[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： qT #=C'?  
% By Ruibin 08-9-25 <P ?gP1_zi  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. NS""][#  
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clear all;clc p:$kX9mT&  
8z7eL>)  
% The Frist Step: Define independent parameters )E7wBNV  
r=3.25;               %选择开孔半径 t9*e"QH  
R=4.25;               %定义曲面底部半径 Q9h=1G\K  
d=1;                  %设置透镜前方平板高度 E(_k#X  
n=1.4935;             %定义材料折射率 W1Fhx`  
dividing_angle=24;    %定义Core与TIR的分界角 <HTz  
min_angle=1;          %设置计算精度 -{J0~1'#-  
N=4;                  %设定拟合非球面系数阶数 BFP@Yn~k  
 )*6  
% The Second Step：Caculate induced variable R >SZE"  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); R.l
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num_Core=length(angles_Core);num_TIR=length(angles_TIR); AZ^
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for i=1:(num_Core) 6/Yo0D>M$  
a_Core(i)=(angles_Core(i)*pi/180); #O,w{S  
k1(i)=cot(a_Core(i)); JY"J}  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); _3N,oCRm  
end OC-d5P  
k1(num_Core)=999;k2(num_Core)=0; QmGK! H>3  
for i=1:num_TIR WBJn1  
a_TIR(i)=(angles_TIR(i)*pi/180); {~R?f$}""j  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); d2US~.;>l  
k4(i)=tan(asin(cos(a_TIR(i))/n)); $FIJI^Kd7  
end \L$]2"/v-  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); [+CFQf>  
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% The Third Step:Solve functions L0H^S)g  
for i=1:num_Core                    %Solve the curve of Core 7bE`P[  
syms x; 8'zfq ]g  
f1=k1(i)*x; s!yD%zO  
f2=k2(i)*(x-X0_Core)+Y0_Core; Er8F_,M+  
f=f1-f2; Q>;Aq!mr=  
x=double(solve(f));y=k1(i)*x; a #s Nd  
X0_Core=x;Y0_Core=y; C~K/yLCAi  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; Yt:%)&50}-  
end sAs`O@  
for i=1:num_TIR                      %Solve the curve of TIR 53pfo:1'  
syms x; X}h}3+V  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; v;g,qO!LJ  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); qC& xuu|  
f=f1-f2; 3m21n7F4*  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; q3-cWfU  
X0_TIR=x;Y0_TIR=y; +!`$(  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; p
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end P@n rcgM.  
@n9iOf~<  
% The furth Step:Fitting the curve +]yVSns 3  
P_Core=polyfit(Px_Core,Py_Core,4); v$q\3#5|'  
P_TIR=polyfit(Px_TIR,Py_TIR,4); L"?4}U:  
tBwPB#:W  
% The fifth Step:Feedback chief dimensions of the lens and Create it )PkGT~3I  
%Feedback dimensions of the whole lens 8Jp?@qt=$  
result='透镜尺寸如下：' H.l WHM+H4  
Diameter_of_lens=2*Px_TIR(num_TIR) [!} uj`e  
Thickness_of_lens=Py_TIR(num_TIR)+d " ;8kKR  
Diameter_of_Core=2*r FcOrA3tt  
Thickness_of_front_pannel=d 673G6Nk  
Bottom_thickness=R-r
{S%;By&[  
Lowest_Core=P_Core(5) /z)8k4  
u`-
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%Feedback dimensions of Lens part TIR n4"xVDL  
result='TIR系数如下：' )^)|b5,  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d ,s@S`KS0  
Aperture=Px_TIR(num_TIR) *_Pkb
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Obstruction=r Nii5},  
Position=P_TIR(5) eR3MU]zF  
format short e; H66~!J0;a  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] jt9@aN.mJN  
format short; [f$pq5f='  
"68=dC  
%DDE Connection 1'k,P;s  
TP_COMMAND = ddeinit('TracePro','Scheme'); (t,|FkVLV  
%Create TIR S|IDFDn  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; 1gYvp9Ma  
ddeexec(TP_COMMAND,cmd); L>57eF)7  
cmd =['(entity:move TIR 0 0 -2.3712)']; V0F1X s`  
ddeexec(TP_COMMAND,cmd); Z$)jPDSr  
cmd =['(property:apply-name TIR "TIR")']; g%4=T~  
ddeexec(TP_COMMAND,cmd); gvP.\,U  
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%Feedback dimensions of Lens part TIR k.H4Mf(4  
result='Core系数如下：' HNfd[#gV  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d %8|?YxiZ:  
Aperture=r l~*d0E-$  
Obstruction='None' uv7tbI"r  
Position=P_Core(5) y#lg)nB  
format short e; cn_*,\}  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] ~~WX#Od*$  
format short; 7{f{SIB  
%Create Core GIUyW  
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)))']; ]jP0Z#  
ddeexec(TP_COMMAND,cmd); @=l.J+lh  
cmd =['(entity:move Core 0 0 5.9493)']; 6wy
h
L-{:  
ddeexec(TP_COMMAND,cmd); E0Kt4%b  
cmd =['(property:apply-name Core "Core")']; k,[[ CZ0j  
ddeexec(TP_COMMAND,cmd); ? ~_h3bHH  
T@N)BfkB  
%Create Lens Yp9%u9tNq  
cmd =['(define Unite (bool:unite TIR Core))']; @'?7au ''  
ddeexec(TP_COMMAND,cmd); DEKO]i  
cmd =['(define block (insert:block 100 100 100))']; xEe3,tb'e  
ddeexec(TP_COMMAND,cmd); "I[uD)$  
cmd =['(entity:move block 0 0 -50)']; yrrP#F  
ddeexec(TP_COMMAND,cmd); 0 9*?'^s4  
cmd =['(define Lens (bool:subtract Unite block))']; t$U eks  
ddeexec(TP_COMMAND,cmd); x[YW 3nF  
cmd =['(property:apply-name Lens "Lens")']; Dt+uf5o(  
ddeexec(TP_COMMAND,cmd); KWT[b?  
D4QLlP  
%Close the DDE connection YR68'Sft[  
ddeterm(TP_COMMAND); 'Z^KpW  

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