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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:
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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!
RH+'"f
ie为x方向格子数+1,je,ke分别为y、z方向
ns{BU->f
left_x(i,1,k)存储左侧面ex值,其他的类似!
) ag8]
mM&*_#( 6
for i=1:ie
%dyE F8)
for k=1:ke
"HuV'
temp1(1)=i*sin(theta)*cos(psi)+jets*cos(theta)*sin(psi)+k*cos(psi);
[ NSsT>C
temp1(2)=floor(temp1(1)); %左表面 电场
2`-y zm
temp1(3)=temp1(1)-temp1(2);
D~< 3
temp1(4)=temp1(2)+1;
JpFfO<uO
left_x(i,1,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
?-"%%#
left_x(i,1,k)=left_x(i,1,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
`?X=@
left_z(i,1,k)=-left_x(i,1,k)*sin(theta)*cos(alpha);
,s?7EHtC
ikSm;.
temp1(1)=i*sin(theta)*cos(psi)+jete*cos(theta)*sin(psi)+k*cos(psi);
*i}Nb*Z3
temp1(2)=floor(temp1(1)); %右边面 电场
eTV%+
temp1(3)=temp1(1)-temp1(2);
-RSPYQjz
temp1(4)=temp1(2)+1;
2!Mwui;%
right_x(i,1,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
Q|^TR__
right_x(i,1,k)=right_x(i,1,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
+&w=*IAKZ
right_z(i,1,k)=-right_x(i,1,k)*sin(theta)*cos(alpha);
]T3dZ`-(
end
A=v^`a03I
end
|+ ^-b}0
UP@a ?w
for i=1:ie
m}x&]">9
for j=1:je
:[#~,TW
temp1(1)=i*sin(theta)*cos(psi)+j*cos(theta)*sin(psi)+kets*cos(psi);
:OF:(,J
temp1(2)=floor(temp1(1)); %下边面 电场
x}w"2[fL
temp1(3)=temp1(1)-temp1(2);
| Q Y_ci
temp1(4)=temp1(2)+1;
w_gPX0N}3n
bottom_x(i,j,1)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
0NN{2"M$p
bottom_x(i,j,1)=bottom_x(i,j,1)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
/<HEcB
bottom_y(i,j,1)=bottom_x(i,j,1)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
tPT\uD#t
#b~wIOR)Z
temp1(1)=i*sin(theta)*cos(psi)+j*cos(theta)*sin(psi)+kete*cos(psi);
XYKWOrkQqa
temp1(2)=floor(temp1(1)); %上边面 电场
78s:~|WB<{
temp1(3)=temp1(1)-temp1(2);
HlkG^:)
temp1(4)=temp1(2)+1;
gZ5E%']sT
top_x(i,j,1)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
Dn6 k,nVh
top_x(i,j,1)=top_x(i,j,1)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
2 us-s
top_y(i,j,1)=top_x(i,j,1)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
;FO1b*
end
C3Hq&TVf/
end
09f:%!^u
?D].Za^km
for j=1:je
{L!w/Ie X
for k=1:ke
pP4i0mO{Dv
temp1(1)=iets*sin(theta)*cos(psi)+j*cos(theta)*sin(psi)+k*cos(psi);
G%a8'3d,
temp1(2)=floor(temp1(1)); %后边面 电场
yAu-BObD
temp1(3)=temp1(1)-temp1(2);
M>mk=-l
temp1(4)=temp1(2)+1;
_L6WbRu|
back_y(1,j,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
h48JpZ"
back_y(1,j,k)=back_y(1,j,k)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
}HM8VAH
back_z(1,j,k)=-back_y(1,j,k)*sin(theta)*cos(alpha);
zS@"ITy
Jl"),;Od
temp1(1)=iete*sin(theta)*cos(psi)+j*cos(theta)*sin(psi)+k*cos(psi);
*3yeMxa
temp1(2)=floor(temp1(1)); ..
Q9lw~"
vZdn
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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!
Z@fMU2e=Z
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));
jovI8Dw >
left_x(i,1,k)=left_x(i,1,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
&U%AVD[
left_z(i,1,k)=-left_x(i,1,k)*sin(theta)*cos(alpha);
?zW4|0
xMNUyB{?
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
N_o|2
clc
L43]0k
%***************************************
cMZ-
%基本参数
6}JW- sA
%****************************************
u;Rm/.
cz=2.99792456e8;
rp_Aw
murz=4.0*pi*1.0e-7;
[J\! 2\Oo
epsz=1.0/(cz*cz*murz);
z/P^Bx]r
freq0=1.15*1.0e10; %激发源的频率
3R?6{.
omega0=2*pi*freq0; %入射波的角速度
neBcS[
lambda=cz/freq0; %激发源中心波长
Xf6\{
psi=45*pi/180; %入射波方向在xoy平面内与x轴的夹角
!.cno&
theta=45*pi/180; %入射波方向与z轴夹角
)u>/:
alpha=45*pi/180; %入射波为线性极化,alpha为极化角
c.{t +OR
incidentstart=1; %入射波开始位置
["BD,mB
incidentend=1000;
,7os3~Mk9
source=20;
!V27ln KP+
t=2*pi/omega0; %入射波周期
j}aU*p~N
z=(murz/epsz)^0.5; %特征阻抗
W8N__
%***********************************************
7*C>4Gs
%格子参数
%(ms74R+
%***********************************************
E5Zxp3 N
ie=100;
%T,cR>lw
je=100;
XJ6=Hg4_O
ke=100;
cL+bMM$4r~
ib=ie-1; %x方向格子大小
a_(fqoW
jb=je-1; %y方向格子大小
&pFP=|Pq
kb=ke-1; %z方向格子大小
B#, TdP]/
XFi!=|F
iet=80; %x方向总场大小
Z_(P^/
jet=80; %y方向总场大小
PL*1-t?#
ket=80; %z方向总场大小
Cm%xI&Y
ibt=iet-1;
FB }8
jbt=iet-1;
V2o1~R~
kbt=ket-1;
~vV+)KI
P*g:rg
iets=(ie-iet)/2+1; %x轴方向,总场的开始位置
fD~f_Wr
iete=ie-(ie-iet)/2; %x轴方向,总场的结束位置
nq 9{{oe
jets=(je-jet)/2+1; %y轴方向,总场的开始位置
Gq =i-I
jete=je-(je-jet)/2; %y轴方向,总场的结束位置
>p>B-m
kets=(ke-ket)/2+1; %z轴方向,总场的开始位置
[WUd9fUL
kete=ke-(ke-ket)/2; %z轴方向,总场的结束位置
$^5c8wT
60X))MyN
dx=lambda/100;
V*%Lc9<d
dt=0.95*dx/(cz*2^0.5);
m~R Me9Qi
ca=1;
,r,$x4*
cb=dt/epsz;
get$r5
cp=1;
b@ OF
cq=dt/murz;
n0vhc; d
tmax=1000;
#<81`%
%*******************************************
rOTxD/
%场的初始场强
Co^GsUJ
%*******************************************
@XN*H- |
ex=zeros(ib,je,ke); %ex场
@,;VMO
ey=zeros(ie,jb,ke);
i/j eb*d0
ez=zeros(ie,je,kb);
D[Kq`
hx=zeros(ie,jb,kb);
.q5WK#^
hy=zeros(ib,je,kb);
4=C7V,a
hz=zeros(ib,jb,ke);
m/p:W/0L
ein=zeros((incidentend-incidentstart+1),1);
>vZ^D
hin=zeros((incidentend-incidentstart),1);
!CUX13/0
temp=zeros(2,1); %处理一维的入射波
Rd,5&X$
temp1=zeros(4,1); %处理连接边界投影
EeDK ^W8N
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
r#\Lq;+-B
back_z=zeros(2,je,ke);
a]t| /Mq
front_y=zeros(3,je,ke);
@2/xu
front_z=zeros(2,je,ke);
UUR` m
left_z=zeros(ie,2,ke);
OY,iz
left_x=zeros(ie,3,ke);
6I-Qq?L[H
right_z=zeros(ie,2,ke);
j%Wip j;c
right_x=zeros(ie,3,ke);
>slGicZ0
top_y=zeros(ie,je,2);
DpvMY94Qh
top_x=zeros(ie,je,3);
G%XjDxo$I
bottom_y=zeros(ie,je,2);
Z3N^)j8
bottom_x=zeros(ie,je,3);
u$ a7
>"<<hjKJ
aB2t /ua
_.+2sm
%***********************************************
gh<2i\})'
% Movie initialization
Ybp';8V
%***********************************************
uU!}/mbo
tview(:,:)=ez(:,:,ke/2);
nRh.;G
sview(:,:)=ez(:,je/2,:);
3)_(t.$D
;3 /*Z5p
subplot(2,1,1),pcolor(tview');
M&5De{LS}
shading flat;
cjc1iciZ
caxis([-1.0 1.0]);
H'x)[2
colorbar;
;bYLQ
axis image;
YjzGF=g#
title(['Ez(i,j,k=50),timestep=0']);
!b?`TUt
xlabel('i coordinate');
JqP~2,T
ylabel('j coordinate');
kA{eT
*B%ulsm
subplot(2,1,2),pcolor(sview');
Xr]<v%,C
shading flat;
-jcgxQH53
caxis([-1.0 1.0]);
{LqahO*
colorbar;
>L,Pw1Y0W[
axis image;
.Gn-`
title(['Ez(i,j=50,k),timestep=0']);
ANlzF&K
xlabel('i coordinate');
i?]`9 z
ylabel('k coordinate');
0<u(!iL
4N_iHe5U
rect=get(gcf,'Position');
_&K>fy3t&
rect(1:2)=[0 0];
RFT`r
M=moviein(tmax/1,gcf,rect);
fea4Ul{ib
%**********************************************
bI+ TFOP
% 开始时间的
*5q_fO
%**********************************************
f_;6uCCO
for n=1:tmax
k@9CDwh*s
%**********************************
:\IZ-
% 产生入射波
4&wwmAp^
%**********************************
@9\L|O'~?
hin(incidentstart:incidentend-1)=hin(incidentstart:incidentend-1)-...
df7 xpV
(ein(incidentstart+1:incidentend)-ein(incidentstart:incidentend-1))*dt/murz/dx;
Zz^!QlF
ein(incidentstart+1:incidentend-1)=ein(incidentstart+1:incidentend-1)-...
/(?,S{]
(hin(incidentstart+1:incidentend-1)-hin(incidentstart:incidentend-2))*dt/epsz/dx;
6&[rATU+
ein(source,1)=1*sin(omega0*n*dt);
Ae^Idz
ein(incidentstart)=temp(1)+(ein(incidentstart+1)-ein(incidentstart))*(cz*dt-dx)/(cz*dt+dx);
4nU+Wj?T
temp(1)=ein(incidentstart+1);
yN9setw*,M
ein(incidentend)=temp(2)+(ein(incidentend-1)-ein(incidentend))*(cz*dt-dx)/(cz*dt+dx);
*s (L!+
temp(2)=ein(incidentend-1);
%d2\4{{S
%**********************************
57`9{.HB
% 将连接边界投影到一维的入射波上
A ?ij
%**********************************
9 $Ud\
for i=1:ie
j[Oh>yG
for k=1:ke
OJXK]dZ
temp1(1)=i*sin(theta)*cos(psi)+jets*sin(theta)*sin(psi)+k*cos(theta);
lj"72
temp1(2)=floor(temp1(1)); %左表面入射 电场
6+W`:0je
temp1(3)=temp1(1)-temp1(2);
k*!f@ M
temp1(4)=temp1(2)+1;
K%3{a=1
left_x(i,3,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
)|IMhB+4
left_x(i,1,k)=left_x(i,3,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
LseS8F/q
left_z(i,1,k)=-left_x(i,3,k)*sin(theta)*cos(alpha);
C#:L.qK
3;f}w g
temp1(1)=i*sin(theta)*cos(psi)+jete*sin(theta)*sin(psi)+k*cos(theta);
2_CJV
temp1(2)=floor(temp1(1)); %右边面入射 电场
{/q4W; D
temp1(3)=temp1(1)-temp1(2);
lJdwbuB6
temp1(4)=temp1(2)+1;
+dJLT}I8M
right_x(i,3,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
/}R*'y
right_x(i,1,k)=right_x(i,3,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
+|6 u 0&R^
right_z(i,1,k)=-right_x(i,3,k)*sin(theta)*cos(alpha);
xv~EwT)
end
7|^5E*8/
end
=O'>H](Q
?f4jqF~Fh
for i=1:ie
2F|06E'
for j=1:je
TRku(w1f
temp1(1)=i*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+kets*cos(theta);
'-vzQ d@y
temp1(2)=floor(temp1(1)); %下边面入射 电场
M:cW/&ZJ
temp1(3)=temp1(1)-temp1(2);
YHfk; FI
temp1(4)=temp1(2)+1;
f ]DO2r
bottom_x(i,j,3)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
q*d@5
bottom_x(i,j,1)=bottom_x(i,j,3)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
BOWR}n!g
bottom_y(i,j,1)=bottom_x(i,j,3)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
<BhNmEo)2
>;Vy{bL8
temp1(1)=i*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+kete*cos(theta);
@%4tWE
temp1(2)=floor(temp1(1)); %上边面入射 电场
t[HA86X
temp1(3)=temp1(1)-temp1(2);
|$sMzPCxOk
temp1(4)=temp1(2)+1;
+~!\;71:f
top_x(i,j,3)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
(VB-5&b
top_x(i,j,1)=top_x(i,j,3)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha));
xOBzT&
top_y(i,j,1)=top_x(i,j,3)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
V^qkHm e
end
9s`j@B0N57
end
ILMXWw
Cbjx{
for j=1:je
#ByrX\
for k=1:ke
Q}kXxud
temp1(1)=iets*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+k*cos(theta);
IT0 [;eqR
temp1(2)=floor(temp1(1)); %后边面入射 电场
K&UTs$_cI
temp1(3)=temp1(1)-temp1(2);
q+cx.Rc#
temp1(4)=temp1(2)+1;
TY*uK
back_y(3,j,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
b";D*\=x
back_y(1,j,k)=back_y(3,j,k)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
%tT=q^%5
back_z(1,j,k)=-back_y(3,j,k)*sin(theta)*cos(alpha);
8 CCA}lOG
GOj<>h}r
temp1(1)=iete*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+k*cos(theta);
"t:9jU
temp1(2)=floor(temp1(1)); %前边面入射 电场
wSIfqf+y
temp1(3)=temp1(1)-temp1(2);
w6@8cNXK
temp1(4)=temp1(2)+1;
RinaGeim
front_y(3,j,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4));
l@<yC-Xd
front_y(1,j,k)=front_y(3,j,k)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha));
ZmzYJ$:6
front_z(1,j,k)=-front_y(3,j,k)*sin(theta)*cos(alpha);
al{}p
end
2pV@CT
end
#*x8)6Ct
K4j2xSGeo
for i=1:ie
J6J|&Z~UT,
for k=1:ke
$\vTiS'
temp1(1)=i*sin(theta)*cos(psi)+(jets-1)*sin(theta)*sin(psi)+k*cos(theta);
lt{yo\
temp1(2)=floor(temp1(1)); %左表面入射 磁场
YLFM3IaP
temp1(3)=temp1(1)-temp1(2);
-|YDKcL
temp1(4)=temp1(2)+1;
:Kx6|83
left_x(i,3,k)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4));
)sG/H8
left_x(i,2,k)=left_x(i,3,k)*(-sin(psi)*cos(alpha)-cos(theta)*cos(psi)*sin(alpha)); %hx j0-1
Bxs0m]
left_z(i,2,k)=left_x(i,3,k)*sin(theta)*sin(alpha); %hz j0-1
Nk@a g)
oz#;7 ?9
temp1(1)=i*sin(theta)*cos(psi)+(jete+1)*sin(theta)*sin(psi)+k*cos(theta);
V jZx{1kCR
temp1(2)=floor(temp1(1)); %右边面入射 磁场
UY`U[#
temp1(3)=temp1(1)-temp1(2);
MH h;>tw
temp1(4)=temp1(2)+1;
T;Zv^:]0
right_x(i,3,k)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4));
Olltu"u
right_x(i,2,k)=right_x(i,3,k)*(-sin(psi)*cos(alpha)-cos(theta)*cos(psi)*sin(alpha)); %hx jb+1
:Mzkm^7B
right_z(i,2,k)=right_x(i,3,k)*sin(theta)*sin(alpha); %hz jb+1
VY_<c 98v
end
^>tqg^
end
xI,7ld~
bZd)4
for i=1:ie
#xe-Yw1!
for j=1:je
;.#l[
temp1(1)=i*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+(kets-1)*cos(theta);
,'^^OLez
temp1(2)=floor(temp1(1)); %下边面入射 磁场
Ub% 1OQ
temp1(3)=temp1(1)-temp1(2);
8w L%(p
temp1(4)=temp1(2)+1;
Fa^I 1fk
bottom_x(i,j,3)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4));
xe9V'wICp(
bottom_x(i,j,2)=bottom_x(i,j,3)*(-sin(psi)*cos(alpha)-cos(theta)*cos(psi)*sin(alpha)); %hx k0-1
v&}^8j
bottom_y(i,j,2)=bottom_x(i,j,3)*(cos(psi)*cos(alpha)-cos(theta)*sin(psi)*sin(alpha)); %hy k0-1
'1[Bbs
pjrzoMF
temp1(1)=i*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+(kete+1)*cos(theta);
tk~<tqMq
temp1(2)=floor(temp1(1)); %上边面入射 磁场
3iv;4e ;
temp1(3)=temp1(1)-temp1(2);
r E<Ou"
temp1(4)=temp1(2)+1;
ZG bY
top_x(i,j,3)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4));
y -=YX qj
top_x(i,j,2)=top_x(i,j,3)*(-sin(psi)*cos(alpha)-cos(theta)*cos(psi)*sin(alpha)); %hx kc+1
ns`njx}C
top_y(i,j,2)=top_x(i,j,3)*(cos(psi)*cos(alpha)-cos(theta)*sin(psi)*sin(alpha)); %hy kc+1
+Qo]'xKr
end
GK8x<Aq%z
end
1-:{&!
;@lC08SE
for j=1:je
I%gDqfdL
for k=1:ke
$hE,BeQ
temp1(1)=(iets-1)*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+k*cos(theta);
04P!l
temp1(2)=floor(temp1(1)); %后边面入射 磁场
BIeeu@p
temp1(3)=temp1(1)-temp1(2);
VVVw\|JB>
temp1(4)=temp1(2)+1;
2:tO "
back_y(3,j,k)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4));
i)mQ?Y#o
back_y(2,j,k)=back_y(3,j,k)*(cos(psi)*cos(alpha)-cos(theta)*sin(psi)*sin(alpha)); %hy i0-1
g*[DyIm
back_z(2,j,k)=back_y(3,j,k)*sin(theta)*sin(alpha); %hz i0-1
|"o/GUI~
<WGx 6{
temp1(1)=(iete+1)*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+k*cos(theta);
J~(M%] &k^
temp1(2)=floor(temp1(1)); %前边面入射 磁场
D?6ah=:&R
temp1(3)=temp1(1)-temp1(2);
ZZ@1l
temp1(4)=temp1(2)+1;
yjB.-o('
front_y(3,j,k)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4));
*7:HO{P>Y
front_y(2,j,k)=front_y(3,j,k)*(cos(psi)*cos(alpha)-cos(theta)*sin(psi)*sin(alpha)); %hy ia+1
ra>jVE0`
front_z(2,j,k)=front_y(3,j,k)*sin(theta)*sin(alpha); %hz ia+1
)9? ^;HS
end
+u]L#].;
end
*hZ{>
%***************************************************
YpwMfl4
% 更新电场 (个别地方吸收边界无需特殊考虑,所以在设置吸收边界时,循环范围还需调整)
aFtL_# U
%***************************************************
l>iE1`iL<
ex(1:ib,2:je-1,2:ke-1)=ca*ex(1:ib,2:je-1,2:ke-1)+cb*(hz(1:ib,2:je-1,2:ke-1)-hz(1:ib,1:je-2,2:ke-1)-...
XX;MoE~MM
hy(1:ib,2:je-1,2:ke-1)+hy(1:ib,2:je-1,1:ke-2))/dx;
`8<h aU
ey(2:ie-1,1:jb,2:ke-1)=ca*ey(2:ie-1,1:jb,2:ke-1)+cb*(hx(2:ie-1,1:jb,2:ke-1)-hx(2:ie-1,1:jb,1:ke-2)-...
PAHkF&
hz(2:ie-1,1:jb,2:ke-1)+hz(1:ie-2,1:jb,2:ke-1))/dx;
9&7$oI$!J
ez(2:ie-1,2:je-1,1:kb)=ca*ez(2:ie-1,2:je-1,1:kb)+cb*(hy(2:ie-1,2:je-1,1:kb)-hx(1:ie-2,2:je-1,1:kb)-...
#5/.n.X"
hx(2:ie-1,2:je-1,1:kb)+hx(2:ie-1,1:je-2,1:kb))/dx;
&&er7_Q
%***************************************************
JtGBNz!"
% 电场连接边界条件 边界面
mjXO}q7
%***************************************************
'>0rp\jC
for j=jets-1:jete-1
iqh"sx{5bp
for k=kets-1:kete-1
)7TuV"
ey(iets,j,k)=ey(iets,j,k)+back_z(2,j,k)*dt/epsz/dx;
VT~jgsY
ez(iets,j,k)=ez(iets,j,k)-back_y(2,j,k)*dt/epsz/dx;
(J,^)!g7
ey(iete,j,k)=ey(iete,j,k)-front_z(2,j,k)*dt/epsz/dx;
;JAb8dyS2
ez(iete,j,k)=ez(iete,j,k)+front_y(2,j,k)*dt/epsz/dx;
O0cKmh6=
end
/%9CR'%*c
end
Ub9p&=]h
for i=iets-1:iete-1
=!Ce#p?h,
for k=kets-1:kete-1
cO^}A(Ma(
ez(i,jets,k)=ez(i,jets,k)+left_x(i,2,k)*dt/epsz/dx;
jg+q{ ^
ex(i,jets,k)=ex(i,jets,k)-left_z(i,2,k)*dt/epsz/dx;
-lNT"9
ez(i,jete,k)=ez(i,jete,k)-right_x(i,2,k)*dt/epsz/dx;
P K9BowlW
ex(i,jete,k)=ex(i,jete,k)+right_z(i,2,k)*dt/epsz/dx;
kjOPsz*0
end
DP<[Uz&
end
3IHA+Zz
for j=jets-1:jete-1
'awZ-$#
for k=kets-1:kete-1
?84B0K2Ns
ex(i,j,kets)=ex(i,j,kets)+bottom_y(i,j,2)*dt/epsz/dx;
Z%1{B*(e
ey(i,j,kets)=ey(i,j,kets)-bottom_x(i,j,2)*dt/epsz/dx;
?)i`)mu'
ex(i,j,kete)=ex(i,j,kete)-top_y(i,j,2)*dt/epsz/dx;
-/z #?J\
ey(i,j,kete)=ey(i,j,kete)+top_x(i,j,2)*dt/epsz/dx;
R7j'XU
end
jpI=B
end
Mw9;O6
%***************************************************
t9(sSl
% 电场连接边界条件 棱边
>UDb:N[
%***************************************************
oNK-^N?-T
ex(iets:iete,jets,kets)=ex(iets:iete,jets,kets)-left_z(iets:iete,2,kets)*dt/epsz/dx+...
nD/; Gq
bottom_y(iets:iete,jets,2)*dt/epsz/dx;
O~=|6#c
ex(iets:iete,jete,kets)=ex(iets:iete,jete,kets)+right_z(iets:iete,2,kets)*dt/epsz/dx+...
6nP-IKL
bottom_y(iets:iete,jete,2)*dt/epsz/dx;
UYW{AG2C
ex(iets:iete,jete,kete)=ex(iets:iete,jete,kete)+right_z(iets:iete,2,kete)*dt/epsz/dx-...
pR*)\@ma
top_y(iets:iete,jete,2)*dt/epsz/dx;
[H&Z /.{F
ex(iets:iete,jets,kete)=ex(iets:iete,jets,kete)-left_z(iets:iete,2,kete)*dt/epsz/dx-...
_hbTxyj
top_y(iets:iete,jets,2)*dt/epsz/dx;
#mvOhu
=V(|3?N
ey(iets,jets:jete,kets)=ey(iets,jets:jete,kets)-bottom_x(iets,jets:jete,2)*dt/epsz/dx+...
Q\k|pg?
back_z(2,jets:jete,kets)*dt/epsz/dx;
B9(e"cMm
ey(iets,jets:jete,kete)=ey(iets,jets:jete,kete)+top_x(iets,jets:jete,2)*dt/epsz/dx+...
B9Y*'hmI
back_z(2,jets:jete,kete)*dt/epsz/dx;
R}VEq gq
ey(iete,jets:jete,kete)=ey(iete,jets:jete,kete)+top_x(iete,jets:jete,2)*dt/epsz/dx-...
_8eN^oc%
front_z(2,jets:jete,kete)*dt/epsz/dx;
>;M?f!
ey(iete,jets:jete,kets)=ey(iete,jets:jete,kets)-bottom_x(iete,jets:jete,2)*dt/epsz/dx-...
p?qW;1
front_z(2,jets:jete,kets)*dt/epsz/dx;
NwB;9ZhZ
pXBlTZf
ez(iets,jets,kets:kete)=ez(iets,jets,kets:kete)-back_y(2,jets,kets:kete)*dt/epsz/dx+...
NP?hoqeKs
left_x(iets,2,kets:kete)*dt/epsz/dx;
r"aJ&~8::W
ez(iete,jets,kets:kete)=ez(iete,jets,kets:kete)+front_y(2,jets,kets:kete)*dt/epsz/dx+...
p@Ng.HE
left_x(iete,2,kets:kete)*dt/epsz/dx;
w=MiJr#3^
ez(iete,jete,kets:kete)=ez(iete,jete,kets:kete)+front_y(2,jete,kets:kete)*dt/epsz/dx-...
q;0QI{:5v
right_x(iete,2,kets:kete)*dt/epsz/dx;
q]r?s%x
ez(iets,jete,kets:kete)=ez(iets,jete,kets:kete)-back_y(2,jete,kets:kete)*dt/epsz/dx-...
|E=8
right_x(iets,2,kets:kete)*dt/epsz/dx;
<sNkyQ
%****************************************************
Y]-7T-*+t
% 电场吸收边界 边界面
>ho$mvT
%****************************************************
/ig'p53jL
SB}0u=5
Se>"=[=
(iO8[
%****************************************************
Z;4pI@u
% 电场吸收边界 棱边
!1<?ddH6
%****************************************************
}:f \!b
g Xi& S
uxsfQ%3`#
~D$?.,=l
%***************************************************
C.rLog#
% 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)
etk@ j3#
%***************************************************
:SD^?.W\iT
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)-...
J0Ik@
ey(2:ie-1,1:jb,2:kb+1)+ey(2:ie-1,1:jb,1:kb))/dx;
e"]*^Q
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)-...
&Y/Myh[P
ez(2:jb+1,2:je-1,1:kb)+ez(1:jb,2:je-1,1:kb))/dx;
[sF z ;Py]
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)-...
U#{^29ik=o
ex(1:ib,2:jb+1,2:ke-1)+ex(1:ib,1:jb,2:ke-1))/dx;
^N`bA8
%***************************************************
pcl'!8&7
% 磁场连接边界条件 边界面
2^.qKY@g@
%***************************************************
s)<^YASg
for j=jets:jete
U9ZWSDs
for k=kets:kete
pz]T9ol~
hy(iets,j,k)=hy(iets,j,k)-back_z(1,j,k)*dt/murz/dx;
1deNrmp%
hz(iets,j,k)=hz(iets,j,k)+back_y(1,j,k)*dt/murz/dx;
4EtP|
hy(iete,j,k)=hy(iete,j,k)+front_z(1,j,k)*dt/murz/dx;
1y)|m63&
hz(iete,j,k)=hz(iete,j,k)-front_y(1,j,k)*dt/murz/dx;
>nA6w$
end
@+(TM5Ub
end
knU=#
for i=iets:iete
~Vf+@_G8`
for k=kets:kete
S+7:fu2?+
hz(i,jets,k)=hz(i,jets,k)-left_x(i,1,k)*dt/murz/dx;
map#4\
hx(i,jets,k)=hx(i,jets,k)+left_z(i,1,k)*dt/murz/dx;
*'&mcEpg
hz(i,jete,k)=hz(i,jete,k)+right_x(i,1,k)*dt/murz/dx;
8LZmr|/F*
hx(i,jete,k)=hx(i,jete,k)-right_z(i,1,k)*dt/murz/dx;
6;8Jy
end
aO'lk
end
asQXl#4r
for i=iets:iete
Nt^9N #+N
for j=jets:jete
q;{# ~<"+
hx(i,j,kets)=hx(i,j,kets)-bottom_y(i,j,1)*dt/murz/dx;
_xVtB1@kLM
hy(i,j,kets)=hy(i,j,kets)+bottom_x(i,j,1)*dt/murz/dx;
ds9L4zfO
hx(i,j,kete)=hx(i,j,kete)+top_y(i,j,1)*dt/murz/dx;
6x$1En
hy(i,j,kete)=hy(i,j,kete)-top_x(i,j,1)*dt/murz/dx;
alB[/.1
end
>lg-j-pV
end
pf'-(W+
%****************************************************
Mw,7+
% 磁场吸收边界 边界面
f3u^:6U~
%****************************************************
8H})Dq%d 7
bw\a\/Dw
{Hp*BE
4LfD{-_uW
5C^oqUZ
@C34^\aH+
%****************************************************
=5QP'Qt{O
% Visualize fields
X\dPQwasM
%****************************************************
o;D[F
if mod(n,10)==0;
b9(_bsc
timestep=int2str(n);
Hve'Z,X
tview(:,:)=ez(:,:,ke/2);
N-g=_86C"
sview(:,:)=ez(:,je/2,:);
28N v'
!gm;g}]szG
subplot(2,1,1),pcolor(tview');
Vs0T*4C=n
shading flat;
.2V`sg.!
caxis([-1.0 1.0]);
hb_J.Q
colorbar;
]*M-8_D
axis image;
B]xZ 4Y
title(['Ez(i,j,k=50),timestep=',timestep]);
D:yj#&I
xlabel('i coordinate');
K4V\Jj1l
ylabel('j coordinate');
.7"]/9oB
`J(im
subplot(2,1,2),pcolor(sview');
<E`Ygac
shading flat;
C~&~Ano,
caxis([-1.0 1.0]);
viP.G/(\]
colorbar;
3TDjWW;#~
axis image;
nM?mdb
title(['Ez(i,j=50,k),timestep=',timestep]);
>hcze<^S
xlabel('i coordinate');
D$wl.r
ylabel('k coordinate');
,%zU5 hh
j~ )GZV
nn=n/10;
>#Obhs|S{C
M(:,nn)=getframe(gcf,rect);
5[py{Gq
end
kkz{;OW
end
/I>o6 CI
movie(gcf,M,0,10,rect);
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