[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 K5 vNhA  
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1、光疏射向光密 M%=P)cC  
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clear \3{3ly~L  
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close all ?ow'^X-  
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n1=1,n2=1.45; qj?2%mK`  
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theta=0:0.1:90; 0B3 QVbp'  
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a=theta*pi/180; G8NR
j9k?  
fuSq ={]  
rp=(n2*cos(a)-n1*sqrt(1-(n1/n2*sin(a)).^2))./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); Uu2N9.5  
mC(u2  
rs=(n1*cos(a)-n2*sqrt(1-(n1/n2*sin(a)).^2))./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); ~Q!~eTw  
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tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); q]v,  
a%[q |oyR  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); 7,_-XV2  
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figure(1) \8_V(lU   
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subplot(1,2,1); b:x7)$(  
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plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) A c:\c7M;  
75(W(V(q  
legend('r_p','r_s','|r_p|','|r_s|') {(HxG4~  
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xlabel('\theta_i') XqFu(Lm8=  
eJf>"IF-  
ylabel('Amplitude') xT+ ;w[s  
ib Ue*Z["1  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) ;qVG \wQq  
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axis([0 90 -1 1]) DB Xm  
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grid on {_ 6t4h}  
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subplot(1,2,2); )PsN_ 42~  
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plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) z"G`o"4 V  
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legend('t_p','t_s','|t_p|','|t_s|') i#CaKS  
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xlabel('\theta_i') ./7&_9|<  
bbfDt^  
ylabel('Amplitude') oV%( 37W9=  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) ^zBjG/'7  
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axis([0 90 0 1]) e6tH/`Uln  
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grid on /%N31  
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Rp=abs(rp).^2; x`};{oz;  
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Rs=abs(rs).^2; 2P;%P]~H  
NqQM!B]  
Rn=(Rp+Rs)/2; 2LhfXBWf  
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Tp=1-Rp; I$3"|7[n  
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Ts=1-Rs; mB{&7Rb0  
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Tn=(Tp+Ts)/2; ;'2`M  
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figure(2) <3i4NXnL2  
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subplot(1,2,1); m &0(%  
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plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) }}4sh5z  
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legend('R_p','R_s','R_n') b0~H>cnA
 
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xlabel('\theta_i') 3/A!_Uc(  
N$=(1`zM=  
ylabel('Amplitude') yr/]xc$  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) AF9[2AH=Y  
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axis([0 90 0 1]) imJ[:E  
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grid on SIaUrC  
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subplot(1,2,2); ei+
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plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) %-1BA*J`|  
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legend('T_p','T_s','T_n') /el["l
 
a=:{{\1o  
xlabel('\theta_i') ]<\;d B  
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ylabel('Amplitude') )JY_eG&2Dx  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) &.+n L  
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axis([0 90 0 1]) QKUBh-QFK  
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grid on /A[oj2un  
nyl8=F:V  
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2、光密射向光疏 VM2@{V/=~  
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clear S$lmEJ_  
|qy"%W@  
close all zI2KIXcc  
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n1=1.45,n2=1; QS=$#Gp  
VM\Z<}C  
theta=0:0.1:90; }x#P<d(  
picP_1L  
a=theta*pi/180; ^ ]6 80h  
1{Alj27  
rp=(n2*cos(a)-n1*sqrt(1-(n1/n2*sin(a)).^2))./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); n6!Ihip$  
LA=>g/+i.X  
rs=(n1*cos(a)-n2*sqrt(1-(n1/n2*sin(a)).^2))./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); NW4 s'roP  
,5A>:2 zs  
tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); dE}b8|</  
wD?=u\% &  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); {OhkuON  
A_(+r  
figure(1) ,m?UFRi  
q*y9/HnI  
subplot(1,2,1); M9 2~iM  
n0_Az2  
plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) E_'n4@}Cx  
SAll9W4  
legend('r_p','r_s','|r_p|','|r_s|') X+gz+V/  
o4[2`mT  
xlabel('\theta_i') s[B6%DI/5  
zIQc#F6\5  
ylabel('Amplitude') u<y\iZ[   
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^  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) #c)Ou!Ldb  
/6+%(f}7l  
axis([0 90 -1.5 1.5]) V\M!]Nnxr  
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grid on '3u]-GU2_  
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subplot(1,2,2); etK,zEd  
;gW|qb+#)j  
plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) qVRO"/R  
+#JhhW Zj(  
legend('t_p','t_s','|t_p|','|t_s|') vK.4JOlRF  
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xlabel('\theta_i') 6% y)  
"0 PN  
ylabel('Amplitude') 13&>w{S}  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) sV'.Bomq  
$}UJs <-F  
axis([0 90 -0.5 3]) 'lRHdD}s  
^R'!\m|FR  
grid on q\HBAry  
L{0OMyUA  
Rp=abs(rp).^2; T17LYHIT  
8`~3MsE"  
Rs=abs(rs).^2; <[5${)  
MJ"Mn^:/  
Rn=(Rp+Rs)/2; }NBJ T4R  
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Tp=1-Rp; 4"X>_Nt6  
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Ts=1-Rs; 6dy4
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Tn=(Tp+Ts)/2; ?.A/E?Oc  
/~rO2]rZ@  
figure(2) 0?Wf\7  
i|,A1c"*  
subplot(1,2,1); 0o=)&%G  
:lQjy@J  
plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) FuiW\=^  
}7
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legend('R_p','R_s','R_n') g5|\G%dOt  
'/*c Yv45  
xlabel('\theta_i') _]ttKT(  
u R%R]X  
ylabel('Amplitude') tWOze, N  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) kGqf@ I+  
>(ww6vk2  
axis([0 90 0 1]) +;iesULXn  
Tc(v\|F,  
grid on V1>94/
waa  
p33GKg0i+(  
subplot(1,2,2); _w
/N[E  
jTgh+j]AP  
plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) @Be:+01z  
!X <n:J  
legend('T_p','T_s','T_n') !skiD}zd1  
hPpXB:(-0  
xlabel('\theta_i') S^VV^O5 ^  
ZWW8Hr  
ylabel('Amplitude') Msu2OF *x  
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title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) cH-
Zj  
PW<wjf,rQ  
axis([0 90 0 1]) RWQW/Gwx  
0a%ui2k  
grid on D"f(nVEr  
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8Xzx;-&4  
I3$vw7}5Y  

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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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