[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 lC|`DG-B  
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1、光疏射向光密 w#0/&\b=  
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clear L6<.>\^Z"  
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close all ,6@s N'c  
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n1=1,n2=1.45; ?DJ/Yw>>3  
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theta=0:0.1:90; N(c`h  
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a=theta*pi/180; EC;R^)  
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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)); {+Zj}3o  
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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)); &"lSq2  
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tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); IX+!+XC"U  
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ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); }ZqnsLu[)  
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figure(1) +6~ut^YiM.  
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subplot(1,2,1); @3*S:;x  
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plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) " l;=jk]  
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legend('r_p','r_s','|r_p|','|r_s|') 80_}}op?8  
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xlabel('\theta_i') xTnFJ$RK2  
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ylabel('Amplitude') `_"loPu  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) V*6
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axis([0 90 -1 1]) GAP,$xAaW  
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grid on @6"+x  
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subplot(1,2,2); QtHK`f>4#n  
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plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) A<}nXHs-  
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legend('t_p','t_s','|t_p|','|t_s|') gT_tR_g  
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xlabel('\theta_i') N(J'h$E  
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ylabel('Amplitude') ]xxE_B7  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) Og-v][  
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axis([0 90 0 1]) #;0F-pt  
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grid on f = 'AI  
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Rp=abs(rp).^2; a9_KoOa.H  
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Rs=abs(rs).^2; K-b`KcX  
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Rn=(Rp+Rs)/2; <:>[24LJ{  
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Tp=1-Rp; Q_6v3no1  
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Ts=1-Rs; 7q&T2?GEN  
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Tn=(Tp+Ts)/2; 5cj&D74o  
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figure(2) *X!+wK-+  
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subplot(1,2,1); &})Zqc3Lqk  
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plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) [(; .D  
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legend('R_p','R_s','R_n') |RH^|2:x9Q  
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xlabel('\theta_i') s54AM]a{j  
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ylabel('Amplitude') 8dh ?JqX  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) Et'&}NjI  
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axis([0 90 0 1]) V#+M lN  
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grid on bo#?,80L}`  
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subplot(1,2,2); E~S~Ld%  
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plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) ll ^I;o0  
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legend('T_p','T_s','T_n') w&Z.rB?  
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xlabel('\theta_i') IK,aA;d  
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ylabel('Amplitude') |ADg#oX  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) geNvp0  
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axis([0 90 0 1]) _z@_.%P\  
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grid on :m0pm@  
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2、光密射向光疏 9-.`~v  
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clear Zzv,p  
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close all "9,+m$nj  
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n1=1.45,n2=1; #Qd"d3QG  
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theta=0:0.1:90; m</nOf+C  
)C>M74Bt  
a=theta*pi/180; Ns-3\~QSi  
#rx@ 2zi  
rp=(n2*cos(a)-n1*sqrt(1-(n1/n2*sin(a)).^2))./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); ?r R, h{~  
+|Mi lwr  
rs=(n1*cos(a)-n2*sqrt(1-(n1/n2*sin(a)).^2))./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); ETaLE[T%1  
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tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); %loe8yt
 
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ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); (ChL$!x  
=mh)b]].4\  
figure(1) !{4bC  
M9wj };vy  
subplot(1,2,1); bdr!|WZ  
8yCQWDE}  
plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) WQ1*)h8,9  
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legend('r_p','r_s','|r_p|','|r_s|') ipJnNy;  
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xlabel('\theta_i') zbP#y~[  
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ylabel('Amplitude') /-1 F9  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) :_+Fe,h>|  
f"A?\w@  
axis([0 90 -1.5 1.5]) 4vf,RjB-5  
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grid on u9)<i]2  
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subplot(1,2,2); 44_CT?t<  
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plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) S-)%#  
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legend('t_p','t_s','|t_p|','|t_s|') ;PhX[y^*  
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xlabel('\theta_i') JheF}/Bx  
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ylabel('Amplitude') ue#Yh  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) U/bQ(,3
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axis([0 90 -0.5 3]) `)s>},8W!  
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grid on pZe:U;bb  
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Rp=abs(rp).^2; \%N | X  
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Rs=abs(rs).^2; 5\$8"/H  
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Rn=(Rp+Rs)/2; hh>mX6A  
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Tp=1-Rp; -g]g  
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Ts=1-Rs; CJu3h&Rp  
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Tn=(Tp+Ts)/2; naoH685R4  
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figure(2) FUj4y 9X  
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subplot(1,2,1); l4s_9  
h_Cac@F0  
plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) ^UAL5}CQt  
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legend('R_p','R_s','R_n') aPMqJ#fIr  
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xlabel('\theta_i') $!_]mz6*  
30v 3C7o=  
ylabel('Amplitude') -5 YvtL  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) `Vqpo/  
Y|iJO>_Uu=  
axis([0 90 0 1]) GKNH{|B$D  
|Skk1#  
grid on Zom7yI  
Cq,ox'kGl  
subplot(1,2,2); ;h"?h*}m!\  
6n.W5 1g(s  
plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) N3Jfp3_b@  
L27i_4E,  
legend('T_p','T_s','T_n') FaNH+LPe  
Y(4#b`k3  
xlabel('\theta_i') :+SpZ>  
>}*iQq  
ylabel('Amplitude') {{?[b^  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) FN&.PdRT  
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axis([0 90 0 1]) G2%%$7Jj  
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grid on n(gw%w+\7  
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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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