[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： 1~_]"Y'  
% By Ruibin 08-9-25 {^N=hI  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. nhy3E  
+]AE}UXZoh  
clear all;clc inhb>zB  
3nG(z>  
% The Frist Step: Define independent parameters O[8Lp?  
r=3.25;               %选择开孔半径 KJ~f~2;  
R=4.25;               %定义曲面底部半径 v|`)
~"~  
d=1;                  %设置透镜前方平板高度 1*=[% d7  
n=1.4935;             %定义材料折射率 (apAUIE  
dividing_angle=24;    %定义Core与TIR的分界角 0tl  
min_angle=1;          %设置计算精度 TeG
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N=4;                  %设定拟合非球面系数阶数 Z&PwNr/  
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% The Second Step：Caculate induced variable .kBAUkL:  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); T$'Ja'9Kj  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); VGe/;&1h  
for i=1:(num_Core) 6C  
a_Core(i)=(angles_Core(i)*pi/180); (D))?jnC  
k1(i)=cot(a_Core(i)); S__ o#nf`%  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ^D6JckW  
end HeR-;L  
k1(num_Core)=999;k2(num_Core)=0; zf^!Zqn[8z  
for i=1:num_TIR AU)Qk$
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a_TIR(i)=(angles_TIR(i)*pi/180); AR)&W/S)7,  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); X3q'x}{  
k4(i)=tan(asin(cos(a_TIR(i))/n)); gBrI
qM i5  
end `< VoZ/v  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); /LJ?JwAvg5  
lZb1kq%9g  
% The Third Step:Solve functions <]"aP1+C  
for i=1:num_Core                    %Solve the curve of Core .*v8*8OJ&  
syms x; %1e`R*I  
f1=k1(i)*x; /(vT49(]  
f2=k2(i)*(x-X0_Core)+Y0_Core; zQ7SiRt7*  
f=f1-f2; @aBZ|8
 
x=double(solve(f));y=k1(i)*x; Z\NC+{7k]  
X0_Core=x;Y0_Core=y; G;,2cu K  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; }!B<MGBd  
end 7+?  
for i=1:num_TIR                      %Solve the curve of TIR {KODwP'~  
syms x; EV]exYWB  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 0PTB3-  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 2
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f=f1-f2; }Z2Y>raA\  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; b7HS3NYk  
X0_TIR=x;Y0_TIR=y; e}7qZ^  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; -6Cxz./#yS  
end 2,dGRf  
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% The furth Step:Fitting the curve #B>Hq~ vrC  
P_Core=polyfit(Px_Core,Py_Core,4); v!40>[?|p  
P_TIR=polyfit(Px_TIR,Py_TIR,4); O4( Z%YBe  
v%B^\S3)  
% The fifth Step:Feedback chief dimensions of the lens and Create it 5>/,25 99  
%Feedback dimensions of the whole lens y?Fh%%uNr  
result='透镜尺寸如下：' Qx$Yj  
Diameter_of_lens=2*Px_TIR(num_TIR) ~/ "aD  
Thickness_of_lens=Py_TIR(num_TIR)+d 3\6jzD  
Diameter_of_Core=2*r !AP|ozkL  
Thickness_of_front_pannel=d XPb7gd"%W  
Bottom_thickness=R-r 2<U5d`  
Lowest_Core=P_Core(5) {8b6A~/  
6rdm=8WFA  
%Feedback dimensions of Lens part TIR %vyjn
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result='TIR系数如下：' Qp%kX@Z'  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d #2Mz.=#G  
Aperture=Px_TIR(num_TIR) t5[{ihv~:  
Obstruction=r 0Ac]&N d`  
Position=P_TIR(5) zn@tLLX  
format short e; -`#LrO;n  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] v-&^G3  
format short; Mx[tE?!2  
KJJ8P`Kx  
%DDE Connection [+>$'Du  
TP_COMMAND = ddeinit('TracePro','Scheme'); !d%OoRSU'  
%Create TIR kXv -B-wOj  
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)))']; Jg|
/*Or  
ddeexec(TP_COMMAND,cmd); 5U%uS^%DP  
cmd =['(entity:move TIR 0 0 -2.3712)']; !!dNp5h`  
ddeexec(TP_COMMAND,cmd); wGAN"K:e  
cmd =['(property:apply-name TIR "TIR")']; Ewu 7tq Z  
ddeexec(TP_COMMAND,cmd); x@(91f  
>.QD:_@:  
%Feedback dimensions of Lens part TIR V=.lpj9m  
result='Core系数如下：' En-eG37l  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d O*!+D-  
Aperture=r qDNqd  
Obstruction='None' swe6AQ-  
Position=P_Core(5) a)[tkjU  
format short e; ka*VQXk*  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] ^vJ08gu_W  
format short; r'k-*I  
%Create Core 1%EIP-z  
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)))']; ?OlYJ/!z3  
ddeexec(TP_COMMAND,cmd); ;./Tv84I^  
cmd =['(entity:move Core 0 0 5.9493)']; bWG}>{fj  
ddeexec(TP_COMMAND,cmd); e#SNN-hKsJ  
cmd =['(property:apply-name Core "Core")']; !j(v-pQf"  
ddeexec(TP_COMMAND,cmd); +X"TiA7{j  
Qx'a+kLu9  
%Create Lens fHR1kuy  
cmd =['(define Unite (bool:unite TIR Core))']; l'?/$?'e_Z  
ddeexec(TP_COMMAND,cmd); .\LWV=B  
cmd =['(define block (insert:block 100 100 100))']; V'\4sPt  
ddeexec(TP_COMMAND,cmd); N{ ;{<C9Z  
cmd =['(entity:move block 0 0 -50)']; ` _[\j]  
ddeexec(TP_COMMAND,cmd); Fl^.J<Dz  
cmd =['(define Lens (bool:subtract Unite block))']; s XRiUDP`  
ddeexec(TP_COMMAND,cmd); v)4 kS  
cmd =['(property:apply-name Lens "Lens")']; HO}aLp  
ddeexec(TP_COMMAND,cmd); $Y)|&,  
jpT!di  
%Close the DDE connection ayHI(4!$j  
ddeterm(TP_COMMAND); E^T/Qu  

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