[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 $=GnoS  
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1、光疏射向光密 $:D-dUr1  

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clear $>=?'wr  
BA(PWX`H  
close all O{w'i|  
Tj v)jD  
n1=1,n2=1.45; k2Y *  
w:+wx/\  
theta=0:0.1:90; # )]L3H<  
7;x}W-`iF  
a=theta*pi/180; M
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8^>qzaf 8  
rp=(n2*cos(a)-n1*sqrt(1-(n1/n2*sin(a)).^2))./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2));  mX&!/U  
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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)); oW\kJ>!  
Ia!B8$$'RP  
tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); ^DH*\ee  
vnOl-`Z ~  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); O/1:2G/`  
d:SLyFD$q  
figure(1) 5nSi2
9C  
q9iHJ'lMD*  
subplot(1,2,1); (HD8Mm  
Tw+V$:$$  
plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) $$f89, h  
2SV}mK U  
legend('r_p','r_s','|r_p|','|r_s|') b^q8s4(  
%Z]c[V.  
xlabel('\theta_i') |O4LR,{G.w  
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ylabel('Amplitude') `m7w%J.>n  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) odaCKhdk  
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axis([0 90 -1 1]) Gw1Rp  
$3c9iVK~_  
grid on q\]"}M8  
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subplot(1,2,2); xN CU5  
f<;w1sM\  
plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) Y6w7sr_R  
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legend('t_p','t_s','|t_p|','|t_s|') yi&6HNb  
3<R8_p  
xlabel('\theta_i') _6!@>`u~  
9^<Y~rkm  
ylabel('Amplitude') Iy8fN"I9D  

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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) x*7Q  
0Q4i<4 XW  
axis([0 90 0 1]) >Sc/E}3  
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grid on tQ7:4._  
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Rp=abs(rp).^2; +L U.QI'  
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Rs=abs(rs).^2; ;]\>jC  
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Rn=(Rp+Rs)/2; mIh >8))E  
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Tp=1-Rp; YU,fx<c  
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Ts=1-Rs; g)L<xN8  
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Tn=(Tp+Ts)/2; _MLbJ  
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figure(2) cyTBp58  
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subplot(1,2,1); LTWiCI  
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plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) E/@  
VKMgcfbHr/  
legend('R_p','R_s','R_n') ?A]/ M~3B  
WG]`Sy  
xlabel('\theta_i') /CXQ&nwY9=  
2|\WaH9P  
ylabel('Amplitude')
S8k<}5  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) f)1*%
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axis([0 90 0 1]) DI0Wk^m  
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grid on T6nc/|Ot  
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subplot(1,2,2); 4QBPN@~t  
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plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) ^y.|KA3[  
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legend('T_p','T_s','T_n') 9Yhlq$;g  
szUJh9-  
xlabel('\theta_i') h!J|4Qa  
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ylabel('Amplitude') tSVU,m  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) wnjAiIE5  
66{Dyn7J~  
axis([0 90 0 1]) aNUMF  
5;@2SY7,  
grid on ijACfl{!:t  
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2、光密射向光疏 C:.>*;?7  
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clear 0IyT(1hS  
r0s(MyI  
close all DfX~}km  
}b^x#HC  
n1=1.45,n2=1; 1L%$\0B4hm  
#xw3a<z?u  
theta=0:0.1:90; kGu{[Rh  
^qLesP#   
a=theta*pi/180; JC#5CCz  
63QF1*gPH  
rp=(n2*cos(a)-n1*sqrt(1-(n1/n2*sin(a)).^2))./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); Fg0!2MKq*  
N!./u(b  
rs=(n1*cos(a)-n2*sqrt(1-(n1/n2*sin(a)).^2))./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); QBd4ok:R  
U$WGe >,  
tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); &q +l5L"  
qq"0X! w  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); B & ]GGy  
0nZQ"{x  
figure(1) v oO7W"  
N%9?8X[5  
subplot(1,2,1); K%UjPzPWw  
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plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) |>b;M,`OO  
wli H3vA_  
legend('r_p','r_s','|r_p|','|r_s|')  |CAMd
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/vpwpVHIpG  
xlabel('\theta_i') 6!H,(Z]j  
+v/-qyA  
ylabel('Amplitude') pJIJ"o'>.9  
T^q^JOC4  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) QZJnb%]  
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axis([0 90 -1.5 1.5]) tAkv'
.  
mV+9*or  
grid on o.V JnrJ  
hFnUw26P  
subplot(1,2,2); #e1iYFgS  
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plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) IY|`$sHb  
`dhBLAt  
legend('t_p','t_s','|t_p|','|t_s|') $4Dr +Z H  
Jp= )L  
xlabel('\theta_i') GI>(S  
O;|jLf_If  
ylabel('Amplitude') mY]o_\`  
+No` 89Y  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) Eqi;m,)  
5s@xpWVot  
axis([0 90 -0.5 3]) F$i 6
 
([#'G+MC&  
grid on 7a=ul:  
AR{$P6u!%|  
Rp=abs(rp).^2; 8#[2]1X^8  
o#WECs>  
Rs=abs(rs).^2; ]x(6^:D5  
z]D/Qr  
Rn=(Rp+Rs)/2; !s:_>P`MQ  
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Tp=1-Rp; v+o6ZNX  
I@IE0+ [n  
Ts=1-Rs; ia,5=SKJ  
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Tn=(Tp+Ts)/2; p+0gE5  
14A(ZWwq9  
figure(2) *j=58d`n  
""Oir!4  
subplot(1,2,1); D&i,`j  
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plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) 3i\Np =  
F'CJN$6Mw/  
legend('R_p','R_s','R_n') hj{)6dBX%  
Wf-XH|j[  
xlabel('\theta_i') JSID@ n<b?  
gk;hpO  
ylabel('Amplitude') CugZ!>;^  
YT,yRV9#  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) p'6XF{  
=yoR>llbBC  
axis([0 90 0 1]) )l/ .<`|  
d[ _@l  
grid on :*^aSPlV  
";7/8(LBZ  
subplot(1,2,2); r4<As`&  
[Jj@A(Cz  
plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) vif)g6,  
hwA&SS  
legend('T_p','T_s','T_n') pjQyN|KS  
/^v!B`A@  
xlabel('\theta_i') y#8 W1%{x  
F1BXu@~e(  
ylabel('Amplitude') Z>3m-:-e  
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/odpmc  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) B/o8r
4[80  
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axis([0 90 0 1]) )y i~p  
kR:kn:  
grid on 8@LUL)"  
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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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