[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 k-5Enbkr  
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1、光疏射向光密 &?~OV:r9  
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clear *}BaO*
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vZEeb j  
close all [x}]sT`#a  
x!6&)T?!n  
n1=1,n2=1.45; p3?!}VM!y  
r!/=Iy@  
theta=0:0.1:90; Rw4"co6  
~ Iin|  
a=theta*pi/180; 63
hOK  
wc#+Yh
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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)); #vk-zx*v7=  
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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)); eWjLP{W  
wNsAVUjLe  
tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); om$x;L6  
Jw%0t'0Zi  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); \@yx;}bdI  
sT|$@$bN  
figure(1) IN
ca  
|\g=ua+h  
subplot(1,2,1); JffjGf-o  
~jK'n4  
plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) eow6{CD8  
L<HJ!  
legend('r_p','r_s','|r_p|','|r_s|') i:ar{ q  
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xlabel('\theta_i') $JKR,  
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ylabel('Amplitude') oj.f uJD  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) Rv9oK-S  
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axis([0 90 -1 1]) qTM,'7Rwn  
!Pnvqgp/  
grid on c_#\'yeW  
fmH"&>Loc  
subplot(1,2,2); BR1oE3in  
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plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) ImJ2tz6  
I[|5 DQ  
legend('t_p','t_s','|t_p|','|t_s|') =rBNEd  
9|yn{4E  
xlabel('\theta_i') 2{!o"6t  
@eQIwz  
ylabel('Amplitude') jYAD9v%  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) r)$(>/[$  
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axis([0 90 0 1]) ]^HlI4 z  
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grid on
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Rp=abs(rp).^2; 32[lsU>1  
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Rs=abs(rs).^2; lp`raNNo  
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Rn=(Rp+Rs)/2; OhT?W
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Tp=1-Rp; r|rOIAo  
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Ts=1-Rs; {Lj]++`fB]  
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Tn=(Tp+Ts)/2; -h&AO\*^W  
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figure(2) 8,0p14I5;  
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subplot(1,2,1); *QAcp` ;*  
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plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) #T0uPK ;  
o#V}l^uU=  
legend('R_p','R_s','R_n') 3D3/\E#'o  
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xlabel('\theta_i') aiP.\`>}  
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ylabel('Amplitude') h^E"eC  
BD6oN]  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) }?zy*yL  
$q`650&S*  
axis([0 90 0 1]) p<#WueR[  
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grid on '0z-duu  
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subplot(1,2,2); m[~fT(NI  
@1_M's;  
plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) zTODV<-`  
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legend('T_p','T_s','T_n') o+e
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x9UF  
xlabel('\theta_i') 3ZO\Pu  
8]U;2H/z  
ylabel('Amplitude') s+{)K  
nH*JR  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) L+s3@C;b  
#l kv&.)x  
axis([0 90 0 1]) y7ng/vqM7  
-%8*>%  
grid on IKT3T_\-I  
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15NeC7GAh  
!g=2U`j^  
V/C":!;  

2、光密射向光疏 -\ {.]KL  
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clear #^|"dIZ_M  
>NL4&MV:  
close all VJp; XM  
!% 'dyj  
n1=1.45,n2=1; W!@*3U]2R  
C!a
#M{:  
theta=0:0.1:90; E?,O>bCJ5  
l_Eeus  
a=theta*pi/180; 0O,Q]P 82f  
&-l(nr]h]  
rp=(n2*cos(a)-n1*sqrt(1-(n1/n2*sin(a)).^2))./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); 1DzI@c~X  
QLr.5Wcg>  
rs=(n1*cos(a)-n2*sqrt(1-(n1/n2*sin(a)).^2))./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); ,OGXH2!h  
PH6!
T/2[  
tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); 1?6zsA%N  
'Ipp1a Z_M  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); nQy%av$  
o*\Fj}l-  
figure(1) <$H-/~Y  
yL ?dC"c  
subplot(1,2,1); %3ieR}:/e&  
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plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) _ML`Vh]  
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legend('r_p','r_s','|r_p|','|r_s|') 6 07"Z
\  
El9D1],  
xlabel('\theta_i') 2D`_!OG=  
#`kLU:  
ylabel('Amplitude') MlbQLtw  
Zt3Y<3o  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) c-?2>%;(V  
k;)t}7(  
axis([0 90 -1.5 1.5]) iLvzoQ  
g#??Mz  
grid on VB(S]N)F^  
y9/x:n&]  
subplot(1,2,2);  OhNEt>  
'h]sq{  
plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) s,~p}A%0  
m+3U[KKvG  
legend('t_p','t_s','|t_p|','|t_s|') r
]6X  
!Z0p94L  
xlabel('\theta_i') 5Xe1a'n5]  
qFV }Y0w  
ylabel('Amplitude') xzI?'?duC  
q!r4"#Y"@Z  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) G]NnGL<xk  
pb`!_GmB  
axis([0 90 -0.5 3]) x JXPtm  
Oo-%;l`&  
grid on zJxO\  
E;*JD x  
Rp=abs(rp).^2; 06r-@iY.]  
G/y@`A)  
Rs=abs(rs).^2; /kK%}L_D  
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Rn=(Rp+Rs)/2; @+iO0?f  
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Tp=1-Rp; rhr(uCp/  
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Ts=1-Rs; Ok/U"N-  
Lt<KRs  
Tn=(Tp+Ts)/2; +f+#W  
_--kK+rU  
figure(2) i wFI lJ@  
"3\C;B6I  
subplot(1,2,1); S8S<>W  
Q,AM<\S  
plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) 7K.in3M(  
C=y[WsT  
legend('R_p','R_s','R_n') +CQ$-3  
_7k6hVQ  
xlabel('\theta_i') I7Uj<a=(q  
"&@v[O)!xu  
ylabel('Amplitude') [WAnII  
(*
XSrQ  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) 5VLJ:I?0O  
KcW]"K>p!  
axis([0 90 0 1]) Uiz#QGt  
 n}f*>Mn  
grid on
p%?VW  
}
}cS-p  
subplot(1,2,2); uFXu9f+  
/-mo8]J#2~  
plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) 3P&K<M#\  
!.^%*6f  
legend('T_p','T_s','T_n') VvS  ^f  
'TdO6-X  
xlabel('\theta_i') X-mhz3Q&a  
}2X"  
ylabel('Amplitude') +hW^wqk/.  
d9E'4Zm  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) H:x{qS4Si  
uPvE;E_  
axis([0 90 0 1]) >U2[]fu  
9pPohR*#V  
grid on 8}A+{xVp8  
4uSC>  
REaU=-m-  
*It`<F|  

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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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