[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： [,EpN{l  
% By Ruibin 08-9-25 )"(]Lf's  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. {yAL+}  
Xy,lA4IP  
clear all;clc y
fQ5:X  
5 *}R$  
% The Frist Step: Define independent parameters ha@L94Lq  
r=3.25;               %选择开孔半径 ^{$FI`P  
R=4.25;               %定义曲面底部半径 Tl]e%A`|  
d=1;                  %设置透镜前方平板高度 Ok5<TZ6t4k  
n=1.4935;             %定义材料折射率 a?} .Fs  
dividing_angle=24;    %定义Core与TIR的分界角 }UJv[  
min_angle=1;          %设置计算精度 p?[Tm*r  
N=4;                  %设定拟合非球面系数阶数 k-V,~c  
l5%G'1w#,j  
% The Second Step：Caculate induced variable j| Wv7  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); s..lK "b  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 1sE?YJP-  
for i=1:(num_Core) U/ V  
a_Core(i)=(angles_Core(i)*pi/180);  %R#L  
k1(i)=cot(a_Core(i)); NqHy%'R  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 5wB =>  
end *,C(\!b !?  
k1(num_Core)=999;k2(num_Core)=0; JTqDr  
for i=1:num_TIR 7qOa ;^T  
a_TIR(i)=(angles_TIR(i)*pi/180); #&<)! YY5  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); +h^jC9,m~{  
k4(i)=tan(asin(cos(a_TIR(i))/n)); vr#+0:|  
end e+v({^
k  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); q/3ziVd7p  
I&?Qq k  
% The Third Step:Solve functions <99M@ cF  
for i=1:num_Core                    %Solve the curve of Core j.~!dh$mg  
syms x; 6K cD&S/  
f1=k1(i)*x; jdKOb  
f2=k2(i)*(x-X0_Core)+Y0_Core; `.x$7!zLC  
f=f1-f2; {^CT}\=>  
x=double(solve(f));y=k1(i)*x; ^ &E}r{?  
X0_Core=x;Y0_Core=y; Y3kA?p0  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; <9ig?{'  
end YzosZ! L!<  
for i=1:num_TIR                      %Solve the curve of TIR rn DCqv!'P  
syms x; ?oZR.D|SZ  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; V^y^ ;0I}[  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); I`[i;U{CK  
f=f1-f2; 5tJ,7
Y'  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; jA".r'D%  
X0_TIR=x;Y0_TIR=y; pY4}>ju(g  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; KKA~#iCk  
end &1%q"\VI  
qQ\Y/}F  
% The furth Step:Fitting the curve 6s,uXn  
P_Core=polyfit(Px_Core,Py_Core,4); a{!QOX%K  
P_TIR=polyfit(Px_TIR,Py_TIR,4); jVLA CWH  
AV 8n(  
% The fifth Step:Feedback chief dimensions of the lens and Create it tg^sCxz9]  
%Feedback dimensions of the whole lens _X~87  
result='透镜尺寸如下：' T0)4v-EO  
Diameter_of_lens=2*Px_TIR(num_TIR) fQrhsuCrC  
Thickness_of_lens=Py_TIR(num_TIR)+d 'c\iK
=fl  
Diameter_of_Core=2*r YV=QF J'  
Thickness_of_front_pannel=d pEECHk  
Bottom_thickness=R-r Cs2;z:O]  
Lowest_Core=P_Core(5) Z*G(5SqUh"  
L 
lqM c  
%Feedback dimensions of Lens part TIR 6y%0`!  
result='TIR系数如下：' \~P=U;l=pO  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d hF2IW{=!  
Aperture=Px_TIR(num_TIR) p=/m  
Obstruction=r A+@&"  
Position=P_TIR(5) "Ci
Ta>x  
format short e; m*e{\)rd#  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] TW !&p"Us+  
format short; >-&R47G  
kd"N29  
%DDE Connection "3FihE]k  
TP_COMMAND = ddeinit('TracePro','Scheme'); ^ 9!
!;)  
%Create TIR 0"~i^  
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)))']; L(GjZAP  
ddeexec(TP_COMMAND,cmd); a>\vUv*  
cmd =['(entity:move TIR 0 0 -2.3712)']; \uss Uv  
ddeexec(TP_COMMAND,cmd); %s19KGpA  
cmd =['(property:apply-name TIR "TIR")']; Z{?G.L*/  
ddeexec(TP_COMMAND,cmd); q7u'_R,;  
SkU9ON  
%Feedback dimensions of Lens part TIR :qC'$dO!
 
result='Core系数如下：' |bgo;J/  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d 8Lw B B  
Aperture=r {Ay"bjZh  
Obstruction='None' "RIZV  
Position=P_Core(5) phO;c;
y}  
format short e; tHLrhH<w  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] YBh'EL}P  
format short; V|\7')Qq  
%Create Core O|_h_I-2  
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)))']; HSq}7S&U  
ddeexec(TP_COMMAND,cmd); r(gXoq_w  
cmd =['(entity:move Core 0 0 5.9493)']; .F+@B\A<  
ddeexec(TP_COMMAND,cmd);  TX  
cmd =['(property:apply-name Core "Core")']; ]qhPd_$?D'  
ddeexec(TP_COMMAND,cmd); I-OJVZ( V  
;#Q%j%J  
%Create Lens LR"9D
 
cmd =['(define Unite (bool:unite TIR Core))']; ws4cF N9P?  
ddeexec(TP_COMMAND,cmd); arf8xqR-U]  
cmd =['(define block (insert:block 100 100 100))']; eYx Kp!f  
ddeexec(TP_COMMAND,cmd); [$[:"N_  
cmd =['(entity:move block 0 0 -50)']; +{
/  
ddeexec(TP_COMMAND,cmd); 7g_]mG[6  
cmd =['(define Lens (bool:subtract Unite block))']; I!^O)4QRx  
ddeexec(TP_COMMAND,cmd); HV<Lf 6gE  
cmd =['(property:apply-name Lens "Lens")']; o6$4/I  
ddeexec(TP_COMMAND,cmd); Y`?-VaY  
J=/5}u_gw  
%Close the DDE connection )=Jk@yj8x  
ddeterm(TP_COMMAND); v0L\0&+  

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