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请牛人指教一下,三维程序中均匀平面波入 ..
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请牛人指教一下,三维程序中均匀平面波入射时连接边界这样加入有问题吗?
离线
lizi
UID :14737
注册:
2008-07-04
登录:
2008-12-23
发帖:
46
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仿真一级
0楼
发表于: 2008-07-14 16:33:50
里面的计算过程根据葛老师编的书上公式!(前4个式子计算E0,后面两个坐标转换,不知道这样对不对)请教牛人指导,磁场也按同样方法加入!
3t<XbHF9
ie为x方向格子数+1,je,ke分别为y、z方向
[MSLVTR
left_x(i,1,k)存储左侧面ex值,其他的类似!
'J^ M`/
EvZ;i^.8LS
for i=1:ie
w-2&6o<n-
for k=1:ke
O7@CAr
temp1(1)=i*sin(theta)*cos(psi)+jets*cos(theta)*sin(psi)+k*cos(psi);
hsV+?#I
temp1(2)=floor(temp1(1)); %左表面 电场
)|;*[S4
temp1(3)=temp1(1)-temp1(2);
KrOoxrDcp
temp1(4)=temp1(2)+1;
Z(Da?6#1
left_x(i,1,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
&qw7BuF
left_x(i,1,k)=left_x(i,1,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
/H#- \r&r
left_z(i,1,k)=-left_x(i,1,k)*sin(theta)*cos(alpha);
2|'v[
").MU[q%Y
temp1(1)=i*sin(theta)*cos(psi)+jete*cos(theta)*sin(psi)+k*cos(psi);
yXU-@~
temp1(2)=floor(temp1(1)); %右边面 电场
(<sZ8n=AD
temp1(3)=temp1(1)-temp1(2);
JQ{g'cT
temp1(4)=temp1(2)+1;
>!+.M9
right_x(i,1,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
aE}1~`
right_x(i,1,k)=right_x(i,1,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
UeWEncN(
right_z(i,1,k)=-right_x(i,1,k)*sin(theta)*cos(alpha);
9pPb]v,6
end
TU ]Ed*'&
end
}e3M5LI1L
JA W}]:jC
for i=1:ie
8N<0|u
for j=1:je
&gJKJ=7
temp1(1)=i*sin(theta)*cos(psi)+j*cos(theta)*sin(psi)+kets*cos(psi);
\s<7!NAE4
temp1(2)=floor(temp1(1)); %下边面 电场
Pn@k)g
temp1(3)=temp1(1)-temp1(2);
#_yQv? J
temp1(4)=temp1(2)+1;
JFaxxW
bottom_x(i,j,1)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
.qVz rS
bottom_x(i,j,1)=bottom_x(i,j,1)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
n}==
bottom_y(i,j,1)=bottom_x(i,j,1)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
\PS{/XK
2 q RXA
temp1(1)=i*sin(theta)*cos(psi)+j*cos(theta)*sin(psi)+kete*cos(psi);
d,=Kv
temp1(2)=floor(temp1(1)); %上边面 电场
qW]gp7jK4
temp1(3)=temp1(1)-temp1(2);
KTn,}7vZ
temp1(4)=temp1(2)+1;
F#=XJYG1
top_x(i,j,1)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
lB!`,>"c
top_x(i,j,1)=top_x(i,j,1)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
1-Fg_G}|6
top_y(i,j,1)=top_x(i,j,1)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
!:e|M|T'I*
end
nb(4"|8}
end
(]wi^dE
=! v.VF\;
for j=1:je
4R!A.N 9
for k=1:ke
QS2J271E}
temp1(1)=iets*sin(theta)*cos(psi)+j*cos(theta)*sin(psi)+k*cos(psi);
Zu(eYH=Q
temp1(2)=floor(temp1(1)); %后边面 电场
(H *-b4]/
temp1(3)=temp1(1)-temp1(2);
{ zoUU
temp1(4)=temp1(2)+1;
$ tf;\R
back_y(1,j,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
}Ictnb
back_y(1,j,k)=back_y(1,j,k)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
"=4`RM
back_z(1,j,k)=-back_y(1,j,k)*sin(theta)*cos(alpha);
"%~\kJ(G
gyH'92ck
temp1(1)=iete*sin(theta)*cos(psi)+j*cos(theta)*sin(psi)+k*cos(psi);
j0J}d _
temp1(2)=floor(temp1(1)); ..
YArNJ5z=
+3.Ik,Z}zq
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离线
lizi
UID :14737
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1楼
发表于: 2008-07-14 16:35:58
从运行结果来看,不正确,不知道是不是这一步有问题?做过这样程序的一定指教一下小弟!
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离线
lizi
UID :14737
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2楼
发表于: 2008-07-15 13:16:09
自己顶一下!
|:!0`p{R
书中的计算r'的公式是不是错了?其中中间的一项中cos(theta)是不是要改为sin(theta)?又知道的嘛?自己推算的时候感觉书上的错了,有不敢冒昧!望牛人指点!
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langren2007
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3楼
发表于: 2008-07-15 17:27:04
中间一项本来就是sin(theta)
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langren2007
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4楼
发表于: 2008-07-15 17:39:25
left_x(i,1,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
:nwcO3~`
left_x(i,1,k)=left_x(i,1,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
=_ rn8
left_z(i,1,k)=-left_x(i,1,k)*sin(theta)*cos(alpha);
+,|-4U@dl
JpuW !I
貌似这里也不对,left_x(i,1,k)好像在第二步的时候值已经改变了。不应该用这个迭代吧!
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wudawolf
rf币
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您的回复起提示作用+3~5
2008-07-15
离线
lizi
UID :14737
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5楼
发表于: 2008-07-15 22:09:02
谢了,今天一天确实找了很多毛病,不过你提的这个错误,还没发现呢!茅塞顿开了!不知该说啥了,谢谢您了!o(∩_∩)o...明天再调调试试!
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离线
lizi
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6楼
发表于: 2008-07-21 10:39:44
明天就回家了,再来顶顶!
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cem-uestc
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发表于: 2008-07-21 22:00:28
有空看看。
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sannxi
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8楼
发表于: 2008-08-06 01:05:36
我曾经推导过,我想看看你的程序吧
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lizi
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9楼
发表于: 2008-08-21 11:35:22
clear
:otY;n -
clc
:m*!?QGdL
%***************************************
QtnM(m
%基本参数
Ig02M_
%****************************************
<84C tv
cz=2.99792456e8;
pkXfsi-Nu
murz=4.0*pi*1.0e-7;
*K+jsVDY
epsz=1.0/(cz*cz*murz);
T2:oWjC3$
freq0=1.15*1.0e10; %激发源的频率
s%N`
omega0=2*pi*freq0; %入射波的角速度
;]gsJ9FK<
lambda=cz/freq0; %激发源中心波长
\!UF|mD^tG
psi=45*pi/180; %入射波方向在xoy平面内与x轴的夹角
b(#"w[|
theta=45*pi/180; %入射波方向与z轴夹角
<78$]Z2we
alpha=45*pi/180; %入射波为线性极化,alpha为极化角
HJfQ]p'nK2
incidentstart=1; %入射波开始位置
8! H8[J
incidentend=1000;
mq J0z4I}
source=20;
stg30><
t=2*pi/omega0; %入射波周期
R=vbUA
z=(murz/epsz)^0.5; %特征阻抗
@V* ju
%***********************************************
s-,=e
%格子参数
q GpP,
%***********************************************
;wJ7oj<
ie=100;
;|>q zx
je=100;
5\akI\
ke=100;
c<=`<!FS[
ib=ie-1; %x方向格子大小
| V.S.'
jb=je-1; %y方向格子大小
sf |oNOz
kb=ke-1; %z方向格子大小
5JBB+g
Gur8.A;Y
iet=80; %x方向总场大小
oLrkOn/aY
jet=80; %y方向总场大小
{cR_?Y@
ket=80; %z方向总场大小
k9}Q7) @
ibt=iet-1;
~\IF9!
jbt=iet-1;
{D_++^
kbt=ket-1;
Io$w|~x
Vs_\ykO
iets=(ie-iet)/2+1; %x轴方向,总场的开始位置
u}K5/hC
iete=ie-(ie-iet)/2; %x轴方向,总场的结束位置
MxO W)$f
jets=(je-jet)/2+1; %y轴方向,总场的开始位置
eJU;*] xfH
jete=je-(je-jet)/2; %y轴方向,总场的结束位置
BIxV|\k
kets=(ke-ket)/2+1; %z轴方向,总场的开始位置
!,cQ'*<W8-
kete=ke-(ke-ket)/2; %z轴方向,总场的结束位置
l |08
zmrQf/y{R
dx=lambda/100;
FX HAZ2/\
dt=0.95*dx/(cz*2^0.5);
MV"E?}0
ca=1;
4Qa@`
cb=dt/epsz;
xwTijSj
cp=1;
8hTR*e!+
cq=dt/murz;
&mN'Tk
tmax=1000;
7?6xPKQ)H
%*******************************************
1YOg1 n+k
%场的初始场强
wGEWr2$
%*******************************************
>_;kT y,
ex=zeros(ib,je,ke); %ex场
K #qoR /:
ey=zeros(ie,jb,ke);
oLgg
ez=zeros(ie,je,kb);
&Ki>h
hx=zeros(ie,jb,kb);
t8+?U^j
hy=zeros(ib,je,kb);
2[jL^XMM
hz=zeros(ib,jb,ke);
i\t753<Ys
ein=zeros((incidentend-incidentstart+1),1);
$|4cJ#;^L
hin=zeros((incidentend-incidentstart),1);
; cGv] A+
temp=zeros(2,1); %处理一维的入射波
O&`U5w
temp1=zeros(4,1); %处理连接边界投影
5;IT64&]
back_y=zeros(3,je,ke); %处理后表面的连接边界,其中1为电场2为磁场3临时时储存r’以下同
c3=-Mq9Q
back_z=zeros(2,je,ke);
y;Qy"-)qb
front_y=zeros(3,je,ke);
.:w#&yM [U
front_z=zeros(2,je,ke);
/xl4ohL$a
left_z=zeros(ie,2,ke);
99 <4t$KH
left_x=zeros(ie,3,ke);
cC^W2\
right_z=zeros(ie,2,ke);
<Z{vC
right_x=zeros(ie,3,ke);
oR*ztM
top_y=zeros(ie,je,2);
$ q%mu
top_x=zeros(ie,je,3);
w Y8@1>ah
bottom_y=zeros(ie,je,2);
S5uJX#*;
bottom_x=zeros(ie,je,3);
<RhOjZgyZ
?qju DD
kUNj4xp)
=WIE>*3[
%***********************************************
).pO2lLF4
% Movie initialization
qBT_! )h
%***********************************************
fuq( 2&^
tview(:,:)=ez(:,:,ke/2);
8';m)Jc
sview(:,:)=ez(:,je/2,:);
R<"2%oY
xDR9_
subplot(2,1,1),pcolor(tview');
aXMv(e+
shading flat;
TQ; Z.)L
caxis([-1.0 1.0]);
T>d\%*Q+B
colorbar;
<^d!Vzr]
axis image;
IikG/8lP
title(['Ez(i,j,k=50),timestep=0']);
o^HNF+sm
xlabel('i coordinate');
<f%ujrX
ylabel('j coordinate');
h S4.3]ei
8]S,u:E:N
subplot(2,1,2),pcolor(sview');
3^{8_^I
shading flat;
$z*@2Non
caxis([-1.0 1.0]);
ARP KzF`Wq
colorbar;
M2}np
axis image;
Vwjk[ DOL
title(['Ez(i,j=50,k),timestep=0']);
H5~1g6b@
xlabel('i coordinate');
9lKn%|=T
ylabel('k coordinate');
he"L*p*H
OkLz^R?d
rect=get(gcf,'Position');
`,+#! )
rect(1:2)=[0 0];
]JH64~a
M=moviein(tmax/1,gcf,rect);
&=YSM.G
%**********************************************
1Fv8T'
% 开始时间的
b)N[[sOt
%**********************************************
lK0s=4c{
for n=1:tmax
YQ; cJ$
%**********************************
N1%p"(
% 产生入射波
f0vJm
%**********************************
d^PD#&"g
hin(incidentstart:incidentend-1)=hin(incidentstart:incidentend-1)-...
yH^f\u0
(ein(incidentstart+1:incidentend)-ein(incidentstart:incidentend-1))*dt/murz/dx;
LIF|bE9kd
ein(incidentstart+1:incidentend-1)=ein(incidentstart+1:incidentend-1)-...
2d-{Q8Pi
(hin(incidentstart+1:incidentend-1)-hin(incidentstart:incidentend-2))*dt/epsz/dx;
=-_)$GOI'
ein(source,1)=1*sin(omega0*n*dt);
C;9t">prk
ein(incidentstart)=temp(1)+(ein(incidentstart+1)-ein(incidentstart))*(cz*dt-dx)/(cz*dt+dx);
T=WNBqKo]
temp(1)=ein(incidentstart+1);
[!EXMpq'
ein(incidentend)=temp(2)+(ein(incidentend-1)-ein(incidentend))*(cz*dt-dx)/(cz*dt+dx);
<$%ql'=
temp(2)=ein(incidentend-1);
o7.e'1@
%**********************************
2Zy_5>~
% 将连接边界投影到一维的入射波上
98GlhogWt
%**********************************
WJfES2N
for i=1:ie
xq2V0Jp1u
for k=1:ke
z5'ZN+
temp1(1)=i*sin(theta)*cos(psi)+jets*sin(theta)*sin(psi)+k*cos(theta);
q(78fZ *X
temp1(2)=floor(temp1(1)); %左表面入射 电场
Ejv%,q/T(
temp1(3)=temp1(1)-temp1(2);
62Mdm3
temp1(4)=temp1(2)+1;
xOythvO
left_x(i,3,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
>-M ]:=L
left_x(i,1,k)=left_x(i,3,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
wxE?3%.j\
left_z(i,1,k)=-left_x(i,3,k)*sin(theta)*cos(alpha);
WSRy%#
n0Go p^3
temp1(1)=i*sin(theta)*cos(psi)+jete*sin(theta)*sin(psi)+k*cos(theta);
C}q>YRubZ
temp1(2)=floor(temp1(1)); %右边面入射 电场
6JhMkB^h
temp1(3)=temp1(1)-temp1(2);
$xT1 1 ^
temp1(4)=temp1(2)+1;
>L gVj$Z
right_x(i,3,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
s.VA!@F5
right_x(i,1,k)=right_x(i,3,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
uMvb-8
right_z(i,1,k)=-right_x(i,3,k)*sin(theta)*cos(alpha);
Ea-bC:>
end
Oa! m
end
3V?817&6z
@D~B{Hg
for i=1:ie
1]T|6N?
for j=1:je
+c--&tBo
temp1(1)=i*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+kets*cos(theta);
.oEbEs
temp1(2)=floor(temp1(1)); %下边面入射 电场
wd/G|kNO
temp1(3)=temp1(1)-temp1(2);
);Z]SGd
temp1(4)=temp1(2)+1;
L;S}s, 2x
bottom_x(i,j,3)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
%t*[T
bottom_x(i,j,1)=bottom_x(i,j,3)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
6g"C#&{@
bottom_y(i,j,1)=bottom_x(i,j,3)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
k^%2_H
;$7v%Ls=
temp1(1)=i*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+kete*cos(theta);
:=*}htP4C
temp1(2)=floor(temp1(1)); %上边面入射 电场
~M5:=zKQ
temp1(3)=temp1(1)-temp1(2);
JEhm1T
temp1(4)=temp1(2)+1;
|f\D>Y%)
top_x(i,j,3)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
yoQ\lk
top_x(i,j,1)=top_x(i,j,3)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
v`x|]-/M&
top_y(i,j,1)=top_x(i,j,3)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
~EEs}i
end
sHdp
end
<*<U!J-i
a[sKE?
for j=1:je
D<bI2
for k=1:ke
CQgcC-)ns]
temp1(1)=iets*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+k*cos(theta);
)T1iN(Z
temp1(2)=floor(temp1(1)); %后边面入射 电场
GKZN}bOm\
temp1(3)=temp1(1)-temp1(2);
yS!(Ap
temp1(4)=temp1(2)+1;
^z~~VBv
back_y(3,j,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
io.]'">
back_y(1,j,k)=back_y(3,j,k)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
Ja|{1&J.
back_z(1,j,k)=-back_y(3,j,k)*sin(theta)*cos(alpha);
?'eq",c#4N
)#C mQXgG
temp1(1)=iete*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+k*cos(theta);
uFG<UF
temp1(2)=floor(temp1(1)); %前边面入射 电场
[} -3PpF
temp1(3)=temp1(1)-temp1(2);
o_f-GO
temp1(4)=temp1(2)+1;
jAC78n,Fi@
front_y(3,j,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
O- #TZ
front_y(1,j,k)=front_y(3,j,k)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
W\8Ln>
front_z(1,j,k)=-front_y(3,j,k)*sin(theta)*cos(alpha);
ZSB?Y1wG
end
o5!f#Y
end
Y.sz|u 1
r8[T&z@_
for i=1:ie
:U'Cor H
for k=1:ke
m|O1QM;T
temp1(1)=i*sin(theta)*cos(psi)+(jets-1)*sin(theta)*sin(psi)+k*cos(theta);
<uci9- eC
temp1(2)=floor(temp1(1)); %左表面入射 磁场
/:Lu_)5
temp1(3)=temp1(1)-temp1(2);
};b1aha G
temp1(4)=temp1(2)+1;
&^!h}D%T/
left_x(i,3,k)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4));
#H~_K}Ks
left_x(i,2,k)=left_x(i,3,k)*(-sin(psi)*cos(alpha)-cos(theta)*cos(psi)*sin(alpha)); %hx j0-1
+&5'uAe
left_z(i,2,k)=left_x(i,3,k)*sin(theta)*sin(alpha); %hz j0-1
2 0tO#{Li
\S4SI
temp1(1)=i*sin(theta)*cos(psi)+(jete+1)*sin(theta)*sin(psi)+k*cos(theta);
XN;&qR^j
temp1(2)=floor(temp1(1)); %右边面入射 磁场
Xgat-cy'DA
temp1(3)=temp1(1)-temp1(2);
/[=E0_t+
temp1(4)=temp1(2)+1;
=sgdkAYwP
right_x(i,3,k)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4));
2'|8Q\,:4Z
right_x(i,2,k)=right_x(i,3,k)*(-sin(psi)*cos(alpha)-cos(theta)*cos(psi)*sin(alpha)); %hx jb+1
NmpnJu|8
right_z(i,2,k)=right_x(i,3,k)*sin(theta)*sin(alpha); %hz jb+1
fDh]tua
end
eg<pa'Hw
end
1/;o
(dqCa[
for i=1:ie
`s"d]/85VW
for j=1:je
d ~`V7B2Y
temp1(1)=i*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+(kets-1)*cos(theta);
,SUT~oETP
temp1(2)=floor(temp1(1)); %下边面入射 磁场
QJGKQ2^ n
temp1(3)=temp1(1)-temp1(2);
7K;!iX<d
temp1(4)=temp1(2)+1;
?X9UTOx
bottom_x(i,j,3)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4));
DHw<%Z-J
bottom_x(i,j,2)=bottom_x(i,j,3)*(-sin(psi)*cos(alpha)-cos(theta)*cos(psi)*sin(alpha)); %hx k0-1
86 .`T l;
bottom_y(i,j,2)=bottom_x(i,j,3)*(cos(psi)*cos(alpha)-cos(theta)*sin(psi)*sin(alpha)); %hy k0-1
!wE}(0BTx
$IX\O
temp1(1)=i*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+(kete+1)*cos(theta);
h4)Bs\==mT
temp1(2)=floor(temp1(1)); %上边面入射 磁场
*if`/N-q(m
temp1(3)=temp1(1)-temp1(2);
4_^[=p/R
temp1(4)=temp1(2)+1;
{ci.V*:"
top_x(i,j,3)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4));
UvJ;A
top_x(i,j,2)=top_x(i,j,3)*(-sin(psi)*cos(alpha)-cos(theta)*cos(psi)*sin(alpha)); %hx kc+1
&7>zURv
top_y(i,j,2)=top_x(i,j,3)*(cos(psi)*cos(alpha)-cos(theta)*sin(psi)*sin(alpha)); %hy kc+1
ru9zTZZD
end
O.QK"pKD\
end
Vzg=@A#
-c*\o3)
for j=1:je
2C=Q8ayvX
for k=1:ke
[}z,J"Un
temp1(1)=(iets-1)*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+k*cos(theta);
(xpn`NA
temp1(2)=floor(temp1(1)); %后边面入射 磁场
;9a 6pz<
temp1(3)=temp1(1)-temp1(2);
k N7Bd}
temp1(4)=temp1(2)+1;
=9wy/c$
back_y(3,j,k)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4));
p3(2?UO!
back_y(2,j,k)=back_y(3,j,k)*(cos(psi)*cos(alpha)-cos(theta)*sin(psi)*sin(alpha)); %hy i0-1
Dw6 fmyJ:
back_z(2,j,k)=back_y(3,j,k)*sin(theta)*sin(alpha); %hz i0-1
cU.9}-)
BuOgOYh9
temp1(1)=(iete+1)*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+k*cos(theta);
5's~>up&
temp1(2)=floor(temp1(1)); %前边面入射 磁场
Fc 6iQ
temp1(3)=temp1(1)-temp1(2);
>''U
temp1(4)=temp1(2)+1;
r! %;R?c
front_y(3,j,k)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4));
P8Qyhc
front_y(2,j,k)=front_y(3,j,k)*(cos(psi)*cos(alpha)-cos(theta)*sin(psi)*sin(alpha)); %hy ia+1
78 f$6J q
front_z(2,j,k)=front_y(3,j,k)*sin(theta)*sin(alpha); %hz ia+1
qv*7K@
end
]?+{aS-]?k
end
I/6)3su%
%***************************************************
YHXLv#8
% 更新电场 (个别地方吸收边界无需特殊考虑,所以在设置吸收边界时,循环范围还需调整)
x;s0j"`Jb
%***************************************************
bulS&dAX
ex(1:ib,2:je-1,2:ke-1)=ca*ex(1:ib,2:je-1,2:ke-1)+cb*(hz(1:ib,2:je-1,2:ke-1)-hz(1:ib,1:je-2,2:ke-1)-...
ac{?+]8}
hy(1:ib,2:je-1,2:ke-1)+hy(1:ib,2:je-1,1:ke-2))/dx;
fmX!6Kv
ey(2:ie-1,1:jb,2:ke-1)=ca*ey(2:ie-1,1:jb,2:ke-1)+cb*(hx(2:ie-1,1:jb,2:ke-1)-hx(2:ie-1,1:jb,1:ke-2)-...
fyknP)21I
hz(2:ie-1,1:jb,2:ke-1)+hz(1:ie-2,1:jb,2:ke-1))/dx;
q5DEw&UZJ
ez(2:ie-1,2:je-1,1:kb)=ca*ez(2:ie-1,2:je-1,1:kb)+cb*(hy(2:ie-1,2:je-1,1:kb)-hx(1:ie-2,2:je-1,1:kb)-...
5GzFoy)j>
hx(2:ie-1,2:je-1,1:kb)+hx(2:ie-1,1:je-2,1:kb))/dx;
T{v>-xBRy
%***************************************************
I\O\,yPhhP
% 电场连接边界条件 边界面
hX:"QXx
%***************************************************
^teq[l$;
for j=jets-1:jete-1
}H> ^o9
for k=kets-1:kete-1
Smw QET<H
ey(iets,j,k)=ey(iets,j,k)+back_z(2,j,k)*dt/epsz/dx;
I:98 $ r$
ez(iets,j,k)=ez(iets,j,k)-back_y(2,j,k)*dt/epsz/dx;
+]Zva:$#`
ey(iete,j,k)=ey(iete,j,k)-front_z(2,j,k)*dt/epsz/dx;
/] ^#b
ez(iete,j,k)=ez(iete,j,k)+front_y(2,j,k)*dt/epsz/dx;
VqSc;w
end
/YAJbr
end
=c.5874A`
for i=iets-1:iete-1
R%Y`=pK>}
for k=kets-1:kete-1
KLW n?`
ez(i,jets,k)=ez(i,jets,k)+left_x(i,2,k)*dt/epsz/dx;
c2nKPEX&5
ex(i,jets,k)=ex(i,jets,k)-left_z(i,2,k)*dt/epsz/dx;
w >; L{
ez(i,jete,k)=ez(i,jete,k)-right_x(i,2,k)*dt/epsz/dx;
w"Y` ]2
ex(i,jete,k)=ex(i,jete,k)+right_z(i,2,k)*dt/epsz/dx;
Pe73g%
end
:aCrX
end
as yZe
for j=jets-1:jete-1
tBbOY}.VD
for k=kets-1:kete-1
^TY;Zp
ex(i,j,kets)=ex(i,j,kets)+bottom_y(i,j,2)*dt/epsz/dx;
*cuuzi&
ey(i,j,kets)=ey(i,j,kets)-bottom_x(i,j,2)*dt/epsz/dx;
MK#wut
ex(i,j,kete)=ex(i,j,kete)-top_y(i,j,2)*dt/epsz/dx;
I#F!N6;
ey(i,j,kete)=ey(i,j,kete)+top_x(i,j,2)*dt/epsz/dx;
Zdc63fllM
end
`F YjQe"p
end
kR CQv-*
%***************************************************
i:]*P
% 电场连接边界条件 棱边
dP?Ge}
%***************************************************
T;TA7{B
ex(iets:iete,jets,kets)=ex(iets:iete,jets,kets)-left_z(iets:iete,2,kets)*dt/epsz/dx+...
\_V-A f{6
bottom_y(iets:iete,jets,2)*dt/epsz/dx;
"TyJP[/
ex(iets:iete,jete,kets)=ex(iets:iete,jete,kets)+right_z(iets:iete,2,kets)*dt/epsz/dx+...
Fb`a~c~s
bottom_y(iets:iete,jete,2)*dt/epsz/dx;
}@ Z56
ex(iets:iete,jete,kete)=ex(iets:iete,jete,kete)+right_z(iets:iete,2,kete)*dt/epsz/dx-...
GzXUU@p
top_y(iets:iete,jete,2)*dt/epsz/dx;
x!LQxoNF
ex(iets:iete,jets,kete)=ex(iets:iete,jets,kete)-left_z(iets:iete,2,kete)*dt/epsz/dx-...
#G" xNl
top_y(iets:iete,jets,2)*dt/epsz/dx;
)SF}2?7e
f5AjJYq1
ey(iets,jets:jete,kets)=ey(iets,jets:jete,kets)-bottom_x(iets,jets:jete,2)*dt/epsz/dx+...
8BOZh6BV
back_z(2,jets:jete,kets)*dt/epsz/dx;
GPz(j'jU
ey(iets,jets:jete,kete)=ey(iets,jets:jete,kete)+top_x(iets,jets:jete,2)*dt/epsz/dx+...
yZr M.%V
back_z(2,jets:jete,kete)*dt/epsz/dx;
P262Q&.}d
ey(iete,jets:jete,kete)=ey(iete,jets:jete,kete)+top_x(iete,jets:jete,2)*dt/epsz/dx-...
}o4N<%/+
front_z(2,jets:jete,kete)*dt/epsz/dx;
v{zMO:3
ey(iete,jets:jete,kets)=ey(iete,jets:jete,kets)-bottom_x(iete,jets:jete,2)*dt/epsz/dx-...
g[RI.&?
front_z(2,jets:jete,kets)*dt/epsz/dx;
\>LnLH(
l/TjQ*
ez(iets,jets,kets:kete)=ez(iets,jets,kets:kete)-back_y(2,jets,kets:kete)*dt/epsz/dx+...
fWfk[(M'9
left_x(iets,2,kets:kete)*dt/epsz/dx;
C?v[Z]t
ez(iete,jets,kets:kete)=ez(iete,jets,kets:kete)+front_y(2,jets,kets:kete)*dt/epsz/dx+...
&s Pq<l o
left_x(iete,2,kets:kete)*dt/epsz/dx;
`*", <
ez(iete,jete,kets:kete)=ez(iete,jete,kets:kete)+front_y(2,jete,kets:kete)*dt/epsz/dx-...
wI]"U2L5
right_x(iete,2,kets:kete)*dt/epsz/dx;
fZ04!R
ez(iets,jete,kets:kete)=ez(iets,jete,kets:kete)-back_y(2,jete,kets:kete)*dt/epsz/dx-...
gI^oU4mq
right_x(iets,2,kets:kete)*dt/epsz/dx;
R'EUV0KX>Y
%****************************************************
f"7O "6
% 电场吸收边界 边界面
@AHm!9?o
%****************************************************
4#x5MM
5pr"d@.
0"2=n.##
|(5W86C,ju
%****************************************************
@k[R/,#'[t
% 电场吸收边界 棱边
k.("3R6v:
%****************************************************
?0? R
r.3/F[.
1XM^8 .;
)[0T16
%***************************************************
]#7zk9
% 更新磁场 (个别地方吸收边界无需特殊考虑,所以在设置吸收边界时,循环范围还需调整)
_XJ2fA )
%***************************************************
f Vb-$
hx(2:ie-1,1:jb,1:kb)=cp*hx(2:ie-1,1:jb,1:kb)-cq*(ez(2:ie-1,2:jb+1,1:kb)-ez(2:ie-1,1:jb,1:kb)-...
(?_S6HE
ey(2:ie-1,1:jb,2:kb+1)+ey(2:ie-1,1:jb,1:kb))/dx;
kB?al#`
hy(1:jb,2:je-1,1:kb)=cp*hy(1:jb,2:je-1,1:kb)-cq*(ex(1:jb,2:je-1,2:kb+1)-ex(1:jb,2:je-1,1:kb)-...
O5$/55PI
ez(2:jb+1,2:je-1,1:kb)+ez(1:jb,2:je-1,1:kb))/dx;
&%})wZ+Dj
hz(1:ib,1:jb,2:ke-1)=cp*hz(1:ib,1:jb,2:ke-1)-cq*(ey(2:ib+1,1:jb,2:ke-1)-ey(1:ib,1:jb,2:ke-1)-...
G'3qzBJ#
ex(1:ib,2:jb+1,2:ke-1)+ex(1:ib,1:jb,2:ke-1))/dx;
Bm&kkx.9P
%***************************************************
g?-lk5
% 磁场连接边界条件 边界面
yFDv6yJ.
%***************************************************
~gB>) ]
for j=jets:jete
G!K]W:m
for k=kets:kete
R|O8RlH
hy(iets,j,k)=hy(iets,j,k)-back_z(1,j,k)*dt/murz/dx;
lY|Jr{+Ln
hz(iets,j,k)=hz(iets,j,k)+back_y(1,j,k)*dt/murz/dx;
s!n<}C
hy(iete,j,k)=hy(iete,j,k)+front_z(1,j,k)*dt/murz/dx;
/}Jj
hz(iete,j,k)=hz(iete,j,k)-front_y(1,j,k)*dt/murz/dx;
O3TQixE
end
.>Ljnk
end
=]:> "_jN
for i=iets:iete
5>BK%`
for k=kets:kete
'F>'(XWWQ
hz(i,jets,k)=hz(i,jets,k)-left_x(i,1,k)*dt/murz/dx;
Wu4Lxv]B4
hx(i,jets,k)=hx(i,jets,k)+left_z(i,1,k)*dt/murz/dx;
*`ZH` V
hz(i,jete,k)=hz(i,jete,k)+right_x(i,1,k)*dt/murz/dx;
f|O{#AC
hx(i,jete,k)=hx(i,jete,k)-right_z(i,1,k)*dt/murz/dx;
T] 2q?;N
end
X[f=h=|
end
iw*Nq,(
for i=iets:iete
(Qa/EkE^*w
for j=jets:jete
m[j70jYe
hx(i,j,kets)=hx(i,j,kets)-bottom_y(i,j,1)*dt/murz/dx;
ylt`*|$
hy(i,j,kets)=hy(i,j,kets)+bottom_x(i,j,1)*dt/murz/dx;
M\yT).>z
hx(i,j,kete)=hx(i,j,kete)+top_y(i,j,1)*dt/murz/dx;
0a-:<zm
hy(i,j,kete)=hy(i,j,kete)-top_x(i,j,1)*dt/murz/dx;
pZ/>[TP(%F
end
626Z5Afg
end
^G6RjJxqp8
%****************************************************
sB;@>NY
% 磁场吸收边界 边界面
9Xx's%U
%****************************************************
ZPbpp@,
7S?4XyU/o
\[Z?&
w@N
m0v:\?S:
&f&z_WU
%****************************************************
} CeCc0M
% Visualize fields
.'Y]R3\M+
%****************************************************
d&Ef"H
if mod(n,10)==0;
\&H nKhI
timestep=int2str(n);
Me 5_4H&Sg
tview(:,:)=ez(:,:,ke/2);
v4C{<8:X
sview(:,:)=ez(:,je/2,:);
,o)d3g-&g
m1Y>Nj[f
subplot(2,1,1),pcolor(tview');
]T%rjsN
shading flat;
^^5&QSB:'
caxis([-1.0 1.0]);
bV ZMW/w
colorbar;
Pp )3(T:
axis image;
! u:Weoz
title(['Ez(i,j,k=50),timestep=',timestep]);
m!<\WN6g
xlabel('i coordinate');
) $PDo 7#
ylabel('j coordinate');
9K9DF1SOa
#dM9pc jh
subplot(2,1,2),pcolor(sview');
&hRvol\J
shading flat;
NH+(?TN
caxis([-1.0 1.0]);
Yo[;W vu
colorbar;
lo[.&GD
axis image;
jQ:OKh<Y
title(['Ez(i,j=50,k),timestep=',timestep]);
ULQMG'P^D
xlabel('i coordinate');
N^3N[lD{
ylabel('k coordinate');
AhZ8 0!
,yd?gP-O
nn=n/10;
m9/}~Y#k
M(:,nn)=getframe(gcf,rect);
"HPB!)C8(
end
,?L2wl[
end
`ho1nY$)CE
movie(gcf,M,0,10,rect);
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