程序如下: KRJLxNr
% By Ruibin 08-9-25 $./bjV%
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. {{C`mgC
>=iy2~Fz ,
clear all;clc K;7f?52
^$%Z!uz
% The Frist Step: Define independent parameters I8OD$`~*U6
r=3.25; %选择开孔半径 xf%4, JQ
R=4.25; %定义曲面底部半径 ( 6(x'ByT
d=1; %设置透镜前方平板高度 xoB},Xl$D
n=1.4935; %定义材料折射率 #S%Q*k<hw
dividing_angle=24; %定义Core与TIR的分界角 Y-ux7F{=z
min_angle=1; %设置计算精度 E&yD8=vw
N=4; %设定拟合非球面系数阶数 >pkT1Z&'
BQ^H? jo
% The Second Step:Caculate induced variable Khh0*S8.K
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); nS()u}c;r
num_Core=length(angles_Core);num_TIR=length(angles_TIR); yBLK$@9
for i=1:(num_Core) kF7(f|*
a_Core(i)=(angles_Core(i)*pi/180); @?C#r.vgp
k1(i)=cot(a_Core(i)); s08u @
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ~}Z\:#U
end ,n!vsIN
k1(num_Core)=999;k2(num_Core)=0; 1GEK:g2B
for i=1:num_TIR !h&g7do]Z
a_TIR(i)=(angles_TIR(i)*pi/180); 3cj3u4y
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); $ _8g8r}
k4(i)=tan(asin(cos(a_TIR(i))/n)); B*!WrB:s
end 5=(c%
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); RkFD*E$
P7B:%HiAx
% The Third Step:Solve functions @1zQce>
for i=1:num_Core %Solve the curve of Core 2?@j~I=s2h
syms x; }U@m*dEG
f1=k1(i)*x; 9>/wUQs!]
f2=k2(i)*(x-X0_Core)+Y0_Core; 1Xy]D
f=f1-f2; sqx`">R
x=double(solve(f));y=k1(i)*x;
2?Ye*-
X0_Core=x;Y0_Core=y; '2hbJk
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 3CTX -#)vS
end 0"pVT%b
for i=1:num_TIR %Solve the curve of TIR EoX_KG{
syms x; Dc~,D1xWj
f1=k3(i)*(x-X0_TIR)+Y0_TIR; nZR!*$}A
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 5)1+~ B
f=f1-f2; 3#wcKv%>&_
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; DOm[*1@^
X0_TIR=x;Y0_TIR=y; _eLWQ|6Fx
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; fJjgq)9
end o/[
8GJdRL(
% The furth Step:Fitting the curve Do?P<x o
P_Core=polyfit(Px_Core,Py_Core,4); KsAH]2Q%
P_TIR=polyfit(Px_TIR,Py_TIR,4); 33:DH}
t?;T3k[RM
% The fifth Step:Feedback chief dimensions of the lens and Create it 31Cq22"
%Feedback dimensions of the whole lens QGiAW7b5
result='透镜尺寸如下:' &R+#W
Diameter_of_lens=2*Px_TIR(num_TIR) '#\D]5
Thickness_of_lens=Py_TIR(num_TIR)+d hwnx<f '
Diameter_of_Core=2*r JM0I(% Z%
Thickness_of_front_pannel=d (yQ
5`
Bottom_thickness=R-r :ZdUx
Lowest_Core=P_Core(5) ~E4"}n[3A#
T+"f]v
%Feedback dimensions of Lens part TIR b|^I<7
result='TIR系数如下:' ~7q uTp)
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d E]^5I3=O
Aperture=Px_TIR(num_TIR) ~Y5l+EF#
Obstruction=r pw>m.=9|y
Position=P_TIR(5) Bp AB5=M0
format short e; S_J :&9L
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] z?8~[h{i%
format short; uMXc0fs!$
&!7+Yb(1
%DDE Connection eN0P9.eqM
TP_COMMAND = ddeinit('TracePro','Scheme'); Mjpo1dw
%Create TIR OKuD"
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)))']; U`R;P-
ddeexec(TP_COMMAND,cmd); ~M?|Vn
cmd =['(entity:move TIR 0 0 -2.3712)']; g=]&A
ddeexec(TP_COMMAND,cmd); 4h
5_M8I
cmd =['(property:apply-name TIR "TIR")']; M\/XP| 7
ddeexec(TP_COMMAND,cmd); D>ai.T%n
~JZ3a0$^
%Feedback dimensions of Lens part TIR P1 +"v*
result='Core系数如下:' 7r{qJ7$%
Thickness=Py_TIR(num_TIR)-P_Core(5)+d 6=|&tE
Aperture=r H;_yRUY9
Obstruction='None' GA^mgm"O
Position=P_Core(5) 34C``i
format short e; H^c0Kh+
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 4yV].2#rl"
format short; (;o*eFC F
%Create Core gqiXmMm:9
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)))']; $7gB_o$zz
ddeexec(TP_COMMAND,cmd); 3VCqp13
cmd =['(entity:move Core 0 0 5.9493)']; Q49BU@xX
ddeexec(TP_COMMAND,cmd); 9$WJ"]
cmd =['(property:apply-name Core "Core")']; Vk<k +=7
ddeexec(TP_COMMAND,cmd); u?Hb(xZtg=
%&] 1FhL
%Create Lens M$#sc`4*
cmd =['(define Unite (bool:unite TIR Core))']; ki\uTD`mf
ddeexec(TP_COMMAND,cmd); G\Hq/4
cmd =['(define block (insert:block 100 100 100))']; 4!%]fg}Um
ddeexec(TP_COMMAND,cmd); &{^eU5
cmd =['(entity:move block 0 0 -50)']; 6TFo|z!C
ddeexec(TP_COMMAND,cmd); z4Oo@3$\R
cmd =['(define Lens (bool:subtract Unite block))']; hYt7kq!"
ddeexec(TP_COMMAND,cmd); N_' +B+U?
cmd =['(property:apply-name Lens "Lens")']; f'/ KMe%<
ddeexec(TP_COMMAND,cmd); eqzTQen8q
X\2_;zwf
%Close the DDE connection }OKL
z.5
ddeterm(TP_COMMAND); k&Jo"[i&WO