[分享]利用MATLAB光学仿真（1） [复制链接]

利用菲涅尔公式计算光波在两种介质表面折反射率及折反射能流密度 6i.gy
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1、光疏射向光密 }bH
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clear j9d!yW  
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close all #2RiLht  
sIy  
n1=1,n2=1.45; (a@?s$LG  
aTd D`h  
theta=0:0.1:90; #sTEQjJ,J  
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a=theta*pi/180; -'`TL$  
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rp=(n2*cos(a)-n1*sqrt(1-(n1/n2*sin(a)).^2))./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); .f:n\eT):  
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rs=(n1*cos(a)-n2*sqrt(1-(n1/n2*sin(a)).^2))./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); '$G"[ljr  
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tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); ~gE:-  
hoM|P8 }rh  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); ?WUF!Jk  
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figure(1) |F[=b'?  
lx |5?P  
subplot(1,2,1); )?=YT  
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plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) =PkO!Mm8  
slu(SmQ  
legend('r_p','r_s','|r_p|','|r_s|') Os&n  
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xlabel('\theta_i') 0v)bA}k  
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ylabel('Amplitude') WOLuw%
  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) b|xpNd-  
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axis([0 90 -1 1]) #3$\Iu  
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grid on 'sh~,+g  
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subplot(1,2,2); \f:z+F!6R  
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plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) ^EELaG  
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legend('t_p','t_s','|t_p|','|t_s|') =<}<Ny  
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xlabel('\theta_i') A#8q2n270*  
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ylabel('Amplitude') z~*g~RKS!  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) L<
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axis([0 90 0 1]) *N'K/36;  
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grid on T9W`?A  
lot%N(mB`  
Rp=abs(rp).^2; a"N4~?US  
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Rs=abs(rs).^2;  hc#!Lv  
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Rn=(Rp+Rs)/2; gTl<wo +  
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Tp=1-Rp; N;Dp~(1 J1  
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Ts=1-Rs; MP Z3D9  
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Tn=(Tp+Ts)/2; )J]9 lW&y  
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figure(2) Y3.$G1{#0w  
ca i<,3H  
subplot(1,2,1); <+MyZM(z>  
dzLQI}89+k  
plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) 6E(Qx~iL  
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legend('R_p','R_s','R_n') CTX9zrY*T  
qm/Q65>E  
xlabel('\theta_i') ZkL8
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ylabel('Amplitude') FZjHw_pP  
W} WI; cI  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) {3;AwhN0H  
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axis([0 90 0 1]) T134ZXqqz  
8fA_p}wp  
grid on Z^ }mp@j>  
KT]Pw\y5  
subplot(1,2,2); D\IjyZ-O  
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plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) kEwaT$  

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legend('T_p','T_s','T_n') J+rC
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xlabel('\theta_i') .MO\uh0N  
?X@fKAj  
ylabel('Amplitude') n>@oBG)!  

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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) 2,ECYie^  
y#}cC+;   
axis([0 90 0 1]) $kR N h6  
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grid on *s@Qtgu  
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2、光密射向光疏 'X shmZ0&  
c-.t>r&  
clear Y@PI {;!  
2NB L}x  
close all q^6+!&"  
L(X6-M:  
n1=1.45,n2=1; lJ@][;  
O%r;5kP  
theta=0:0.1:90; b!M"VDjQ  
7FRmx4(!  
a=theta*pi/180; ~c6}
 
`a9L%z  
rp=(n2*cos(a)-n1*sqrt(1-(n1/n2*sin(a)).^2))./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); qKJSj   
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rs=(n1*cos(a)-n2*sqrt(1-(n1/n2*sin(a)).^2))./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); >}(CEzc8  
|HZTN"  
tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); Rb\6;i8R  
{d?$m*YR3`  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); Qt|c1@J  
A&>.74}p  
figure(1) "s\L~R.&  
OgX6'E\E  
subplot(1,2,1); >0l"P"]  
7'OtruJ  
plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) !0N7^Z"gtz  
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legend('r_p','r_s','|r_p|','|r_s|') _'#x^D  
a ^%"7Ri  
xlabel('\theta_i') ^B+!N;  
3"rzb]=R  
ylabel('Amplitude') -j&Tc`j_  
5Ba[k[b^  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) .;&# )l
 
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axis([0 90 -1.5 1.5]) 7#wn<HDY%  
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grid on Wa?; ^T  
0q&'(-{s1  
subplot(1,2,2); JsotO
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itzyCw2|#  
plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) @u1zB:  
DLCkM*'  
legend('t_p','t_s','|t_p|','|t_s|') j^`hzh3S  
)Z %T27r,^  
xlabel('\theta_i') UQ4% Xp  
Pzb|t+"$  
ylabel('Amplitude') Rar"B
*b;$  
+kFxi2L6  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) mA{~PpSb  

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axis([0 90 -0.5 3]) mXXt'_"  
8|$3OVS  
grid on Oez>X=Xf  
+d|mR9^([  
Rp=abs(rp).^2; qgDRu]ba  
[}fv  dW  
Rs=abs(rs).^2; 'FYJMIs  
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Rn=(Rp+Rs)/2;
5[Pr|AY  
O-4C+?V  
Tp=1-Rp; `~cuQ<3Tn  
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Ts=1-Rs; HE
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Tn=(Tp+Ts)/2; Vi$-Bw$@  
v 36%Pj`  
figure(2) mRZ:ie  
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subplot(1,2,1); BT@r!>Nl  
R-P-i0~  
plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) )>c>oMgl  
6[]]Y,Y  
legend('R_p','R_s','R_n')
^OErq&`u  
~i.k$XGA  
xlabel('\theta_i') $t/x;<.H  
?@n/v F  
ylabel('Amplitude') Q#EP|  
r `eU~7  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) $O^v]>h  
5 B=^v#m  
axis([0 90 0 1]) P/`I.p;  
*x)8fAr  
grid on u~)`&1{%  
sp*Vqd  
subplot(1,2,2); @ps1Dr4s  
f$'2}'.!$  
plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) WlYs~(=9  
6b!F1
  
legend('T_p','T_s','T_n') XerbUkZ  
lb:/EUd5  
xlabel('\theta_i') (@#M!'  
;Q+xKh%  
ylabel('Amplitude') ?,yj")+  
lHV[Ln`\x  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) )3(;tT,$}^  
[2|kl l  
axis([0 90 0 1]) ^3hn0DVQ  
HD N9.5S  
grid on _uJ"m8Tl  
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这个在《MATLAB在光学中的应用》这本书里都有

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