[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： ~
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% By Ruibin 08-9-25 /&$"}Z6z  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. .vN%UNu  
t0e{|du  
clear all;clc ],\sRQbv&  
lC=N:=Mu  
% The Frist Step: Define independent parameters cXS;z.M\_  
r=3.25;               %选择开孔半径 Y
 .  
R=4.25;               %定义曲面底部半径 2"leUur~rO  
d=1;                  %设置透镜前方平板高度 O xT}I  
n=1.4935;             %定义材料折射率 ;h9-}F  
dividing_angle=24;    %定义Core与TIR的分界角 | "Jx  
min_angle=1;          %设置计算精度 aGB0-;.t7  
N=4;                  %设定拟合非球面系数阶数 3J'73)y  
"($Lx  
% The Second Step：Caculate induced variable N^h|h  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); wfB
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num_Core=length(angles_Core);num_TIR=length(angles_TIR); [J)/Et  
for i=1:(num_Core) d&[iEU  
a_Core(i)=(angles_Core(i)*pi/180); .!yWF?T8  
k1(i)=cot(a_Core(i)); e^k!vk-SLF  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); {gFAvMj#  
end x0\e<x9s  
k1(num_Core)=999;k2(num_Core)=0; Z}8k[*.  
for i=1:num_TIR EqD^/(,L2  
a_TIR(i)=(angles_TIR(i)*pi/180); /!=U+X  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); ]?0{(\  
k4(i)=tan(asin(cos(a_TIR(i))/n)); e9CP802#2  
end .P)s4rQ\  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Z+Ye
g  
nnt8 sf@\  
% The Third Step:Solve functions fav5e'[$  
for i=1:num_Core                    %Solve the curve of Core SU%mmwES3  
syms x; 6OL41g'  
f1=k1(i)*x; -7>^ rR V  
f2=k2(i)*(x-X0_Core)+Y0_Core; I&L.;~  
f=f1-f2; |',M_ e]  
x=double(solve(f));y=k1(i)*x; K;oV"KRK  
X0_Core=x;Y0_Core=y; HLjvKE=W  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; x3Nkp4=Xd  
end ;>NP.pnA
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for i=1:num_TIR                      %Solve the curve of TIR ,~
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syms x; tT;8r8@  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; SQ}S4r  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); oW0gU?Rr)u  
f=f1-f2; pw@`}cM=  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; [6AHaOhR'  
X0_TIR=x;Y0_TIR=y; r5o
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Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; bb|}'
 
end JC=dYP}  
bqSMDK  
% The furth Step:Fitting the curve -i#J[>=w{C  
P_Core=polyfit(Px_Core,Py_Core,4); hZcmP"wgC1  
P_TIR=polyfit(Px_TIR,Py_TIR,4); jcE Msc  
vR7ctav  
% The fifth Step:Feedback chief dimensions of the lens and Create it SOVjEo4'3  
%Feedback dimensions of the whole lens ~gP7s_qr{  
result='透镜尺寸如下：' "tqnx?pM  
Diameter_of_lens=2*Px_TIR(num_TIR) ~?gzq~~t  
Thickness_of_lens=Py_TIR(num_TIR)+d E W`W~h[  
Diameter_of_Core=2*r '
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Thickness_of_front_pannel=d P{?;T5ap6  
Bottom_thickness=R-r (~h7rAEc  
Lowest_Core=P_Core(5) ^f9>l;Lb  
5J  ySFG3  
%Feedback dimensions of Lens part TIR wHf&R3fg  
result='TIR系数如下：' )1WMlG  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d ;_}~%-_ ~  
Aperture=Px_TIR(num_TIR) ~p:?QB>1]  
Obstruction=r <PX.l%  
Position=P_TIR(5) $]C=qM28-  
format short e; !x>,N%~  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] $!f!,fw+  
format short; xk& NAB  
1Pm4.C)  
%DDE Connection FH.f- ZU  
TP_COMMAND = ddeinit('TracePro','Scheme'); I_ONbJ9]  
%Create TIR ]% K' fXj$  
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)))']; _Hc%4I  
ddeexec(TP_COMMAND,cmd); Qlw>+y-i  
cmd =['(entity:move TIR 0 0 -2.3712)']; >z(wf>2J  
ddeexec(TP_COMMAND,cmd); K4:  $=  
cmd =['(property:apply-name TIR "TIR")']; ,]ga[
 
ddeexec(TP_COMMAND,cmd); K*1.'9/  
[@//#}5v  
%Feedback dimensions of Lens part TIR *r;xw  
result='Core系数如下：' 1RLym9JN  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d |jsb@  
Aperture=r jXixVNw  
Obstruction='None' vwmBUix  
Position=P_Core(5) {=67XrWN1  
format short e; \Wr,<Y  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] J/vK6cO\  
format short; /&r|ec5  
%Create Core 1fH<VgF`  
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)))']; V,Q4n%h1.  
ddeexec(TP_COMMAND,cmd); d`mD!)j  
cmd =['(entity:move Core 0 0 5.9493)']; $#e
1SS32  
ddeexec(TP_COMMAND,cmd); -U>y  
cmd =['(property:apply-name Core "Core")']; -}P7$|O&  
ddeexec(TP_COMMAND,cmd); (,B#t7ka  
!J3UqS  
%Create Lens
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cmd =['(define Unite (bool:unite TIR Core))']; :S -";.:"  
ddeexec(TP_COMMAND,cmd); FQk!d$BG  
cmd =['(define block (insert:block 100 100 100))'];
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ddeexec(TP_COMMAND,cmd); ~W-cGb3c  
cmd =['(entity:move block 0 0 -50)']; zU&L.+   
ddeexec(TP_COMMAND,cmd); "u492^  
cmd =['(define Lens (bool:subtract Unite block))']; lq>AGw  
ddeexec(TP_COMMAND,cmd); -R b{^/  
cmd =['(property:apply-name Lens "Lens")']; U\zD,<I9  
ddeexec(TP_COMMAND,cmd); ]A^4}CK^<  
F'FP0t!S
 
%Close the DDE connection po7>IQS]  
ddeterm(TP_COMMAND); lyv4fP  

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