[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 h4i$z-!  
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1、光疏射向光密 Z69IHA[  
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clear BT#g?=n#`  
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close all ,#O8:s  
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n1=1,n2=1.45; <\EfG:e  
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theta=0:0.1:90; gQDK?aQX  
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a=theta*pi/180;  nGd  
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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)); e!Okc*,  
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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)); -;-"i J0  
n"Vd"}sU.  
tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); _q4m7C<  
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ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); 4,DsB'  
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figure(1) ,?/<fxIY  
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subplot(1,2,1); d vxEXy  
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plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) j!)p NZW.<  
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legend('r_p','r_s','|r_p|','|r_s|') uJ\Nga<?  
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xlabel('\theta_i') ~Xw?
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ylabel('Amplitude') #wiP{+%b  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) sdD[`#  
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axis([0 90 -1 1]) >#|Yoc  
#{,IY03  
grid on $SR]7GZ  
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subplot(1,2,2); %/zZ~WIf  
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plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) v{Vesf  
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legend('t_p','t_s','|t_p|','|t_s|') E ET 2|*}  
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xlabel('\theta_i') Ghc0{M<  
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ylabel('Amplitude') QGy=JHb  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) n.RhA-O  

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axis([0 90 0 1]) ppKCY4  
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grid on cO&9(.d  
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Rp=abs(rp).^2; AAgA]OD,  
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Rs=abs(rs).^2; KL]!E ~i  
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Rn=(Rp+Rs)/2; _9r
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Tp=1-Rp; KW^aARJ)  
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Ts=1-Rs; kELyD(^P`  
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Tn=(Tp+Ts)/2; taaAwTtk?A  
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figure(2) HC,@tfS  
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subplot(1,2,1); P^W47 SO  
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plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2)
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legend('R_p','R_s','R_n') H
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xlabel('\theta_i') 1s[-2^D+EM  
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ylabel('Amplitude') `wd*&vl  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) caD;V(  
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axis([0 90 0 1]) A"iD4Q  
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grid on 4LJ}>e  
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subplot(1,2,2); g>P9hIl
 
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plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) $VIq)s2az|  
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legend('T_p','T_s','T_n') vK`h;  
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xlabel('\theta_i') z}8L}:  
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ylabel('Amplitude')  WPKTX,k  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) de{YgN  
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axis([0 90 0 1]) % ul{nL:  
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grid on vaJXX  
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2、光密射向光疏 Q4LlToHn  
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clear yXo0z_ G  
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z  
close all C!k9JAa$Z  
)-:eQ{st`  
n1=1.45,n2=1; *@n3>$  
|QNLO#$ -  
theta=0:0.1:90; \"`>-v"h
 
'EET3RK-S  
a=theta*pi/180; KSB_%OI1  
jl-Aos"/  
rp=(n2*cos(a)-n1*sqrt(1-(n1/n2*sin(a)).^2))./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); J$9xC{L4  
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rs=(n1*cos(a)-n2*sqrt(1-(n1/n2*sin(a)).^2))./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); 8w8I:*  
+[8Kl
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tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); cm 9oG  
3s_
k>cO=  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); kbp( a+5  
avt>saR  
figure(1) &*]{"^  
_[vdY|_  
subplot(1,2,1); "i{_<;p O  
:&0yf;>v  
plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) `KJYm|@i  
-wRyMY_D  
legend('r_p','r_s','|r_p|','|r_s|') L+~YCat|$U  
7?!Z+r  
xlabel('\theta_i') keQXJ0  
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ylabel('Amplitude') 1u"*09yZd  
P 5qa:<  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) x\J;ZiWwW  
M o"JV  
axis([0 90 -1.5 1.5]) x !:9c<  
3q|cZQK!1  
grid on :m++ iR  
<{NYD.  
subplot(1,2,2); @"{'j  
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plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) BU]WN7]D$  
yXTK(<'  
legend('t_p','t_s','|t_p|','|t_s|') S\3AW,c]w  
4Ay`rG  
xlabel('\theta_i') 6_%]\37_Z  
N$,/Q9h^  
ylabel('Amplitude') lsB9;I^+x  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) @k+%y'Y?  
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axis([0 90 -0.5 3]) <K,% y(]  
5qd_>UHp  
grid on {7=WU4$  
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Rp=abs(rp).^2; AvrL9D  
wTlK4R#  
Rs=abs(rs).^2; vcw>v={x  
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Rn=(Rp+Rs)/2; aVppOxA  
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Tp=1-Rp; Z&dr0w8  
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Ts=1-Rs;
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Tn=(Tp+Ts)/2; :
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figure(2) z/Ns5  
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subplot(1,2,1); gV"qV  
':4}O#  
plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) r=~WMDCz@  
la\zaKC;>  
legend('R_p','R_s','R_n') [lNqT1%]  
K\IYx|Hm a  
xlabel('\theta_i') &Y54QE".  
]6t]m2~\  
ylabel('Amplitude') *GbVMW[A>  
L$+d.=]  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) (C`FicY  
{W5ydHXy  
axis([0 90 0 1]) AT B\^;n.  
H96BqNoO  
grid on K*R)V/B/l  
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subplot(1,2,2); vKNt$]p
m=  
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plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) I1Hw"G"&  
omM&{ }8g  
legend('T_p','T_s','T_n') W@I 02n2H  
yZYKwKG  
xlabel('\theta_i') P?9nTG  
$; Q$W9+  
ylabel('Amplitude') ]2Sfkl0  
|@ikx{W  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) tg.|$n  
[YC=d1F5  
axis([0 90 0 1]) zRwb"  
Yim{U:F  
grid on ]43alf F#  
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-Y*VgoK%  

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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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