[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： i#7DR>XF/  
% By Ruibin 08-9-25 <!L>Exh&r  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ^w(p8G_-w  
?bPRxR  
clear all;clc hD\rtW  
MJ7Y#<u  
% The Frist Step: Define independent parameters WEFlV4/  
r=3.25;               %选择开孔半径 _=+V/=  
R=4.25;               %定义曲面底部半径 -0?~  
d=1;                  %设置透镜前方平板高度 Kpb#K[(]&  
n=1.4935;             %定义材料折射率 4?0vso*X<:  
dividing_angle=24;    %定义Core与TIR的分界角 kz{/(t  
min_angle=1;          %设置计算精度 g
$( V^  
N=4;                  %设定拟合非球面系数阶数 0%,!jW{`  
i\1TOP|h  
% The Second Step：Caculate induced variable ~}F{vm  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); umD!
2 w  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); M9EfU  
for i=1:(num_Core) ;} und*q  
a_Core(i)=(angles_Core(i)*pi/180); ki[UV zd  
k1(i)=cot(a_Core(i)); < XP9@t&  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); m6n?bEl6I  
end xB_!>SqF1U  
k1(num_Core)=999;k2(num_Core)=0; UQ'\7OS  
for i=1:num_TIR +lJG(Qd  
a_TIR(i)=(angles_TIR(i)*pi/180); }Mo=PWI1?  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); f-}[_Y%;  
k4(i)=tan(asin(cos(a_TIR(i))/n)); -cZDGt  
end QF{4/y^j{  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); f&}k^>N#3  
KiI!frm1  
% The Third Step:Solve functions /b]oa!  
for i=1:num_Core                    %Solve the curve of Core k:JrHBKv\  
syms x; A6GE,FhsG  
f1=k1(i)*x; hZh9uI7.  
f2=k2(i)*(x-X0_Core)+Y0_Core; mu?Eco`~  
f=f1-f2; fNb`X  
x=double(solve(f));y=k1(i)*x; R16'?,  
X0_Core=x;Y0_Core=y; hc~s"Atck  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; CF+_/s#j^  
end 0dhF&*h|L  
for i=1:num_TIR                      %Solve the curve of TIR i-bJS6  
syms x; %FXfqF9  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; T_sTC)&a  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); .jS~By|r  
f=f1-f2; V2$h
8\a  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; @7n/Q(  
X0_TIR=x;Y0_TIR=y; f` :i.Sr  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; ]04e1F1J  
end H2Z1TIh  
_{R=B8Zz\  
% The furth Step:Fitting the curve _cy2z  
P_Core=polyfit(Px_Core,Py_Core,4); AFc$
%\s4  
P_TIR=polyfit(Px_TIR,Py_TIR,4); ZZcE
t  
_Dym{!t  
% The fifth Step:Feedback chief dimensions of the lens and Create it 0GB:GBhZ  
%Feedback dimensions of the whole lens Xv<B1  
result='透镜尺寸如下：' @?=|Y  
Diameter_of_lens=2*Px_TIR(num_TIR) ]4h92\\965  
Thickness_of_lens=Py_TIR(num_TIR)+d b7
!Qn}  
Diameter_of_Core=2*r ]Tkc-ez  
Thickness_of_front_pannel=d *NkA8PC  
Bottom_thickness=R-r nA P.^_K  
Lowest_Core=P_Core(5) Lg~B'd8m  
f8M$45A'  
%Feedback dimensions of Lens part TIR +<xQM h8  
result='TIR系数如下：' vFE;D@bz:  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d ?_"+^R z  
Aperture=Px_TIR(num_TIR) bx]N>k J  
Obstruction=r S:TgFt0  
Position=P_TIR(5) 'd+NVj{C  
format short e; VYt!U
  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ?CC"Yij  
format short; kGdt1N[  
WcHgBbNe  
%DDE Connection cgl*t+o&  
TP_COMMAND = ddeinit('TracePro','Scheme'); A81ls#is
  
%Create TIR (q{Ck#+  
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)))']; Bn61AFy`  
ddeexec(TP_COMMAND,cmd); e=4+$d  
cmd =['(entity:move TIR 0 0 -2.3712)']; 7<%<Ff@^)O  
ddeexec(TP_COMMAND,cmd); |tv"B@`  
cmd =['(property:apply-name TIR "TIR")']; R,9[hNHWGs  
ddeexec(TP_COMMAND,cmd);
fO0(Z  
F)s{PCl  
%Feedback dimensions of Lens part TIR D8>
enum  
result='Core系数如下：' Z^]|o<.<I  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d $aN-Y?U%  
Aperture=r zX0mdx<|<  
Obstruction='None' 4'-|UPhx  
Position=P_Core(5) K'X2dG*  
format short e; (FJ9-K0b{n  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] iCW*]U  
format short; %^1cyk  
%Create Core ?t+5s]  
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)))']; ow0!%|fO  
ddeexec(TP_COMMAND,cmd); bYi`R)  
cmd =['(entity:move Core 0 0 5.9493)']; +)j
1
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ddeexec(TP_COMMAND,cmd); u0#}9UKQ  
cmd =['(property:apply-name Core "Core")']; :WSDf VX  
ddeexec(TP_COMMAND,cmd); 3GuH857ov  
=JKv:</.G  
%Create Lens !-N6l6N  
cmd =['(define Unite (bool:unite TIR Core))']; ]J:1P`k.  
ddeexec(TP_COMMAND,cmd); Ma8_:7`>O  
cmd =['(define block (insert:block 100 100 100))']; ?Y:8eD"*  
ddeexec(TP_COMMAND,cmd); J|X 6j&-  
cmd =['(entity:move block 0 0 -50)']; ynw5-aS3  
ddeexec(TP_COMMAND,cmd); lY{FSGp  
cmd =['(define Lens (bool:subtract Unite block))']; G
7)Fk%>  
ddeexec(TP_COMMAND,cmd); 'Hi: 2Wh  
cmd =['(property:apply-name Lens "Lens")']; GrTulN?  
ddeexec(TP_COMMAND,cmd); =egW  
Nnk@h  
%Close the DDE connection 9*E7}b,  
ddeterm(TP_COMMAND); +V{7")px6  

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