程序如下： =E?kx f[X
% By Ruibin 08-9-25 [xW;5j<87
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. xe9E</M_
Ud@D%?A7
clear all;clc !c+,O U[
lr[U6CJY
% The Frist Step: Define independent parameters 2 loy4f
r=3.25; %选择开孔半径 ;w0|ev 6|
R=4.25; %定义曲面底部半径 ?Vg251-H
d=1; %设置透镜前方平板高度 g{0a]'ph
n=1.4935; %定义材料折射率 4h% G %>j
dividing_angle=24; %定义Core与TIR的分界角 /o@6? UH
min_angle=1; %设置计算精度 Mkc
N=4; %设定拟合非球面系数阶数 lsJl+%&8
(S MnYh4
% The Second Step：Caculate induced variable oih n`DY {
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); REqQJ7a/
num_Core=length(angles_Core);num_TIR=length(angles_TIR); #_oN.1u57
for i=1:(num_Core) Q> OBK&'
a_Core(i)=(angles_Core(i)*pi/180); Ed">$S
k1(i)=cot(a_Core(i)); c:? tn
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); \M$e#^g
end DAYR=s
k1(num_Core)=999;k2(num_Core)=0; Bgw =((p
for i=1:num_TIR `p qj~s
a_TIR(i)=(angles_TIR(i)*pi/180); I?y!d
G
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); B8J_^kd
k4(i)=tan(asin(cos(a_TIR(i))/n)); Z9S5rPHEL
end oW[];r
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); ~ 1xfE C/
gl. uDO%.
% The Third Step:Solve functions 8kn> ?
for i=1:num_Core %Solve the curve of Core ) 67pBj
syms x; !Q/oj
Q
f1=k1(i)*x; tNk.|}
f2=k2(i)*(x-X0_Core)+Y0_Core; w8(8n&5
f=f1-f2; @q(sig00nr
x=double(solve(f));y=k1(i)*x; UQ[!k 6
X0_Core=x;Y0_Core=y; r1pj-
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; }.ZT?p \
end R_JB`H Fy=
for i=1:num_TIR %Solve the curve of TIR $G UCVxs
syms x; c\P,ct
}>
f1=k3(i)*(x-X0_TIR)+Y0_TIR; &7-ENg9 [
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); Dt# ( fuk#
f=f1-f2; G+5_I"`W
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ;,WI_i P(w
X0_TIR=x;Y0_TIR=y; 5)@UpcjUA
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; `eo$o!
end W {@,DQ
m[>pv1o
% The furth Step:Fitting the curve %2q0lFdcM
P_Core=polyfit(Px_Core,Py_Core,4); ^pc?oDPSg
P_TIR=polyfit(Px_TIR,Py_TIR,4); I-glf?F)
EOj.Jrs~
% The fifth Step:Feedback chief dimensions of the lens and Create it Ld H23\
%Feedback dimensions of the whole lens dp|VQWCq
result='透镜尺寸如下：' $c1zM kY)u
Diameter_of_lens=2*Px_TIR(num_TIR) 4lp9 0sa
Thickness_of_lens=Py_TIR(num_TIR)+d gRsV -qS
Diameter_of_Core=2*r NsJ]Tp5!
Thickness_of_front_pannel=d +sY8<y@%
Bottom_thickness=R-r UM(`Oh8
Lowest_Core=P_Core(5) ;#/Uo8
9M]%h
%Feedback dimensions of Lens part TIR 5 $PDA*]9
result='TIR系数如下：' +|K/*VVn`
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d 7;8DKY q
Aperture=Px_TIR(num_TIR) nSSj&q- O
Obstruction=r lWyg_YO@
Position=P_TIR(5) QAx R'.d
format short e; =".sCV9"N
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] )a=FhSB[G
format short; A [hvT\X
'pa8h L
%DDE Connection SHA6;y+U/~
TP_COMMAND = ddeinit('TracePro','Scheme'); 'Szk!,_
%Create TIR oC
}
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)))']; A+QOox]<
ddeexec(TP_COMMAND,cmd); <)]j;Tl
cmd =['(entity:move TIR 0 0 -2.3712)']; J|uSj/8
ddeexec(TP_COMMAND,cmd); 4qKMnY R
cmd =['(property:apply-name TIR "TIR")']; qmF+@R&^i
ddeexec(TP_COMMAND,cmd); xXQW|#X\
L?&Trq 7i
%Feedback dimensions of Lens part TIR *eEn8rAr
result='Core系数如下：' &0Bs ?oq_
Thickness=Py_TIR(num_TIR)-P_Core(5)+d lHc|: vG?
Aperture=r ;\],R.!
Obstruction='None' lxh}N,
Position=P_Core(5) .t9*wz
format short e; [ApAd
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] +'`I] K>
format short; 5M=
S7B3 =
%Create Core Y-
tK
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)))']; k:0nj!^4w>
ddeexec(TP_COMMAND,cmd);
W*Gp0pX
cmd =['(entity:move Core 0 0 5.9493)']; `]$H\gNI[8
ddeexec(TP_COMMAND,cmd); btDP P k'
cmd =['(property:apply-name Core "Core")']; _h1:{hF
ddeexec(TP_COMMAND,cmd); |Qz"Z<sNYw
M1,1J- h
%Create Lens ( jtkY_
cmd =['(define Unite (bool:unite TIR Core))']; '(fCi
ddeexec(TP_COMMAND,cmd); pP^"p"<s
cmd =['(define block (insert:block 100 100 100))']; Y{c+/n3d
ddeexec(TP_COMMAND,cmd); _n 12Wx{
cmd =['(entity:move block 0 0 -50)']; lj+}5ySG/
ddeexec(TP_COMMAND,cmd); G&\!!i|IQ
cmd =['(define Lens (bool:subtract Unite block))']; `XK+Y
ddeexec(TP_COMMAND,cmd); G&,2>qxK R
cmd =['(property:apply-name Lens "Lens")']; |>Wi5h{6X
ddeexec(TP_COMMAND,cmd); lFc4| _c g
IfF&QBi
%Close the DDE connection v>' mW
ddeterm(TP_COMMAND); 1 g1gu=|Q
