程序如下: g00XZ0@
% By Ruibin 08-9-25 :SYg)|s
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. u9VJ{F
66z1_lA
clear all;clc @Vb-BC,
"G4{;!0C
% The Frist Step: Define independent parameters N'[^n,\(:
r=3.25; %选择开孔半径 nnr(\r~
R=4.25; %定义曲面底部半径 0eUsvzz15
d=1; %设置透镜前方平板高度 RYvS,hf6z
n=1.4935; %定义材料折射率 m _:ib}
dividing_angle=24; %定义Core与TIR的分界角 2+ 9">a@
min_angle=1; %设置计算精度 U)c,ZxE
N=4; %设定拟合非球面系数阶数 hg\$>W~2
fmloh1{4
% The Second Step:Caculate induced variable FQ O6w'
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); m\jp$
num_Core=length(angles_Core);num_TIR=length(angles_TIR); Pb[wysy
for i=1:(num_Core) nwV\[E
a_Core(i)=(angles_Core(i)*pi/180); N^`F_R1Z
k1(i)=cot(a_Core(i)); L4Kkbt<x
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); Ng;E]2"
end v)X1R/z5xw
k1(num_Core)=999;k2(num_Core)=0; &LYU#$sj
for i=1:num_TIR Iy`Zh@"~
a_TIR(i)=(angles_TIR(i)*pi/180); >gVR5o
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); dq|z;,`
k4(i)=tan(asin(cos(a_TIR(i))/n)); G]5'U"c j3
end 'VO^H68
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); QEtZ]p1H@
Vl'|l)b4W
% The Third Step:Solve functions 30F&FTW
for i=1:num_Core %Solve the curve of Core (^057
syms x; b]*9![_
f1=k1(i)*x; <$7*yV
f2=k2(i)*(x-X0_Core)+Y0_Core; xJZbax[
f=f1-f2; `Jz"rh-M
x=double(solve(f));y=k1(i)*x; t;E-9`N
X0_Core=x;Y0_Core=y; BIX%Bu0'f
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; /<y-pFTg
end ZEHz/Y%
for i=1:num_TIR %Solve the curve of TIR wRU pQ~=B2
syms x; $7PFos%@
f1=k3(i)*(x-X0_TIR)+Y0_TIR; i mJ{wF
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); m qtl0P0
f=f1-f2; mJWl#3
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ^$yr-p%-
X0_TIR=x;Y0_TIR=y; }R.cqk\qa^
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; P3@[x
end QbS w<V
| F:?
% The furth Step:Fitting the curve @\[&_DZ
P_Core=polyfit(Px_Core,Py_Core,4); VJJw"4DJ
P_TIR=polyfit(Px_TIR,Py_TIR,4); ywCE2N<-V?
n_?<q{GW
% The fifth Step:Feedback chief dimensions of the lens and Create it %'t~+_
%Feedback dimensions of the whole lens v#D9yttO{
result='透镜尺寸如下:' kqv>rA3
Diameter_of_lens=2*Px_TIR(num_TIR) xOD;pRZQ
Thickness_of_lens=Py_TIR(num_TIR)+d 0UlaB
sv
Diameter_of_Core=2*r
KqaeRs.u
Thickness_of_front_pannel=d `EV[uj&1S
Bottom_thickness=R-r o-7>^wV%BD
Lowest_Core=P_Core(5)
:E'38~
$NJi]g|<3
%Feedback dimensions of Lens part TIR R-hqaEB
result='TIR系数如下:' J&Le*R'
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d &*L:4By)]
Aperture=Px_TIR(num_TIR) 1<fEz
Obstruction=r f{5)yZ`J*
Position=P_TIR(5) t~X wF(";
format short e; )SUT+x(DU
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ^vo^W:
format short; 0.|tKetHq
[#uX{!q'
%DDE Connection z26zl[.
TP_COMMAND = ddeinit('TracePro','Scheme'); hRGK W
%Create TIR <@5#
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)))']; Q|+m)A4@
ddeexec(TP_COMMAND,cmd); xdp{y=,[
cmd =['(entity:move TIR 0 0 -2.3712)']; H6rWb6i
ddeexec(TP_COMMAND,cmd); .U9NQwd
cmd =['(property:apply-name TIR "TIR")']; Qe]@`Vg
ddeexec(TP_COMMAND,cmd); 0Q%'vBX\`
.|KxQn}
%Feedback dimensions of Lens part TIR :NS;y-{^^y
result='Core系数如下:' QTK\"
Thickness=Py_TIR(num_TIR)-P_Core(5)+d yq\)8Fe
Aperture=r N;RZIg(x
Obstruction='None' t`H^!
b
Position=P_Core(5)
<k/'mBDk
format short e; 'Ys"yY@
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] @T]gwJ
format short; ?nj _gL
%Create Core y|iZuHS}
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)))']; %|oY8;0|A>
ddeexec(TP_COMMAND,cmd); #C4
cmd =['(entity:move Core 0 0 5.9493)']; VLu_SXlo*
ddeexec(TP_COMMAND,cmd); M)Tv(7
cmd =['(property:apply-name Core "Core")']; Lg_y1Mu7o
ddeexec(TP_COMMAND,cmd); @+B
.<@V
`H^Nc\P#
%Create Lens r/:s2oQ
cmd =['(define Unite (bool:unite TIR Core))']; cd*y{Wt
ddeexec(TP_COMMAND,cmd); lb`P9mbr+
cmd =['(define block (insert:block 100 100 100))']; 9j$
OU@N
8
ddeexec(TP_COMMAND,cmd); Z(*nZT,
cmd =['(entity:move block 0 0 -50)']; a%Cq?HZ7
ddeexec(TP_COMMAND,cmd); <w.V !"!
cmd =['(define Lens (bool:subtract Unite block))']; ZEUd?"gaR
ddeexec(TP_COMMAND,cmd); t<}'/
)
cmd =['(property:apply-name Lens "Lens")']; 9BNAj-Xa
ddeexec(TP_COMMAND,cmd); ^ yH|k@y
-!(3fO:
%Close the DDE connection U7tT
ddeterm(TP_COMMAND); o(C({]UO/