[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： 5t5S{aCDr  
% By Ruibin 08-9-25 vhquHy.qi#  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ?D^,K`wY=B  
[sY1|eX  
clear all;clc =*>4Gh i  
7%"\DLA  
% The Frist Step: Define independent parameters +D-+}&oW  
r=3.25;               %选择开孔半径 xdBZ^Q  
R=4.25;               %定义曲面底部半径 [?f.0q  
d=1;                  %设置透镜前方平板高度 D15u1A  
n=1.4935;             %定义材料折射率 -x%`Wv@L  
dividing_angle=24;    %定义Core与TIR的分界角 d_7Xlp@  
min_angle=1;          %设置计算精度 ,ZP3F+XKb  
N=4;                  %设定拟合非球面系数阶数 GqD!W8+  
5iI3u 7Mn1  
% The Second Step：Caculate induced variable ):\{n8~  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); _kY[8e5  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 674oL,  
for i=1:(num_Core) s$\8)V52  
a_Core(i)=(angles_Core(i)*pi/180); UV8r&O  
k1(i)=cot(a_Core(i)); A"3&EuvU  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); .s*EV!SE  
end >=W#z  
k1(num_Core)=999;k2(num_Core)=0; S{)n0/_  
for i=1:num_TIR NUnc"@  
a_TIR(i)=(angles_TIR(i)*pi/180); z&vms   
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); *u4X<oBS*  
k4(i)=tan(asin(cos(a_TIR(i))/n)); <C96]}/ ?  
end i7FR78^  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); ].f,3itg&  
t-x"(  
% The Third Step:Solve functions +2f
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for i=1:num_Core                    %Solve the curve of Core @]"9EW 0  
syms x; =ObtD"  
f1=k1(i)*x; w~KBk)!*  
f2=k2(i)*(x-X0_Core)+Y0_Core;
42LXL*-4  
f=f1-f2; )W6-h  
x=double(solve(f));y=k1(i)*x; @N_H]6z4  
X0_Core=x;Y0_Core=y; Nu2]~W&  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 6F&]Mk]V8  
end |Ge/|;.v`  
for i=1:num_TIR                      %Solve the curve of TIR c@#zjJhW]  
syms x; -Fc#  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; "XsY~  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); t\bxd`,  
f=f1-f2; s]8J+8 <uO  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; rJQ|Oi&1i  
X0_TIR=x;Y0_TIR=y; ]9< 9F ?  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 2&K|~~  
end <H@!Xw;  
{ro!OuA  
% The furth Step:Fitting the curve ts\>_/  
P_Core=polyfit(Px_Core,Py_Core,4); L?C~ qS2g  
P_TIR=polyfit(Px_TIR,Py_TIR,4); AG\852`1m  
-&D6w9w  
% The fifth Step:Feedback chief dimensions of the lens and Create it St&HE:  
%Feedback dimensions of the whole lens 0@x$Cp  
result='透镜尺寸如下：' SVWSO  
Diameter_of_lens=2*Px_TIR(num_TIR) 9.#R?YP$  
Thickness_of_lens=Py_TIR(num_TIR)+d >
37}JUG  
Diameter_of_Core=2*r lbU+a$  
Thickness_of_front_pannel=d JU \J   
Bottom_thickness=R-r ZV4' |q  
Lowest_Core=P_Core(5) (ai-n,y  
]sP9!hup  
%Feedback dimensions of Lens part TIR u,SZ-2K!7~  
result='TIR系数如下：' OSi9J.]O  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d HF[%/Tu  
Aperture=Px_TIR(num_TIR) Or)c*.|\  
Obstruction=r ,
vw`YKg  
Position=P_TIR(5) PxD}j 2Kd  
format short e; 1g
ej$G@  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] X&oy.Roo  
format short; |8{iIvi/  
M]TVaN$v#  
%DDE Connection PlRs-%d  
TP_COMMAND = ddeinit('TracePro','Scheme'); [\n.[4gq"  
%Create TIR .+o>  
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)))']; f8jz49C  
ddeexec(TP_COMMAND,cmd); 6-}e-H  
cmd =['(entity:move TIR 0 0 -2.3712)']; J$*["y`+  
ddeexec(TP_COMMAND,cmd); 2MzFSmhc"  
cmd =['(property:apply-name TIR "TIR")']; :!15>ML;-  
ddeexec(TP_COMMAND,cmd); %)ov,p|  
vm}.gQ  
%Feedback dimensions of Lens part TIR '^3pF2lIw  
result='Core系数如下：' Jd6Q9~z#  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ^F9zS`Yz2  
Aperture=r v+o3r]Y6  
Obstruction='None' BW=6gZ_  
Position=P_Core(5) b+apNph  
format short e; &YP>"<  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] l<_mag/j9o  
format short; _?LI0iIFx  
%Create Core u`,R0=<
4  
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)))']; 3zF7V:XH  
ddeexec(TP_COMMAND,cmd); Qh%vh;|^  
cmd =['(entity:move Core 0 0 5.9493)']; >.~k?_Of  
ddeexec(TP_COMMAND,cmd); xi=uXxl  
cmd =['(property:apply-name Core "Core")']; ,?~,"IQyi[  
ddeexec(TP_COMMAND,cmd); 8Kkr1}!wd  
D ,^ U%<`  
%Create Lens pvxqeC9`  
cmd =['(define Unite (bool:unite TIR Core))']; urjp&L&  
ddeexec(TP_COMMAND,cmd); *.Hnt\4|  
cmd =['(define block (insert:block 100 100 100))']; 58U[r)/  
ddeexec(TP_COMMAND,cmd); 8k'em/M~  
cmd =['(entity:move block 0 0 -50)']; qqred>K  
ddeexec(TP_COMMAND,cmd); "z4E|s  
cmd =['(define Lens (bool:subtract Unite block))']; Q[tz)99~  
ddeexec(TP_COMMAND,cmd); W\Y 4%y}  
cmd =['(property:apply-name Lens "Lens")']; b?L43t,  
ddeexec(TP_COMMAND,cmd); X]%4QIeS  
Gfch|Q^INy  
%Close the DDE connection 7
O :Gi*MA  
ddeterm(TP_COMMAND); Y%8QFM  

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