[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： 4z%#ZIy3   
% By Ruibin 08-9-25  G].__]  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. F] ?@X  
_T|H69 J  
clear all;clc uk[< 6oxz  
8+ F}`lLA  
% The Frist Step: Define independent parameters |F@xwfgb  
r=3.25;               %选择开孔半径 H9VXsFTW  
R=4.25;               %定义曲面底部半径 Nv?-*&L
 
d=1;                  %设置透镜前方平板高度 .um&6Q=2<  
n=1.4935;             %定义材料折射率 @ Rx6 >52>  
dividing_angle=24;    %定义Core与TIR的分界角 ?Wg{oB@(  
min_angle=1;          %设置计算精度 HXfXb^~  
N=4;                  %设定拟合非球面系数阶数 n<<=sj$\!  
T<+ht8&M8  
% The Second Step：Caculate induced variable =Y/fF  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); [Z5[~gP3  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 0vuKGjK  
for i=1:(num_Core) 4s~HfxYT  
a_Core(i)=(angles_Core(i)*pi/180); QhXC>)PW  
k1(i)=cot(a_Core(i)); ^@`e  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); AwXt @!(  
end o9Txo (tYU  
k1(num_Core)=999;k2(num_Core)=0; /pN'K5@  
for i=1:num_TIR /X^3=-{8  
a_TIR(i)=(angles_TIR(i)*pi/180); n(1wdlEp  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); %U5P}  
k4(i)=tan(asin(cos(a_TIR(i))/n)); ?QMclzh*-  
end E {KS a  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); g+}s:9  
&{E`=4T2  
% The Third Step:Solve functions n{^<&GWox  
for i=1:num_Core                    %Solve the curve of Core |O(-CDQe  
syms x; O~h94 B`  
f1=k1(i)*x; Q^lQi\[  
f2=k2(i)*(x-X0_Core)+Y0_Core; %l:|2s:  
f=f1-f2; * {gxI<  
x=double(solve(f));y=k1(i)*x; PW*;Sp  
X0_Core=x;Y0_Core=y; NFY|^*bll  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; *5y W  
end HkdN=q  
for i=1:num_TIR                      %Solve the curve of TIR f2 ydL/M,  
syms x; "*w)puD  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; <mZrR3v'D  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ',sQ/#S  
f=f1-f2; t=Z&eKDC  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; >+:r'  
X0_TIR=x;Y0_TIR=y; }PI35i1!t  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; j|[(*i%7|  
end w%3Fg~Up  
Km)X_}|  
% The furth Step:Fitting the curve N7*CP|?E  
P_Core=polyfit(Px_Core,Py_Core,4); -9OMn}w/*  
P_TIR=polyfit(Px_TIR,Py_TIR,4); .!JMPf"QEI  
-`!_h[   
% The fifth Step:Feedback chief dimensions of the lens and Create it pbDw Lo]  
%Feedback dimensions of the whole lens -F"d0a,  
result='透镜尺寸如下：' |N:MZ#};  
Diameter_of_lens=2*Px_TIR(num_TIR) 0)d?Y  
Thickness_of_lens=Py_TIR(num_TIR)+d vWU%
ST  
Diameter_of_Core=2*r :1aL9 fT  
Thickness_of_front_pannel=d \6 \hnP  
Bottom_thickness=R-r H\^VqNK"
 
Lowest_Core=P_Core(5) 5v|H<wPp  
yS[z2:!  
%Feedback dimensions of Lens part TIR Q&xjF@I  
result='TIR系数如下：' G}VDEC  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d l-}KmZ]  
Aperture=Px_TIR(num_TIR) $2KK:{VX  
Obstruction=r :?=Q39O9  
Position=P_TIR(5) :&qhJtGo  
format short e; o)&"Rf  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] yHNuU)Ft  
format short; i5"5&r7r  
T~Ly^|Ihz  
%DDE Connection }_}KV
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TP_COMMAND = ddeinit('TracePro','Scheme'); i@5)`<?  
%Create TIR WULAty  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; XE1$K
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ddeexec(TP_COMMAND,cmd); 6YmP[%  
cmd =['(entity:move TIR 0 0 -2.3712)']; Z
IpD{>/  
ddeexec(TP_COMMAND,cmd); D`pQ7  
cmd =['(property:apply-name TIR "TIR")']; 2no$+4+z  
ddeexec(TP_COMMAND,cmd); "_< 9PM1t  
pY
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%Feedback dimensions of Lens part TIR qsI^oBD"  
result='Core系数如下：' l!?yu]Yon  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d *%!M4&  
Aperture=r BLn_u,3  
Obstruction='None' +;Cr];b3  
Position=P_Core(5) [Atc "X$  
format short e; @g-G =Ba  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 2-dh;[
4  
format short; rp's
 
%Create Core a460|
w6  
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)))']; ~_
>cM c  
ddeexec(TP_COMMAND,cmd); aD9q^EoEs  
cmd =['(entity:move Core 0 0 5.9493)']; ^m!_2_q  
ddeexec(TP_COMMAND,cmd); sw;|'N$:<  
cmd =['(property:apply-name Core "Core")']; q.Jsf+  
ddeexec(TP_COMMAND,cmd); #HAC*n  
Pbn!KX~F~  
%Create Lens 8 #}D :(  
cmd =['(define Unite (bool:unite TIR Core))']; G.\l qYrXU  
ddeexec(TP_COMMAND,cmd); bg
F^(T35  
cmd =['(define block (insert:block 100 100 100))']; +G*JrwJ&=  
ddeexec(TP_COMMAND,cmd); wL}l`fRB  
cmd =['(entity:move block 0 0 -50)']; h Dk)Qg  
ddeexec(TP_COMMAND,cmd); bsS:"/?>  
cmd =['(define Lens (bool:subtract Unite block))']; $,fy$ Qk,S  
ddeexec(TP_COMMAND,cmd); %m&@o~
+  
cmd =['(property:apply-name Lens "Lens")']; 5~H#(d<oZ  
ddeexec(TP_COMMAND,cmd); 65TfFcQ<S  
"6CMA0R  
%Close the DDE connection +f|BiW  
ddeterm(TP_COMMAND); Z=?aEU$7  

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