[求助]matlab画准直透镜曲线？ [复制链接]

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算出来也就自然画出来了啊

谢谢哈~

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看看e:matlab画准直透镜曲线？

程序如下： Cb{n4xKW6  
% By Ruibin 08-9-25 !uC`7a  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. &$'=S
L(Z  
uSAb  
clear all;clc #ny&bJj  
6{XdLI  
% The Frist Step: Define independent parameters
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r=3.25;               %选择开孔半径 +npcU:(Kg  
R=4.25;               %定义曲面底部半径 r N"P IH  
d=1;                  %设置透镜前方平板高度 rm-6Az V  
n=1.4935;             %定义材料折射率 QO'=O}e  
dividing_angle=24;    %定义Core与TIR的分界角 Kn#3^>D  
min_angle=1;          %设置计算精度 7c:5Ey  
N=4;                  %设定拟合非球面系数阶数 !PaDq+fB  
=<_ei|ME  
% The Second Step：Caculate induced variable efK)6T^p  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); j3!]wolY  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); *ybwlLg  
for i=1:(num_Core) =,*4:
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a_Core(i)=(angles_Core(i)*pi/180);  N+<`Er  
k1(i)=cot(a_Core(i)); Qx_K)  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); d/Sx+1 "{T  
end ~)RKpRga\p  
k1(num_Core)=999;k2(num_Core)=0; JD\:bI  
for i=1:num_TIR Yj^| j  
a_TIR(i)=(angles_TIR(i)*pi/180); qU'O4TWZ  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); D]I]I!2c  
k4(i)=tan(asin(cos(a_TIR(i))/n)); rA*"22v=  
end G8JwY\  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); . PzlhTL7  
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% The Third Step:Solve functions [5v[Zqud  
for i=1:num_Core                    %Solve the curve of Core 5UFR^\e  
syms x; I+) Acy;  
f1=k1(i)*x; x*)@:W!  
f2=k2(i)*(x-X0_Core)+Y0_Core; iNTw;ov  
f=f1-f2; +sTZ) 5vQ  
x=double(solve(f));y=k1(i)*x; B:YUb{CJ  
X0_Core=x;Y0_Core=y; ;st$TVzkn  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; x?ajTzMv  
end ]FJpe^ ua  
for i=1:num_TIR                      %Solve the curve of TIR AT#&`Ew  
syms x; u-CCUMR  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 
t=`bXBX1  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 0FDfB;  
f=f1-f2; #+1*g4m~B  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; `_IgH  
X0_TIR=x;Y0_TIR=y; Ha~g8R&  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; ]}g;q*!J  
end &ZjQa.-U>  
DqLZc01>  
% The furth Step:Fitting the curve %"R|tlG  
P_Core=polyfit(Px_Core,Py_Core,4); =h~\nTN  
P_TIR=polyfit(Px_TIR,Py_TIR,4); G
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uT5sLpA|6  
% The fifth Step:Feedback chief dimensions of the lens and Create it ))M; .b.D  
%Feedback dimensions of the whole lens zc<C %t[~y  
result='透镜尺寸如下：' k^|P8v+"D  
Diameter_of_lens=2*Px_TIR(num_TIR) YN\!I  
Thickness_of_lens=Py_TIR(num_TIR)+d `-l,`7e'  
Diameter_of_Core=2*r `Gl@?9,i  
Thickness_of_front_pannel=d *wml 4lh  
Bottom_thickness=R-r a95QDz  
Lowest_Core=P_Core(5) |%F[.9Dp  
p;S<WJv k  
%Feedback dimensions of Lens part TIR Ok-*xd  
result='TIR系数如下：' u S$:J:Drx  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d 0@R @L}m  
Aperture=Px_TIR(num_TIR) {DPobyvwFk  
Obstruction=r \9T;-]  
Position=P_TIR(5) $<)k-Cf  
format short e; HvWnPh1l  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] EJ*  
format short; Ea%}VZ&[  
ZJotg*I  
%DDE Connection :les 3T}2  
TP_COMMAND = ddeinit('TracePro','Scheme'); F
e(qf>E  
%Create TIR _kR,R"lh  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; qDqgU  
ddeexec(TP_COMMAND,cmd); <r*A(}Y  
cmd =['(entity:move TIR 0 0 -2.3712)']; q%u;+/|l  
ddeexec(TP_COMMAND,cmd); iJg3`1@j  
cmd =['(property:apply-name TIR "TIR")']; D0?l
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ddeexec(TP_COMMAND,cmd); MB,;HeP!  
8$fiq}a  
%Feedback dimensions of Lens part TIR kRBPl99  
result='Core系数如下：' gAe*kf1  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d 9aw- n*<  
Aperture=r '1{#I/P;  
Obstruction='None' \JBJ$lBL  
Position=P_Core(5) %J06]FG7  
format short e; ~=5vc''  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] eMf+b;~R  
format short; I!y[7^R  
%Create Core  *$nz<?  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; s)
q;{wz  
ddeexec(TP_COMMAND,cmd); D.2HM  
cmd =['(entity:move Core 0 0 5.9493)']; gt5  
ddeexec(TP_COMMAND,cmd); /? n 9c;w  
cmd =['(property:apply-name Core "Core")']; NGHzifaE   
ddeexec(TP_COMMAND,cmd); g->cgExj  
5b_[f(  
%Create Lens F`9;s@V*  
cmd =['(define Unite (bool:unite TIR Core))']; oWVlHAPj  
ddeexec(TP_COMMAND,cmd); U@$Kp>X  
cmd =['(define block (insert:block 100 100 100))']; W`fE@*k0  
ddeexec(TP_COMMAND,cmd); v4}kmH1  
cmd =['(entity:move block 0 0 -50)']; 3IqYpK(s  
ddeexec(TP_COMMAND,cmd); ZbJUOa?W
F  
cmd =['(define Lens (bool:subtract Unite block))']; L3M
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ddeexec(TP_COMMAND,cmd); :F:<{]oG_  
cmd =['(property:apply-name Lens "Lens")']; t 7D2k2x9  
ddeexec(TP_COMMAND,cmd); NJb5H
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fL7ym,?  
%Close the DDE connection irNGURLm  
ddeterm(TP_COMMAND); @b=b>V[d6  

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