[求助]一维程序求解读

%%Try changing the value of "profile". &F~97F)A)  
close all; Ci$?Hm9n  
clear all; xz3|m _)  
L = 5; %长度 71G\b|5  
N = 505; %# 空间划分 ^*'fDP*  
Niter = 400; %迭代次数 0JU+v:J[=  
fs = 300e6; %频率 $ #bWh  
ds = L/N; %步长 SYA0Hiw7P  
dt = ds/300e6; %”单位时间“ FJ] ?45  
eps0 = 8.854e-12; %真空中的介电常数 zbAyYMtEk  
mu0 = pi*4e-7; %真空中的磁导率 Mz: "p.  
x = linspace(0,L,N); %x 轴划分 _g%,/y 9y  
showWKB=0; D_M73s!U  
ae = ones(N,1)*dt/(ds*eps0); E_-
g<Cw  
am = ones(N,1)*dt/(ds*mu0); eOZ"kw"uHu  
as = ones(N,1);  ?)2;W  
epsr = ones(N,1); k{J\)z  
mur= ones(N,1); pcNpr`  
sigma = zeros(N,1); >l^[73,]L  
%Try profile = 1,2,3,4,5,6 in sequence. WSqo\]  
%You can define epsr(i)介电常数ε=εr*ε0, mur(i)磁导率μ  %and sigma(i)导电性 }ws(:I^  
profile =1; @y8) "m"  
for i=1:N/2 ,:xses*7  
   epsr(i) = 1; ODKHI\U  
   mur(i) = 1; l,ic-Y1  
   w1 = 0.5; u9j1>QU  
   w2 = 1.5; h3j`X'  
   if (profile==1) %介电窗口 Ntlbn&lc;D  
      if (abs(x(i)-L/2)<0.5) epsr(i)=4; end i|!W;2KL5  
   end qlC4&82=Q  
   if (profile==2)%平稳过渡 wUKt$_]``  
    if (abs(x(i)-L/2)<1.5) epsr(i)=1+3*(1+cos(pi*(abs(x(i)-L/2)-w1)/(w2-w1)))/2; end K>_~|ZN1C8  
      if (abs(x(i)-L/2)<0.5) epsr(i)=4; end TJUYd9O4[  
   end @me ( pnD  
   if (profile==3) %介质不连续 B8>3GZi  
      if (x(i)>L/2) epsr(i) = 9; end jE!?;} P1  
   end {w mP  
   if (profile==4) 4^7*R  
      if (x(i)>(L/2-0.1443)) epsr(i) = 3; end 9a]JQ  
      if (x(i)>L/2) epsr(i) = 9; end h@@q:I=  
   end juB/?'$~  
  =8AL>:_  
end <])kO`
+G  
ae = ae./epsr; z_%}F':
 
am = am./mur; og`g]Z<I  
ae = ae./(1+dt*(sigma./epsr)/(2*eps0)); LF ;gdF%@  
as = (1-dt*(sigma./epsr)/(2*eps0))./(1+dt*(sigma./epsr)/(2*eps0)); kiu#THF  
Hz = zeros(N,1); ^zKP5nzL  
Ey = zeros(N,1); H8h,JBg5<F  
figure(2); p4@0Dz`Q  
set(gcf,'doublebuffer','on'); ;CDa*(e  
plot(Ey); ~ep^S^V+  
grid on; 8gW$\  
for iter=1:Niter   JfzfxfM  
   Ey(3) = Ey(3)+2*(1-exp(-((iter-1)/50)^2))*sin(2*pi*fs*dt*iter); K~A@>~vFb  
   Hz(1) = Hz(2); &W%fsy<  
   for i=2:N-1 y$+_9VzYB  
      Hz(i) = Hz(i)-am(i)*(Ey(i+1)-Ey(i)); ]uXmug  
   end i2?TMM!Fe  
   Ey(N) = Ey(N-1); $d Nmq  
   for i=2:N-1 }[: i!t.m  
      Ey(i) = as(i)*Ey(i)-ae(i)*(Hz(i)-Hz(i-1)); 3XhLn/@  
   end Z9zsvg  
   figure(2) =xr2-K)e  
   hold off /;WFRp.  
   plot(x,Ey,'b'); $?y\3GX  
   axis([3*ds L -2 2]); u_.Ig|Va  
   grid on; S7B?[SPrN[  
   title('E (blue) and 377*H (red)'); 0}-
MWbG  
   hold on RY
]jY | E  
   plot(x,377*Hz,'r'); dC?l%,W  
   xlabel('x (m)'); ?3do-tTp  
   pause(0); s[%@3bY!7  
   iter rQ)I  
end /gP"X1.  
if (showWKB==1) UVD*GsBk  
 phase = cumsum((epsr).^0.5)*ds; JnS@}m  
 beta0 = 2*pi*fs/(300e6); ]Uul~T
 
   theory = sin(2*pi*fs*(Niter+4)*dt-beta0*phase)./(epsr.^0.25); (S8hr,%n  
   .. mV|Z5=f  
~Hvf"b
vK|  

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