[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： 7da~+(yhr  
% By Ruibin 08-9-25 6;p"xC-  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. wOrpp3I  
t[%ELHV  
clear all;clc ]tc Cr;  
,N@N4<C]  
% The Frist Step: Define independent parameters <-N7Skkk!  
r=3.25;               %选择开孔半径 sp&g  
R=4.25;               %定义曲面底部半径 V u1|5  
d=1;                  %设置透镜前方平板高度 4S*7*ak{  
n=1.4935;             %定义材料折射率 h45RwQ5Z  
dividing_angle=24;    %定义Core与TIR的分界角 Dt Ry%fA_  
min_angle=1;          %设置计算精度 \5R>+[n!  
N=4;                  %设定拟合非球面系数阶数 %)PQomn?  
DP=\FG"}x  
% The Second Step：Caculate induced variable L]QBh\  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); 7&*d]#&~j  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); w_9[y  
for i=1:(num_Core) u!9bhL`  
a_Core(i)=(angles_Core(i)*pi/180); vlx\hJ<I  
k1(i)=cot(a_Core(i)); N7}yU~j^  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); mcLxX'c6<h  
end }(v <f*7=n  
k1(num_Core)=999;k2(num_Core)=0; >|_B=<!99W  
for i=1:num_TIR &8@ a"  
a_TIR(i)=(angles_TIR(i)*pi/180); .MI 5?]_  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 8e}8@[h  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 5gbD|^ij  
end A\T9>z^k  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); zJT,Hv .  
}W$}blbp  
% The Third Step:Solve functions sT+\ z  
for i=1:num_Core                    %Solve the curve of Core y>
|AX/n  
syms x; 15wwu} X  
f1=k1(i)*x; VQHQvFRZ)  
f2=k2(i)*(x-X0_Core)+Y0_Core; ?PDrj/: *  
f=f1-f2; +8|r_z\A5a  
x=double(solve(f));y=k1(i)*x; g%2twq_  
X0_Core=x;Y0_Core=y; AW
/)R"+  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; Mp)|5<%  
end F>c
o#  
for i=1:num_TIR                      %Solve the curve of TIR }I ^e:,{  
syms x; -KU@0G  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; {pM3f  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); Cswa5l`af  
f=f1-f2; IXt cHAgX  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; R4Si{J*O  
X0_TIR=x;Y0_TIR=y; ^9xsbv B0  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 4{J'p19  
end .}DL%E`n  
v m)
'CC  
% The furth Step:Fitting the curve <]kifiN#  
P_Core=polyfit(Px_Core,Py_Core,4); eKek~U&  
P_TIR=polyfit(Px_TIR,Py_TIR,4); $,#,yl ol  
J&jig?t  
% The fifth Step:Feedback chief dimensions of the lens and Create it B)L;ja  
%Feedback dimensions of the whole lens >W?7a:#,  
result='透镜尺寸如下：' 2Ik@L,  
Diameter_of_lens=2*Px_TIR(num_TIR) ljRR{HOl  
Thickness_of_lens=Py_TIR(num_TIR)+d N6*v!M+  
Diameter_of_Core=2*r Mq2[^l!qu  
Thickness_of_front_pannel=d nO7#m~  
Bottom_thickness=R-r wO3K2I]>0  
Lowest_Core=P_Core(5) }t9A#GOz  
fE&wtw{gi  
%Feedback dimensions of Lens part TIR 6N]V.;0_5  
result='TIR系数如下：' _
=68iDXm  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d 
7{:g|dX  
Aperture=Px_TIR(num_TIR) ,Jh('r7  
Obstruction=r 6mbHfL>cO  
Position=P_TIR(5) x8wal[6  
format short e; S
K_i 3?  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 7]6HXR@  
format short; b1`(f"&l  
hg=BXe4:  
%DDE Connection {
ei,>5K  
TP_COMMAND = ddeinit('TracePro','Scheme'); #3o]Qo[Sc  
%Create TIR *,=WaODO%  
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)))']; 2e @zd\  
ddeexec(TP_COMMAND,cmd); %xWscA%^u  
cmd =['(entity:move TIR 0 0 -2.3712)']; %*wOJx  
ddeexec(TP_COMMAND,cmd); zO07X*Bw  
cmd =['(property:apply-name TIR "TIR")']; IfGQeynj  
ddeexec(TP_COMMAND,cmd); W9ewj:4\0  
niIjatT  
%Feedback dimensions of Lens part TIR Z/@%MEU[zl  
result='Core系数如下：' Cq,hzi-  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d N}2xt)JZz  
Aperture=r r`T(xJ!)  
Obstruction='None' LYY|8)Nj2"  
Position=P_Core(5) Q9 *N/2+  
format short e; h7H#sL[^  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] K?o}B  
format short; Aa;s.:?  
%Create Core H21\6 GY  
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)))']; fC4D#  
ddeexec(TP_COMMAND,cmd); `y!6(xI  
cmd =['(entity:move Core 0 0 5.9493)']; Oy!j`  
ddeexec(TP_COMMAND,cmd); ?>p<!:E!r  
cmd =['(property:apply-name Core "Core")']; tT;=l[7%  
ddeexec(TP_COMMAND,cmd); Q`]El<$  
G;%Pf9o26  
%Create Lens i-EFq@xl  
cmd =['(define Unite (bool:unite TIR Core))']; |,ZmRW^2K  
ddeexec(TP_COMMAND,cmd); =*YK6  
cmd =['(define block (insert:block 100 100 100))']; 3 TN?yP)  
ddeexec(TP_COMMAND,cmd); `[;b#.  
cmd =['(entity:move block 0 0 -50)']; *L9s7RR  
ddeexec(TP_COMMAND,cmd); icf[.  
cmd =['(define Lens (bool:subtract Unite block))']; Eqg(U0k0  
ddeexec(TP_COMMAND,cmd); /WVnyz0  
cmd =['(property:apply-name Lens "Lens")']; [k9aY$baT^  
ddeexec(TP_COMMAND,cmd); 2>l:: 8Pp  
t_q`wKDE  
%Close the DDE connection Aghcjy|j  
ddeterm(TP_COMMAND); nuB@Fkr  

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