程序如下: ]\oE}7K%r
% By Ruibin 08-9-25 b;t b&o
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ?=\_U
@!s(Zkpev
clear all;clc YX19QG%
=!PUKa3f<
% The Frist Step: Define independent parameters /BfCh(B
r=3.25; %选择开孔半径 w0$l3^}z
R=4.25; %定义曲面底部半径 Lcy>!3q3~
d=1; %设置透镜前方平板高度 iVb#X#
n=1.4935; %定义材料折射率 -Khb
dividing_angle=24; %定义Core与TIR的分界角 DwH=ln=
min_angle=1; %设置计算精度 d)jX%Z$LC
N=4; %设定拟合非球面系数阶数 dG'5: ,n/
aW#_"Y}v'
% The Second Step:Caculate induced variable @)m+b;
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); b. oA}XP
num_Core=length(angles_Core);num_TIR=length(angles_TIR); &\s>PvnquX
for i=1:(num_Core) {t&+abY
a_Core(i)=(angles_Core(i)*pi/180); 2[$` ]{U
k1(i)=cot(a_Core(i)); DSx D531[A
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ]e]l08
end vxx7aPjC
k1(num_Core)=999;k2(num_Core)=0; Y4n;[nHQ(
for i=1:num_TIR pM7xnL4
a_TIR(i)=(angles_TIR(i)*pi/180); @ei:/~y3
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); OPwO`pN
k4(i)=tan(asin(cos(a_TIR(i))/n)); ^LJ?GJ$g
end .6#Y-iJqc
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); pM'AhzS
s7TV@Y)
% The Third Step:Solve functions EL-1o02-
for i=1:num_Core %Solve the curve of Core mbRN W
syms x; xT1{O `
f1=k1(i)*x; S)d_A
f2=k2(i)*(x-X0_Core)+Y0_Core; ~",,&>#[K
f=f1-f2; nH]F$'rtA
x=double(solve(f));y=k1(i)*x; _fQBXG2
X0_Core=x;Y0_Core=y; 1]j_4M14aA
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; :N([s(}!$2
end ZICcZG_y
for i=1:num_TIR %Solve the curve of TIR 0q
^dpM
syms x; =1Mh%/y
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 9K
F`9Y
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); :X;AmLf`2u
f=f1-f2; U
i ~*]
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; SRx `m,535
X0_TIR=x;Y0_TIR=y; I7nZ9n|KU
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; )#l,RJ(
end 7T3ub3\
/^z5;aG
% The furth Step:Fitting the curve @}cZxFQ!C
P_Core=polyfit(Px_Core,Py_Core,4); ;{Kx$Yt+
P_TIR=polyfit(Px_TIR,Py_TIR,4); 4aQb+t,
13nXvYo'
% The fifth Step:Feedback chief dimensions of the lens and Create it Fv6<Cz6L
%Feedback dimensions of the whole lens D>Qc/+
result='透镜尺寸如下:' P$= Y 5
Diameter_of_lens=2*Px_TIR(num_TIR) cQMb+ Q2Yw
Thickness_of_lens=Py_TIR(num_TIR)+d q={\|j$X
Diameter_of_Core=2*r 2!35Tj"RFE
Thickness_of_front_pannel=d /hMD
Me
Bottom_thickness=R-r /)` kYD6
Lowest_Core=P_Core(5) *OQr:e<}
&zYo
%Feedback dimensions of Lens part TIR c{u~=24;%#
result='TIR系数如下:' &<E*W*b[
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d $}/ !mXI5
Aperture=Px_TIR(num_TIR) /WJ*ro]Hd$
Obstruction=r WurpHOJt+
Position=P_TIR(5) @*gm\sU4
format short e; a9GLFA8Vq
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] bNG;`VZ%
format short; a!>yX
ex
[J|)DUjt
%DDE Connection ]jz%])SzH
TP_COMMAND = ddeinit('TracePro','Scheme'); kMHupROj
%Create TIR =U5lPsiv,3
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)))']; t-$R)vZ}M
ddeexec(TP_COMMAND,cmd); -/.Xf<y58
cmd =['(entity:move TIR 0 0 -2.3712)']; R;_U BQ)
ddeexec(TP_COMMAND,cmd); e:Zc-
cmd =['(property:apply-name TIR "TIR")']; AqKl}8
ddeexec(TP_COMMAND,cmd); I9`R LSn
DVNGV
%Feedback dimensions of Lens part TIR =;/4j'1}9
result='Core系数如下:' jy] hP?QG
Thickness=Py_TIR(num_TIR)-P_Core(5)+d i~dW)7
Aperture=r ?[K+Ym+
Obstruction='None' %7PprN0>
Position=P_Core(5) J2`b:%[
format short e; -k
p~pe*T
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] .oq!Ys4KA
format short; -BNlZgk-^
%Create Core $Wy7z^t
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)))']; 6s833Tmb&r
ddeexec(TP_COMMAND,cmd); FBM 73D@`
cmd =['(entity:move Core 0 0 5.9493)']; n2Oi< )
ddeexec(TP_COMMAND,cmd); yWACIaj
cmd =['(property:apply-name Core "Core")']; g<