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wangoec

Í­³æ (СÓÐÃûÆø)

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º¬·Ö²¼Ô´µÄË«µ¼Ìå´«ÊäÏßÔÚµç´ÅÂö³å¼¤ÀøÏÂÏìÓ¦µÄ¼ÆËãFDTD³ÌÐò
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clear;clc;
tic
Z1=50;Z2=50;%¶Ë½Ó¸ºÔØ
L=2;h=1e-3;%Ïß³¤¶ÈºÍÁ½Ïß¼ä¾à
T=4*1e-7;%·ÂÕæÊ±¼ä
e0=8.85e-12;u0=12.57e-7;
v=1/sqrt(u0*e0);%ģʽ´«²¥ËÙ¶È
C0=14.845*1e-12;L0=0.7485*1e-6;%·Ö²¼²ÎÊý
dez=0.01;det=1/3*1e-10;%¿Õ¼äºÍʱ¼ä²½³¤
a=90*pi/180;thi=90*pi/180;fi=90*pi/180;  %ÈëÉäÆ½Ãæ²¨½Ç¶È
max_space=fix(L/dez);%¿Õ¼äµãÊý
max_time=fix(T/det);%ʱ¼äµãÊý
V=zeros(max_time+1,max_space+1);%³õʼ»¯µçѹ
I=zeros(max_time+1,max_space+1);%³õʼ»¯µçÁ÷
E0=zeros(max_time+201,1);%¼¤ÀøÔ´³õʼ»¯
for n=1:max_time
    ex=sin(a)*sin(fi);ez=-sin(a)*cos(fi)*sin(thi)+cos(a)*cos(thi);
    vx=-v/cos(fi);vz=-v/(sin(fi)*sin(thi));
    E0(n)=38*(exp(-1.2*n*det*1e7)-exp(-8.8*n*det*1e7));%¼¤ÀøÔ´
        V(n+1,1)=1/((dez/det)*Z1*C0+1)*(((dez/det)*Z1*C0-1)*V(n,1)-2*Z1*I(n,1)-1*h*ex*Z1*C0*dez/det*(E0(n+1)-E0(n)));%ʼ¶Ëµçѹ
    for k=2:max_space
        if fix(n+1-(k-1)*dez/det/vz)<=1;
            V(n+1,k)=V(n,k)-det/dez/C0*(I(n,k)-I(n,k-1));%Öмäµãµçѹ
        else
            V(n+1,k)=V(n,k)-det/dez/C0*(I(n,k)-I(n,k-1))-1*h*ex*(E0(fix(n+1-(k-1)*dez/det/vz))-E0(fix(n-(k-1)*dez/det/vz)));%Öмäµãµçѹ
        end
    end
   
    for s=1:max_space
        if fix(n+1-(s-1)*dez/det/vz)<=1;
            I(n+1,s)=I(n,s)-det/dez/L0*(V(n+1,s+1)-V(n+1,s));%ÖмäµãµçÁ÷
        else
            I(n+1,s)=I(n,s)-det/dez/L0*(V(n+1,s+1)-V(n+1,s))+1*h*(ex/vz-ez/vx)/L0*(E0(fix(n+1-(s-1)*dez/det/vz))-E0(fix(n-(s-1)*dez/det/vz)));%ÖмäµãµçÁ÷
        end
        if fix(n+1-(max_space*dez/det/vz))<=1;
            V(n+1,max_space+1)=1/((dez/det)*Z2*C0+1)*(((dez/det)*Z2*C0-1)*V(n,max_space+1)+2*Z2*I(n,max_space));%Ä©¶Ëµçѹ
        else
            V(n+1,max_space+1)=1/((dez/det)*Z2*C0+1)*(((dez/det)*Z2*C0-1)*V(n,max_space+1)+2*Z2*I(n,max_space)-(1*h*ex*(dez/det)*Z2*C0)*(E0(fix(n+1-(max_space*dez/det/vz)))-E0(fix(n-(max_space*dez/det/vz)))));%Ä©¶Ëµçѹ
        end
    end
end
%%%%%%%%%%%%%%%%plots progression of V and I%%%%%%%%%%%%%%%%%%%%%
toc
p=0:max_time;
plot(p*det*1e6,2*V(p+1,1),'r',p*det*1e6,2*V(p+1,201),'b');

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