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) x2tx{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_;$A
Position=P_TIR(5) 2pZ|+!xc+
format short e; r`mfLA]d
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] b}axw+
format short; 3F<My+J
W4X=.vr
%DDE Connection
rq+E"Uj?
TP_COMMAND = ddeinit('TracePro','Scheme'); gzi~BJ
%Create TIR 02b v0
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; l'mgjv~
ddeexec(TP_COMMAND,cmd); v vOG]2z
cmd =['(entity:move TIR 0 0 -2.3712)']; k;q|pQ[
ddeexec(TP_COMMAND,cmd); F4KXx^~o
cmd =['(property:apply-name TIR "TIR")']; N^:)U"9*e
ddeexec(TP_COMMAND,cmd); ix6j=5{
Q]66v$
%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[#$I+Z%
Obstruction='None' mD=x3d
Position=P_Core(5) "1WwSh}Z
format short e; ..;}EFw5
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] ^jq QG+`?
format short; ':6`M
%Create Core <`n T+c
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002 1.9124e-001 -1.7949e-002 2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; r+d%*Dx
ddeexec(TP_COMMAND,cmd); <4D.P2ct
cmd =['(entity:move Core 0 0 5.9493)']; evz{@;.R
ddeexec(TP_COMMAND,cmd); / 9^:*,
cmd =['(property:apply-name Core "Core")']; Z!v)zH\
ddeexec(TP_COMMAND,cmd); @tR:}J*9s
~~;J[Fp
%Create Lens ~*ST fyFw
cmd =['(define Unite (bool:unite TIR Core))']; r3{Cu z
ddeexec(TP_COMMAND,cmd); Q6]SsV?x
cmd =['(define block (insert:block 100 100 100))']; #J#x,BLI
ddeexec(TP_COMMAND,cmd); MZl6J
cmd =['(entity:move block 0 0 -50)']; ,_F@9Up
ddeexec(TP_COMMAND,cmd); -Uh3A\#(
cmd =['(define Lens (bool:subtract Unite block))']; ,l1A]Wx
ddeexec(TP_COMMAND,cmd); ko2 ?q
cmd =['(property:apply-name Lens "Lens")'];
W0R<^5_
ddeexec(TP_COMMAND,cmd); D!^&*Ia?2
s\@RJ[(<
%Close the DDE connection >kU$bh.(
ddeterm(TP_COMMAND); :6:;Z
qn