[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 hX<0{pXM4  
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1、光疏射向光密 ](B+ilr   
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clear 1_f(;WOg  
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close all 3g)pLW  
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n1=1,n2=1.45; s)\%%CM  
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theta=0:0.1:90; yX/ 9jk  
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a=theta*pi/180; w8c71C  
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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'p'{]r<w  
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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)); 7<=xc'*8t  
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tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); /n&w|b%  
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ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); 7"FsW3an  
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figure(1) EH=[!iW;  
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subplot(1,2,1); $@s&qi_&R  
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plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) !Qy%sY  
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legend('r_p','r_s','|r_p|','|r_s|') z;J"3kM  
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xlabel('\theta_i') 6* (6>F5  
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ylabel('Amplitude') ")}^\Om  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) (p>?0h9
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axis([0 90 -1 1]) B<%cqz@  
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grid on +`}QIp0  
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subplot(1,2,2); xf% _HMKc  

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plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) zk#"n&u0  
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legend('t_p','t_s','|t_p|','|t_s|') r$T\
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xlabel('\theta_i') n@[_lNa4GD  
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ylabel('Amplitude') y(^t&tgjS  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) iI.pxo s  
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axis([0 90 0 1]) 1cq"H/N  
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grid on =p{55dR  
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Rp=abs(rp).^2; Pw+PBIGn4  
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Rs=abs(rs).^2; wIQ~a  
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Rn=(Rp+Rs)/2; G5A:C(r  
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Tp=1-Rp; e<A6=}  
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Ts=1-Rs; *uW l 804  
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Tn=(Tp+Ts)/2;  ddK\q!0  
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figure(2) 7XzhKA6  
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subplot(1,2,1); G`D rY;  
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plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) nwS @r  
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legend('R_p','R_s','R_n') Z=Z
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xlabel('\theta_i') }uR[H2D`L  
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ylabel('Amplitude') [J!jp&o  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) (1IYOlG4  
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axis([0 90 0 1]) *jR4OY|DXH  
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grid on IN8G4\r  
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subplot(1,2,2); kz_gR;"(Z  
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plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) ^yLhL^Y  
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legend('T_p','T_s','T_n') v*";A  
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xlabel('\theta_i') _^/k  
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ylabel('Amplitude') 4%B0H>  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) s5/u>d  
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axis([0 90 0 1]) k=W~ot&  
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grid on 8TBv~Qu  
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2、光密射向光疏 ;`O9YbP#  
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clear BG6.,'~7o  
|<Y~\|  
close all ;hPVe_/  
(mr*Thy`@  
n1=1.45,n2=1; s3Wjhw/  
v#lrF\G5  
theta=0:0.1:90; d"yJ0F  
u6 QW*8b4  
a=theta*pi/180; =xQPg0g  
!1ZItJ74#  
rp=(n2*cos(a)-n1*sqrt(1-(n1/n2*sin(a)).^2))./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); H:EK&$sU  
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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)); k8\KCKql  
L@'2}7N1%  
tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); q*Oj5;  
W__Y^\~  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); >/Gw)K}#E  

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figure(1) `YUeVz>q?  
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subplot(1,2,1); 9OFH6-;6`\  
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plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) L8q#_k  
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legend('r_p','r_s','|r_p|','|r_s|') GSs?!BIC  
ub!lHl  
xlabel('\theta_i') );T&pm:C>  
(t){o>l  
ylabel('Amplitude') ;HBKOe_3  
zB`J+r;LU  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) :f:&B8  
HE{UgU:tY  
axis([0 90 -1.5 1.5]) rizjH+  
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grid on eIy:5/s  
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subplot(1,2,2); EXF]y}n  
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plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) TQ:h[6v  
[m4M#Lg\0  
legend('t_p','t_s','|t_p|','|t_s|') =E$bZe8  
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xlabel('\theta_i') "N">RjJ"  
sPb}A$'  
ylabel('Amplitude') /NjBC[P  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) *P5\T4!+d  
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axis([0 90 -0.5 3]) 8KN3|)  
s?s,wdp  
grid on .%dGSDru  
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Rp=abs(rp).^2; l]~9BPsR  
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Rs=abs(rs).^2; }A]eC  
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Rn=(Rp+Rs)/2; N34-z|"q  
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Tp=1-Rp; ~N
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Ts=1-Rs; b%*`}B  
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Tn=(Tp+Ts)/2; WtKKdL  
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figure(2) ',!jYh}Uxk  
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subplot(1,2,1); ?{}P#sn  
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plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) >itNa.K  
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legend('R_p','R_s','R_n') -"S94<Y  
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xlabel('\theta_i') y$bY 8L  
Q"U%]2@=  
ylabel('Amplitude') fVgN8b|&'  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) F-b]>3r  
nSh~mP  
axis([0 90 0 1]) 9_d#F'#F  
f8SO:ihXL  
grid on ]" e'z  
cr<j<#(Z}  
subplot(1,2,2); ^&C/,,U  
^n<YO=|u  
plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) ZA. SX|m  
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legend('T_p','T_s','T_n') ,`Z4fz:  
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xlabel('\theta_i') J=78p#XUg  
JNXzZ4U  
ylabel('Amplitude') t:V._@  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) 9B;WjXSe  
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axis([0 90 0 1]) /n(0w`
 
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grid on DBsoa0w  
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