[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： #UC4l]Ru A  
% By Ruibin 08-9-25 q<}5KY  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. sp[nKo^  
\1RQ),5 %]  
clear all;clc .9WUp>  
1+o>#8D  
% The Frist Step: Define independent parameters Y[;Pl$  
r=3.25;               %选择开孔半径 `4Z#/g  
R=4.25;               %定义曲面底部半径 -,96Qg4vI  
d=1;                  %设置透镜前方平板高度 ?M7nbfy[A@  
n=1.4935;             %定义材料折射率 VVJhQbP  
dividing_angle=24;    %定义Core与TIR的分界角 ,u(g#T  
min_angle=1;          %设置计算精度 _3T*[s;H  
N=4;                  %设定拟合非球面系数阶数 +U^dllL7  
L5cNCWpo  
% The Second Step：Caculate induced variable \+v_6F  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); )xP]rOT  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); &P!^k0NJR  
for i=1:(num_Core) >}<:5gZtA  
a_Core(i)=(angles_Core(i)*pi/180); l~&efAJ-$  
k1(i)=cot(a_Core(i)); !cnH|ePbI  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); \XMl8G  
end YFLWkdqAY  
k1(num_Core)=999;k2(num_Core)=0; {Y'DUt5j  
for i=1:num_TIR
+F 6KGK[  
a_TIR(i)=(angles_TIR(i)*pi/180); 8&ZUkDGkJ  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); |82V`
CV  
k4(i)=tan(asin(cos(a_TIR(i))/n)); v{=-#9-4 &  
end I]Wb\&$  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); "SyyOD )WA  
VQ<Z`5eV  
% The Third Step:Solve functions "C=HBJdYB5  
for i=1:num_Core                    %Solve the curve of Core pWps-e  
syms x; c.&vWmLSGE  
f1=k1(i)*x; 8c__ U<  
f2=k2(i)*(x-X0_Core)+Y0_Core; u|
8`=  
f=f1-f2; ;'tsdsu}  
x=double(solve(f));y=k1(i)*x; I|9e4EX{y  
X0_Core=x;Y0_Core=y; C(iA G  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; pq
-zy6^  
end :!tQqy2
 
for i=1:num_TIR                      %Solve the curve of TIR RPaB4>  
syms x; N~M:+\  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ,)GCg@7B  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); FPFt3XL  
f=f1-f2; f*5=,$0  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; e@0wF59  
X0_TIR=x;Y0_TIR=y; [ Q=)
f  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; TmX~vZ  
end LC[
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D9H|]W~  
% The furth Step:Fitting the curve %F&j B
 
P_Core=polyfit(Px_Core,Py_Core,4); PU?kQZU~)  
P_TIR=polyfit(Px_TIR,Py_TIR,4); +-ieaF  
{Fb)Z"8]  
% The fifth Step:Feedback chief dimensions of the lens and Create it 51;(vf  
%Feedback dimensions of the whole lens 5/P?@`/eT  
result='透镜尺寸如下：' ~Zaxn~u:  
Diameter_of_lens=2*Px_TIR(num_TIR) ^5,ASU  
Thickness_of_lens=Py_TIR(num_TIR)+d "5dh]-m n  
Diameter_of_Core=2*r @[ :sP  
Thickness_of_front_pannel=d >454Yir0Mk  
Bottom_thickness=R-r Ju+@ROZ  
Lowest_Core=P_Core(5) e|MyA?`  
HSK^vd?_l  
%Feedback dimensions of Lens part TIR 8
%`Sx
[  
result='TIR系数如下：' >t*zY~R.  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d hH[JY(V  
Aperture=Px_TIR(num_TIR) gs'bv#4yd  
Obstruction=r Vaq=f/  
Position=P_TIR(5) 8 
(.<  
format short e; yuI5# VUS  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 8`u#tl(  
format short; 2N)Ywqvj  
X:62)^~'  
%DDE Connection qKO\;e*  
TP_COMMAND = ddeinit('TracePro','Scheme'); 5YC(gv3/  
%Create TIR 
9=< Z>  
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)))']; 1Kc*MS  
ddeexec(TP_COMMAND,cmd); I}k!i+Yl  
cmd =['(entity:move TIR 0 0 -2.3712)']; ]E=JUYf0  
ddeexec(TP_COMMAND,cmd); 2EK\QWo  
cmd =['(property:apply-name TIR "TIR")']; B0R[f  
ddeexec(TP_COMMAND,cmd); ;WGY)=-gv  
Z6h.gaQ7 H  
%Feedback dimensions of Lens part TIR &S|laqH  
result='Core系数如下：' |{oKhC^yG  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d lsio\ $  
Aperture=r ,#WXAAmm  
Obstruction='None' 8o{ SU6pH  
Position=P_Core(5) jH:*x$@ =  
format short e; cPS!%?}I  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] Y$Uvt_  
format short; v"$; aJ  
%Create Core PL8akA#  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; B:x4H}`vh  
ddeexec(TP_COMMAND,cmd); s#qq% @  
cmd =['(entity:move Core 0 0 5.9493)']; K}Z'!+<U  
ddeexec(TP_COMMAND,cmd); `L;I/Hp  
cmd =['(property:apply-name Core "Core")']; 4]dPhsey  
ddeexec(TP_COMMAND,cmd); 5/*ZqrJw{"  
<#R7sco'  
%Create Lens {H>iL  
cmd =['(define Unite (bool:unite TIR Core))']; {O^1WgGc[  
ddeexec(TP_COMMAND,cmd); ,2kWj7H%7  
cmd =['(define block (insert:block 100 100 100))']; sPZa|AKHb  
ddeexec(TP_COMMAND,cmd); ;G\rhk  
cmd =['(entity:move block 0 0 -50)']; 7rr5$,Mv  
ddeexec(TP_COMMAND,cmd); uox;PDK  
cmd =['(define Lens (bool:subtract Unite block))']; 7NXT.E~2  
ddeexec(TP_COMMAND,cmd);  UNhD  
cmd =['(property:apply-name Lens "Lens")']; -#Wc@\;  
ddeexec(TP_COMMAND,cmd); ;hZ(20  
+zw<iB)J  
%Close the DDE connection 4< H-ol  
ddeterm(TP_COMMAND); `\.n_nM  

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