程序如下： "?xHlYj@ +
% By Ruibin 08-9-25 ,!y$qVg'\f
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. sI GMA$EK
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clear all;clc a~}OZ&PG
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% The Frist Step: Define independent parameters h(_57O:
r=3.25; %选择开孔半径 5 x4yyb'
R=4.25; %定义曲面底部半径 WiR(;m<g
d=1; %设置透镜前方平板高度 ChPmX+.i_
n=1.4935; %定义材料折射率 IY\5@P VZ
dividing_angle=24; %定义Core与TIR的分界角 6j]0R*B7`Q
min_angle=1; %设置计算精度 f+,qNvBY/
N=4; %设定拟合非球面系数阶数 _op}1
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% The Second Step：Caculate induced variable IK=a*}19L
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); q ^N7 I@Y
num_Core=length(angles_Core);num_TIR=length(angles_TIR); | rtD.,m
for i=1:(num_Core) c9 _ rmz8
a_Core(i)=(angles_Core(i)*pi/180); m n X2a
k1(i)=cot(a_Core(i)); k9 I%PH
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); hRCJv#]HC
end joAv {Tc
k1(num_Core)=999;k2(num_Core)=0; Zt{[ *~
for i=1:num_TIR WO>nIo5Y
a_TIR(i)=(angles_TIR(i)*pi/180); s)D;a-F
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); ,Ah;A[%?~
k4(i)=tan(asin(cos(a_TIR(i))/n)); LYK "( C
end plstZ,#j
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); "e>;' %W
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% The Third Step:Solve functions `e&Suyf4B
for i=1:num_Core %Solve the curve of Core L\ "d
syms x; i3mcx)d@H
f1=k1(i)*x; +lcb i
f2=k2(i)*(x-X0_Core)+Y0_Core; 0znR0%~
f=f1-f2; #r\4sVg
x=double(solve(f));y=k1(i)*x; #f]SK[nR
X0_Core=x;Y0_Core=y; =>v#4zFd
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; j>" @,B g*
end *P=VFP
for i=1:num_TIR %Solve the curve of TIR rw JIx|(
syms x; v^*K:#<Q!
f1=k3(i)*(x-X0_TIR)+Y0_TIR; <<5(0#y#
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); B %6)}Nl[
f=f1-f2; iz PDd{[
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; d^
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X0_TIR=x;Y0_TIR=y; :tg)p+KB
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; S|N_ o
end d/kv|$XW
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% The furth Step:Fitting the curve N S[l/0F&
P_Core=polyfit(Px_Core,Py_Core,4); =-n}[Y}A
P_TIR=polyfit(Px_TIR,Py_TIR,4); CkQ3#L <2
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% The fifth Step:Feedback chief dimensions of the lens and Create it f r6 fj
%Feedback dimensions of the whole lens h3
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result='透镜尺寸如下：' I,vJbvvl!
Diameter_of_lens=2*Px_TIR(num_TIR) Qpc__ dA\
Thickness_of_lens=Py_TIR(num_TIR)+d T:yE(OBf
Diameter_of_Core=2*r ENs&RZ;
Thickness_of_front_pannel=d ( ^Nz9{
Bottom_thickness=R-r R-d:j^:f
Lowest_Core=P_Core(5) ;85>xHK
&d^m 1
%Feedback dimensions of Lens part TIR 8'io$ 6d=
result='TIR系数如下：' RMu~l@
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d yYA$I'Bm\
Aperture=Px_TIR(num_TIR) R!gEwTk
Obstruction=r {B*s{{[/'
Position=P_TIR(5) -gX1-,dE
format short e; ` Eo.v#<
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] }00BllJ
format short; -X2Buz8
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%DDE Connection VTY 5]|;
TP_COMMAND = ddeinit('TracePro','Scheme'); R8Fv{7]c
%Create TIR ~U&AI1t+J
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)))']; ?J~_R1Z
ddeexec(TP_COMMAND,cmd); oQ[f,7u
cmd =['(entity:move TIR 0 0 -2.3712)']; x7<K<k;s
ddeexec(TP_COMMAND,cmd); u <v7;dF|s
cmd =['(property:apply-name TIR "TIR")']; M&9+6e'-F
ddeexec(TP_COMMAND,cmd); $}<e|3 _
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%Feedback dimensions of Lens part TIR q(W3i^778
result='Core系数如下：' 5MJS
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Thickness=Py_TIR(num_TIR)-P_Core(5)+d z[qDkL
Aperture=r oV78Hq6
Obstruction='None' ^>v+(
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Position=P_Core(5) T%*D~=fQ'
format short e; d)Y}>@:W
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] vy:Z /1q
format short; | [b{)s?x
%Create Core 5vnrA'BhBU
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002 1.9124e-001 -1.7949e-002 2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; p947w,1![
ddeexec(TP_COMMAND,cmd); e^1Twz3z
cmd =['(entity:move Core 0 0 5.9493)']; &`2)V;t
ddeexec(TP_COMMAND,cmd); m#\ dSl}
cmd =['(property:apply-name Core "Core")']; R.yvjPwJ
ddeexec(TP_COMMAND,cmd); :P 0mx
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%Create Lens J)p
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cmd =['(define Unite (bool:unite TIR Core))']; AFE~
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ddeexec(TP_COMMAND,cmd); hZt!/?dc
cmd =['(define block (insert:block 100 100 100))']; 6?c7$Y
ddeexec(TP_COMMAND,cmd); 8& b,qQ~
cmd =['(entity:move block 0 0 -50)']; tf`^v6 m%]
ddeexec(TP_COMMAND,cmd); Z=vU}S>r|v
cmd =['(define Lens (bool:subtract Unite block))']; =]0&i]z[.
ddeexec(TP_COMMAND,cmd); > /caXvS
cmd =['(property:apply-name Lens "Lens")']; i?^L/b`H
ddeexec(TP_COMMAND,cmd); FJ)$f?=Q d
$*=<Yw4
%Close the DDE connection <frutU16\
ddeterm(TP_COMMAND); 4~Q/"hMSkO
