml] - 0.25)/upml;
mJU>f-l
;w>Q{z
%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
|rG8E;>
w`w ` q'
for i=1:upml
ZC>`ca
%sigma=sigfactor*(x1^(orderbc+1)-x2^(orderbc+1));
ci#Zvhtk r
%ki=1+kfactor*(x1^(orderbc+1)-x2^(orderbc+1));
R A-^! 4tX
sigma(i) = sigmam * r_center(i)^orderbc;
f[w jur
ki = 1;
#h}IUR
facm=(2*epsr*epsz*ki-sigma(i)*dt);
$L $j KNwf
facp=(2*epsr*epsz*ki+sigma(i)*dt);
`XFX`1
%ie_tot-upml+i;
<< ~lV5
%upml-i+1;
Vw6>:l <+<
hPNQ GVv
C7ex(upml-i+1,:,:)=facp;
$NH`Iu9 t
C7ex(ie_tot-upml+i,:,:)=facp;
Y,p2eAss
C8ex(upml-i+1,:,:)=facm;
6T5 A31 Q
C8ex(ie_tot-upml+i,:,:)=facm;
xV }:M
D1hz(upml-i+1,:,:)=facm/facp;
qhv4R| )
D1hz(ie_tot-upml+i,:,:)=facm/facp;
H"kc^G+(R"
D2hz(upml-i+1,:,:)=2.0*epsr*epsz*dt/facp;
D"1vw<Ak
D2hz(ie_tot-upml+i,:,:)=2.0*epsr*epsz*dt/facp;
E0WrpGZ
D3hy(upml-i+1,:,:)=facm/facp;
w0F:%:/
D3hy(ie_tot-upml+i,:,:)=facm/facp;
Ix%"4/z>
D4hy(upml-i+1,:,:)=1.0/facp/mur/muz;
?et0W|^k
D4hy(ie_tot-upml+i,:,:)=1.0/facp/mur/muz;
"oKj~:$
T/X?ZK(T
end
bF8xQ<i~Y
^H y)< P
% Coefficients for field components on the grid cell boundary
t/E MBfLc
QqT6P`0u
r_boundary = ([1:upml] - 0.75)/upml;
Q)7L ^
MC[ `<W) u
U[H+87zg
for i=1:upml
'2i)#~YO<
% x1=(upml-i+1.5)*delta;
QmDhZ04f
% x2=(upml-i+0.5)*delta;
l=<F1L z
% sigma=sigfactor*(x1^(orderbc+1)-x2^(orderbc+1));
` :B
% ki=1.0+kfactor*(x1^(orderbc+1)-x2^(orderbc+1));
pEqr0Qwh
sigma(i) = sigmam * r_boundary(i)^orderbc;
]y$V/Ij=qK
ki = 1;
gXJ19zB+
facm=(2.0*epsr*epsz*ki-sigma(i)*dt);
B[2h
facp=(2.0*epsr*epsz*ki+sigma(i)*dt);
h A&j?{
rA>A=,
C3ez(upml-i+2,:,:)=facm/facp;
bHlD m~5
C3ez(ie_tot-upml+i,:,:)=facm/facp;
xOX*=Wv
C4ez(upml-i+2,:,:)=2*epsr*epsz/facp;
h<!khWFS
C4ez(ie_tot-upml+i,:,:)=2*epsr*epsz/facp;
E : LQ!
C5ey(upml-i+2,:,:)=facm/facp;
x1BDvTqW
C5ey(ie_tot-upml+i,:,:)=facm/facp;
nATfmUN L
C6ey(upml-i+2,:,:)=1.0/facp;
0|*UeM
C6ey(ie_tot-upml+i,:,:)=1.0/facp;
O_%PBgcJr
D5hx(upml-i+2,:,:)=facp;
nOL 25 Y:
D5hx(ie_tot-upml+i,:,:)=facp;
`eA&C4oFOO
D6hx(upml-i+2,:,:)=facm;
!Barc ,kA
D6hx(ie_tot-upml+i,:,:)=facm;
Sj=69>m]5
-sGWSC
end
K[3D{ =
1' @lg*^9
% 以下可能大家看了有点迷惑，是在xp(x的正方向的pml层）中除了和sigmax有关的系数之外，
2rE~V.)%
% 其他不含sigmax的系数赋值。
AU${0#WV_
%xp
#E~WVTO w
C3ex(pxe:ie_tot,pys+1:pye-1,2:ke_tot)=C3;
> (1_Dn\
C4ex(pxe:ie_tot,pys+1:pye-1,2:ke_tot)=C4;
e-duZ o
C5ex(pxe:ie_tot,2:je_tot,pzs+1:pze-1)=C5;
F"HI>t)>
C6ex(pxe:ie_tot,2:je_tot,pzs+1:pze-1)=C6;
LbmB([p
cVv4gQD\
C3ey(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=C3;
g}s-v?+
C4ey(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=C4;
nP3;<*T P0
C7ey(pxe:ie_tot,pys:pye-1,2:ke_tot)=C7;
+h9l %Pz
C8ey(pxe:ie_tot,pys:pye-1,2:ke_tot)=C8;
xS Mp[j
m}'t'l4 c
C5ez(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=C5;
:w &)XI34
C6ez(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=C6;
u3v6$CD?
C7ez(pxe:ie_tot,2:je_tot,pzs:pze-1)=C7;
p.W*j^';Q
C8ez(pxe:ie_tot,2:je_tot,pzs:pze-1)=C8;
W@uH!n>k
el*pYI
D1hx(pxe:ie_tot,pys:pye-1,1:ke_tot)=D1;
@{$Cv"6769
D2hx(pxe:ie_tot,pys:pye-1,1:ke_tot)=D2;
Baf z&#;Q'
D3hx(pxe:ie_tot,1:je_tot,pzs:pze-1)=D3;
:6P c m3
D4hx(pxe:ie_tot,1:je_tot,pzs:pze-1)=D4;
ZE3ysLk m
1RUbY>K#U
D1hy(pxe:ie_tot,2:je_tot,pzs:pze-1)=D1;
V?L$ ys
D2hy(pxe:ie_tot,2:je_tot,pzs:pze-1)=D2;
E?c{02f u
D5hy(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=D5;
BD-c 0-+m
D6hy(pxe:ie_tot,pys+1:pye-1,1:ke_tot)=D6;
Kr}M>hF+|
K E)D =P
D3hz(pxe:ie_tot,pys:pye-1,2:ke_tot)=D3;
Xxsnpb>
D4hz(pxe:ie_tot,pys:pye-1,2:ke_tot)=D4;
&l!{ !f4
D5hz(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=D5;
$y]||tX
D6hz(pxe:ie_tot,1:je_tot,pzs+1:pze-1)=D6;
%?9r (&
/B#lju!
% 以下可能大家看了有点迷惑，是在xn(x的负方向的pml层）中除了和sigmax有关的系数之外，
^Hhw(@`qf
% 其他不含sigmax的系数赋值。
e 7)%=F/ )
%xn
"}~i7NBB
C3ex(1:pxs-1,pys+1:pye-1,2:ke_tot)=C3;
& 4I q m(
C4ex(1:pxs-1,pys+1:pye-1,2:ke_tot)=C4;
^J}$y7
C5ex(1:pxs-1,2:je_tot,pzs+1:pze-1)=C5;
.8uwg@yD
C6ex(1:pxs-1,2:je_tot,pzs+1:pze-1)=C6;
i2%m}S;D9
9' *ZEl^?D
C3ey(2:pxs,1:je_tot,pzs+1:pze-1)=C3;
?M{ 6U[ ?
C4ey(2:pxs,1:je_tot,pzs+1:pze-1)=C4;
:pF]TY"K.
C7ey(2:pxs,pys:pye-1,2:ke_tot)=C7;
[ E :`jY
C8ey(2:pxs,pys:pye-1,2:ke_tot)=C8;
l1|,Lr
RNrYT|
C5ez(2:pxs,pys+1:pye-1,1:ke_tot)=C5;
pGcx jm
C6ez(2:pxs,pys+1:pye-1,1:ke_tot)=C6;
MnrGD>M@|
C7ez(2:pxs,2:je_tot,pzs:pze-1)=C7;
1j) !d$8
C8ez(2:pxs,2:je_tot,pzs:pze-1)=C8;
?GD? J(S
qer'V
D1hx(2:pxs,pys:pye-1,1:ke_tot)=D1;
]3 8<ly7
D2hx(2:pxs,pys:pye-1,1:ke_tot)=D2;
+]~w ?^h
D3hx(2:pxs,1:je_tot,pzs:pze-1)=D3;
>7Sl( UY-
D4hx(2:pxs,1:je_tot,pzs:pze-1)=D4;
6x zR*~ 7
UEYM;$_@4o
D1hy(1:pxs-1,2:je_tot,pzs:pze-1)=D1;
zt>_)&b
D2hy(1:pxs-1,2:je_tot,pzs:pze-1)=D2;
kI[O {<kQ
D5hy(1:pxs-1,pys+1:pye-1,1:ke_tot)=D5;
'Tan 6 Qa
D6hy(1:pxs-1,pys+1:pye-1,1:ke_tot)=D6;
}.|5S+J?[
{@F["YPxy
D3hz(1:pxs-1,pys:pye-1,2:ke_tot)=D3;
r/$)c_x`
D4hz(1:pxs-1,pys:pye-1,2:ke_tot)=D4;
R_*D7|v
D5hz(1:pxs-1,1:je_tot,pzs+1:pze-1)=D5;
: R*^Izs=
D6hz(1:pxs-1,1:je_tot,pzs+1:pze-1)=D6;
O[ (HE 8E
i11GW
% PEC walls
[+cnx21{
% C3ez(1,:,:)=-1.0;
_Ag/gu2-?
% C3ez(ih_tot,:,:)=-1.0;
6Cv2>'{S
% C4ez(1,:,:)=0.0;
cZX&itVc:
% C4ez(ih_tot,:,:)=0.0;
(l!D=qy
% C5ey(1,:,:)=-1.0;
:iOHc-x
% C5ey(ih_tot,:,:)=-1.0;
W<hdb!bE
% C6ey(1,:,:)=0.0;
j{ w,<Wt>
% C6ey(ih_tot,:,:)=0.0;
Wv*BwiQ
;F]|HD9
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
6UAxl3- \
% y-varying material properties
R{Kd%Y:2Y
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
yLIj4bf
delbc=upml*delta;
}ok nB
sigmam=-log(rmax)*epsr*epsz*cc*(orderbc+1.0)/(2.0*delbc);
T _9ZI|Jx
% sigfactor=sigmam/(delta*(delbc^orderbc)*(orderbc+1.0));
!m:PBl5
kmax=1.0;
YU0HySP:
kfactor=(kmax-1.0)/delta/(orderbc+1.0)/delbc^orderbc;
SoGLs O+R
]Q_G /e
% Coefficients for field components in the center of the grid cell
_x|8U'|Ce
r_center = ([1:upml] - 0.25)/upml;
]! J3?G
jl0Eg
for j=1:upml
'GdlqbX(%
{F9Qy0.*u
[ *a>{sO[
% y1=(upml-j+1)*delta;
Nb9V/2c;V
% y2=(upml-j)*delta;
4Z p5o`*g2
% sigma=sigfactor*(y1^(orderbc+1)-y2^(orderbc+1));
]\mb6H c
% ki=1+kfactor*(y1^(orderbc+1)-y2^(orderbc+1));
C05 {,w?
sigma(j) = sigmam * r_center(j)^orderbc;
e]B< \i\T
ki = 1;
Pd N\0B `
facm=(2*epsr*epsz*ki-sigma(j)*dt);
=2 8H^rK{
facp=(2*epsr*epsz*ki+sigma(j)*dt);
?UhAjt YIS
A_* Lo6uII
C7ey(:,upml-j+1,:)=facp;
<[f2ZS6
C7ey(:,je_tot-upml+j,:)=facp;
#LyjJmQ
C8ey(:,upml-j+1,:)=facm;
KA{DN!
C8ey(:,je_tot-upml+j,:)=facm;
]4Yb$e `
D1hx(:,upml-j+1,:)=facm/facp;
V5@[7ncVf
D1hx(:,je_tot-upml+j,:)=facm/facp;
MdboWE5i
D2hx(:,upml-j+1,:)=2*epsr*epsz*dt/facp;
OZ0%; Y0
D2hx(:,je_tot-upml+j,:)=2*epsr*epsz*dt/facp;
b|@op>UZ
D3hz(:,upml-j+1,:)=facm/facp;
adr^6n6 v
D3hz(:,je_tot-upml+j,:)=facm/facp;
Ty|c@X
D4hz(:,upml-j+1,:)=1/facp/mur/muz;
whZ],R*u
D4hz(:,je_tot-upml+j,:)=1/facp/mur/muz;
)"3oe ?
end
w[vIPlSdS
jG ;(89QR/
% Coefficients for field components on the grid cell boundary
?,e:c XhE2
Bv ]wHPun
r_boundary = ([1:upml] - 0.75)/upml;
$>s@T(
@' :um
for j=1:upml
[>9"RzEl
%y1=(upml-j+1.5)*delta;
!4.^@^L|\
%y2=(upml-j+0.5)*delta;
k*6eZ 7
%sigma=sigfactor*(y1^(orderbc+1)-y2^(orderbc+1));
QN a3S*
%ki=1+kfactor*(y1^(orderbc+1)-y2^(orderbc+1));
G:ngio]G0
sigma(j) = sigmam * r_boundary(j)^orderbc;
k)' z<EL6c
ki = 1;
~{ $'s p0
facm=(2*epsr*epsz*ki-sigma(j)*dt);
;9 n8on\
facp=(2*epsr*epsz*ki+sigma(j)*dt);
R$m?&1K
e[& 3K<
C3ex(:,upml-j+2,:)=facm/facp;
nln[V$
C3ex(:,je_tot-upml+j,:)=facm/facp;
#UeU:RJ1
C4ex(:,upml-j+2,:)=2*epsr*epsz/facp;
$=SYssg7La
C4ex(:,je_tot-upml+j,:)=2*epsr*epsz/facp;
Q>g$)-8
C5ez(:,upml-j+2,:)=facm/facp;
959j p85
C5ez(:,je_tot-upml+j,:)=facm/facp;
)g^Ewzy^X
C6ez(:,upml-j+2,:)=1/facp;
Tka="eyIj3
C6ez(:,je_tot-upml+j,:)=1/facp;
He;%6OG{
D5hy(:,upml-j+2,:)=facp;
Ijro;rsEKM
D5hy(:,je_tot-upml+j,:)=facp;
R:m=HS_
D6hy(:,upml-j+2,:)=facm;
X1qj l_A
D6hy(:,je_tot-upml+j,:)=facm;
`ViNSr):J
\gv x)S11
end
/j \TmcnU^
&L`p4AZ
%yp y的正方向
N!&VBx^z
C5ex(1:ie_tot,pye:je_tot,pzs+1:pze-1)=C5;
y Vv3S[J
C6ex(1:ie_tot,pye:je_tot,pzs+1:pze-1)=C6;
$K6`Q4`
C7ex(pxs:pxe-1,pye:je_tot,2:ke_tot)=C7;
SFNd,(kB*z
C8ex(pxs:pxe-1,pye:je_tot,2:ke_tot)=C8;
# X_ M
Xn'>k[}<k
C3ey(2:ie_tot,pye:je_tot,pzs+1:pze-1)=C3;
$^ dk>Hj>4
C4ey(2:ie_tot,pye:je_tot,pzs+1:pze-1)=C4;
(Sp~+#XnF
C5ey(pxs+1:pxe-1,pye:je_tot,2:ke_tot)=C5;
-^Va]Lk
C6ey(pxs+1:pxe-1,pye:je_tot,2:ke_tot)=C6;
:2gO ) 'cD
^S2} 0N f
C3ez(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=C3;
(uz!:dkvx
C4ez(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=C4;
1c~ # ]6[
C7ez(2:ie_tot,pye:je_tot,pzs:pze-1)=C7;
I T2sS6&R
C8ez(2:ie_tot,pye:je_tot,pzs:pze-1)=C8;
boB{Y 7gO4
FdHWF|D
D3hx(2:ie_tot,pye:je_tot,pzs:pze-1)=D3;
zb)SlR
D4hx(2:ie_tot,pye:je_tot,pzs:pze-1)=D4;
~mo `
D5hx(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=D5;
x)mC^
D6hx(pxs+1:pxe-1,pye:je_tot,1:ke_tot)=D6;
IH:C m5MV
/`@> v$oo
D1hy(1:ie_tot,pye:je_tot,pzs:pze-1)=D1;
w.- i !Ls
D2hy(1:ie_tot,pye:je_tot,pzs:pze-1)=D2;
+mv%z3"j;
D3hy(pxs:pxe-1,pye:je_tot,1:ke_tot)=D3;
h!%`odl%
D4hy(pxs:pxe-1,pye:je_tot,1:ke_tot)=D4;
8gm[Q[
T=Q{K|JE
D1hz(pxs:pxe-1,pye:je_tot,2:ke_tot)=D1;
i PYlTV
D2hz(pxs:pxe-1,pye:je_tot,2:ke_tot)=D2;
XYTcG;_z
D5hz(1:ie_tot,pye:je_tot,pzs+1:pze-1)=D5;
{moNtzE;
D6hz(1:ie_tot,pye:je_tot,pzs+1:pze-1)=D6;
^TK)_wx
&g>+tkC
%yn y的负方向
DTVnQC
C5ex(1:ie_tot,2:pys,pzs+1:pze-1)=C5;
- $/{V&?t
C6ex(1:ie_tot,2:pys,pzs+1:pze-1)=C6;
Oip..f0
C7ex(pxs:pxe-1,2:pys,2:ke_tot)=C7;
<L#r6y~H
C8ex(pxs:pxe-1,2:pys,2:ke_tot)=C8;
}}R!Y)
S6Pb V}
C3ey(2:ie_tot,1:pys-1,pzs+1:pze-1)=C3;
xF+x I6
C4ey(2:ie_tot,1:pys-1,pzs+1:pze-1)=C4;
v]S8!wU
C5ey(pxs+1:pxe-1,1:pys-1,2:ke_tot)=C5;
8[IifF1M=&
C6ey(pxs+1:pxe-1,1:pys-1,2:ke_tot)=C6;
zz*[JIe
9DE)5/c`v
C3ez(pxs+1:pxe-1,2:pys,1:ke_tot)=C3;
Vp4]
C4ez(pxs+1:pxe-1,2:pys,1:ke_tot)=C4;
=R` 2 m
C7ez(2:ie_tot,2:pys,pzs:pze-1)=C7;
lI<8)42yq
C8ez(2:ie_tot,2:pys,pzs:pze-1)=C8;
r5wXuA,Um
<2A'
D3hx(2:ie_tot,1:pys-1,pzs:pze-1)=D3;
D8XXm lo
D4hx(2:ie_tot,1:pys-1,pzs:pze-1)=D4;
K6hN N$F!
D5hx(pxs+1:pxe-1,1:pys-1,1:ke_tot)=D5;
f#b[KB^Z,2
D6hx(pxs+1:pxe-1,1:pys-1,1:ke_tot)=D6;
`d#_66TLr
A*;h} \n
D1hy(1:ie_tot,2:pys,pzs:pze-1)=D1;
1_]l|`Po
D2hy(1:ie_tot,2:pys,pzs:pze-1)=D2;
DO{4n1-U
D3hy(pxs:pxe-1,2:pys,1:ke_tot)=D3;
`q*ABsj
D4hy(pxs:pxe-1,2:pys,1:ke_tot)=D4;
QV1%Zou
[wYQP6Cyy
D1hz(pxs:pxe-1,1:pys-1,2:ke_tot)=D1;
>@iV!!
D2hz(pxs:pxe-1,1:pys-1,2:ke_tot)=D2;
Z`M Q+
D5hz(1:ie_tot,1:pys-1,pzs+1:pze-1)=D5;
6 nhB1Aei
D6hz(1:ie_tot,1:pys-1,pzs+1:pze-1)=D6;
7|Y8^T s
(Cd `~* 5
% PEC walls
8 EH3zm4
% C3ex(:,1,:)=-1;
Pw.+DA
% C3ex(:,jh_tot,:)=-1;
tgnXBWA`!
% C4ex(:,1,:)=0;
vkmR cX:/
% C4ex(:,jh_tot,:)=0;
\C|06Bs $
% C5ez(:,1,:)=-1;
JwcP[w2
% C5ez(:,jh_tot,:)=-1;
XE\bZc
% C6ez(:,1,:)=0;
OSU=O
% C6ez(:,jh_tot,:)=0;
Ne_>%P|I_
IQ8AsV&'C
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
7X>3W F
% z-varying material properties
;Yj&7k1
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
*%sYajmD
Xw5" JE!.
delbc=upml*delta;
nfB9M1Svn
sigmam=-log(rmax)*epsr*epsz*cc*(orderbc+1)/(2*delbc);
HrxEC)V6#
%sigfactor=sigmam/(delta*(delbc^orderbc)*(orderbc+1));
mQJ GKh&Pk
kmax=1;
Q5JeL6t
kfactor=(kmax-1)/delta/(orderbc+1)/delbc^orderbc;
5H2|:GzUc
$i Tgv?.Q
% Coefficients for field components in the center of the grid cell
eyV904< F
R \?!r4
r_center = ([1:upml] - 0.25)/upml;
u{ / gjv
for k=1:upml
ZS]e}]Zwp
]f?LQCTq<b
%z1=(upml-k+1)*delta;
\ 3N# %
%z2=(upml-k)*delta;
v >R.ou(
%sigma=sigfactor*(z1^(orderbc+1)-z2^(orderbc+1));
e#^by(1@}
%ki=1+kfactor*(z1^(orderbc+1)-z2^(orderbc+1));
o 8U2vMH
sigma(k) = sigmam * r_center(k)^orderbc;
/2 N%Z
ki = 1;
[ Ma9
facm=(2*epsr*epsz*ki-sigma(k)*dt);
EbH eP
facp=(2*epsr*epsz*ki+sigma(k)*dt);
{]]I4a
L_|Y_=r."
C7ez(:,:,upml-k+1)=facp;
H++rwVwj#h
C7ez(:,:,ke_tot-upml+k)=facp;
~ Ji A
C8ez(:,:,upml-k+1)=facm;
,zaveQ~l
C8ez(:,:,ke_tot-upml+k)=facm;
0Jr< >7Q1
D1hy(:,:,upml-k+1)=facm/facp;
2BY:qz%:
D1hy(:,:,ke_tot-upml+k)=facm/facp;
I%`2RXBt3^
D2hy(:,:,upml-k+1)=2*epsr*epsz*dt/facp;
P2kZi=0
D2hy(:,:,ke_tot-upml+k)=2*epsr*epsz*dt/facp;
?hYe4tc-#
D3hx(:,:,upml-k+1)=facm/facp;
`x{gF8GV
D3hx(:,:,ke_tot-upml+k)=facm/facp;
D![Twll l
D4hx(:,:,upml-k+1)=1/facp/mur/muz;
7 &Aakl
D4hx(:,:,ke_tot-upml+k)=1/facp/mur/muz;
wd * Jq
: nt%z0_
end
{[+gM?
hyp`6?f
arJ[ .f9s
% Coefficients for field components on the grid cell boundary
?~Des"F6)1
r_boundary = ([1:upml] - 0.75)/upml;
sYzG_* )
for k=1:upml
+F R"Gt$ g
%z1=(upml-k+1.5)*delta;
oCS NA.z
%z2=(upml-k+0.5)*delta;
hV)I C9
%sigma=sigfactor*(z1^(orderbc+1)-z2^(orderbc+1));
.wywO|
%ki=1+kfactor*(z1^(orderbc+1)-z2^(orderbc+1));
;z#9>99rH
sigma(k) = sigmam * r_boundary(k)^orderbc;
WjB [e>
ki = 1;
\N)FUYoHg
facm=(2*epsr*epsz*ki-sigma(k)*dt);
sh 1fz 6g
facp=(2*epsr*epsz*ki+sigma(k)*dt);
^ 9i^Ci9
|%} ?*|-
C3ey(:,:,upml-k+2)=facm/facp;
A 3l1$t# w
C3ey(:,:,ke_tot-upml+k)=facm/facp;
L~~aW0,
C4ey(:,:,upml-k+2)=2*epsr*epsz/facp;
g@L4G?hLn
C4ey(:,:,ke_tot-upml+k)=2*epsr*epsz/facp;
PhQD}|S
C5ex(:,:,upml-k+2)=facm/facp;
(@Bm2g H
C5ex(:,:,ke_tot-upml+k)=facm/facp;
Y u=^ `I
C6ex(:,:,upml-k+2)=1/facp;
{T9g\F*
C6ex(:,:,ke_tot-upml+k)=1/facp;
ZpyRvDz
D5hz(:,:,upml-k+2)=facp;
#*~Uu.T
D5hz(:,:,ke_tot-upml+k)=facp;
F 7=-k/k
D6hz(:,:,upml-k+2)=facm;
"M tQj}
D6hz(:,:,ke_tot-upml+k)=facm;
Y~6pJNR
[*(MI 9WM
end
NKRXY~zHh
"?!IPX2\S
7blZAA?-
g= .5*'Xlp
2%I:s6r
%zp z的正方向
G+}LLm.wX
C7ex(pxs:pxe-1,2:je_tot,pze:ke_tot)=C7;
#LZ`kSlv4
C8ex(pxs:pxe-1,2:je_tot,pze:ke_tot)=C8;
Z I1RB fR
C3ex(1:ie_tot,pys+1:pye-1,pze:ke_tot)=C3;
?#'qY6 ^
C4ex(1:ie_tot,pys+1:pye-1,pze:ke_tot)=C4;
iX28+weH
pP# ?|
C5ey(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=C5;
{BF\G%v;+
C6ey(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=C6;
E9i WGSE
C7ey(2:ie_tot,pys:pye-1,pze:ke_tot)=C7;
{SJLM0=Z
C8ey(2:ie_tot,pys:pye-1,pze:ke_tot)=C8;
IO4 IaeM
m:t $&
C5ez(2:ie_tot,pys+1:pye-1,pze:ke_tot)=C5;
>,v~,<3 i
C6ez(2:ie_tot,pys+1:pye-1,pze:ke_tot)=C6;
DCm;dh
C3ez(pxs+1:pxe-1,2:je_tot,pze:ke_tot)=C3;
=% p"oj]:
C4ez(pxs+1:pxe-1,2:je_tot,pze:ke_tot)=C4;
+2?[=g4;}
P|?z1JUd
D1hx(2:ie_tot,pys:pye-1,pze:ke_tot)=D1;
9fiZ5 \
D2hx(2:ie_tot,pys:pye-1,pze:ke_tot)=D2;
e0TnA N
D5hx(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=D5;
{:Q2 Itsy
D6hx(pxs+1:pxe-1,1:je_tot,pze:ke_tot)=D6;
{2nXItso
qz:OnQv!
D3hy(pxs:pxe-1,2:je_tot,pze:ke_tot)=D3;
1#V0g Q
D4hy(pxs:pxe-1,2:je_tot,pze:ke_tot)=D4;
UpITx]y?"m
D5hy(1:ie_tot,pys+1:pye-1,pze:ke_tot)=D5;
K;95M^C\O*
D6hy(1:ie_tot,pys+1:pye-1,pze:ke_tot)=D6;
Dj|S
#[8gH>7
D1hz(pxs:pxe-1,1:je_tot,pze:ke_tot)=D1;
;Wh B2/5v
D2hz(pxs:pxe-1,1:je_tot,pze:ke_tot)=D2;
I' gnw~
D3hz(1:ie_tot,pys:pye-1,pze:ke_tot)=D3;
MG6Tk(3S
D4hz(1:ie_tot,pys:pye-1,pze:ke_tot)=D4;
]1K &U5p
hug 12Cu
%zn z的负方向
-} (W=r\
C7ex(pxs:pxe-1,2:je_tot,2:pzs)=C7;
`'>>[*06:a
C8ex(pxs:pxe-1,2:je_tot,2:pzs)=C8;
1;h>^NOq
C3ex(1:ie_tot,pys+1:pye-1,2:pzs)=C3;
U;31}'b
C4ex(1:ie_tot,pys+1:pye-1,2:pzs)=C4;
s-*XAn ot
JjwuxZVr O
C5ey(pxs+1:pxe-1,1:je_tot,2:pzs)=C5;
QqDF_
C6ey(pxs+1:pxe-1,1:je_tot,2:pzs)=C6;
Pzqgg43Xf
C7ey(2:ie_tot,pys:pye-1,2:pzs)=C7;
PQK_*hJG"
C8ey(2:ie_tot,pys:pye-1,2:pzs)=C8;
3B0%:Jj
\@xnC$dd/
C5ez(2:ie_tot,pys+1:pye-1,1:pzs-1)=C5;
n s3k{l#
C6ez(2:ie_tot,pys+1:pye-1,1:pzs-1)=C6;
^Iz.O
C3ez(pxs+1:pxe-1,2:je_tot,1:pzs-1)=C3;
^~0 r+w61
C4ez(pxs+1:pxe-1,2:je_tot,1:pzs-1)=C4;
IkvH8E
+SJ aE] $
D1hx(2:ie_tot,pys:pye-1,1:pzs-1)=D1;
yD K X,
D2hx(2:ie_tot,pys:pye-1,1:pzs-1)=D2;
X:Zqgf
D5hx(pxs+1:pxe-1,1:je_tot,1:pzs-1)=D5;
C" s a.#}
D6hx(pxs+1:pxe-1,1:je_tot,1:pzs-1)=D6;
yU\|dL
Hq~ 2,#Ue
D3hy(pxs:pxe-1,2:je_tot,1:pzs-1)=D3;
2#R"#Q!
D4hy(pxs:pxe-1,2:je_tot,1:pzs-1)=D4;
ovl@[>OB
D5hy(1:ie_tot,pys+1:pye-1,1:pzs-1)=D5;
8c~H![2u
D6hy(1:ie_tot,pys+1:pye-1,1:pzs-1)=D6;
S$#Awen"@
oeIS &O.K
D1hz(pxs:pxe-1,1:je_tot,2:pzs)=D1;
Kq*^*vWC
D2hz(pxs:pxe-1,1:je_tot,2:pzs)=D2;
9. R _=
D3hz(1:ie_tot,pys:pye-1,2:pzs)=D3;
MLDuo|?
D4hz(1:ie_tot,pys:pye-1,2:pzs)=D4;
= FE,G*
<[q )2 5RL
V*?,r< (
b9U 2afd
, R)[$n
% PEC walls
DFi exOb
% C3ey(:,:,1)=-1;
F,D &
% C3ey(:,:,kh_tot)=-1;
WRgz]=W3w
% C4ey(:,:,1)=0;
4ldN0 _ T5
% C4ey(:,:,kh_tot)=0;
_+{s^n=
% C5ex(:,:,1)=-1;
7+c@pEU]
% C5ex(:,:,kh_tot)=-1;
dU\fC{1Z
% C6ex(:,:,1)=0;
C{Fo^-3
% C6ex(:,:,kh_tot)=0;
k91Y"_&
5 xiYCOy
%figure
e' Zg F~
%set(gcf,'DoubleBuffer','on')
o 2DnkzpJ
5mV'k"Om#"
%***********************************************************************
2vwT8/
% Begin time stepping loop
K,R Ia0)
%***********************************************************************
B<)(7GTv7"
j}|6k6t
for n=1:nmax
(T ^aZuuS
P)H%dJ ^l
% Update magnetic field
BP7_o63/G
bstore=bx;
A=,m
bx(2:ie_tot,:,:)=D1hx(2:ie_tot,:,:).* bx(2:ie_tot,:,:)-...
AkF1Hj
D2hx(2:ie_tot,:,:).*((ez(2:ie_tot,2:jh_tot,:)-ez(2:ie_tot,1:je_tot,:))-...
*D'V W{
(ey(2:ie_tot,:,2:kh_tot)-ey(2:ie_tot,:,1:ke_tot)))./delta;
[:o#d`^
hx(2:ie_tot,:,:)= D3hx(2:ie_tot,:,:).*hx(2:ie_tot,:,:)+...
^b%AwzHH}
D4hx(2:ie_tot,:,:).*(D5hx(2:ie_tot,:,:).*bx(2:ie_tot,:,:)-...
>!$4nx q2>
D6hx(2:ie_tot,:,:).*bstore(2:ie_tot,:,:));
3drgB;:g`
bstore=by;
aCMcu\rd
by(:,2:je_tot,:)=D1hy(:,2:je_tot,:).* by(:,2:je_tot,:)-...
8'YL!moG|
D2hy(:,2:je_tot,:).*((ex(:,2:je_tot,2:kh_tot)-ex(:,2:je_tot,1:ke_tot))-...
}A#FGH +
(ez(2:ih_tot,2:je_tot,:)-ez(1:ie_tot,2:je_tot,:)))./delta;
B!<I[fvK
hy(:,2:je_tot,:)= D3hy(:,2:je_tot,:).*hy(:,2:je_tot,:)+...
a} fW3+>
D4hy(:,2:je_tot,:).*(D5hy(:,2:je_tot,:).*by(:,2:je_tot,:)-...
K@fx Cj*}
D6hy(:,2:je_tot,:).*bstore(:,2:je_tot,:));
O-7 \qz
bstore=bz;
*)w 8fq
bz(:,:,2:ke_tot)=D1hz(:,:,2:ke_tot).* bz(:,:,2:ke_tot)-...
r8 xH A
D2hz(:,:,2:ke_tot).*((ey(2:ih_tot,:,2:ke_tot)-ey(1:ie_tot,:,2:ke_tot))-...
h m"B kOA
(ex(:,2:jh_tot,2:ke_tot)-ex(:,1:je_tot,2:ke_tot)))./delta;
cz0tnF*&
hz(:,:,2:ke_tot)= D3hz(:,:,2:ke_tot).*hz(:,:,2:ke_tot)+...
g5cR.]oz
D4hz(:,:,2:ke_tot).*(D5hz(:,:,2:ke_tot).*bz(:,:,2:ke_tot)-...
5pDxFs=v
D6hz(:,:,2:ke_tot).*bstore(:,:,2:ke_tot));
|9g*rO
UKzmR a,s
% PEC on the PML outer boundary
cx0 2b-O
PvM<#z q_
% tangential ex=0 on front-back plane
R38 w!6{
ex(:,1,:)=0.0;
DJ\lvT#j
ex(:,jh_tot,:)=0.0;
mdk:2n dP
Fr VD~;
% tangential ex=0 on down-up plane
(d ( whlF
ex(:,:,1)=0.0;
zJ\I%7h*
ex(:,:,kh_tot)=0.0;
Fm@GU
| zA ey\
-uh/W=Q1R
% tangential ey=0 on left-right plane
}vL [N~5\
ey(1,:,:)=0.0;
c >^_4QQ
ey(ih_tot,:,:)=0.0;
[ -%oO
\/5 8#
$Fn# b|e
% tangential ey=0 on down-up plane
Jn&(v "_
ey(:,:,1)=0.0;
:9)> !+|'
ey(:,:,kh_tot)=0.0;
1 4|S^UM$
9KP+
c"| ^Lo.
% tangential ez=0 on left-right plane
{C3bCVQ]o
ez(1,:,:)=0.0;
8-m"] o3
ez(ih_tot,:,:)=0.0;
%=| I;kI?
Ghj6&K%b0
<sPB| 5Ak
% tangential ez=0 on front-back plane
f(3#5288
ez(:,1,:)=0.0;
I5e!vCG)
ez(:,jh_tot,:)=0.0;
v\<`"
a{HvrWs?Q
% Update electric field
b w cPY
J3$ihH.
p1store=px1;
? {FxbDp>
px1(:,2:je_tot,2:ke_tot)=C1ex(:,2:je_tot,2:ke_tot).* px1(:,2:je_tot,2:ke_tot)+...
gC'GZi^
C2ex(:,2:je_tot,2:ke_tot).*((hz(:,2:je_tot,2:ke_tot)-hz(:,1:je_tot-1,2:ke_tot))-...
I[R?j?$}>
( hy(:,2:je_tot,2:ke_tot)-hy(:,2:je_tot,1:ke_tot-1)))./delta;
)~Q$ tM`
p2store=px2;
;zGGT^Dn
px2(:,2:je_t ..
@ }[) uH
fpzTv3D=I
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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
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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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