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时域有限差分法 FDTD
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三维时谐场——介质球的RCS计算
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三维时谐场——介质球的RCS计算
离线
zhoucheng12
UID :68095
注册:
2010-10-21
登录:
2015-03-03
发帖:
747
等级:
积极交流五级
0楼
发表于: 2011-06-27 11:19:51
下面是我整的三维时谐场——用FDTD计算介质球的RCS的程序,但是在近远场外推的时候出现了问题,怎么都跑不出图来,
`78:TU~5S
希望大家能帮我找出错误,谢谢!
SZ[,(h
IE=81;
Fs,#d%4 @%
JE=81;
qz .{[l
KE=81;
mlmp'f
ia=9;
^k7`:@ z0U
ja=9;
wZ_k]{J
ka=9;
Vo2{aK;
ic=(IE+1)/2;
[9S?
jc=(JE+1)/2;
o2C{V1nB
kc=(KE+1)/2;
1\'zq;I~
ib=IE-ia;
hH|moj]
jb=JE-ja;
O!7v&$]1
kb=KE-ka;
e MT5bn
epsz=8.8e-12;
AQH\ ;L
muz=4*pi*1e-7;
D[5Qd)PIL
lamda=0.032;
r(#]Z
freq=lamda/3e+8;
x&SG gl
%freq=30e+7;
*$eMM*4
ddx=lamda/42;
ogrh"
dt=ddx/6e+8;
#o]/&T=N=
arg=2*pi*freq*dt;
YAvOV-L
dx=zeros(IE,JE,KE);
RZ#~^5DiO
dy=zeros(IE,JE,KE);
@{|vW
dz=zeros(IE,JE,KE);
xy$agt>j>
ex=zeros(IE,JE,KE);
^mA ^7jB
ey=zeros(IE,JE,KE);
quPNwNy
ez=zeros(IE,JE,KE);
(` N@4w=
hx=zeros(IE,JE,KE);
~T_4M
hy=zeros(IE,JE,KE);
cU^Z=B
hz=zeros(IE,JE,KE);
muc>4!Q
ix=zeros(IE,JE,KE);
l6wN&JHTh
iy=zeros(IE,JE,KE);
XAb!hc
iz=zeros(IE,JE,KE);
cn~M:LW23
gax=zeros(IE,JE,KE);
zFn-VEJ)
gay=zeros(IE,JE,KE);
Xj^Hy"HC^~
gaz=zeros(IE,JE,KE);
Hmi]qK[F
gbx=zeros(IE,JE,KE);
tXgsWG?v[H
gby=zeros(IE,JE,KE);
@6N$!Q?
gbz=zeros(IE,JE,KE);
O_u2V'jy9
END=200;
bvK fxAih
e_inc=zeros(1,END);
y)B>g/Hoh
h_inc=zeros(1,END);
TC%ENxDR
e_temp=zeros(1,4);
e{"r3*
idxl=zeros(ia,JE,KE);
LR5X=&k
idxh=zeros(ia,JE,KE);
o'8`>rb
ihxl=zeros(ia,JE,KE);
6/Pw'4H9$
ihxh=zeros(ia,JE,KE);
<^APq8>
idyl=zeros(IE,ja,KE);
"?<$>\@; q
idyh=zeros(IE,ja,KE);
CQ`$' oy?W
ihyl=zeros(IE,ja,KE);
wInJ!1
ihyh=zeros(IE,ja,KE);
G{ 9p.Q
idzl=zeros(IE,JE,ka);
t%`GXJb
idzh=zeros(IE,JE,ka);
:Rq>a@Rp
ihzl=zeros(IE,JE,ka);
=/J{>S>(i
ihzh=zeros(IE,JE,ka);
m1mA:R\zM
gi1=zeros(1,IE);gi2=ones(1,IE);gi3=ones(1,IE);
,o3{?o]s
gj1=zeros(1,JE);gj2=ones(1,JE);gj3=ones(1,JE);
KG!W,tB
gk1=zeros(1,KE);gk2=ones(1,KE);gk3=ones(1,KE);
0"*!0s~
fi1=zeros(1,IE);fi2=ones(1,IE);fi3=ones(1,IE);
iIe\m V
fj1=zeros(1,JE);fj2=ones(1,JE);fj3=ones(1,JE);
ve [*t `
fk1=zeros(1,KE);fk2=ones(1,KE);fk3=ones(1,KE);
f""+jc1
sita=0*pi/180; %pointing angle
NR*s7>
fai=0*pi/180; %azimuth angle
tS2Orzc>,
arfa=0*pi/180; %polarizing angle
j~IX
sp1=sin(sita);cp1=cos(sita);
9z9EK'g
sp2=sin(fai);cp2=cos(fai);
aWe?n;
sp3=sin(arfa);cp3=cos(arfa);
0KQDw
ex_left=zeros(IE,KE);ex_right=zeros(IE,KE);
rX-V0
ex_up=zeros(IE,JE);ex_down=zeros(IE,JE);
yv@td+-"D
ey_front=zeros(JE,KE);ey_back=zeros(JE,KE);
-f+U:/'.>v
ey_up=zeros(IE,JE);ey_down=zeros(IE,JE);
d1"%sI
ez_left=zeros(IE,KE);ez_right=zeros(IE,KE);
&ZmHR^Flz
ez_front=zeros(JE,KE);ez_back=zeros(JE,KE);
t=IpVl!
hx_left=zeros(IE,KE);hx_right=zeros(IE,KE);
oY#62&wk4
hx_up=zeros(IE,JE);hx_down=zeros(IE,JE);
U49#?^?
hy_front=zeros(JE,KE);hy_back=zeros(JE,KE);
xTy[X"sJ
hy_up=zeros(IE,JE);hy_down=zeros(IE,JE);
L1'#wH
hz_left=zeros(IE,KE);hz_right=zeros(IE,KE);
HFr#Ql>g
hz_front=zeros(JE,KE);hz_back=zeros(JE,KE);
m,,FNYW
npml=4; %pml层的厚度
@.PVUP
xxn=1:-1/npml:1/npml;
`H:5D5]
xn=0.3333*xxn.^3;
)_vE"ryThA
fi1(1:npml)=xn;
Z uh!{_x;
fi1(IE:-1:IE-npml+1)=xn;
'DB4po.
gi2(1:npml)=1./(1+xn);
`H_.<``>
gi2(IE:-1:IE-npml+1)=1./(1+xn);
phT|w H
gi3(1:npml)=(1-xn)./(1+xn);
v7i5R !
gi3(IE:-1:IE-npml+1)=(1-xn)./(1+xn);
? ^EB"{
fj1(1:npml)=xn;
^,?dk![1Cv
fj1(JE:-1:JE-npml+1)=xn;
km)5?
gj2(1:npml)=1./(1+xn);
1Rrl59}5
gj2(JE:-1:JE-npml+1)=1./(1+xn);
k|Hxd^^I
gj3(1:npml)=(1-xn)./(1+xn);
\sUk71L`j
gj3(JE:-1:JE-npml+1)=(1-xn)./(1+xn);
-t<8)9q(
fk1(1:npml)=xn;
OJkiTs{
fk1(KE:-1:KE-npml+1)=xn;
)@X `B d
gk2(1:npml)=1./(1+xn);
VeJM=s.y7
gk2(KE:-1:KE-npml+1)=1./(1+xn);
%(c5T)B9
gk3(1:npml)=(1-xn)./(1+xn);
80p? qe
gk3(KE:-1:KE-npml+1)=(1-xn)./(1+xn);
LV^V`m0#
xxn=(1-0.5/npml):-1/npml:0.5/npml;
eC9nOwp]xH
xn=0.3333*xxn.^3;
!OVTs3}
gi1(1:npml)=xn;
8op,;Z7Y
gi1(IE-1:-1:IE-npml)=xn;
M7\; Y
fi2(1:npml)=1./(1+xn);
j"8 f,er
fi2(IE-1:-1:IE-npml)=1./(1+xn);
cVg!"
fi3(1:npml)=(1-xn)./(1+xn);
`YZK$ -,
fi3(IE-1:-1:IE-npml)=(1-xn)./(1+xn);
J^Dkx"1GD
gj1(1:npml)=xn;
`qNhB\
gj1(JE-1:-1:JE-npml)=xn;
|\1!*Qp
fj2(1:npml)=1./(1+xn);
dKOW5\H'
fj2(JE-1:-1:JE-npml)=1./(1+xn);
F|eKt/>e
fj3(1:npml)=(1-xn)./(1+xn);
@+9x8*~S'
fj3(JE-1:-1:JE-npml)=(1-xn)./(1+xn);
#~ :j< =o
gk1(1:npml)=xn;
&I&:
gk1(KE-1:-1:KE-npml)=xn;
63J_u-o
fk2(1:npml)=1./(1+xn);
t3~ZGOn
fk2(KE-1:-1:KE-npml)=1./(1+xn);
KKfC^g
fk3(1:npml)=(1-xn)./(1+xn);
)CYm/dk
fk3(KE-1:-1:KE-npml)=(1-xn)./(1+xn);
44uM:;
WL=42;
k,~I>qg
dT=WL/2;
Au q)
omiga=pi/WL;
YPjjSi:#
Z=sqrt(muz/epsz);
@+gr>a1K#
odist=2;
wTpjM@F?J|
iao=ia+1-odist;
1YGj^7V)|Z
jao=ja+1-odist;
] Q 'Ed
kao=ka+1-odist;
n^svRM]eQ
ibo=ib+odist;
^x! N]
jbo=jb+odist;
y5td o'Ex
kbo=kb+odist;
/_N*6a~
exi_oup=zeros(IE,JE);exr_oup=zeros(IE,JE);ex_oup=zeros(IE,JE);
#s'UA!)
exi_odown=zeros(IE,JE);exr_odown=zeros(IE,JE);ex_odown=zeros(IE,JE);
k63]Qf=5?N
eyi_oup=zeros(IE,JE);eyr_oup=zeros(IE,JE);ey_oup=zeros(IE,JE);
( 5^bU<
eyi_odown=zeros(IE,JE);eyr_odown=zeros(IE,JE);ey_odown=zeros(IE,JE);
'^TQ Ubw
exi_oleft=zeros(IE,KE);exr_oleft=zeros(IE,KE);ex_oleft=zeros(IE,KE);
EXdx$I=X
ezi_oleft=zeros(IE,KE);ezr_oleft=zeros(IE,KE);ez_oleft=zeros(IE,KE);
G lz0`z
exi_oright=zeros(IE,KE);exr_oright=zeros(IE,KE);ex_oright=zeros(IE,KE);
lw.4O^
ezi_oright=zeros(IE,KE);ezr_oright=zeros(IE,KE);ez_oright=zeros(IE,KE);
Po%+:0oX
eyi_ofront=zeros(JE,KE);eyr_ofront=zeros(JE,KE);ey_ofront=zeros(JE,KE);
f{b$Y3
ezi_ofront=zeros(JE,KE);ezr_ofront=zeros(JE,KE);ez_ofront=zeros(JE,KE);
nX@lR~g%F
eyi_oback=zeros(JE,KE);eyr_oback=zeros(JE,KE);ey_oback=zeros(JE,KE);
our$Ka31
ezi_oback=zeros(JE,KE);ezr_oback=zeros(JE,KE);ez_oback=zeros(JE,KE);
A]z~Dw3
hxi_oup=zeros(IE,JE);hxr_oup=zeros(IE,JE);hx_oup=zeros(IE,JE);
aR iD}P*V
hxi_odown=zeros(IE,JE);hxr_odown=zeros(IE,JE);hx_odown=zeros(IE,JE);
DNP%]{J
hyi_oup=zeros(IE,JE);hyr_oup=zeros(IE,JE);hy_oup=zeros(IE,JE);
*1}UK9X;
hyi_odown=zeros(IE,JE);hyr_odown=zeros(IE,JE);hy_odown=zeros(IE,JE);
PRs[!EB6
hxi_oleft=zeros(IE,KE);hxr_oleft=zeros(IE,KE);hx_oleft=zeros(IE,KE);
ST#OO!
hzi_oleft=zeros(IE,KE);hzr_oleft=zeros(IE,KE);hz_oleft=zeros(IE,KE);
%s+H& vfQs
hxi_oright=zeros(IE,KE);hxr_oright=zeros(IE,KE);hx_oright=zeros(IE,KE);
"kLu]M<
hzi_oright=zeros(IE,KE);hzr_oright=zeros(IE,KE);hz_oright=zeros(IE,KE);
ileqI/40f
hyi_ofront=zeros(JE,KE);hyr_ofront=zeros(JE,KE);hy_ofront=zeros(JE,KE);
MOiTzL*
hzi_ofront=zeros(JE,KE);hzr_ofront=zeros(JE,KE);hz_ofront=zeros(JE,KE);
MH"{N "|
hyi_oback=zeros(JE,KE);hyr_oback=zeros(JE,KE);hy_oback=zeros(JE,KE);
o3_dHbdI
hzi_oback=zeros(JE,KE);hzr_oback=zeros(JE,KE);hz_oback=zeros(JE,KE);
(&25 8i,
%%%介质球的设置
duCso M/
epsilon=[1 4];
(8[et m
%epsilon=[1 81];
8{m5P8w'
sigma=[0 0];
WBo|0(#
%sigma=[0 5];
FC' v= *
%sigma=[0 0];
X3z$f(lF%)
radius=20;
L(p{>Ykcc
for i=ia+1:ib
M^i^_}~S;
for j=ja+1:jb
j89C~xP6
for k=ka+1:kb
h";0i:
eps=epsilon(1);
H %Cb
cond=sigma(1);
l3d^V&Sk
xdist=(ic-i-0.5);
` ^rN"\
ydist=jc-j;
7e{w)m:A
zdist=kc-k;
e|`QW|9 .
dist=sqrt(xdist^2+ydist^2+zdist^2);
)1PZ#
if dist<=radius
%gF; A*
eps=epsilon(2);
Km5#$IiP;
cond=sigma(2);
E>/kNl
end
c$cb2V7,
gax(i,j,k)=1/(eps+cond*dt/epsz);
$VWeo#b
gbx(i,j,k)=cond*dt/epsz;
WUVRwJ 5
end
20 j9~+
end
QKj-"y[
end
:YL`GSl
for i=ia+1:ib
[k"@n+%
for j=ja+1:jb
9t 3mU:
for k=ka+1:kb
>dnH
eps=epsilon(1);
RXMzwk
cond=sigma(1);
?w{ lC,
xdist=ic-i;
E]^wsS>=
ydist=jc-j-0.5;
:# 1d;jx
zdist=kc-k;
+=XDNSw
dist=sqrt(xdist^2+ydist^2+zdist^2);
?2Q9z-$
if dist<=radius
HFJna2B`
eps=epsilon(2);
PT9,R^2T!
cond=sigma(2);
QB<9Be@e
end
(+@ Lnz\
gay(i,j,k)=1/(eps+cond*dt/epsz);
6Un61s
gby(i,j,k)=cond*dt/epsz;
rf2+~B{$,
end
!xU1[,9
end
mSn>
end
y"|QY!fK
for i=ia+1:ib
6x1!!X+)+
for j=ja+1:jb
$=7'Cm?
for k=ka+1:kb
~0mO<0~
eps=epsilon(1);
{Vc%g a|E
cond=sigma(1);
@yBg)1AL
xdist=ic-i;
-P;_j,~U
ydist=jc-j;
F %OA
zdist=kc-k-0.5;
*Q?ZJS~
dist=sqrt(xdist^2+ydist^2+zdist^2);
V3<baxdE
if dist<=radius
o"O=Epg
eps=epsilon(2);
c: /Wk
cond=sigma(2);
N5 BC<pu
end
K`=O!;
gaz(i,j,k)=1/(eps+cond*dt/epsz);
9uV'#sR
gbz(i,j,k)=cond*dt/epsz;
'=|2, H]
end
zJp}JO
end
ubC(%Y_k
end
8PQn=k9
real_in=0;
{-(}p+;z
imag_in=0;
@a AR99 M
%t0=40;
BPp`r_m8w}
%spread=10;
8>Y
T=1000;
/Iwnl
%N=0;
|5uvmK
%isource=floor(sqrt((ib-ia)^2+(jb-ja)^2+(kb-ka)^2));
d$>TC(E=t
isource=4;
kB|jN~
is=ja+1;
pYtG%<
for N=1:T
vvJ{fi
d(.e%[`
for j=2:END
UL81x72O
e_inc(j)=e_inc(j)+0.5*(h_inc(j-1)-h_inc(j));
mv7><C
end
zEG6T *
D&Xh|}2A
%real_in=real_in+cos(arg*T)*e_inc(ja-1);
\a:#e%]qz9
%imag_in=imag_in-sin(arg*T)*e_inc(ja-1);
%SKp<>;9
,o$F~KPu
%pulse=exp(-0.5*((t0-T)/spread)^2);
(=v :@\r
pulse=sin(arg*N);
L5%t.7B
e_inc(isource)=pulse;
XcOfQs
P8tpbdZE-
e_inc(1)=e_temp(1);
"}_b,5lkGK
e_temp(1)=e_temp(2);
Eei"baw/
e_temp(2)=e_inc(2);
o:H^ L,<Tl
e_inc(END)=e_temp(3);
hdL/zW7]
e_temp(3)=e_temp(4);
<qG4[W,[
e_temp(4)=e_inc(END-1);
)E--E+j
C- Aiv@@<=
%%% Calculate Incident component on connected edge
pwg$% lv
%%% up/down connect edge
.A;e`cKb
for i=ia+1:ib
[>5<&[A
for j=ja+1:jb
d|GQZAEJEt
k=kb;
=x9SvIm/tH
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
c/l%:!A
w=dr-floor(dr);
dP>~ExYtm
ein=(1-w)*e_inc(is+floor(dr))+w*e_inc(is+floor(dr)+1);
~H[
ex_up(i,j)=ein*(sp2*cp3-cp1*cp2*sp3);
<eU1E}BDQ
/}G+PUk7
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
%2 A-u
w=dr-floor(dr);
K>=KsG
ein=(1-w)*e_inc(is+floor(dr))+w*e_inc(is+floor(dr)+1);
a;=)`
ey_up(i,j)=ein*(-cp2*cp3-cp1*sp2*sp3);
yN9k-IPI
z/IA @
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
i/ED_<_Vg
w=dr-floor(dr);
CqMm'6;$a}
hin=(1-w)*h_inc(is+floor(dr))+w*h_inc(is+floor(dr)+1);
{!? @u?M
hx_up(i,j)=hin*(sp2*sp3+cp1*cp2*cp3);
)tH.P: 1~,
~U] "dbQ
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
R+'$V$g\X
w=dr-floor(dr);
:}QBrd
hin=(1-w)*h_inc(is+floor(dr))+w*h_inc(is+floor(dr)+1);
F`/-Q>Q
hy_up(i,j)=hin*(-cp2*sp3+cp1*sp2*cp3);
3\x@G)1
end
j]-0m4QF
end
grvm2`u
]V|rOt xb
for i=ia+1:ib
+D[|Mi
for j=ja+1:jb
qPh @Bl3
k=ka+1;
S6k R o^2
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
-^ )0c
w=dr-floor(dr);
W'aZw9
ein=(1-w)*e_inc(is+floor(dr))+w*e_inc(is+floor(dr)+1);
gZa/?[+
ex_down(i,j)=ein*(sp2*cp3-cp1*cp2*sp3);
Yt]tRqrh;T
gN2$;hb?
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
D?+\"lI
w=dr-floor(dr);
8nt3Sm
ein=(1-w)*e_inc(is+floor(dr))+w*e_inc(is+floor(dr)+1);
|Z]KF>S]
ey_down(i,j)=ein*(-cp2*cp3-cp1*sp2*sp3);
r57&F`{
#nK38W#
k=ka;
$;kFuJF
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
~0}gRpMW
w=dr-floor(dr);
"Di27Rq
hin=(1-w)*h_inc(is+floor(dr))+w*h_inc(is+floor(dr)+1);
;[-OMGr]#
hx_down(i,j)=hin*(sp2*sp3+cp1*cp2*cp3);
c$Vu/dgx
1J`<'{*
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
nz{ ;]U1
w=dr-floor(dr);
l@;UwnI
hin=(1-w)*h_inc(is+floor(dr))+w*h_inc(is+floor(dr)+1);
9YpgzCx Z
hy_down(i,j)=hin*(-cp2*sp3+cp1*sp2*cp3);
;kSRv=S
end
nkI+"$Rz0
end
bsfYz
`Aa}q(}k
%%% left/right connect edge
}tq
for i=ia+1:ib
9Fo00"q
for k=ka+1:kb
`pMI@"m
j=ja+1;
#Tc]L<."
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
r[doN{%
w=dr-floor(dr);
$8/=@E{51
ein=(1-w)*e_inc(is+floor(dr))+w*e_inc(is+floor(dr)+1);
BZS%p
ex_left(i,k)=ein*(sp2*cp3-cp1*cp2*sp3);
*QKxrg
oXC|q-(C
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
]><K8N3Z
w=dr-floor(dr);
n$2IaE;v
ein=(1-w)*e_inc(is+floor(dr))+w*e_inc(is+floor(dr)+1);
8Zj=:;
ez_left(i,k)=ein*(sp1*sp3);
hv)>HU&
W''%{A/'
j=ja;
%bu$t,
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
AcZ{B<
w=dr-floor(dr);
eAU0 8gM.
hin=(1-w)*h_inc(is+floor(dr))+w*h_inc(is+floor(dr)+1);
vY 0EffZ
hx_left(i,k)=hin*(sp2*sp3+cp1*cp2*cp3);
ew13qpt)<L
x)35}mi){L
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
`IP?w&k)
w=dr-floor(dr);
\a<7DTV
hin=(1-w)*h_inc(is+floor(dr))+w*h_inc(is+floor(dr)+1);
jL9g.q4^
hz_left(i,k)=hin*(-sp1*cp3);
YmrrZ&]q
end
JD`IPQb~E
end
L/ L#[
TLcev*
for i=ia+1:ib
&a;{ed1B
for k=ka+1:kb
R07]{
j=jb;
Dno]N
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
NCrNlHIF
w=dr-floor(dr);
6?;U[eV
ein=(1-w)*e_inc(is+floor(dr))+w*e_inc(is+floor(dr)+1);
BiFU3FlTf
ex_right(i,k)=ein*(sp2*cp3-cp1*cp2*sp3);
_Y{8FN(4
UL{+mp
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
_f5>r (1Q
w=dr-floor(dr);
OD@k9I[
ein=(1-w)*e_inc(is+floor(dr))+w*e_inc(is+floor(dr)+1);
y4\(ynk
ez_right(i,k)=ein*(sp1*sp3);
Tu!2lHK;
OC?a[^hB^)
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
QN4{xf:}S
w=dr-floor(dr);
*B4?(&0
hin=(1-w)*h_inc(is+floor(dr))+w*h_inc(is+floor(dr)+1);
Vy.gr4Cm
hx_right(i,k)=hin*(sp2*sp3+cp1*cp2*cp3);
\ltbiDP2
fL^$G;_?3
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
Z\YCjs%
w=dr-floor(dr);
-_*ux!
hin=(1-w)*h_inc(is+floor(dr))+w*h_inc(is+floor(dr)+1);
{GH0> 1&
hz_right(i,k)=hin*(-sp1*cp3);
m|') A
end
^}w@&Bje
end
X!aC6gujOH
u%t/W0xi
%%% front/back connect edge
O]-)?y/
for j=ja+1:jb
Yvi.l6JL
for k=ka+1:kb
'hoEdJ]t5
i=ib;
tPp9=e2[s
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
ojc m%yd
w=dr-floor(dr);
l|kGp~
ein=(1-w)*e_inc(is+floor(dr))+w*e_inc(is+floor(dr)+1);
OLH[F
ey_front(j,k)=ein*(-cp2*cp3-cp1*sp2*sp3);
N8[ &1
v}cTS@0
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
qjBF]3%t%
w=dr-floor(dr);
c-jE1y<
ein=(1-w)*e_inc(is+floor(dr))+w*e_inc(is+floor(dr)+1);
RJ\'"XQ
ez_front(j,k)=ein*(sp1*sp3);
Sg &0a$
V=i/cI\
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
0~a9gBG
w=dr-floor(dr);
ugu|?z*dI
hin=(1-w)*h_inc(is+floor(dr))+w*h_inc(is+floor(dr)+1);
ff;9P5X
hy_front(j,k)=hin*(-cp2*sp3+cp1*sp2*cp3);
Ub,5~I+`
9QXBz=Fnf
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
>='y+68
w=dr-floor(dr);
ut*sx9l
hin=(1-w)*h_inc(is+floor(dr))+w*h_inc(is+floor(dr)+1);
MyZ5~jnr\
hz_front(j,k)=hin*(-sp1*cp3);
e 2"<3
end
<)68ol~<
end
+$uQ_ve
A!^ d8#~.
for j=ja+1:jb
@u>:(9bp
for k=ka+1:kb
/f*QxNZ,p
i=ia+1;
Z|#G+$"QV
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
nF5\iV
w=dr-floor(dr);
;aj4V<@
ein=(1-w)*e_inc(is+floor(dr))+w*e_inc(is+floor(dr)+1);
7Dt*++:
ey_back(j,k)=ein*(-cp2*cp3-cp1*sp2*sp3);
qWdob>u
4)Bk:K
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
g[c_rty
w=dr-floor(dr);
J16t&Ha`
ein=(1-w)*e_inc(is+floor(dr))+w*e_inc(is+floor(dr)+1);
h5o6G1ur
ez_back(j,k)=ein*(sp1*sp3);
$etw'c0
yI{4h $c
i=ia;
*Cj<Vy
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
kEYkd@{
w=dr-floor(dr);
rq#\x{l
hin=(1-w)*h_inc(is+floor(dr))+w*h_inc(is+floor(dr)+1);
;f!}vo<;
hy_back(j,k)=hin*(-cp2*sp3+cp1*sp2*cp3);
"C]v
iW?z2%#
dr=(i-ia-1)*sp1*cp2+(j-ja-1)*sp1*sp2+(k-ka-1)*cp1;
On~w`
w=dr-floor(dr);
eqY8;/
hin=(1-w)*h_inc(is+floor(dr))+w*h_inc(is+floor(dr)+1);
gcA,u)z}R
hz_back(j,k)=hin*(-sp1*cp3);
e"d-$$'e
end
Nx;Oz
end
T5_/*`F
@e#{Sm
%%% Dx
I3.cy i
for j=2:JE
\H4$9lPk
for k=2:KE
p 2>\
for i=2:ia
WvoJ^{\4N*
curl_h=hz(i,j,k)-hz(i,j-1,k)-hy(i,j,k)+hy(i,j,k-1);
TpGnSD
idxl(i,j,k)=idxl(i,j,k)+curl_h;
N Zu2D
dx(i,j,k)=gj3(j)*gk3(k)*dx(i,j,k)+gj2(j)*gk2(k)*0.5*(curl_h+gi1(i)*idxl(i,j,k));
O>@ChQF
end
Q,LDn%+;B*
for i=ia+1:ib
HhZ>/5'(
curl_h=hz(i,j,k)-hz(i,j-1,k)-hy(i,j,k)+hy(i,j,k-1);
=h>jo&=Wad
dx(i,j,k)=gj3(j)*gk3(k)*dx(i,j,k)+gj2(j)*gk2(k)*0.5*curl_h;
,%T sfB
end
D[ v2#2
for i=ib+1:IE
'QdDXw5o
ixh=i-ib;
ysH'X95
curl_h=hz(i,j,k)-hz(i,j-1,k)-hy(i,j,k)+hy(i,j,k-1);
jmBsPSGIC
idxh(ixh,j,k)=idxh(ixh,j,k)+curl_h;
:^En\YcU
dx(i,j,k)=gj3(j)*gk3(k)*dx(i,j,k)+gj2(j)*gk2(k)*0.5*(curl_h+gi1(i)*idxh(ixh,j,k));
yog(
end
LOEiV
end
K'c[r0Ew
end
]<BT+6L
"Ng%"Nz
for i=ia+1:ib-1
xFScj0Y
for k=ka+1:kb
5F78)qu6N
dx(i,ja+1,k)=dx(i,ja+1,k)-0.5*hz_left(i,k);
m4on<5s/
dx(i,jb,k)=dx(i,jb,k)+0.5*hz_right(i,k);
M:*)l(
end
iu iVr$E
end
rqWD#FB=z
5v[2R.eT-
for i=ia+1:ib-1
w }=LC#le
for j=ja+1:jb
ts/Ha*h
dx(i,j,ka+1)=dx(i,j,ka+1)+0.5*hy_down(i,j);
mhgvN-? "h
dx(i,j,kb)=dx(i,j,kb)-0.5*hy_up(i,j);
M,vCAZ
end
c6Z"6-}$
end
7PbwCRg
{O!B8a
%%% Dy
*5KDu$'(e
for i=2:IE
3rj7]:Vr
for k=2:KE
B'-n ^';
for j=2:ja
u#+Is4Vh
curl_h=hx(i,j,k)-hx(i,j,k-1)-hz(i,j,k)+hz(i-1,j,k);
=/+f3
idyl(i,j,k)=idyl(i,j,k)+curl_h;
S[e> 8
dy(i,j,k)=gi3(i)*gk3(k)*dy(i,j,k)+gi2(i)*gk2(k)*0.5*(curl_h+gj1(j)*idyl(i,j,k));
v05$"Ig
end
`D? &)Y
for j=ja+1:jb
j" 5 +"j
curl_h=hx(i,j,k)-hx(i,j,k-1)-hz(i,j,k)+hz(i-1,j,k);
no,b_0@N
dy(i,j,k)=gi3(i)*gk3(k)*dy(i,j,k)+gi2(i)*gk2(k)*0.5*curl_h;
?&JKq^9\I
end
Tl L,dPM
for j=jb+1:JE
EX/{W$ &K
jyh=j-jb;
$EnBigb!
curl_h=hx(i,j,k)-hx(i,j,k-1)-hz(i,j,k)+hz(i-1,j,k);
-`CE;
idyh(i,jyh,k)=idyh(i,jyh,k)+curl_h;
BC)1FxsGf
dy(i,j,k)=gi3(i)*gk3(k)*dy(i,j,k)+gi2(i)*gk2(k)*0.5*(curl_h+gj1(j)*idyh(i,jyh,k));
b?j\YX[e
end
G.:QA}FE'
end
Y~B-dx'V
end
2Ah B)8bG
Xd@ d$
for i=ia+1:ib
HE:]zH
for j=ja+1:jb-1
7n[0)XR>
dy(i,j,ka+1)=dy(i,j,ka+1)-0.5*hx_down(i,j);
MmQk@~
dy(i,j,kb)=dy(i,j,kb)+0.5*hx_up(i,j);
J(5#fo{Q.g
end
6Zx)L|B
end
HP,{/ $i:
^4C djMF-E
for j=ja+1:jb-1
GGU>={D)
for k=ka+1:kb
}E^k*S
dy(ia+1,j,k)=dy(ia+1,j,k)+0.5*hz_back(j,k);
x3l~k Z(
dy(ib,j,k)=dy(ib,j,k)-0.5*hz_front(j,k);
Hyb_>n
end
wW, n~W
end
Y^QG\6q
}BWT21'-Y
%%% Dz
C ~Doj
for i=2:IE
5i-VnG
for j=2:JE
.1:B\R((
for k=2:ka
.naSK`J,`
curl_h=hy(i,j,k)-hy(i-1,j,k)-hx(i,j,k)+hx(i,j-1,k);
(z:qj/|
idzl(i,j,k)=idzl(i,j,k)+curl_h;
8'Iei78Ov
dz(i,j,k)=gi3(i)*gj3(j)*dz(i,j,k)+gi2(i)*gj2(j)*0.5*(curl_h+gk1(k)*idzl(i,j,k));
Zg3 /,:1
end
EvptGM
for k=ka+1:kb
Z4dl'v)9
curl_h=hy(i,j,k)-hy(i-1,j,k)-hx(i,j,k)+hx(i,j-1,k);
b/d1(B@
dz(i,j,k)=gi3(i)*gj3(j)*dz(i,j,k)+gi2(i)*gj2(j)*0.5*curl_h;
|~B` [p]5H
end
"..I$R
for k=kb+1:KE
moCR64n
kzh=k-kb;
I&f!>y?,Z
curl_h=hy(i,j,k)-hy(i-1,j,k)-hx(i,j,k)+hx(i,j-1,k);
'F^1)Ga$
idzh(i,j,kzh)=idzh(i,j,kzh)+curl_h;
D$Ao-6QE W
dz(i,j,k)=gi3(i)*gj3(j)*dz(i,j,k)+gi2(i)*gj2(j)*0.5*(curl_h+gk1(k)*idzh(i,j,kzh));
g*;zVi
end
ub]s>aqy
end
- WQ)rz
end
^|(VI0KO
ZKJhmk
for i=ia+1:ib
0|| 5r#
for k=ka+1:kb-1
OCu/w1bc
dz(i,ja+1,k)=dz(i,ja+1,k)+0.5*hx_left(i,k);
+t8#rT ^B
dz(i,jb,k)=dz(i,jb,k)-0.5*hx_right(i,k);
Y+DVwz$
end
@!*I mNMI
end
<q`|,mc
6J <.i
for j=ja+1:jb
s;#,c(
for k=ka+1:kb-1
A"6&
dz(ia+1,j,k)=dz(ia+1,j,k)-0.5*hy_back(j,k);
xk7VuS*
dz(ib,j,k)=dz(ib,j,k)+0.5*hy_front(j,k);
M9.FtQhK/
end
t;}`~B
end
0py29>"t
! u9LZ
%%% Calculate E from D
?(Xy 2%v
for i=2:IE-1
$U"pdf
for j=2:JE-1
:Q}Zb,32
for k=2:KE-1
T%yGSk
ex(i,j,k)=gax(i,j,k)*(dx(i,j,k)-ix(i,j,k));
~!P&LZ
ix(i,j,k)=ix(i,j,k)+gbx(i,j,k)*ex(i,j,k);
8(]q/g"O
-Np}<O`./
ey(i,j,k)=gay(i,j,k)*(dy(i,j,k)-iy(i,j,k));
C,B{7s0-
iy(i,j,k)=iy(i,j,k)+gby(i,j,k)*ey(i,j,k);
EUbyQL
deOk>v&U
ez(i,j,k)=gaz(i,j,k)*(dz(i,j,k)-iz(i,j,k));
^@)*voP#G
iz(i,j,k)=iz(i,j,k)+gbz(i,j,k)*ez(i,j,k);
x$z>.4
end
i)(-Ad_
end
^;[^L=}8$
end
A&V'WahC@I
y;fnC5Q
%%% Calculate the Fourier transform of Ex
= O|}R
oK3PA
%%% Calculate the Incident field
a28`)17z
for j=1:END-1
d wku6lCk
h_inc(j)=h_inc(j)+0.5*(e_inc(j)-e_inc(j+1));
-0+h&CO
end
I:M15
hX:yn:P~
%%% Hx
;P^}2i[q>[
for j=1:JE-1
|?v+8QL,;t
for k=1:KE-1
n2Y a'YF
for i=1:ia
}"STc&1
curl_e=ey(i,j,k+1)-ey(i,j,k)-ez(i,j+1,k)+ez(i,j,k);
P"|-)d
ihxl(i,j,k)=ihxl(i,j,k)+curl_e;
A#gy[.Bb
hx(i,j,k)=fj3(j)*fk3(k)*hx(i,j,k)+fj2(j)*fk2(k)*0.5*(curl_e+fi1(i)*ihxl(i,j,k));
h>A~yDT[
end
usw(]CnH
for i=ia+1:ib
bZ}T;!U?I
curl_e=ey(i,j,k+1)-ey(i,j,k)-ez(i,j+1,k)+ez(i,j,k);
\eXuNv_
hx(i,j,k)=fj3(j)*fk3(k)*hx(i,j,k)+fj2(j)*fk2(k)*0.5*curl_e;
GQYB2{e>
end
,WE2MAjhT
for i=ib+1:IE
cvC 7#i[G
ixh=i-ib;
2LS91
curl_e=ey(i,j,k+1)-ey(i,j,k)-ez(i,j+1,k)+ez(i,j,k);
'VV"$`Fu"
ihxh(ixh,j,k)=ihxh(ixh,j,k)+curl_e;
v)~!HCG
hx(i,j,k)=fj3(j)*fk3(k)*hx(i,j,k)+fj2(j)*fk2(k)*0.5*(curl_e+fi1(i)*ihxh(ixh,j,k));
$49;\pBZl
end
CYdYa|
end
6M[OEI5
end
or(P?Ro
%<1_\N7
for i=ia+1:ib
t\O#5mo
for k=ka+1:kb-1
4JL]?75
hx(i,ja,k)=hx(i,ja,k)+0.5*ez_left(i,k);
UYGO|lkEU
hx(i,jb,k)=hx(i,jb,k)-0.5*ez_right(i,k);
|`d-;pk!%
end
eC_i]q&o|
end
>6|Xvtf
HE-ErEtGB
for i=ia+1:ib
MC1&X'
for j=ja+1:jb-1
q:mqA$n
hx(i,j,ka)=hx(i,j,ka)-0.5*ey_down(i,j);
{d%hkbN+{
hx(i,j,kb)=hx(i,j,kb)+0.5*ey_up(i,j);
(d['f]S+&
end
F#z1 sl'
end
PJAM_K;
+*G<xW :M
%%% Hy
dvLL~VP
for i=1:IE-1
_pkmHj(
for k=1:KE-1
]) #?rRw
for j=1:ja
QG5c>Q
curl_e=ez(i+1,j,k)-ez(i,j,k)-ex(i,j,k+1)+ex(i,j,k);
=WK's8FB;8
ihyl(i,j,k)=ihyl(i,j,k)+curl_e;
Y8/&1s_
hy(i,j,k)=fi3(i)*fk3(k)*hy(i,j,k)+fi2(i)*fk2(k)*0.5*(curl_e+fj1(j)*ihyl(i,j,k));
0y%s\,PsT
end
d~y]7h |
for j=ja+1:jb
:H/Rhx=
curl_e=ez(i+1,j,k)-ez(i,j,k)-ex(i,j,k+1)+ex(i,j,k);
<1<0 odB
hy(i,j,k)=fi3(i)*fk3(k)*hy(i,j,k)+fi2(i)*fk2(k)*0.5*curl_e;
d!y_N&z|(
end
IO"q4(&;P4
for j=jb+1:JE
OG^#e+
jyh=j-jb;
wq]vcY9^
curl_e=ez(i+1,j,k)-ez(i,j,k)-ex(i,j,k+1)+ex(i,j,k);
8-9<r
ihyh(i,jyh,k)=ihyh(i,jyh,k)+curl_e;
T/tC X[}
hy(i,j,k)=fi3(i)*fk3(k)*hy(i,j,k)+fi2(i)*fk2(k)*0.5*(curl_e+fj1(j)*ihyh(i,jyh,k));
'JJ :
end
juMHc$d17
end
WL;2&S/{@
end
< Q6
&H%z1Lp
for i=ia+1:ib-1
_xM3c&VeG
for j=ja+1:jb
h5lngw
hy(i,j,ka)=hy(i,j,ka)+0.5*ex_down(i,j);
V=E5pB`Pr
hy(i,j,kb)=hy(i,j,kb)-0.5*ex_up(i,j);
o[g]Va*8
end
^ R3g7 DG
end
TlC??#
w}?,N
for j=ja+1:jb
|5*:ThC[
for k=ka+1:kb-1
&