[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： ChNT;G<6$  
% By Ruibin 08-9-25 G%}k_vi&q
 
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. y^ st T^  
Dj0D.}`~  
clear all;clc ybIqn0&[  
#??[;xjs!  
% The Frist Step: Define independent parameters =#{q#COK$  
r=3.25;               %选择开孔半径 PbV1FB_  
R=4.25;               %定义曲面底部半径 (8NE'd8  
d=1;                  %设置透镜前方平板高度 3_{rXtT)'  
n=1.4935;             %定义材料折射率 YWk+}y}^d  
dividing_angle=24;    %定义Core与TIR的分界角 }%y5<n*v\  
min_angle=1;          %设置计算精度 {t]8#[lo  
N=4;                  %设定拟合非球面系数阶数 >Wd_?NaI  
7$R^u7DZ  
% The Second Step：Caculate induced variable 8@FgvWC  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); 2';{o=TXV  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); wRX#^;O9?>  
for i=1:(num_Core) '@^mesMG  
a_Core(i)=(angles_Core(i)*pi/180); q[. p(6:  
k1(i)=cot(a_Core(i)); xxC2 h
3  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); a`U/|[JM  
end }+)q/]%  
k1(num_Core)=999;k2(num_Core)=0; iBKH\em/  
for i=1:num_TIR ^i@0P}K<  
a_TIR(i)=(angles_TIR(i)*pi/180); 7eF
FKl  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); _+Pz~_+kS  
k4(i)=tan(asin(cos(a_TIR(i))/n)); YlZ&4  
end dTwYDV}:  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); xd
4~[n\hm  
1T4#+kW&  
% The Third Step:Solve functions vI"BNC*Q1  
for i=1:num_Core                    %Solve the curve of Core [[ll4|  
syms x; nM!_C-
yX  
f1=k1(i)*x; p$Floubh]  
f2=k2(i)*(x-X0_Core)+Y0_Core; CX]L'  
f=f1-f2; m`tX&K#-  
x=double(solve(f));y=k1(i)*x; 5'|W
(yR}  
X0_Core=x;Y0_Core=y; Y7')~C`up^  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; Xhpcu1nA  
end AU8sU?=  
for i=1:num_TIR                      %Solve the curve of TIR (De>k8  
syms x; 9?s
m-qP  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Y/L*0M.<  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); Fj`K$K?  
f=f1-f2; /:C<{m.[}  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; bUuQ"!>ppu  
X0_TIR=x;Y0_TIR=y; %@HuAcNi  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; {WTy/$ Qk  
end IJ7wUZp"  
CFu^i|7o  
% The furth Step:Fitting the curve DyUS^iz~o  
P_Core=polyfit(Px_Core,Py_Core,4); c1 j@*6B  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 0~Xt_rN](  
UC.kI&A  
% The fifth Step:Feedback chief dimensions of the lens and Create it ehZ/J5  
%Feedback dimensions of the whole lens l.BiE<&  
result='透镜尺寸如下：' 5?f!hB|6  
Diameter_of_lens=2*Px_TIR(num_TIR) 9&Z+K'$=  
Thickness_of_lens=Py_TIR(num_TIR)+d KC8  
Diameter_of_Core=2*r mp*?GeV?M  
Thickness_of_front_pannel=d {"|la;*I  
Bottom_thickness=R-r &<- S-e  
Lowest_Core=P_Core(5) -U|Z9sia  
+DE;aGQ.z?  
%Feedback dimensions of Lens part TIR R%`fd *g  
result='TIR系数如下：' '#jZ`  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d f @Vd'k<  
Aperture=Px_TIR(num_TIR) ~^fb`f+%  
Obstruction=r ^,`]Q)P^  
Position=P_TIR(5) ^E".`~R  
format short e; O.{
  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] eWr6@  
format short; dt/-0~U  
B)dG:~  
%DDE Connection xWM?E1@  
TP_COMMAND = ddeinit('TracePro','Scheme'); X(Z(cY(  
%Create TIR lcVG<*gf-  
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)))']; \$gA2r  
ddeexec(TP_COMMAND,cmd); G?Za/G  
cmd =['(entity:move TIR 0 0 -2.3712)']; Zu94dF
P  
ddeexec(TP_COMMAND,cmd); 7JBr{3;eS  
cmd =['(property:apply-name TIR "TIR")'];  6NSSuK3  
ddeexec(TP_COMMAND,cmd); pdjRakN  
Emw]`  
%Feedback dimensions of Lens part TIR VLoRS)   
result='Core系数如下：' tqjjn5!  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d 5tEkQ(Ei8  
Aperture=r 46~nwi$,^  
Obstruction='None' +x<OyjY5?]  
Position=P_Core(5) bgkBgugZhX  
format short e; ~g;)8X;;+  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] BnaI30-  
format short; CZ =]0zB  
%Create Core nQ{~D5y,,  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; *w}r:04F  
ddeexec(TP_COMMAND,cmd); &>G8DvfJ9  
cmd =['(entity:move Core 0 0 5.9493)']; i`?yi-R&  
ddeexec(TP_COMMAND,cmd); Bm<tCN-4  
cmd =['(property:apply-name Core "Core")']; XD80]@\za  
ddeexec(TP_COMMAND,cmd); QP>F *A  
{XwDvLZ  
%Create Lens RLcC>Z  
cmd =['(define Unite (bool:unite TIR Core))']; ?yu@eo  
ddeexec(TP_COMMAND,cmd); pimI)1 !$'  
cmd =['(define block (insert:block 100 100 100))']; N2
lz{  
ddeexec(TP_COMMAND,cmd); QSwT1P'U  
cmd =['(entity:move block 0 0 -50)']; TP)o0U  
ddeexec(TP_COMMAND,cmd); }g:'K  
cmd =['(define Lens (bool:subtract Unite block))']; 9D;
ono3  
ddeexec(TP_COMMAND,cmd); }9FWtXAU^1  
cmd =['(property:apply-name Lens "Lens")']; x'SIHV4M@Q  
ddeexec(TP_COMMAND,cmd); I.`DBI#-f  
!(3[z>  
%Close the DDE connection 6rO^ p  
ddeterm(TP_COMMAND); <N3~X,ch  

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