[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： 'KpCPOhfR  
% By Ruibin 08-9-25 xou7j  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. Tj*o[2mD  
,'5P
[-  
clear all;clc KIn^,d0H  
%\N.m/5  
% The Frist Step: Define independent parameters "F>-W\%  
r=3.25;               %选择开孔半径 S#0y\  
R=4.25;               %定义曲面底部半径 }#zE`IT  
d=1;                  %设置透镜前方平板高度 ?"+'OOqik  
n=1.4935;             %定义材料折射率 nkHr(tF 7  
dividing_angle=24;    %定义Core与TIR的分界角 R<LW*8  
min_angle=1;          %设置计算精度 U#G uB&V  
N=4;                  %设定拟合非球面系数阶数 qTC`[l  
DamLkkoA  
% The Second Step：Caculate induced variable g*t.g@B<2  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); Dn$zwksSs  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); %8`zaa  
for i=1:(num_Core) ( f8g}2  
a_Core(i)=(angles_Core(i)*pi/180); .Y'kDuUu  
k1(i)=cot(a_Core(i)); )ZzwD]  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); F<BhN+U  
end ;w4rwL  
k1(num_Core)=999;k2(num_Core)=0; \F,?ptu  
for i=1:num_TIR ']$ttfJB  
a_TIR(i)=(angles_TIR(i)*pi/180); H(Mlf  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); V)R-w`  
k4(i)=tan(asin(cos(a_TIR(i))/n)); RUf,)]Vvk  
end \|R`wFn^P  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); ]=9%fA  
@^Mn PM  
% The Third Step:Solve functions W#e:rz8=  
for i=1:num_Core                    %Solve the curve of Core 6`NsX  
syms x; T7m rOp  
f1=k1(i)*x; )ty *_@N0  
f2=k2(i)*(x-X0_Core)+Y0_Core; +>z/54R  
f=f1-f2; &gF{<$$  
x=double(solve(f));y=k1(i)*x; }n=Tw92g  
X0_Core=x;Y0_Core=y; \ :})R{  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; kSU*d/}*u  
end %P_\7YBC>  
for i=1:num_TIR                      %Solve the curve of TIR &IT'%*Y:V  
syms x; {x
EX_$nv  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; jR@-h"2*A  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 1}S_CR4XBs  
f=f1-f2; oLruYSaD  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; i2)SSQ  
X0_TIR=x;Y0_TIR=y; rZGbU&ZM8  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 8i-?\VZD  
end A40 -])'!  
'P@
a_*I  
% The furth Step:Fitting the curve CvQ LF9|  
P_Core=polyfit(Px_Core,Py_Core,4); z&<Rx[  
P_TIR=polyfit(Px_TIR,Py_TIR,4); W7(OrA!  
g?j"d{.9t  
% The fifth Step:Feedback chief dimensions of the lens and Create it 2_r}4)z  
%Feedback dimensions of the whole lens )yJeh  
result='透镜尺寸如下：' "T}J|28Z  
Diameter_of_lens=2*Px_TIR(num_TIR) ,)]ZD H  
Thickness_of_lens=Py_TIR(num_TIR)+d H _3
gVrP_  
Diameter_of_Core=2*r fbw{)SZ  
Thickness_of_front_pannel=d [FiXsYb.8  
Bottom_thickness=R-r KN}[N+V>  
Lowest_Core=P_Core(5)
;i:Uoyi  
m 7 Fz&bN  
%Feedback dimensions of Lens part TIR 9%zR?u  
result='TIR系数如下：' \SLYqJ~m  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d Tj:+:B(HB  
Aperture=Px_TIR(num_TIR) J\;~(: ~  
Obstruction=r r{%NMj  
Position=P_TIR(5) =[1W.Zt  
format short e; _LK>3Sqd  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 2"__jp:(  
format short; r.K4<ly-N  
gLpWfT29V  
%DDE Connection X]1ep  
TP_COMMAND = ddeinit('TracePro','Scheme'); RtqW!ZZ:H  
%Create TIR zv0RrF^  
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)))']; {'!D2y.7g  
ddeexec(TP_COMMAND,cmd); "X]ufZ7  
cmd =['(entity:move TIR 0 0 -2.3712)']; r<|\4zIo/  
ddeexec(TP_COMMAND,cmd); "9WP^[  
cmd =['(property:apply-name TIR "TIR")']; x<ENN>mW1  
ddeexec(TP_COMMAND,cmd); Zfb:>J@h6  
YRYrR|I  
%Feedback dimensions of Lens part TIR [dzb{M6_  
result='Core系数如下：' !)\`U/.W  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d 7#g C(&\A  
Aperture=r aD&10b9`  
Obstruction='None' P@5^`b|  
Position=P_Core(5) ;<&s_C3  
format short e; x_@ev
-  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] zP9 HYS  
format short; OOk53~2id  
%Create Core eQ9x l
 
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)))']; W6_3f-4g  
ddeexec(TP_COMMAND,cmd); Hb]7>[L  
cmd =['(entity:move Core 0 0 5.9493)']; /FYa{.Vlr  
ddeexec(TP_COMMAND,cmd); S[u<vHy  
cmd =['(property:apply-name Core "Core")']; VX>_Sps  
ddeexec(TP_COMMAND,cmd); )(ma  
-8pHjry'q  
%Create Lens P&F)E
#Sa  
cmd =['(define Unite (bool:unite TIR Core))']; F~DG:x~  
ddeexec(TP_COMMAND,cmd); b _u&%  
cmd =['(define block (insert:block 100 100 100))']; R]V`t^1  
ddeexec(TP_COMMAND,cmd); !^m
5by  
cmd =['(entity:move block 0 0 -50)']; DI&xTe9k  
ddeexec(TP_COMMAND,cmd); 4\$Ze0tv  
cmd =['(define Lens (bool:subtract Unite block))']; 5#fLGXP  
ddeexec(TP_COMMAND,cmd);
3oKqj>  
cmd =['(property:apply-name Lens "Lens")']; *508PY  
ddeexec(TP_COMMAND,cmd); 3>jz3>v@  
6Nl$&jL  
%Close the DDE connection 2 G"p:iPp  
ddeterm(TP_COMMAND); #dl8+  

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