[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： m)oJFF  
% By Ruibin 08-9-25 7F'`CleU  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. Vx-7\NB  
Dl}$pN  
clear all;clc 0iJue&  
tor!Dl@Mo  
% The Frist Step: Define independent parameters %Rsp;1Z  
r=3.25;               %选择开孔半径 4f<$4d^md  
R=4.25;               %定义曲面底部半径 !^ _"~  
d=1;                  %设置透镜前方平板高度 YID4w7|  
n=1.4935;             %定义材料折射率 n93=8;&  
dividing_angle=24;    %定义Core与TIR的分界角 GAAm0;  
min_angle=1;          %设置计算精度 Si~vDQ7"  
N=4;                  %设定拟合非球面系数阶数 QPq7R  
AoyX\iqQ  
% The Second Step：Caculate induced variable vY_-Ranj#.  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); Lco&Fp  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); /soKucN"h  
for i=1:(num_Core) 2@ Z(P.Gh  
a_Core(i)=(angles_Core(i)*pi/180); e>AE8T  
k1(i)=cot(a_Core(i)); Sfr&p>{,  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ?^N3&ukkyo  
end 3g6j?yYqb  
k1(num_Core)=999;k2(num_Core)=0; L{c q, jk  
for i=1:num_TIR y\x+  
a_TIR(i)=(angles_TIR(i)*pi/180); c;'[W60  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); Q1z;/A$Al  
k4(i)=tan(asin(cos(a_TIR(i))/n)); %!1Q P[}K  
end m1*O0Tg]"  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); dc rSz4E|>  
KSrx[q  
% The Third Step:Solve functions |ely|U. Tf  
for i=1:num_Core                    %Solve the curve of Core l\n@cQR  
syms x; hh[jN7K  
f1=k1(i)*x; k]I0o)+O.  
f2=k2(i)*(x-X0_Core)+Y0_Core; wT{nu[=GH*  
f=f1-f2; ,tg0L$qC  
x=double(solve(f));y=k1(i)*x; 3Gip<\$v  
X0_Core=x;Y0_Core=y; 3=L.uXVb  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; p"U,G -_  
end "V}[':fen  
for i=1:num_TIR                      %Solve the curve of TIR h3;bxq!q  
syms x; 2j&AiD  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; J^g!++|2P  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 9tqF8pb7v  
f=f1-f2; _hk.2FV:3m  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; a.zpp'cEb  
X0_TIR=x;Y0_TIR=y; 5;{H&O9Q  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; $O5UyKI  
end ,zTy?OQ  
Zg.&V  
% The furth Step:Fitting the curve E^S
H\5B  
P_Core=polyfit(Px_Core,Py_Core,4); ^) s2$A:L  
P_TIR=polyfit(Px_TIR,Py_TIR,4); eET}r24  
GbaEgA'fa  
% The fifth Step:Feedback chief dimensions of the lens and Create it UMcgdJB  
%Feedback dimensions of the whole lens X'
"SVO.  
result='透镜尺寸如下：' # m *J&  
Diameter_of_lens=2*Px_TIR(num_TIR) yiA<,!;4P  
Thickness_of_lens=Py_TIR(num_TIR)+d @Rw!'T  
Diameter_of_Core=2*r ,YMp<C  
Thickness_of_front_pannel=d `9b7>Nn<  
Bottom_thickness=R-r P
->y_4O  
Lowest_Core=P_Core(5) ^R@j=_8}  
O7$hYk  
%Feedback dimensions of Lens part TIR E\4 +_L_j  
result='TIR系数如下：' UCClWr  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d  ({=gw9f  
Aperture=Px_TIR(num_TIR) '>rw(3  
Obstruction=r X.e7A/ClEo  
Position=P_TIR(5) {7/0< NG  
format short e; GHeVp/u  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] x HhN  
format short; <z!CDg4  
$+I;oHWI  
%DDE Connection \<)9?M
:  
TP_COMMAND = ddeinit('TracePro','Scheme'); PuZf/um  
%Create TIR ut I"\1hQ  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; JQ@E>o7_  
ddeexec(TP_COMMAND,cmd); _&b4aW9<  
cmd =['(entity:move TIR 0 0 -2.3712)']; 7fba-7-P  
ddeexec(TP_COMMAND,cmd); 9& 83n(m  
cmd =['(property:apply-name TIR "TIR")']; jYhB +|  
ddeexec(TP_COMMAND,cmd); 5)MS~ii  
i0$kit  
%Feedback dimensions of Lens part TIR 8Bjib&im  
result='Core系数如下：' B,=H
@[Fj  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d *9{Z$IA9w  
Aperture=r OUNd@o  
Obstruction='None' L');!/:  
Position=P_Core(5) k<\$Oo
OZ  
format short e; fu]s/'8B  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] q*7VqB  
format short; k-{<=>uM  
%Create Core :FTMmW,>'  
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)))']; <U\B!fO'  
ddeexec(TP_COMMAND,cmd); Oz%>/zw[h
 
cmd =['(entity:move Core 0 0 5.9493)']; ^i} L-QR  
ddeexec(TP_COMMAND,cmd); w_{wBL[3e  
cmd =['(property:apply-name Core "Core")']; z\%Ls   
ddeexec(TP_COMMAND,cmd); rMhB9zB1  
L>RP-x>  
%Create Lens \hEN4V[  
cmd =['(define Unite (bool:unite TIR Core))']; cbT7CG  
ddeexec(TP_COMMAND,cmd); 20nP/e  
cmd =['(define block (insert:block 100 100 100))']; <t \H^H!  
ddeexec(TP_COMMAND,cmd); T r1?620  
cmd =['(entity:move block 0 0 -50)']; ,^. 88<  
ddeexec(TP_COMMAND,cmd); 3 C<L  
cmd =['(define Lens (bool:subtract Unite block))']; l.NEkAYPmH  
ddeexec(TP_COMMAND,cmd); G%W8S \  
cmd =['(property:apply-name Lens "Lens")']; <yH4HY  
ddeexec(TP_COMMAND,cmd); T, )__h  
='
Y!+  
%Close the DDE connection U5.LDv;  
ddeterm(TP_COMMAND); 6U R2IxbE  

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