[求助]matlab画准直透镜曲线？ [复制链接]

謝謝大大的分享

算出来也就自然画出来了啊

谢谢哈~

看一下

下来看看

学习一下

看看吧

看看e:matlab画准直透镜曲线？

程序如下： KRJLxNr  
% By Ruibin 08-9-25 $./bjV%  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. {{C`mgC  
>=iy2~Fz,  
clear all;clc K;7f?52  
^$%Z!uz  
% The Frist Step: Define independent parameters I8OD$`~*U6  
r=3.25;               %选择开孔半径 xf%4, JQ  
R=4.25;               %定义曲面底部半径 ( 6(x'ByT  
d=1;                  %设置透镜前方平板高度 xoB},Xl$D  
n=1.4935;             %定义材料折射率 #S%Q*k<hw  
dividing_angle=24;    %定义Core与TIR的分界角 Y-ux7F{=z  
min_angle=1;          %设置计算精度 E&yD8=vw  
N=4;                  %设定拟合非球面系数阶数 >pkT1Z&'  
BQ^H? jo  
% The Second Step：Caculate induced variable Khh0*S8.K  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); nS()u}c;r  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); yBLK$@9  
for i=1:(num_Core) kF7(f|*  
a_Core(i)=(angles_Core(i)*pi/180); @?C#r.vgp  
k1(i)=cot(a_Core(i)); s08u @  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ~}Z\:#U  
end ,n!vsIN  
k1(num_Core)=999;k2(num_Core)=0; 1GEK:g2B  
for i=1:num_TIR !h&g7do]Z  
a_TIR(i)=(angles_TIR(i)*pi/180); 3cj3u4y  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); $ _8g8r}  
k4(i)=tan(asin(cos(a_TIR(i))/n)); B*!W
rB:s  
end 5=(c%  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); RkFD*E$  
P7B:%HiAx  
% The Third Step:Solve functions @1zQce
>  
for i=1:num_Core                    %Solve the curve of Core 2?@j~I=s2h  
syms x; }U@m*dEG  
f1=k1(i)*x; 9>/wUQs!]  
f2=k2(i)*(x-X0_Core)+Y0_Core; 1Xy]D  
f=f1-f2; sqx`">R  
x=double(solve(f));y=k1(i)*x; 2?Ye*-  
X0_Core=x;Y0_Core=y; '2hbJk  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 3CTX -#)vS  
end 0"pVT%b  
for i=1:num_TIR                      %Solve the curve of TIR EoX_KG{  
syms x; Dc~,D1xWj  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; nZR!*$}A  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 5)1+~B  
f=f1-f2; 3#wcKv%>&_  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; DOm[*1@^  
X0_TIR=x;Y0_TIR=y; _eLWQ|6Fx  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; fJjgq)9  
end o/[  
8GJdRL(  
% The furth Step:Fitting the curve Do?P<x o  
P_Core=polyfit(Px_Core,Py_Core,4); KsAH]2Q%  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 33:DH}
  
t?;T3k[RM  
% The fifth Step:Feedback chief dimensions of the lens and Create it 31Cq22"  
%Feedback dimensions of the whole lens QGiAW7b5  
result='透镜尺寸如下：' &R+#W  
Diameter_of_lens=2*Px_TIR(num_TIR) '#\D]5  
Thickness_of_lens=Py_TIR(num_TIR)+d hwnx<f '  
Diameter_of_Core=2*r JM0I(%Z%  
Thickness_of_front_pannel=d (yQ 5`  
Bottom_thickness=R-r :

ZdUx  
Lowest_Core=P_Core(5) ~E4"}n[3A#  
T+"f]v  
%Feedback dimensions of Lens part TIR b|^I<7  
result='TIR系数如下：' ~7quTp)  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d E]^5I3=O  
Aperture=Px_TIR(num_TIR) ~Y5l+EF#  
Obstruction=r pw>m.=9|y  
Position=P_TIR(5) BpAB5=M0  
format short e; S_J :&9L  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] z?8~[h{i%  
format short; uMXc0fs!$  
&!7+Yb(1  
%DDE Connection eN0P9.eqM  
TP_COMMAND = ddeinit('TracePro','Scheme'); Mjpo1dw  
%Create TIR OKuD"   
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)))']; U`R;P-  
ddeexec(TP_COMMAND,cmd); ~M?|Vn  
cmd =['(entity:move TIR 0 0 -2.3712)']; g=]&A  
ddeexec(TP_COMMAND,cmd); 4h 5_M8I  
cmd =['(property:apply-name TIR "TIR")']; M\/XP| 7  
ddeexec(TP_COMMAND,cmd); D>ai.T%n  
~JZ3a0$^  
%Feedback dimensions of Lens part TIR P1 +"v*  
result='Core系数如下：' 7r{qJ7$%  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d 6=|
&tE  
Aperture=r H;_yRUY9  
Obstruction='None' GA^mgm"O  
Position=P_Core(5) 34C``i  
format short e; H^c0Kh+  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 4yV].2#rl"  
format short; (;o*eFC F  
%Create Core gqiXmMm:9  
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)))']; $7gB_o$zz  
ddeexec(TP_COMMAND,cmd); 3VCqp13
 
cmd =['(entity:move Core 0 0 5.9493)']; Q49BU@xX  
ddeexec(TP_COMMAND,cmd); 9$WJ"]  
cmd =['(property:apply-name Core "Core")']; Vk<k+=7  
ddeexec(TP_COMMAND,cmd); u?Hb(xZtg=  
%&] 1Fh
L  
%Create Lens M$#sc`4*  
cmd =['(define Unite (bool:unite TIR Core))']; ki\uTD`mf  
ddeexec(TP_COMMAND,cmd); G\Hq/4  
cmd =['(define block (insert:block 100 100 100))']; 4!%]fg}Um  
ddeexec(TP_COMMAND,cmd); &{^eU5  
cmd =['(entity:move block 0 0 -50)']; 6TFo|z!C  
ddeexec(TP_COMMAND,cmd); z4Oo@3$\R  
cmd =['(define Lens (bool:subtract Unite block))']; hYt7kq!"  
ddeexec(TP_COMMAND,cmd); N_'+B+U?  
cmd =['(property:apply-name Lens "Lens")']; f'/ KMe%<  
ddeexec(TP_COMMAND,cmd); eqzTQen8q  
X\2_;zwf  
%Close the DDE connection }OKL z.5  
ddeterm(TP_COMMAND); k&Jo"[i&WO  

学习学习