[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： Qne@Vf kA  
% By Ruibin 08-9-25 i=nd][1n  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. X8"4)IZ3  
Y'mtMLfMc  
clear all;clc >-0Rq[)  
cY0NQKUk~  
% The Frist Step: Define independent parameters f;x0Ho5C2  
r=3.25;               %选择开孔半径 GO2mccIB  
R=4.25;               %定义曲面底部半径 58V`I5_  
d=1;                  %设置透镜前方平板高度 Kejp7okb  
n=1.4935;             %定义材料折射率 ))66_bech  
dividing_angle=24;    %定义Core与TIR的分界角 whxTCI
V  
min_angle=1;          %设置计算精度 ]{s0/(EA  
N=4;                  %设定拟合非球面系数阶数 =;ClOy9  
j 4!$[h  
% The Second Step：Caculate induced variable Y 3h`uLQ  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); u0zF::  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); ;G.5.q[A  
for i=1:(num_Core) ^CO{86V  
a_Core(i)=(angles_Core(i)*pi/180); ,)@njC?J  
k1(i)=cot(a_Core(i)); w;W# 'pE  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); N?`V;`[  
end VddHK  
k1(num_Core)=999;k2(num_Core)=0; JlR$"GU  
for i=1:num_TIR %D1 |0v8}  
a_TIR(i)=(angles_TIR(i)*pi/180); Bs)'Gk`1  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); <-;/,uu  
k4(i)=tan(asin(cos(a_TIR(i))/n)); eu={6/O
 
end 2. '` mGu  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); )Fon;/p  
sPX&XqWx  
% The Third Step:Solve functions *,& 2?E8  
for i=1:num_Core                    %Solve the curve of Core z36wWdRa6  
syms x; j 5}'*  
f1=k1(i)*x; t.y-b`v  
f2=k2(i)*(x-X0_Core)+Y0_Core; v;soJlxF~  
f=f1-f2; ,2YZB*6h{  
x=double(solve(f));y=k1(i)*x; @,Z0u2WLl6  
X0_Core=x;Y0_Core=y; I+=+ ,iXhB  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; &^2SdF  
end y+3+iT@i  
for i=1:num_TIR                      %Solve the curve of TIR &S,_Z/BS;  
syms x; *4/FN TC  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; m<H{@ZgN(  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); TZ *>MySiF  
f=f1-f2; G/*;h,NbNr  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; pHT]2e#  
X0_TIR=x;Y0_TIR=y; sSd/\Ap  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; Z1#u&oX  
end CYRZ2Yrk?"  
_j+!Fd  
% The furth Step:Fitting the curve !O,Sq/=.  
P_Core=polyfit(Px_Core,Py_Core,4); K!]a+M]>  
P_TIR=polyfit(Px_TIR,Py_TIR,4); _f'v>"K  
> vdmN]  
% The fifth Step:Feedback chief dimensions of the lens and Create it }R`Rqg-W  
%Feedback dimensions of the whole lens wBcoh~ (y  
result='透镜尺寸如下：' W1 k]P.  
Diameter_of_lens=2*Px_TIR(num_TIR) 0:f]&Ng  
Thickness_of_lens=Py_TIR(num_TIR)+d N_IKH)  
Diameter_of_Core=2*r  D|)a7_  
Thickness_of_front_pannel=d =:aJZ[UU<2  
Bottom_thickness=R-r (`S^6-^  
Lowest_Core=P_Core(5) k,[*h-{8  
jUEgu  
%Feedback dimensions of Lens part TIR H
1I^Vij  
result='TIR系数如下：' h%:rJ_#Zl  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d W#S82  
Aperture=Px_TIR(num_TIR) GlnO8cAB  
Obstruction=r 3V<@Vkf5  
Position=P_TIR(5) Nai5!_'  
format short e; d{"-iw)t  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] =A.$~9P  
format short; q pC
I[[  
;eN ^'/4A  
%DDE Connection %8,$ILN  
TP_COMMAND = ddeinit('TracePro','Scheme'); Xx"<^FS[zC  
%Create TIR ;%9]G|*{  
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)))']; z$e6T&u5B  
ddeexec(TP_COMMAND,cmd); s{-gsSmE  
cmd =['(entity:move TIR 0 0 -2.3712)']; fC[za,PXaE  
ddeexec(TP_COMMAND,cmd); b~J)LXj]w  
cmd =['(property:apply-name TIR "TIR")']; 
{uj_4Ft  
ddeexec(TP_COMMAND,cmd); l
j (y  
G 5;6q  
%Feedback dimensions of Lens part TIR >> zd  
result='Core系数如下：' ` y\)X C7  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d hq)1YO  
Aperture=r fbNzRXw  
Obstruction='None' e
XW|{asx  
Position=P_Core(5) v1TFzcHl<  
format short e; Y !?'[t  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] aYWWln  
format short; ^U}k   
%Create Core
WwDM^}e  
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)))']; 5&ku]l+  
ddeexec(TP_COMMAND,cmd); 1z?}'&:  
cmd =['(entity:move Core 0 0 5.9493)']; iQ;p59wSzL  
ddeexec(TP_COMMAND,cmd); +!/ATR%Uci  
cmd =['(property:apply-name Core "Core")']; >Icr4?zq  
ddeexec(TP_COMMAND,cmd); i"WYcF|  
/ad9Q~nJ  
%Create Lens x4oWZEd  
cmd =['(define Unite (bool:unite TIR Core))']; u^1#9bAW8  
ddeexec(TP_COMMAND,cmd); }yz>(Pq  
cmd =['(define block (insert:block 100 100 100))']; aQCu3T  
ddeexec(TP_COMMAND,cmd); JE=t e(a  
cmd =['(entity:move block 0 0 -50)']; Z0F~?  
ddeexec(TP_COMMAND,cmd); qN $t_  
cmd =['(define Lens (bool:subtract Unite block))']; an"&'D}U  
ddeexec(TP_COMMAND,cmd); *m~-8_ >;  
cmd =['(property:apply-name Lens "Lens")']; S#7YJ7 K"N  
ddeexec(TP_COMMAND,cmd); 'X^auyL  
5*AXL.2ih  
%Close the DDE connection YmziHns`b  
ddeterm(TP_COMMAND); 5(3O/C{?~  

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