[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 \y<n{"a  
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1、光疏射向光密 dIK!xOStA  
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clear %,)[%
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close all #V~r@,  

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n1=1,n2=1.45; \:O5,wf2  

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theta=0:0.1:90; 9ft7  
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a=theta*pi/180; iD{;!dUZ  
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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)); PUu
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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)); 2MJ0[9  
]D<r5P%  
tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); )Ax1?Nx$  
xe%+Yb]  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); wUl}x)xo  
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figure(1) b vUYLWzS  
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subplot(1,2,1); 8Zwq:lV Q  
HnU}Lhjzj  
plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) jcevpKkRG  
>#xpg&2x  
legend('r_p','r_s','|r_p|','|r_s|') #d__  
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xlabel('\theta_i') lE%0ifu  
hOw7"'# !  
ylabel('Amplitude') pdmeB  
ud!iy  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) V.:imj  
Xc`'i@FX  
axis([0 90 -1 1]) %6*xnB
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JCS$Tm6y<_  
grid on 1*(^<x+n  
op[OB=  
subplot(1,2,2); m#DC;(Pn  
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plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) =>/aM7]  
nj #Ab  
legend('t_p','t_s','|t_p|','|t_s|') o;-)8
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xlabel('\theta_i') ;M\H#%G.  
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ylabel('Amplitude') @S<=Okrlj  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) X[BKF8,  
Z2hRTJJ[A  
axis([0 90 0 1]) O`~T:N|D  
xZbm,.v  
grid on G^j/8e  
t\u0\l>  
Rp=abs(rp).^2; ADlPdkmym  
v8_HaA$5Y  
Rs=abs(rs).^2; UiF?Nx~  
 +'Tr>2V  
Rn=(Rp+Rs)/2; |.)dOk,o  
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Tp=1-Rp; wD}[XE?S  
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Ts=1-Rs;
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Tn=(Tp+Ts)/2; _T8#36iR  
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figure(2) ImyB4welo  
OBl-6W  
subplot(1,2,1); >*{\N^:z  
$w#C;2k]N  
plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) h#'(UZ  
q_']i6  
legend('R_p','R_s','R_n') 5;C+K~Y  
%/-Z1Nv*#  
xlabel('\theta_i') r
9z/hm}E  
RY&Wvkjh  
ylabel('Amplitude') O0';j!?X  
rh?!f(_@  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) TV0(uMZ0+'  
mEr*n  
axis([0 90 0 1]) L:%; Fx2  
,/ly|Dv  
grid on D=o9+5Slw  
4Z1-RS  
subplot(1,2,2); a]BnHLx  
gO1`zP!9Z  
plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) j*rra  
Tg)Fr)  
legend('T_p','T_s','T_n') )9{?C4NQ  
<Y9((QSM4  
xlabel('\theta_i') f
[!N]*  
%}x/fq  
ylabel('Amplitude') wQlK[F]!>  
7V%}U5  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) w*uHB;?  
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axis([0 90 0 1]) b~y1'|}g  
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grid on wVP{R3  
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t8E'd:pE  
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2、光密射向光疏 ]Z&2  
IwiR2K  
clear L*6Tz'Qp  
r2]:'O6  
close all 1X.5cl?V  
6(f[<V!r  
n1=1.45,n2=1; t.v@\[{-  
4xjk^N9  
theta=0:0.1:90; wBTnI>l9[  
6-{QU] #  
a=theta*pi/180; L!|c: 8  
~raRIh=  
rp=(n2*cos(a)-n1*sqrt(1-(n1/n2*sin(a)).^2))./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); Mmq{]q~At
 
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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<i.6|  
t \kI( G  
tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); ff**)Xdh  
S^]i  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); N1jj\.nB  
-5l74f!i  
figure(1) 79AOvh  
LNmsvU  
subplot(1,2,1); B5hk]=Ud  
1C6H\;  
plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) CTv-$7#  
'=EaZ>=  
legend('r_p','r_s','|r_p|','|r_s|') (
y7U}Sb'  
CaX&T2(  
xlabel('\theta_i') S\JV96  
#(FG
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ylabel('Amplitude') n a])bBn  
lwIU|T<4  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) r3<yG"J86  
~Aq;g$IJZ  
axis([0 90 -1.5 1.5]) J 6U3}SO=y  
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grid on }A'QXtI/G  
y+\nj3v6  
subplot(1,2,2); 'oBT*aL  
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plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) `So*\#\T  
i=#<0!m  
legend('t_p','t_s','|t_p|','|t_s|') /PN[g~3  
T.HS.
 
xlabel('\theta_i')
ABvB1[s#  
#lRkp.e  
ylabel('Amplitude') (0g@Z`r  
\74+ cN  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) ^P >; %  
zFmoo4P/  
axis([0 90 -0.5 3]) SxcNr5F   
[H$rdh[+  
grid on 8*V^DM3n-  
vG`R.  
Rp=abs(rp).^2; U@x5cw:  
Xs$k6C3  
Rs=abs(rs).^2; 3yn>9qt  
M^DYzJ  
Rn=(Rp+Rs)/2; Wg9q
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Eqj&SA  
Tp=1-Rp; xH#R_  
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Ts=1-Rs; U@yn%k9  
Vi[* a  
Tn=(Tp+Ts)/2; PB*mD7"  
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figure(2) ORHs1/L`j  
ue@ fry  
subplot(1,2,1); ;2y3i5^k  
$e1==@ R  
plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) wK0vKdi  
gBGUGjVj  
legend('R_p','R_s','R_n') Elw fqfO  
Rqu_[M  
xlabel('\theta_i') ya8MjGo  
T!
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ylabel('Amplitude') u+"3l@Y#  
h BD .IB  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) musZCg$  
RuSKJ,T:9  
axis([0 90 0 1]) pLi_)(#z_  
U
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grid on tJ
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9}LcJ  
subplot(1,2,2); ;5QdT{$H  
aGY R:jR$  
plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) BU],,t\
 
HE#IJB6BS?  
legend('T_p','T_s','T_n') PoTJ4z  
|#G.2hMFr  
xlabel('\theta_i') <=2\xJfxB  
.&fG_(6|  
ylabel('Amplitude') OOJg%y*H  
y}Ji( q~  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) ~~,] b  
[xW;5j<87  
axis([0 90 0 1]) NH+?7rf8  
Ud@D%?A7  
grid on ~5S[Sl  
lr[U6CJY  
b?S,%  
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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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