[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： :nh_k4S@v  
% By Ruibin 08-9-25 wu7Lk3  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. Pnk5mK$  
(iBNZ7sJ  
clear all;clc BHIRHmM<Y  
%oF
}HF.  
% The Frist Step: Define independent parameters @GPCwE1  
r=3.25;               %选择开孔半径 spGb!Y`mR  
R=4.25;               %定义曲面底部半径 ?L5zC+c!  
d=1;                  %设置透镜前方平板高度 )YYf1o[+  
n=1.4935;             %定义材料折射率 tnV/xk#!  
dividing_angle=24;    %定义Core与TIR的分界角 e{h<g>7  
min_angle=1;          %设置计算精度 y_
'Ub{w  
N=4;                  %设定拟合非球面系数阶数 7yG#Z)VE  
8{|8G-Mi  
% The Second Step：Caculate induced variable "$~':) V"  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); :I"2V  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); ZEXc%-M  
for i=1:(num_Core) G|[=/>~B  
a_Core(i)=(angles_Core(i)*pi/180); \(3y7D  
k1(i)=cot(a_Core(i)); xN>npP   
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); Htay-PB }  
end e2L0VXbb  
k1(num_Core)=999;k2(num_Core)=0; #=D) j  
for i=1:num_TIR wc0jhHZO ?  
a_TIR(i)=(angles_TIR(i)*pi/180); u9:`4b  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); teOe#*  
k4(i)=tan(asin(cos(a_TIR(i))/n)); <m!h&_eg
 
end -<c=US  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); @D)al^]x6  
8J*"%C$qe  
% The Third Step:Solve functions Qwz}B  
for i=1:num_Core                    %Solve the curve of Core Bt[/0>i  
syms x; _f
tI*ni:<  
f1=k1(i)*x; ^aIPN5CK  
f2=k2(i)*(x-X0_Core)+Y0_Core; 9TU88]  
f=f1-f2; n?oW< &  
x=double(solve(f));y=k1(i)*x; 1da@3xaF  
X0_Core=x;Y0_Core=y; MV!{j;g1<  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ylUrLQ\  
end t$+?6E  
for i=1:num_TIR                      %Solve the curve of TIR w _u\pa  
syms x; l+3[ KCE  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Q0$8j-1I  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); :fKl]XO  
f=f1-f2; V @rI`~$  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 6T>mW#E&  
X0_TIR=x;Y0_TIR=y; A_n7w  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; r~[Ia!U?  
end HPpR.  
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% The furth Step:Fitting the curve ~)*,S^k(C.  
P_Core=polyfit(Px_Core,Py_Core,4); Pl(Q,e7O]  
P_TIR=polyfit(Px_TIR,Py_TIR,4); SD#]$v  
^m L@e'r  
% The fifth Step:Feedback chief dimensions of the lens and Create it r}Ohkr  
%Feedback dimensions of the whole lens MU>k,:[  
result='透镜尺寸如下：' bf0+DvIB  
Diameter_of_lens=2*Px_TIR(num_TIR) K7$x<5+)  
Thickness_of_lens=Py_TIR(num_TIR)+d J`^ag'  
Diameter_of_Core=2*r :WC2Ax7$2  
Thickness_of_front_pannel=d )js)2L~  
Bottom_thickness=R-r 8][nm
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Lowest_Core=P_Core(5) 3E7ULK  
Ytgcs( /$  
%Feedback dimensions of Lens part TIR kSC}aN'  
result='TIR系数如下：' 
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Thickness=Py_TIR(num_TIR)-P_TIR(5)+d eeIhed9  
Aperture=Px_TIR(num_TIR) .ELGWF`>  
Obstruction=r dL:-Y.?0M  
Position=P_TIR(5) rMXN[,|v  
format short e; KgV3j]d  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 2*rH?dz8E  
format short; PEc,l>u9  
Qg^cf<X{i  
%DDE Connection k-Q%.o  
TP_COMMAND = ddeinit('TracePro','Scheme'); QFfK0X8cC  
%Create TIR KuWWUjCE  
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)))']; 4f@o m
AM  
ddeexec(TP_COMMAND,cmd); r$5i Wu  
cmd =['(entity:move TIR 0 0 -2.3712)']; Y_}mYvJW  
ddeexec(TP_COMMAND,cmd); f6|KN+.  
cmd =['(property:apply-name TIR "TIR")']; |]QqXE-7  
ddeexec(TP_COMMAND,cmd); d#6`&
MR  
FE" y\2}  
%Feedback dimensions of Lens part TIR X7[^s $VK  
result='Core系数如下：' "~E[)^ANxD  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d S2n39 3  
Aperture=r .id)VF-l  
Obstruction='None' ;V^ 112|C  
Position=P_Core(5) ~SQ?BoCI[  
format short e; Ny_lrfh)[  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] {zQS$VhXr  
format short; 'iy*^A `Y  
%Create Core Z -,J)gW  
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)))'];
M@h|bN  
ddeexec(TP_COMMAND,cmd); 5'0xz.)!  
cmd =['(entity:move Core 0 0 5.9493)']; YRv&1!VLE  
ddeexec(TP_COMMAND,cmd); TqNadHQ  
cmd =['(property:apply-name Core "Core")']; &P.4(1sC  
ddeexec(TP_COMMAND,cmd); W-Fu-Cz=  
Wf>zDW^"R  
%Create Lens >*@y8u*  
cmd =['(define Unite (bool:unite TIR Core))']; )v]/B+  
ddeexec(TP_COMMAND,cmd); 6Ztq  
cmd =['(define block (insert:block 100 100 100))']; ,\X@~j  
ddeexec(TP_COMMAND,cmd); ub7zA!%  
cmd =['(entity:move block 0 0 -50)']; >:zK?(qu,N  
ddeexec(TP_COMMAND,cmd); *"WDb|PBb  
cmd =['(define Lens (bool:subtract Unite block))']; H(2!1?N+  
ddeexec(TP_COMMAND,cmd); tBNoI  
cmd =['(property:apply-name Lens "Lens")']; 1J6,]M  
ddeexec(TP_COMMAND,cmd); xO1[>W  
T_X6Ulp  
%Close the DDE connection iZPCNS"  
ddeterm(TP_COMMAND); R-NS,i={
 

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