[已解决]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？

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！ DRm`y>.  
ie为x方向格子数+1，je，ke分别为y、z方向 h.K"v5I*  
left_x(i,1,k)存储左侧面ex值，其他的类似！ g "Du]_,  
3r+c&^  
for i=1:ie dUa>XkPa\2  
        for k=1:ke 2gO@   
            temp1(1)=i*sin(theta)*cos(psi)+jets*cos(theta)*sin(psi)+k*cos(psi); wb62($  
            temp1(2)=floor(temp1(1));                                %左表面  电场 IoOOS5a  
            temp1(3)=temp1(1)-temp1(2); h.R46:  
            temp1(4)=temp1(2)+1; )]q Qgc&  
            left_x(i,1,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4)); 5!A:xV]6]  
            left_x(i,1,k)=left_x(i,1,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha)); ]8%E'd  
            left_z(i,1,k)=-left_x(i,1,k)*sin(theta)*cos(alpha); K@=u F1?  
            1_{e*=/y  
            temp1(1)=i*sin(theta)*cos(psi)+jete*cos(theta)*sin(psi)+k*cos(psi); }i^
M<A O  
            temp1(2)=floor(temp1(1));                                %右边面  电场 c!\T0XtT  
            temp1(3)=temp1(1)-temp1(2); 3?j:M]fR  
            temp1(4)=temp1(2)+1; >/\TG8t,f  
            right_x(i,1,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4)); J#C4A]A  
            right_x(i,1,k)=right_x(i,1,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha)); % WDTnEm  
            right_z(i,1,k)=-right_x(i,1,k)*sin(theta)*cos(alpha); X% 05[N  
        end s~Ivq+ipr;  
    end AsE77AUA  
        #EUT"^:d  
    for i=1:ie (km $qX  
        for j=1:je kHr-UJ!  
            temp1(1)=i*sin(theta)*cos(psi)+j*cos(theta)*sin(psi)+kets*cos(psi); 7HW:;2dL  
            temp1(2)=floor(temp1(1));                                %下边面  电场 3A^AEO  
            temp1(3)=temp1(1)-temp1(2); T&[6  
            temp1(4)=temp1(2)+1; ?<4pYEP  
            bottom_x(i,j,1)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4)); <VD7(j]'^  
            bottom_x(i,j,1)=bottom_x(i,j,1)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha)); y2+f)Xp_.C  
            bottom_y(i,j,1)=bottom_x(i,j,1)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha)); ;!f~  
            :2xGfy??  
            temp1(1)=i*sin(theta)*cos(psi)+j*cos(theta)*sin(psi)+kete*cos(psi); 4RDY_HgF6  
            temp1(2)=floor(temp1(1));                                %上边面  电场 =b*GV6b  
            temp1(3)=temp1(1)-temp1(2); S8AbLl9G@>  
            temp1(4)=temp1(2)+1; &v0]{)PO  
            top_x(i,j,1)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4)); <k8WnA ~Fl  
            top_x(i,j,1)=top_x(i,j,1)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha)); "Q+wO+}6  
            top_y(i,j,1)=top_x(i,j,1)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha)); F1BvDplQ>G  
        end dCM&Yf}K  
    end ]*zG*.C  
mRAt5a#is  
    for j=1:je cr-5t4<jK  
        for k=1:ke =XQGg`8<LB  
            temp1(1)=iets*sin(theta)*cos(psi)+j*cos(theta)*sin(psi)+k*cos(psi); B ZU@W%E  
            temp1(2)=floor(temp1(1));                                %后边面  电场 !x-__[#  
            temp1(3)=temp1(1)-temp1(2); v`mB82s  
            temp1(4)=temp1(2)+1; 4~1
b  
            back_y(1,j,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4)); #akJhy@m$  
            back_y(1,j,k)=back_y(1,j,k)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha)); axmq/8X  
            back_z(1,j,k)=-back_y(1,j,k)*sin(theta)*cos(alpha); .BJoY <P*  
            neu<zSS  
            temp1(1)=iete*sin(theta)*cos(psi)+j*cos(theta)*sin(psi)+k*cos(psi); CRCy)AS,t  
            temp1(2)=floor(temp1(1));                           
.. j)8$hK/e0.  
j.6!T'$|  

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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！

自己顶一下！ c*axw%Us  
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！

中间一项本来就是sin（theta）

            left_x(i,1,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4)); Kn?h  
            left_x(i,1,k)=left_x(i,1,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha)); |_s,]:  
            left_z(i,1,k)=-left_x(i,1,k)*sin(theta)*cos(alpha); 8{icY|:MTN  
  BlT)hG(M>  
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！

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！

明天就回家了，再来顶顶！

有空看看。

我曾经推导过，我想看看你的程序吧

clear JH*fxG  
clc BDLJDyf B  
%*************************************** w!-MMT4y  
%基本参数 uw(Ml=  
%**************************************** QwL*A `@  
cz=2.99792456e8; -B#K}xL|x  
murz=4.0*pi*1.0e-7; Nw1Bn~yx<R  
epsz=1.0/(cz*cz*murz); yw{r:fy  
freq0=1.15*1.0e10;            %激发源的频率 >X*Y jv:r  
omega0=2*pi*freq0;            %入射波的角速度 TSVlZy~Xo  
lambda=cz/freq0;              %激发源中心波长 2Sk"S/4}Z  
psi=45*pi/180;                %入射波方向在xoy平面内与x轴的夹角 k]~$AaNq  
theta=45*pi/180;              %入射波方向与z轴夹角 5F#FC89Kk  
alpha=45*pi/180;              %入射波为线性极化，alpha为极化角
pl/ek0QX  
incidentstart=1;              %入射波开始位置 Z/d {v:)  
incidentend=1000; @mb'!r  
source=20; z<gII~%  
t=2*pi/omega0;                %入射波周期 stiYC#bI:  
z=(murz/epsz)^0.5;            %特征阻抗 wj5,_d)  
%*********************************************** 1fC)&4W  
%格子参数 T8d=@8g,%  
%*********************************************** /T+%q#4  
ie=100;                     `26.+>Z7  
je=100;                     JL>DRIR%NV  
ke=100;                         [I/ZzDMX
 
ib=ie-1;                     %x方向格子大小 x=kJlGT  
jb=je-1;                     %y方向格子大小 `U&'71B^  
kb=ke-1;                     %z方向格子大小 @!^Y_q  
,aIkiT  
iet=80;                     %x方向总场大小 Uyxn+j5  
jet=80;                     %y方向总场大小 *X^C+F  
ket=80;                     %z方向总场大小 _&S
;*?K.  
ibt=iet-1; { SDnVV  
jbt=iet-1; 
./^8L(  
kbt=ket-1; BqUwvB4  
uh% J  
iets=(ie-iet)/2+1;          %x轴方向,总场的开始位置 >pe!T aBN  
iete=ie-(ie-iet)/2;         %x轴方向,总场的结束位置   0.2stBw  
jets=(je-jet)/2+1;          %y轴方向,总场的开始位置 AGKT*l.-  
jete=je-(je-jet)/2;         %y轴方向,总场的结束位置 .`(YCn?\  
kets=(ke-ket)/2+1;          %z轴方向,总场的开始位置 ;aD?BD__Z  
kete=ke-(ke-ket)/2;         %z轴方向,总场的结束位置 \S&OAe/b  
Zr=B8wuT  
dx=lambda/100; gtT&97tT<  
dt=0.95*dx/(cz*2^0.5); <{@D^L6h  
ca=1; 1(RRjT9  
cb=dt/epsz; _>;{+XRX[  
cp=1; /1$u|Gs *  
cq=dt/murz; i0*Cs#(=h  
tmax=1000; h<8c{RuoZC  
%******************************************* C](djkA$  
%场的初始场强 ;mC|>wSZ  
%******************************************* y]+[o1]-c  
ex=zeros(ib,je,ke);           %ex场 Mpco8b-b  
ey=zeros(ie,jb,ke); s_^N=3Si   
ez=zeros(ie,je,kb); {Ppb ;  
hx=zeros(ie,jb,kb); >[:qJ|i%  
hy=zeros(ib,je,kb); ei"c|/pO  
hz=zeros(ib,jb,ke); Q)lD2  
ein=zeros((incidentend-incidentstart+1),1); 53d`+an2  
hin=zeros((incidentend-incidentstart),1); IiJ$Ng  
temp=zeros(2,1);                    %处理一维的入射波   )>"pm{g2  
temp1=zeros(4,1);                   %处理连接边界投影 '=xO?2U-Z  
back_y=zeros(3,je,ke);              %处理后表面的连接边界，其中1为电场2为磁场3临时时储存r’以下同 ,X;$-.  
back_z=zeros(2,je,ke); _18Z]XtX  
front_y=zeros(3,je,ke); g"kET]KP"  
front_z=zeros(2,je,ke); |o*qZ}6  
left_z=zeros(ie,2,ke); lY2~{Y|4s  
left_x=zeros(ie,3,ke); 2#
#mVEo.(  
right_z=zeros(ie,2,ke); _+H $Pa}?  
right_x=zeros(ie,3,ke); h7@%}<%  
top_y=zeros(ie,je,2); ;C=V-r  
top_x=zeros(ie,je,3); m)?0;9bt  
bottom_y=zeros(ie,je,2); \(;u
[  
bottom_x=zeros(ie,je,3); ` N R,8F  
:$gs7<z{rm  
ynZEJKo  
S)W?W}*R\  
%*********************************************** _8-T?j**   
% Movie initialization ma!C:C9#J  
%*********************************************** =sefT@<  
tview(:,:)=ez(:,:,ke/2); W]_a_5  
sview(:,:)=ez(:,je/2,:); _wX(OB  
~)[pL(4  
subplot(2,1,1),pcolor(tview'); .o,-a>jL  
shading flat; dLeos9M:  
caxis([-1.0 1.0]); m,J IId%O  
colorbar;  R0
F [  
axis image; Sw$/Z)1K&  
title(['Ez(i,j,k=50),timestep=0']); UEt78eN  
xlabel('i coordinate'); D>
ou,  
ylabel('j coordinate'); ;uv$>Fauk  
AK%&Kq&PaY  
subplot(2,1,2),pcolor(sview'); z`I%3U5(  
shading flat; g0;
;+z  
caxis([-1.0 1.0]); 5|>ms)[RQ  
colorbar; 7/_|/4&  
axis image; QMmZvz\^  
title(['Ez(i,j=50,k),timestep=0']); uFhPNR2l  
xlabel('i coordinate'); L/,gD.h^  
ylabel('k coordinate'); #W l^!)#j?  
E:
+r.r"Y  
rect=get(gcf,'Position'); 9ZR"Lo>3e+  
rect(1:2)=[0 0]; Qh6vH9(D  
M=moviein(tmax/1,gcf,rect); x]?V*Jz  
%********************************************** -3wid1SOm  
% 开始时间的 qs= i+  
%********************************************** tFX<"cAvK  
for n=1:tmax "u&7Y:)^wr  
    %********************************** x\yr~$}(J  
    % 产生入射波 <P&X0S`O  
    %********************************** iTs"RW  
    hin(incidentstart:incidentend-1)=hin(incidentstart:incidentend-1)-... w5rtYTI  
        (ein(incidentstart+1:incidentend)-ein(incidentstart:incidentend-1))*dt/murz/dx; ^,?>6O  
    ein(incidentstart+1:incidentend-1)=ein(incidentstart+1:incidentend-1)-... .sOZ"=tW  
        (hin(incidentstart+1:incidentend-1)-hin(incidentstart:incidentend-2))*dt/epsz/dx; &5sPw^{,H  
    ein(source,1)=1*sin(omega0*n*dt); SG&H^V8  
    ein(incidentstart)=temp(1)+(ein(incidentstart+1)-ein(incidentstart))*(cz*dt-dx)/(cz*dt+dx); G`&P|xYg  
    temp(1)=ein(incidentstart+1); p_e x  
    ein(incidentend)=temp(2)+(ein(incidentend-1)-ein(incidentend))*(cz*dt-dx)/(cz*dt+dx); VS>hi~j  
    temp(2)=ein(incidentend-1); {f*{dSm9b  
    %********************************** HZS.%+2  
    % 将连接边界投影到一维的入射波上 qu]a+cYY  
    %**********************************   U3v~R4  
    for i=1:ie &B=z*m  
        for k=1:ke CdcBE.%<  
            temp1(1)=i*sin(theta)*cos(psi)+jets*sin(theta)*sin(psi)+k*cos(theta); n
D)SR  
            temp1(2)=floor(temp1(1));                                %左表面入射  电场 Zy{hYHQ  
            temp1(3)=temp1(1)-temp1(2); rg#/kd<?[V  
            temp1(4)=temp1(2)+1; yd'cLZd<}  
            left_x(i,3,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4)); 5p:2gsk  
            left_x(i,1,k)=left_x(i,3,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha)); B<h4ZK%  
            left_z(i,1,k)=-left_x(i,3,k)*sin(theta)*cos(alpha); rM6S%rS  
             {{[@ X  
            temp1(1)=i*sin(theta)*cos(psi)+jete*sin(theta)*sin(psi)+k*cos(theta); 45iO2W uur  
            temp1(2)=floor(temp1(1));                                %右边面入射  电场 ,I+O;B:0  
            temp1(3)=temp1(1)-temp1(2); aHI~@  
            temp1(4)=temp1(2)+1; 3,{;wJ Z  
            right_x(i,3,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4)); 30(e6T;  
            right_x(i,1,k)=right_x(i,3,k)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha)); !U(KQ:j  
            right_z(i,1,k)=-right_x(i,3,k)*sin(theta)*cos(alpha); 7lJ8<EP9 u  
        end D+
oV( Pw,  
    end b j<T`M!  
         -;RAW1]}Y$  
    for i=1:ie S$R=!3* "V  
        for j=1:je PJe\PGh  
            temp1(1)=i*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+kets*cos(theta); fIatp  
            temp1(2)=floor(temp1(1));                                %下边面入射  电场 1DL+=-  
            temp1(3)=temp1(1)-temp1(2); hp}rCy|01  
            temp1(4)=temp1(2)+1; K;s`  
            bottom_x(i,j,3)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4)); 'd;aAG  
            bottom_x(i,j,1)=bottom_x(i,j,3)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha)); z&um9rXR  
            bottom_y(i,j,1)=bottom_x(i,j,3)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha)); a8%T*mk(  
             6& hiW]Adm  
            temp1(1)=i*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+kete*cos(theta); &9.3-E47*  
            temp1(2)=floor(temp1(1));                                %上边面入射  电场 E5c)\ D  
            temp1(3)=temp1(1)-temp1(2); 5H 1x-b  
            temp1(4)=temp1(2)+1; @T.F/Pjhc  
            top_x(i,j,3)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4)); h"}F3E  
            top_x(i,j,1)=top_x(i,j,3)*(-sin(psi)*sin(alpha)+cos(theta)*cos(psi)*cos(alpha)); ~)X;z"y%b  
            top_y(i,j,1)=top_x(i,j,3)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha)); #^ .G^d(=  
        end `ZP[-:`  
    end ]^{5`  
#.Ly  
    for j=1:je VeQ [A?pER  
        for k=1:ke a{%EHL,F  
            temp1(1)=iets*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+k*cos(theta); (5[#?_~  
            temp1(2)=floor(temp1(1));                                %后边面入射  电场 qEdY]t   
            temp1(3)=temp1(1)-temp1(2); YY'[PXP$Y  
            temp1(4)=temp1(2)+1; >SYOtzg%  
            back_y(3,j,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4)); Y
hAO  
            back_y(1,j,k)=back_y(3,j,k)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha)); 5"q{b1  
            back_z(1,j,k)=-back_y(3,j,k)*sin(theta)*cos(alpha); ^r]-v++  
             6Q+VW_~  
            temp1(1)=iete*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+k*cos(theta); Qt^6w}&  
            temp1(2)=floor(temp1(1));                                %前边面入射  电场 P/]8+_K  
            temp1(3)=temp1(1)-temp1(2); ]#q$i[Y  
            temp1(4)=temp1(2)+1; T:CWxusL  
            front_y(3,j,k)=(1-temp1(3))*ein(temp1(2))+temp1(3)*ein(temp1(4)); gB,Q4acjj  
            front_y(1,j,k)=front_y(3,j,k)*(cos(psi)*sin(alpha)+cos(theta)*sin(psi)*cos(alpha)); !4t%\N6Ib  
            front_z(1,j,k)=-front_y(3,j,k)*sin(theta)*cos(alpha); r.:f.AY{  
        end ,p\*cHB9  
    end 0&r}
'f?  
     ,c;#~y  
     for i=1:ie @e7_&EGR?  
        for k=1:ke F%{z EANm  
            temp1(1)=i*sin(theta)*cos(psi)+(jets-1)*sin(theta)*sin(psi)+k*cos(theta); AO5a  
            temp1(2)=floor(temp1(1));                                %左表面入射  磁场 &;GoCU Le  
            temp1(3)=temp1(1)-temp1(2); WFS6N.Ap  
            temp1(4)=temp1(2)+1; _nw\
ac#*  
            left_x(i,3,k)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4)); B8upv~U6  
            left_x(i,2,k)=left_x(i,3,k)*(-sin(psi)*cos(alpha)-cos(theta)*cos(psi)*sin(alpha));      %hx  j0-1 $Df1t  
            left_z(i,2,k)=left_x(i,3,k)*sin(theta)*sin(alpha);                                      %hz  j0-1                                       2Y=Q%  
             #}Ays#wA>?  
            temp1(1)=i*sin(theta)*cos(psi)+(jete+1)*sin(theta)*sin(psi)+k*cos(theta); =umF C[.W  
            temp1(2)=floor(temp1(1));                                %右边面入射  磁场 mcQ\"9;pY  
            temp1(3)=temp1(1)-temp1(2); o+R(ux"  
            temp1(4)=temp1(2)+1; A?)(^  
            right_x(i,3,k)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4)); Q-U,1b  
            right_x(i,2,k)=right_x(i,3,k)*(-sin(psi)*cos(alpha)-cos(theta)*cos(psi)*sin(alpha));   %hx   jb+1 }2Im?Q  
            right_z(i,2,k)=right_x(i,3,k)*sin(theta)*sin(alpha);                                   %hz   jb+1 pBQ[lPCY/  
        end G~Y#l@8M+  
     end +,D82V7S  
     =aehhs>  
    for i=1:ie Ag1nxV1M$  
        for j=1:je $.B}zY{  
            temp1(1)=i*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+(kets-1)*cos(theta); kll,^A  
            temp1(2)=floor(temp1(1));                                %下边面入射  磁场 : R8+jO  
            temp1(3)=temp1(1)-temp1(2); 6skd>v UU  
            temp1(4)=temp1(2)+1; bs?4|#[K  
            bottom_x(i,j,3)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4)); 7FP"]\x  
            bottom_x(i,j,2)=bottom_x(i,j,3)*(-sin(psi)*cos(alpha)-cos(theta)*cos(psi)*sin(alpha));  %hx  k0-1 otP2qAI  
            bottom_y(i,j,2)=bottom_x(i,j,3)*(cos(psi)*cos(alpha)-cos(theta)*sin(psi)*sin(alpha));   %hy  k0-1 )*o) iN 7l  
             _tO2PIL@Z  
            temp1(1)=i*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+(kete+1)*cos(theta); x}reeqn  
            temp1(2)=floor(temp1(1));                                %上边面入射  磁场 [F
W
B  
            temp1(3)=temp1(1)-temp1(2); sn@)L~$V  
            temp1(4)=temp1(2)+1; =)]RD%Oq  
            top_x(i,j,3)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4)); xrJ0  
            top_x(i,j,2)=top_x(i,j,3)*(-sin(psi)*cos(alpha)-cos(theta)*cos(psi)*sin(alpha));      %hx  kc+1 Z@Qf0 c  
            top_y(i,j,2)=top_x(i,j,3)*(cos(psi)*cos(alpha)-cos(theta)*sin(psi)*sin(alpha));       %hy  kc+1 rj5)b:c}  
        end #KtV4)(  
    end PKs$Q=Ol<|  
     dsbz\w3:  
    for j=1:je 0upZ4eN  
        for k=1:ke ;:
Kc{B.s  
            temp1(1)=(iets-1)*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+k*cos(theta); >v%UV:7ap  
            temp1(2)=floor(temp1(1));                                %后边面入射  磁场 uuCVI2|  
            temp1(3)=temp1(1)-temp1(2); )9!ZkZbv_m  
            temp1(4)=temp1(2)+1; v\kd78,  
            back_y(3,j,k)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4)); z_z'3d.r7  
            back_y(2,j,k)=back_y(3,j,k)*(cos(psi)*cos(alpha)-cos(theta)*sin(psi)*sin(alpha));  %hy  i0-1 i\MW'b  
            back_z(2,j,k)=back_y(3,j,k)*sin(theta)*sin(alpha);                                 %hz  i0-1 b1ZHfe:  
             2Ju,P_<dt  
            temp1(1)=(iete+1)*sin(theta)*cos(psi)+j*sin(theta)*sin(psi)+k*cos(theta); D[Ld=e8t  
            temp1(2)=floor(temp1(1));                                %前边面入射  磁场 _&xkj8O  
            temp1(3)=temp1(1)-temp1(2); fK=vLcH  
            temp1(4)=temp1(2)+1; {Z[kvXf"mZ  
            front_y(3,j,k)=(1-temp1(3))*hin(temp1(2))+temp1(3)*hin(temp1(4)); 8}^ym^H|j  
            front_y(2,j,k)=front_y(3,j,k)*(cos(psi)*cos(alpha)-cos(theta)*sin(psi)*sin(alpha));   %hy  ia+1 $g#d1u0q  
            front_z(2,j,k)=front_y(3,j,k)*sin(theta)*sin(alpha);                                  %hz  ia+1 &0-Pl.M  
        end rO1.8KKJ  
    end ayA_[{j%X  
    %*************************************************** r1$x}I#Zv  
    % 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) :/NP8$~@j  
    %*************************************************** #-d-zV*  
    ex(1:ib,2:je-1,2:ke-1)=ca*ex(1:ib,2:je-1,2:ke-1)+cb*(hz(1:ib,2:je-1,2:ke-1)-hz(1:ib,1:je-2,2:ke-1)-... vF@.B
M>  
        hy(1:ib,2:je-1,2:ke-1)+hy(1:ib,2:je-1,1:ke-2))/dx;       a6
op  
    ey(2:ie-1,1:jb,2:ke-1)=ca*ey(2:ie-1,1:jb,2:ke-1)+cb*(hx(2:ie-1,1:jb,2:ke-1)-hx(2:ie-1,1:jb,1:ke-2)-... r8L'C  
        hz(2:ie-1,1:jb,2:ke-1)+hz(1:ie-2,1:jb,2:ke-1))/dx; ZJ_P=  
    ez(2:ie-1,2:je-1,1:kb)=ca*ez(2:ie-1,2:je-1,1:kb)+cb*(hy(2:ie-1,2:je-1,1:kb)-hx(1:ie-2,2:je-1,1:kb)-... `"bp-/  
        hx(2:ie-1,2:je-1,1:kb)+hx(2:ie-1,1:je-2,1:kb))/dx;   a+\s0Qo<  
    %*************************************************** a\I`:RO=<Z  
    % 电场连接边界条件   边界面 R"PO@v  
    %*************************************************** @jD19=  
    for j=jets-1:jete-1 ;Y(~'KF  
        for k=kets-1:kete-1 lx~mn~;x  
            ey(iets,j,k)=ey(iets,j,k)+back_z(2,j,k)*dt/epsz/dx; +T7FG_  
            ez(iets,j,k)=ez(iets,j,k)-back_y(2,j,k)*dt/epsz/dx; 6r,zOs-I]  
            ey(iete,j,k)=ey(iete,j,k)-front_z(2,j,k)*dt/epsz/dx; ,
k/<Nv;  
            ez(iete,j,k)=ez(iete,j,k)+front_y(2,j,k)*dt/epsz/dx; 6K9-n
}z  
        end @;d7#!:cE  
    end .MRLAG  
    for i=iets-1:iete-1 @{8805Dp  
        for k=kets-1:kete-1 h3A|nd>\  
            ez(i,jets,k)=ez(i,jets,k)+left_x(i,2,k)*dt/epsz/dx; }HZ'i;~r|9  
            ex(i,jets,k)=ex(i,jets,k)-left_z(i,2,k)*dt/epsz/dx; ;nf}O87~  
            ez(i,jete,k)=ez(i,jete,k)-right_x(i,2,k)*dt/epsz/dx; [dXRord  
            ex(i,jete,k)=ex(i,jete,k)+right_z(i,2,k)*dt/epsz/dx; u\UI6/  
        end '}NH$ KA  
    end 6IM:Xj  
    for j=jets-1:jete-1 WJ]g7!Ks  
        for k=kets-1:kete-1 9, 792b  
            ex(i,j,kets)=ex(i,j,kets)+bottom_y(i,j,2)*dt/epsz/dx; (8j@+J  
            ey(i,j,kets)=ey(i,j,kets)-bottom_x(i,j,2)*dt/epsz/dx; Wy$Q!R=i  
            ex(i,j,kete)=ex(i,j,kete)-top_y(i,j,2)*dt/epsz/dx; niM(0p  
            ey(i,j,kete)=ey(i,j,kete)+top_x(i,j,2)*dt/epsz/dx; R~BW=Dz,e  
        end <NMOs"NB  
    end hzX&BI  
    %*************************************************** nL!nzA  
    % 电场连接边界条件  棱边 Xc]Q_70O  
    %***************************************************     `3F/7$q_  
    ex(iets:iete,jets,kets)=ex(iets:iete,jets,kets)-left_z(iets:iete,2,kets)*dt/epsz/dx+... gr$H?|n l  
        bottom_y(iets:iete,jets,2)*dt/epsz/dx; 
1)
G6  
    ex(iets:iete,jete,kets)=ex(iets:iete,jete,kets)+right_z(iets:iete,2,kets)*dt/epsz/dx+... _]=, U.a=/  
        bottom_y(iets:iete,jete,2)*dt/epsz/dx; =TXc- J  
    ex(iets:iete,jete,kete)=ex(iets:iete,jete,kete)+right_z(iets:iete,2,kete)*dt/epsz/dx-... lnntb3q  
        top_y(iets:iete,jete,2)*dt/epsz/dx; gH/k}M7tA#  
    ex(iets:iete,jets,kete)=ex(iets:iete,jets,kete)-left_z(iets:iete,2,kete)*dt/epsz/dx-... DzCb'#   
        top_y(iets:iete,jets,2)*dt/epsz/dx; Ga^k1TQq  
      eYRm:KC  
    ey(iets,jets:jete,kets)=ey(iets,jets:jete,kets)-bottom_x(iets,jets:jete,2)*dt/epsz/dx+... 7kidPAhY  
        back_z(2,jets:jete,kets)*dt/epsz/dx; R )e^H  
    ey(iets,jets:jete,kete)=ey(iets,jets:jete,kete)+top_x(iets,jets:jete,2)*dt/epsz/dx+... i{/nHrN  
        back_z(2,jets:jete,kete)*dt/epsz/dx; H\e<fi%Q  
    ey(iete,jets:jete,kete)=ey(iete,jets:jete,kete)+top_x(iete,jets:jete,2)*dt/epsz/dx-... /ec~^S8X  
        front_z(2,jets:jete,kete)*dt/epsz/dx; ia/_61%  
    ey(iete,jets:jete,kets)=ey(iete,jets:jete,kets)-bottom_x(iete,jets:jete,2)*dt/epsz/dx-... Q|cA8Fn  
        front_z(2,jets:jete,kets)*dt/epsz/dx; p&;,$KDA  
     BRMR> ~k(  
    ez(iets,jets,kets:kete)=ez(iets,jets,kets:kete)-back_y(2,jets,kets:kete)*dt/epsz/dx+... *r]#jY4qx  
        left_x(iets,2,kets:kete)*dt/epsz/dx; u\G\KASUK%  
    ez(iete,jets,kets:kete)=ez(iete,jets,kets:kete)+front_y(2,jets,kets:kete)*dt/epsz/dx+... -3:x(^|:K  
        left_x(iete,2,kets:kete)*dt/epsz/dx; %AuS8'Uf  
    ez(iete,jete,kets:kete)=ez(iete,jete,kets:kete)+front_y(2,jete,kets:kete)*dt/epsz/dx-... 93#wU})  
        right_x(iete,2,kets:kete)*dt/epsz/dx; OKzk\F6  
    ez(iets,jete,kets:kete)=ez(iets,jete,kets:kete)-back_y(2,jete,kets:kete)*dt/epsz/dx-... +UP?M4g  
        right_x(iets,2,kets:kete)*dt/epsz/dx; GEi^3UD  
    %**************************************************** x68s$H  
    % 电场吸收边界    边界面 V?cUQghHg  
    %**************************************************** }L*cP;m#  
      6@ )bZ|  
     Cqk6Igw  
     \(ZOt.3!J  
    %**************************************************** SYTzJK@vZJ  
    % 电场吸收边界    棱边 DnPV Tp(>  
    %**************************************************** .](s\6'  
     P(Hh%
9'(  
     K?+Rq  
     @;z}Hk0A  
    %*************************************************** h9J  
    % 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) 1YMu\(  
    %*************************************************** \Tj(]  
    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)-...  Z@`HFZJ  
        ey(2:ie-1,1:jb,2:kb+1)+ey(2:ie-1,1:jb,1:kb))/dx; Yt;.Z$i ,  
    hy(1:jb,2:je-1,1:kb)=cp*hy(1:jb,2:je-1,1:kb)-cq*(ex(1:jb,2:je-1,2:kb+1)-ex(1:jb,2:je-1,1:kb)-... O
k~\  
        ez(2:jb+1,2:je-1,1:kb)+ez(1:jb,2:je-1,1:kb))/dx; J&6]3x  
    hz(1:ib,1:jb,2:ke-1)=cp*hz(1:ib,1:jb,2:ke-1)-cq*(ey(2:ib+1,1:jb,2:ke-1)-ey(1:ib,1:jb,2:ke-1)-... Z?-l-sK  
        ex(1:ib,2:jb+1,2:ke-1)+ex(1:ib,1:jb,2:ke-1))/dx;   V]9?9-r  
    %*************************************************** }' t*BaU  
    % 磁场连接边界条件   边界面 Bhrp"l +|  
    %*************************************************** ?2b9N~  
    for j=jets:jete [HENk34  
        for k=kets:kete I*K~GXWs#  
            hy(iets,j,k)=hy(iets,j,k)-back_z(1,j,k)*dt/murz/dx; ffYiu4$m  
            hz(iets,j,k)=hz(iets,j,k)+back_y(1,j,k)*dt/murz/dx; u5FlT3hY.  
            hy(iete,j,k)=hy(iete,j,k)+front_z(1,j,k)*dt/murz/dx; e: :H1V  
            hz(iete,j,k)=hz(iete,j,k)-front_y(1,j,k)*dt/murz/dx; )Hy|K1  
        end VN8ao0^d;d  
    end =>6'{32W_  
    for i=iets:iete RA+k/2]y!  
        for k=kets:kete "2bCq]I0  
            hz(i,jets,k)=hz(i,jets,k)-left_x(i,1,k)*dt/murz/dx; C zvi'
:  
            hx(i,jets,k)=hx(i,jets,k)+left_z(i,1,k)*dt/murz/dx; 1cdM^k  
            hz(i,jete,k)=hz(i,jete,k)+right_x(i,1,k)*dt/murz/dx; _sCpy
u  
            hx(i,jete,k)=hx(i,jete,k)-right_z(i,1,k)*dt/murz/dx; Wc$1Re{z  
        end W;C41>^?/  
    end r yO\$m  
    for i=iets:iete Oj0/[(D-  
        for j=jets:jete R#Bdfmldq  
            hx(i,j,kets)=hx(i,j,kets)-bottom_y(i,j,1)*dt/murz/dx; W7"ks(  
            hy(i,j,kets)=hy(i,j,kets)+bottom_x(i,j,1)*dt/murz/dx; [e'Ts#($A  
            hx(i,j,kete)=hx(i,j,kete)+top_y(i,j,1)*dt/murz/dx; Io&F0~Z;;(  
            hy(i,j,kete)=hy(i,j,kete)-top_x(i,j,1)*dt/murz/dx; u|D_"q~+6  
        end jM3{A;U2  
    end ~(`iRxK  
    %**************************************************** fhmqO0  
    % 磁场吸收边界    边界面 /P0%4aWu=  
    %**************************************************** DP9hvu/85  
     Tce2]"^;  
     OsR4oT  
     y(8AxsROp  
     SpY%2Y.Dy  
     Pw'3ya8  
    %**************************************************** O(PG"c  
    % Visualize fields o3l_&?^  
    %**************************************************** y85/qg)H^  
    if mod(n,10)==0; PGHl:4`Es!  
        timestep=int2str(n); 7=8e|$K_  
        tview(:,:)=ez(:,:,ke/2); &a p{|>3  
        sview(:,:)=ez(:,je/2,:); $9\!CPZ2  
x*[\$E`v  
        subplot(2,1,1),pcolor(tview'); puz~Rfn#*  
        shading flat; ~$i36"  
        caxis([-1.0 1.0]); 70:a2m  
        colorbar; BUcze\+  
        axis image; FXOA1VEg  
        title(['Ez(i,j,k=50),timestep=',timestep]); sD*8:Hl  
        xlabel('i coordinate'); amIG9:-1'  
        ylabel('j coordinate'); eVDI7W:(Sn  
@DrMaTr  
        subplot(2,1,2),pcolor(sview'); Khxl'qj  
        shading flat; Hay`lA2@  
        caxis([-1.0 1.0]); T?c:z?j_9  
        colorbar; yA!#>u%g  
        axis image; Pz1pEyuL  
        title(['Ez(i,j=50,k),timestep=',timestep]); DEL#MD!  
        xlabel('i coordinate'); Uok?FEN  
        ylabel('k coordinate'); >T4.mB7+>  
         ^60BQ{ne  
        nn=n/10; u%S&EuX  
        M(:,nn)=getframe(gcf,rect); n||/3-HDj  
    end M:qeqn+  
end 8hi|F\$_h  
movie(gcf,M,0,10,rect);