[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： ]2@lyG#<<  
% By Ruibin 08-9-25 ,WoV)L'?  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. T/hz23nH  
D7jbo[GgS  
clear all;clc kD((1v*D$  
%qVD-Jln  
% The Frist Step: Define independent parameters nLrCy5R:  
r=3.25;               %选择开孔半径 ?+{_x^  
R=4.25;               %定义曲面底部半径 f&Juq8s_0  
d=1;                  %设置透镜前方平板高度 25W #mh,'  
n=1.4935;             %定义材料折射率 A9GSeW<  
dividing_angle=24;    %定义Core与TIR的分界角 7WNUHLEt  
min_angle=1;          %设置计算精度 DTdqwe6pi  
N=4;                  %设定拟合非球面系数阶数 <e@4;Z(h04  
I%z,s{9p  
% The Second Step：Caculate induced variable Z:,`hW*A6  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); g/w<T+v  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 4i"fHVp8  
for i=1:(num_Core) g-/ }*ml  
a_Core(i)=(angles_Core(i)*pi/180); _.m|Ml,`{  
k1(i)=cot(a_Core(i)); x-q_sZ^8  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); Juk'eH2^s  
end |2jA4C2L}  
k1(num_Core)=999;k2(num_Core)=0; ?MSV3uODb  
for i=1:num_TIR Nr*o RYY  
a_TIR(i)=(angles_TIR(i)*pi/180); 0R-W9qP  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); rWN%j)#+  
k4(i)=tan(asin(cos(a_TIR(i))/n)); h5v=h>c  
end "_+8z_  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); E$v!Z;A  
{!1Rl
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% The Third Step:Solve functions >YcaFnY  
for i=1:num_Core                    %Solve the curve of Core m:9|5W  
syms x; xd+aO=)Td  
f1=k1(i)*x; Xhpcu1nA  
f2=k2(i)*(x-X0_Core)+Y0_Core; AU8sU?=  
f=f1-f2; c+##!_[9  
x=double(solve(f));y=k1(i)*x; wF*9%K'E  
X0_Core=x;Y0_Core=y; UhU"[^YO  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; |Rm_8n%m  
end {_Fh3gjb/  
for i=1:num_TIR                      %Solve the curve of TIR o"p['m*g  
syms x; py wc~dWvz  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 1q|iw  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); J(9{P/  
f=f1-f2;
/1xBZfrN  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; {}H/N  
X0_TIR=x;Y0_TIR=y; $qR@;=  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; Q$Sp'  
end CSBDSz  
8\+DSA  
% The furth Step:Fitting the curve {r#uD5NJ/  
P_Core=polyfit(Px_Core,Py_Core,4); JOwu_%  
P_TIR=polyfit(Px_TIR,Py_TIR,4); BxaGBK<k  
UsdMCJ&G  
% The fifth Step:Feedback chief dimensions of the lens and Create it *bzqH2h8  
%Feedback dimensions of the whole lens 8zho\
'  
result='透镜尺寸如下：' ~1nKL0C6u  
Diameter_of_lens=2*Px_TIR(num_TIR) nZEew.T:6  
Thickness_of_lens=Py_TIR(num_TIR)+d @qB>qD~WsD  
Diameter_of_Core=2*r D"IxQ2}k  
Thickness_of_front_pannel=d uF[~YJ>  
Bottom_thickness=R-r ffsF], _J  
Lowest_Core=P_Core(5) '#jZ`  
fk\]wFj  
%Feedback dimensions of Lens part TIR mA^3?yj  
result='TIR系数如下：' I]WvcDJ}C  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d UQbk%K2  
Aperture=Px_TIR(num_TIR) G\~?.s|^  
Obstruction=r 6lUC$B Y  
Position=P_TIR(5) p!\GJ a",  
format short e; .Y^pDR12  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ; FHnu|  
format short; ;(Az   
Ydyz-  
%DDE Connection \$gA2r  
TP_COMMAND = ddeinit('TracePro','Scheme'); ~Q}!4LH  
%Create TIR ]&tcocq  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; CV2#G*  
ddeexec(TP_COMMAND,cmd); Ve<f}  
cmd =['(entity:move TIR 0 0 -2.3712)']; Q(4~r+  
ddeexec(TP_COMMAND,cmd); JkKbw&65  
cmd =['(property:apply-name TIR "TIR")']; gLK0L%"5  
ddeexec(TP_COMMAND,cmd); ^~dC&!D  
VHvL:z  
%Feedback dimensions of Lens part TIR xE!b)@>S  
result='Core系数如下：' '-3K`[  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d B;2#Sa.  
Aperture=r m[BpV.s  
Obstruction='None' Q% ^_<u  
Position=P_Core(5) FU;a {irB  
format short e; 'lOQb)  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] nQ{~D5y,,  
format short; TV`sqKW  
%Create Core  ^mN`!+  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; KEf1GU6s  
ddeexec(TP_COMMAND,cmd); N0N%~3  
cmd =['(entity:move Core 0 0 5.9493)']; qx*N-,M%k(  
ddeexec(TP_COMMAND,cmd); 9WV8ZP  
cmd =['(property:apply-name Core "Core")']; hf;S#.k  
ddeexec(TP_COMMAND,cmd); ({D>(xN  
A=70
UL  
%Create Lens ,$RXN8x1  
cmd =['(define Unite (bool:unite TIR Core))']; (0rcLNk{|  
ddeexec(TP_COMMAND,cmd); x6
^FpNgQ  
cmd =['(define block (insert:block 100 100 100))']; ?a'EkZ.dB  
ddeexec(TP_COMMAND,cmd); :)h4SD8Y  
cmd =['(entity:move block 0 0 -50)']; PF+Or  
ddeexec(TP_COMMAND,cmd); 6o*'Q8h  
cmd =['(define Lens (bool:subtract Unite block))']; 'ITZz n*  
ddeexec(TP_COMMAND,cmd); .')^4\  
cmd =['(property:apply-name Lens "Lens")']; fA=Lb^,M  
ddeexec(TP_COMMAND,cmd); `
'gcF});  
qOa*JA`  
%Close the DDE connection vFeR)Ox's  
ddeterm(TP_COMMAND); 9E|
QPT  

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