[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： k~IRds@G  
% By Ruibin 08-9-25 #
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% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. tKYg  
S0H|:J  
clear all;clc 9O|k|FD  
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% The Frist Step: Define independent parameters 1{.5X8y1x  
r=3.25;               %选择开孔半径 v(~EO(n.  
R=4.25;               %定义曲面底部半径 Z
DbzH=[  
d=1;                  %设置透镜前方平板高度 w-P;E!gTt  
n=1.4935;             %定义材料折射率 04#<qd&ob@  
dividing_angle=24;    %定义Core与TIR的分界角 FE3uNfQs|  
min_angle=1;          %设置计算精度 K96N{"{iI%  
N=4;                  %设定拟合非球面系数阶数 }.r)  
f6`W(OiE  
% The Second Step：Caculate induced variable F!zGk(Pu  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); 'c#AGi9  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); vY);7  
for i=1:(num_Core) &EJ/Rl
 
a_Core(i)=(angles_Core(i)*pi/180); P#-p*4  
k1(i)=cot(a_Core(i)); .\mkgAlyaM  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); bwe)_<c  
end J6gn
!  
k1(num_Core)=999;k2(num_Core)=0; _71&".A  
for i=1:num_TIR Mw|lEctN0  
a_TIR(i)=(angles_TIR(i)*pi/180); JQ9+kZ  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); j9f[){m`  
k4(i)=tan(asin(cos(a_TIR(i))/n)); g5lK&-yu]  
end ?D['>Rzu  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); hq?F81  
{=6CL'_  
% The Third Step:Solve functions FZtT2Z4&i  
for i=1:num_Core                    %Solve the curve of Core @`XbM7D 5  
syms x; fE1VTGfd:  
f1=k1(i)*x; tY%T  
f2=k2(i)*(x-X0_Core)+Y0_Core; p<c1$O*  
f=f1-f2; ;jh.\a_\  
x=double(solve(f));y=k1(i)*x; G6pR?K+  
X0_Core=x;Y0_Core=y; ufo\p=pGG  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; \d-9Ndp nf  
end %J+k.UrM  
for i=1:num_TIR                      %Solve the curve of TIR j+[
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syms x; py$i{v
%  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; &"DD&87N%  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); Mo]a
B:a  
f=f1-f2; @./@"mR<  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; "rHPcp"m  
X0_TIR=x;Y0_TIR=y; q@i.4>x  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; u3\_![Jt?  
end \ESNfL5  
zqxN/H]z  
% The furth Step:Fitting the curve 0Ok[`r`  
P_Core=polyfit(Px_Core,Py_Core,4); aB{OXU}#  
P_TIR=polyfit(Px_TIR,Py_TIR,4); N`O0jH{  
Kh{_Bd
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% The fifth Step:Feedback chief dimensions of the lens and Create it Y8for'  
%Feedback dimensions of the whole lens qRXHaQi@9  
result='透镜尺寸如下：' K0\`0E
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Diameter_of_lens=2*Px_TIR(num_TIR) |8fdhqy_  
Thickness_of_lens=Py_TIR(num_TIR)+d 6kO+E5;X  
Diameter_of_Core=2*r DTl&V|h$  
Thickness_of_front_pannel=d Rp !Rzl<  
Bottom_thickness=R-r 1w#vy1m J  
Lowest_Core=P_Core(5) et<@3wyd]  
,{d=<j_  
%Feedback dimensions of Lens part TIR !}q@O-}j  
result='TIR系数如下：' 7-mo\jw<  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d rBZ00}  
Aperture=Px_TIR(num_TIR) 0yxwsBLy  
Obstruction=r q#`;G,rs  
Position=P_TIR(5) dTqL[?wH?  
format short e; Si68_]:^  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] e?WI=Og  
format short; y1#QP3'Z1  
R)Dh;XA  
%DDE Connection |;R-q8  
TP_COMMAND = ddeinit('TracePro','Scheme'); *_"lXcG.  
%Create TIR 7e /Kh)5G  
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)))']; 0OBwe6*  
ddeexec(TP_COMMAND,cmd); lM.k*`$  
cmd =['(entity:move TIR 0 0 -2.3712)']; a>S
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ddeexec(TP_COMMAND,cmd); %:y
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cmd =['(property:apply-name TIR "TIR")']; OT#foP  
ddeexec(TP_COMMAND,cmd); |sBL(9  
).jna`A,  
%Feedback dimensions of Lens part TIR 5"w%  
result='Core系数如下：' n"<'F4r  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d #-/_J?  
Aperture=r aZCxyoh+  
Obstruction='None' yppXecFJ  
Position=P_Core(5) >Sm#-4B-  
format short e; $it>*%  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] #!4`t]E<  
format short; x5,|kJ9S  
%Create Core wV'_{/WM  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))'];
F8B:P7I  
ddeexec(TP_COMMAND,cmd); ~
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cmd =['(entity:move Core 0 0 5.9493)']; u43-\=1$T  
ddeexec(TP_COMMAND,cmd); !%QbE[Kl>  
cmd =['(property:apply-name Core "Core")'];
U!T#'H5'-  
ddeexec(TP_COMMAND,cmd); 9\i^.2&  
-;$jo-  
%Create Lens q[+V6n`Z5  
cmd =['(define Unite (bool:unite TIR Core))']; cd$,,  
ddeexec(TP_COMMAND,cmd); S.^x)5/,,T  
cmd =['(define block (insert:block 100 100 100))']; [}y"rs`!  
ddeexec(TP_COMMAND,cmd); 8\[q
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cmd =['(entity:move block 0 0 -50)']; Rr>""  
ddeexec(TP_COMMAND,cmd); 3A
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cmd =['(define Lens (bool:subtract Unite block))']; j4h?"  
ddeexec(TP_COMMAND,cmd); cX5tx]  
cmd =['(property:apply-name Lens "Lens")']; r`C t/]c  
ddeexec(TP_COMMAND,cmd); #e6x_o|  
rH[Eh8j,  
%Close the DDE connection E9j(%kQ2  
ddeterm(TP_COMMAND); LsNJ3oy  

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