[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： `Aw^H!  
% By Ruibin 08-9-25 -:|?h{q?u  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. s5CXwM6cx  
L^}_~PO N5  
clear all;clc AK'[c+2[  
j(m.$:  
% The Frist Step: Define independent parameters (gP)%  
r=3.25;               %选择开孔半径
;j[>9g  
R=4.25;               %定义曲面底部半径 ,\_1w  
d=1;                  %设置透镜前方平板高度 iiT"5`KY  
n=1.4935;             %定义材料折射率 ,{M^-3C  
dividing_angle=24;    %定义Core与TIR的分界角 W42iu"@  
min_angle=1;          %设置计算精度 zHA!%>%'  
N=4;                  %设定拟合非球面系数阶数 \-h%O jf4  
8(pp2rlR  
% The Second Step：Caculate induced variable d,+Hd2o^X  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); vdAr|4^qB  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); ''yB5#^w(  
for i=1:(num_Core) "I3@m%qv  
a_Core(i)=(angles_Core(i)*pi/180); >V-A;S:  
k1(i)=cot(a_Core(i)); ;_c;0)  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); b$
N2z  
end X{5vXT\/y  
k1(num_Core)=999;k2(num_Core)=0; Bt@^+vH ~  
for i=1:num_TIR wPQH(~k:  
a_TIR(i)=(angles_TIR(i)*pi/180); .+PI}[g  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 6 Q%jA7  
k4(i)=tan(asin(cos(a_TIR(i))/n)); e7^mmm  
end Q-_N2W?  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); QoI3>Oj=  
[w0QZyUn  
% The Third Step:Solve functions '))0Lh l  
for i=1:num_Core                    %Solve the curve of Core Q_"]+i]s@  
syms x; a=J^  
f1=k1(i)*x; |:nn>E}ZA/  
f2=k2(i)*(x-X0_Core)+Y0_Core; smlpD3?va  
f=f1-f2; "|EM;o  
x=double(solve(f));y=k1(i)*x; :ci5r;^  
X0_Core=x;Y0_Core=y; x-$&g*<  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; KI)M JG:t  
end %RTBV9LIXr  
for i=1:num_TIR                      %Solve the curve of TIR T-
.%  
syms x; YmL06<Mh  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Oxm>c[R  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 9]k @Q_  
f=f1-f2; w mn+  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; CSJdvxb  
X0_TIR=x;Y0_TIR=y; fT;s-v[`k  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; umjt]Gu[  
end 2GP=&K/A  
gqZ'$7So  
% The furth Step:Fitting the curve qraSRK5  
P_Core=polyfit(Px_Core,Py_Core,4); nr95YSH  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 9Vg?{v!yn  
,vr? 2k  
% The fifth Step:Feedback chief dimensions of the lens and Create it \HqNAE2T  
%Feedback dimensions of the whole lens WA5&# kg\  
result='透镜尺寸如下：' h{CL{>d  
Diameter_of_lens=2*Px_TIR(num_TIR) HHA<IZ#;,  
Thickness_of_lens=Py_TIR(num_TIR)+d o)h_H;  
Diameter_of_Core=2*r h?AS{`.1  
Thickness_of_front_pannel=d hpHr\g  
Bottom_thickness=R-r ?qP7Y nl  
Lowest_Core=P_Core(5) Yrb{ByO&  
%aHB"vi6  
%Feedback dimensions of Lens part TIR $:8x(&+/@  
result='TIR系数如下：' \z>f
b%YW  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d (uXL^oja  
Aperture=Px_TIR(num_TIR) YJ^] u}  
Obstruction=r gR&Q3jlIV  
Position=P_TIR(5) _tiujP  
format short e; L9r8BK;  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] G/k2Pe{SL  
format short; lG9bLiFY  
P0SQr?W  
%DDE Connection |nc@"OJ  
TP_COMMAND = ddeinit('TracePro','Scheme'); ERUz3mjA/  
%Create TIR c?tBi9'Y]  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; Ok|*!
!T  
ddeexec(TP_COMMAND,cmd); (]Z_UTT  
cmd =['(entity:move TIR 0 0 -2.3712)']; ~FZ&.<s  
ddeexec(TP_COMMAND,cmd); lAS#874dE  
cmd =['(property:apply-name TIR "TIR")']; \RNNg  
ddeexec(TP_COMMAND,cmd); A}BVep@D  
_Us#\+]_:  
%Feedback dimensions of Lens part TIR rxe>}ZO  
result='Core系数如下：' O[\iE5+$  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d aAZZ8V  
Aperture=r x/NfZ5e0X  
Obstruction='None' srr :!5  
Position=P_Core(5) Cw iKi^m  
format short e; _64A(U  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] -Y1e8H ='  
format short; |EIng0a  
%Create Core Sj-n;F|=X  
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)))']; j:^#rFD4?  
ddeexec(TP_COMMAND,cmd); s28`OKC}  
cmd =['(entity:move Core 0 0 5.9493)']; pf2[,v/  
ddeexec(TP_COMMAND,cmd); 3]OE}[R  
cmd =['(property:apply-name Core "Core")']; Bgn
&:T8<  
ddeexec(TP_COMMAND,cmd); &x=.$76  
v6[!o<@"a  
%Create Lens .sx
cCrQE  
cmd =['(define Unite (bool:unite TIR Core))']; uX"H4lO~  
ddeexec(TP_COMMAND,cmd); g9m-TkNk  
cmd =['(define block (insert:block 100 100 100))']; 1[mXd  
ddeexec(TP_COMMAND,cmd); XQ
rF4l  
cmd =['(entity:move block 0 0 -50)']; QMA%$  
ddeexec(TP_COMMAND,cmd); S$f9m  
cmd =['(define Lens (bool:subtract Unite block))']; #Z}Rfk(~  
ddeexec(TP_COMMAND,cmd); w~.f  
cmd =['(property:apply-name Lens "Lens")']; <>n0arAn  
ddeexec(TP_COMMAND,cmd); 9 3U_tQ&1?  
<vnHz?71c  
%Close the DDE connection GSY(  
ddeterm(TP_COMMAND); Kh"?%ZIa  

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