[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： L' )(Zn1  
% By Ruibin 08-9-25 :)MZgW  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ?dTz?C.w  
O0Z'vbFG  
clear all;clc +)F8YMg e  
Q.8Jgel1  
% The Frist Step: Define independent parameters 
 T  
r=3.25;               %选择开孔半径 6: M  
R=4.25;               %定义曲面底部半径 c''!&;[!  
d=1;                  %设置透镜前方平板高度 E*'O))  
n=1.4935;             %定义材料折射率 BS{">lPmx  
dividing_angle=24;    %定义Core与TIR的分界角 ksK lw_%o  
min_angle=1;          %设置计算精度 '<@PgO~  
N=4;                  %设定拟合非球面系数阶数 4b<:67 %  
)^r4|WYyt  
% The Second Step：Caculate induced variable *vj5J"Y(;t  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); ,qr)}s-  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); k,&W5zBKe  
for i=1:(num_Core) t qER;L  
a_Core(i)=(angles_Core(i)*pi/180); W:tE ?Hu  
k1(i)=cot(a_Core(i)); N .SszZh  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); XCt}>/"s\h  
end M$?~C~b!*  
k1(num_Core)=999;k2(num_Core)=0; Db3tI#  
for i=1:num_TIR (*M(gM{;  
a_TIR(i)=(angles_TIR(i)*pi/180); *F9uv)[kz  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); _=cMa's  
k4(i)=tan(asin(cos(a_TIR(i))/n)); .jRXHrK;  
end 8T2$0  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); \@80Z5?n  
SWmdU]  
% The Third Step:Solve functions b.t]p  
for i=1:num_Core                    %Solve the curve of Core 8 {QvB"w  
syms x; K1$Z=]a+  
f1=k1(i)*x; .vb*|So  
f2=k2(i)*(x-X0_Core)+Y0_Core; $QY(7Z"  
f=f1-f2; j0OxR.S  
x=double(solve(f));y=k1(i)*x; 5&VLq  
X0_Core=x;Y0_Core=y; ,0])]  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; %f>V\z_C  
end PgxU;N7Y  
for i=1:num_TIR                      %Solve the curve of TIR L>PpXTWwy  
syms x; #q=?Zu^Da  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; &-&6ARb7o  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); / AW]12_  
f=f1-f2; mH8"k+k  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ;,F}!R  
X0_TIR=x;Y0_TIR=y; q,m6$\g4  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; {Ji[d.cY  
end Kj}}O2  
8ayB<b>+]"  
% The furth Step:Fitting the curve T}zOM%]]  
P_Core=polyfit(Px_Core,Py_Core,4); ~Ipl'cE  
P_TIR=polyfit(Px_TIR,Py_TIR,4); z:acrQwJ?1  
\BS^="AcpP  
% The fifth Step:Feedback chief dimensions of the lens and Create it L>xN7N3&m  
%Feedback dimensions of the whole lens d_OHQpfK  
result='透镜尺寸如下：' Qn6&M  
Diameter_of_lens=2*Px_TIR(num_TIR) x2tx{Z  
Thickness_of_lens=Py_TIR(num_TIR)+d WJhI6lu  
Diameter_of_Core=2*r 4sG^bZ,  
Thickness_of_front_pannel=d gB&'MA!  
Bottom_thickness=R-r O1-Ne.$  
Lowest_Core=P_Core(5)
4|
*_mC  
=>ignoeI  
%Feedback dimensions of Lens part TIR yA6"8fr  
result='TIR系数如下：' \N!k)6\  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d =0O`VSb  
Aperture=Px_TIR(num_TIR) OI1&Z4Lx  
Obstruction=r )<!y_;$A  
Position=P_TIR(5) 2pZ|+!xc+  
format short e; r`mfLA]d  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] b}axw+  
format short; 3F<My+J  
W4X=.vr  
%DDE Connection rq+E"Uj?  
TP_COMMAND = ddeinit('TracePro','Scheme'); gzi~BJ  
%Create TIR 02bv0  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; l'mgjv~  
ddeexec(TP_COMMAND,cmd); v vOG]2z  
cmd =['(entity:move TIR 0 0 -2.3712)']; k;q|pQ[  
ddeexec(TP_COMMAND,cmd); F
4KXx^~o  
cmd =['(property:apply-name TIR "TIR")']; N^:)U"9*e  
ddeexec(TP_COMMAND,cmd); ix6j=5{  
Q]66v$  
%Feedback dimensions of Lens part TIR )ASI41  
result='Core系数如下：' YJF!_kg.  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d qm]k (/w  
Aperture=r IJ[#$I+Z%  
Obstruction='None' mD=x3d  
Position=P_Core(5) "1WwSh}Z  
format short e; ..;}EFw5  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] ^jqQG+`?  
format short; ':6`M  
%Create Core <`n T+c  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; r+d%*Dx  
ddeexec(TP_COMMAND,cmd); <4D.P2ct  
cmd =['(entity:move Core 0 0 5.9493)']; evz{@;.R  
ddeexec(TP_COMMAND,cmd); / 9^:*,  
cmd =['(property:apply-name Core "Core")']; Z!v)zH\  
ddeexec(TP_COMMAND,cmd); @tR:}J*9s  
~~;J[Fp  
%Create Lens ~*ST fyFw  
cmd =['(define Unite (bool:unite TIR Core))']; r3{Cuz  
ddeexec(TP_COMMAND,cmd); Q6]SsV?x  
cmd =['(define block (insert:block 100 100 100))']; #J#x,BLI  
ddeexec(TP_COMMAND,cmd); MZl6J  
cmd =['(entity:move block 0 0 -50)']; ,_F@9Up  
ddeexec(TP_COMMAND,cmd); -Uh3A\#(  
cmd =['(define Lens (bool:subtract Unite block))']; ,l1A]Wx  
ddeexec(TP_COMMAND,cmd); ko2
?q  
cmd =['(property:apply-name Lens "Lens")']; W0R<^5_  
ddeexec(TP_COMMAND,cmd); D!^&*Ia?2  
s\@RJ[(<  
%Close the DDE connection >kU$bh.(  
ddeterm(TP_COMMAND); :6:;Z qn  

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