[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 ;n-)4b]\  
) h*)
_7  
1、光疏射向光密 @;T>*_Yhn  
aJnZco6  
clear &VY(W{\eY  
.EOHkhn  
close all =Mg/m'QI  
&4aY5y`8+f  
n1=1,n2=1.45; oD5VE  
s_(%1/{  
theta=0:0.1:90; /+FZDRf!r  
$6~ \xe=  
a=theta*pi/180; ##%R|P3  
<Pg]V:=g'  
rp=(n2*cos(a)-n1*sqrt(1-(n1/n2*sin(a)).^2))./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); a59l"b  
nj
z:7]>e  
rs=(n1*cos(a)-n2*sqrt(1-(n1/n2*sin(a)).^2))./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); EYwDv4H,g  
\\j98(i  
tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); /}~; b#t  
T<p,KqH  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); {{FA"NW  
RETq S  
figure(1) 4r@dV%:%<  

YNGG> ;L  
subplot(1,2,1); ELF,T(  
(#w8/@JxF  
plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) ?}QHEk:H  
o=!3=2@dh  
legend('r_p','r_s','|r_p|','|r_s|') @2mJh^cj  
OG#7Va  
xlabel('\theta_i') w|6;Pf~1y)  
0:W*_w0Ge  
ylabel('Amplitude') !Ua74C
 
~=t,g S  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) G$ l>By  
V24i8Qx  
axis([0 90 -1 1]) L{>XT
 
_IAvFJI  
grid on yFt'<{z[nL  
ulnG|3A9  
subplot(1,2,2); +C~,q{u  
}2sc|K^  
plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) l}>gG[q!  
x\ :x`k@  
legend('t_p','t_s','|t_p|','|t_s|') i!/V wGg  
J~Gq#C^e  
xlabel('\theta_i') E'p5  
O,Xf.O1c  
ylabel('Amplitude') M5C}*c9  
05".;(  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) =2VM(GtK>  
z3IQPl^  
axis([0 90 0 1]) %m'd~#pze  
]Y|Y?  
grid on A9lnQCsJ  
UQl3Tq4QM  
Rp=abs(rp).^2; s[:e '#^  
xACAtJ'gc  
Rs=abs(rs).^2; 'C6K\E  
V Iof4?i  
Rn=(Rp+Rs)/2; CtbmX)vE  
>6XGF(G   
Tp=1-Rp; +p =n-  
]Mv.Rul?~  
Ts=1-Rs;
UzVnC:  
clz6;P  
Tn=(Tp+Ts)/2; 6:i(<7  
6Lw34R  
figure(2) EEQW$W1@  
rj"oz"  
subplot(1,2,1); 3n']\V  
sL;qC\S  
plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) ,HXY|fYr  
4LYeacL B  
legend('R_p','R_s','R_n') `B;^:u  
vJkY  
xlabel('\theta_i') Xj.Tg1^K"  
,R=Mr}@u
 
ylabel('Amplitude') u\zRWX  
|+//pGx  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) Oy$*ZG)  
kUAjQ>  
axis([0 90 0 1]) x|l[fdm5  
lz 
X0B&:  
grid on @bdGV#*d  
r8XY"<
  
subplot(1,2,2); XGZ1a/x;s  
rmc0dm&l]  
plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) kS[xwbE  
Le"$ksu>  
legend('T_p','T_s','T_n') HT/zcd)}#  
KFHn)+*"  
xlabel('\theta_i') fU_itb(  
^w4FqdGM  
ylabel('Amplitude') xg)cA C\=  
Ji SJi?  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) ,qJ/Jt$A  
O3#4B!J$E  
axis([0 90 0 1]) *M;!{)m?  
W[A;VOj0$  
grid on uJ,>Y# ?  
:0ZFbIy  
yyfm  
agX-V{l.  
k}y1IW+3  

2、光密射向光疏 V*SKWP  
y/rmxQtP  
clear 4AB7uw  
!'(bwbd  
close all =7ul
,  
?B@(W(
I  
n1=1.45,n2=1; Ee;&;Q,O.z  
y ?]GOQI  
theta=0:0.1:90; %qL0=ad  
1 *'SP6g  
a=theta*pi/180; K.G}*uy  
O]RP?'vO  
rp=(n2*cos(a)-n1*sqrt(1-(n1/n2*sin(a)).^2))./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); Ej>5PXp'2  
{tMpI\>S  
rs=(n1*cos(a)-n2*sqrt(1-(n1/n2*sin(a)).^2))./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); B!H46w~  
2/O/h  
tp=2*n1*cos(a)./(n2*cos(a)+n1*sqrt(1-(n1/n2*sin(a)).^2)); H2`aw3  
>t')ZSjRs  
ts=2*n1*cos(a)./(n1*cos(a)+n2*sqrt(1-(n1/n2*sin(a)).^2)); k!Nl#.j  
Rok`}t  
figure(1) 6"C$]kF?  
v??}d   
subplot(1,2,1); XZhuV<  
dQLR%i#P8  
plot(theta,rp,'-',theta,rs,'--',theta,abs(rp),':',theta,abs(rs),'-.','LineWidth',2) 2V7x  
2[: *0 DV#  
legend('r_p','r_s','|r_p|','|r_s|') ((F[]<?  
-Wc'k 2oU  
xlabel('\theta_i') p*E_Po  
X(kyu,w  
ylabel('Amplitude') !7t,(Id8  
SbU=Lkx#  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)])
o^%4w>|  
k/hE68<6i  
axis([0 90 -1.5 1.5]) JPW+(n|g  
Y,z15i3j?  
grid on 9{_D"h}}  
;*ebq'D([  
subplot(1,2,2); ?3jOE4~aHr  
v`evuJ\3  
plot(theta,tp,'-',theta,ts,'--',theta,abs(tp),':',theta,abs(ts),'-.','LineWidth',2) lx,^Y647  
kb{h`  
legend('t_p','t_s','|t_p|','|t_s|') hGyi@0  
*.4;7#  
xlabel('\theta_i') bSsX)wHm  
m,',luQ  
ylabel('Amplitude') r
Cqcl  
#?L%M  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) I@~hz%'  
1"ko wp  
axis([0 90 -0.5 3]) ZOvMA]Rf  
&g;4;)p*8  
grid on *kE2d{h^=C  
\ a18Hp|%  
Rp=abs(rp).^2; 6n37R#(  
$$`E@\5P  
Rs=abs(rs).^2; @bU(z$eB  
v`#T)5gl-  
Rn=(Rp+Rs)/2; l&cYN2T b  
e#]=-^  
Tp=1-Rp; uSp=,2)  
%cJ]Ds%V  
Ts=1-Rs; <_&tP=h  
l}B,SkP^  
Tn=(Tp+Ts)/2; zS*GYE(l^  
4SSq5Ve<  
figure(2) rSDS9Vf(  
|Z}uN!Jm  
subplot(1,2,1); {<%zcNKl^L  
Qag@#!&n  
plot(theta,Rp,'-',theta,Rs,'--',theta,Rn,':','LineWidth',2) e!wBNcG2  
O{hGh{y  
legend('R_p','R_s','R_n') =;Gy"F1 dp  
'V
=w?G 5  
xlabel('\theta_i') s8iJl+Jm  
^50#R<Ny  
ylabel('Amplitude') NidG|Yg~Z  
Un\h[m  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) K| #%u2C  
Hp;Dp!PLa  
axis([0 90 0 1]) [P`t8  
Pda(O;aNU  
grid on "QA <5P  
kK+<n8R2  
subplot(1,2,2); is_`UDaB  
}wzU<(Rx  
plot(theta,Tp,'-',theta,Ts,'--',theta,Tn,':','LineWidth',2) 7Wub@Mp  
2)(P;[m^o  
legend('T_p','T_s','T_n') tj@IrwC^e"  
QZ(se  
xlabel('\theta_i') * bx%hX  
TGx:#x*k  
ylabel('Amplitude') 1
L.H"  
Mo`7YS-Y  
title(['n_1=',num2str(n1),',n_2=',num2str(n2)]) [|<2BQX  
w8i"-SE  
axis([0 90 0 1]) $'!r/jV  
(.Yt| "j  
grid on V4p4m@z^u  
sS#Lnj^`%  
#MYhKySku  
Z"rrbN1  

感谢楼主分享

这个在《MATLAB在光学中的应用》这本书里都有

谢谢了楼主分享

thanks

谢谢了楼主分享

学习学习

学习学习 VXr'Z  

Thanks