程序如下： a0~LZQ?
% By Ruibin 08-9-25 y2cYRHN[X}
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. PY[nnoF"|
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clear all;clc < v % Q|r
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% The Frist Step: Define independent parameters -e(e;e
r=3.25; %选择开孔半径 KSz;D+L \
R=4.25; %定义曲面底部半径 ~7ZWt g;B
d=1; %设置透镜前方平板高度 Qhy!:\&1
n=1.4935; %定义材料折射率 %py3f zg
dividing_angle=24; %定义Core与TIR的分界角 W^k95%zBM
min_angle=1; %设置计算精度 {\ hjKP
N=4; %设定拟合非球面系数阶数 Q WcQtM
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% The Second Step：Caculate induced variable D HQS7%)f`
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); F$M^}vsjGx
num_Core=length(angles_Core);num_TIR=length(angles_TIR); FF #T"y0Y
for i=1:(num_Core) zcGmru|k
a_Core(i)=(angles_Core(i)*pi/180); H\RejGR
k1(i)=cot(a_Core(i)); -!q^/ux
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 8
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;
end *O_>3Hgl
k1(num_Core)=999;k2(num_Core)=0; /*P) C'_M
for i=1:num_TIR 5 :|9pe)
a_TIR(i)=(angles_TIR(i)*pi/180); Y O&@
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); >
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k4(i)=tan(asin(cos(a_TIR(i))/n)); KrdEB0qh
end F_G .$a Cc
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); jI Entk
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% The Third Step:Solve functions L+N\B@ 0-
for i=1:num_Core %Solve the curve of Core U$|q] N
syms x; uP G\1
f1=k1(i)*x; `R;i1/
f2=k2(i)*(x-X0_Core)+Y0_Core; t'1g+g
f=f1-f2; $Q"D>Qf{G
x=double(solve(f));y=k1(i)*x; Me79 :+d
X0_Core=x;Y0_Core=y; (@->AJF1\
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; AXF
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end F Y<Q|Ov
for i=1:num_TIR %Solve the curve of TIR $G P66Ev
syms x; pT{is.RM
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 3^ [P
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); _B>'07D0
f=f1-f2; [Do^EJ
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; =p^$>o
X0_TIR=x;Y0_TIR=y; {0~\ T[qm
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 4%2APvLW
end \3OEC`
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% The furth Step:Fitting the curve tn#cVB3
P_Core=polyfit(Px_Core,Py_Core,4); p#).;\M
P_TIR=polyfit(Px_TIR,Py_TIR,4); ~ | b\1SR
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% The fifth Step:Feedback chief dimensions of the lens and Create it %N)B8A9kh
%Feedback dimensions of the whole lens Z#.1p'3qm1
result='透镜尺寸如下：' 7HkFDI()1
Diameter_of_lens=2*Px_TIR(num_TIR) yX4 Vv{g
Thickness_of_lens=Py_TIR(num_TIR)+d ! ui
Diameter_of_Core=2*r &Ts !#OcB,
Thickness_of_front_pannel=d NB1KsvD{
Bottom_thickness=R-r +j{(NwsX
Lowest_Core=P_Core(5) "I66 @d?
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%Feedback dimensions of Lens part TIR EjL]#,QR
result='TIR系数如下：' ^R =`<jx
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d vhPlH 0
Aperture=Px_TIR(num_TIR) ,VS(4
Obstruction=r >ei~ :z]R
Position=P_TIR(5) o2X95 NiH
format short e; OHi.5 (
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ?h6|N%U'
format short; 9 wZ? ")2
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%DDE Connection 5CZyA`3V^5
TP_COMMAND = ddeinit('TracePro','Scheme'); PJ iU2Y33
%Create TIR E/g"}yR
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)))']; Asv]2> x
ddeexec(TP_COMMAND,cmd); Z/%FQ
cmd =['(entity:move TIR 0 0 -2.3712)']; QuqznYSY{
ddeexec(TP_COMMAND,cmd); *#'j0;2F
cmd =['(property:apply-name TIR "TIR")']; ''YqxJ fb
ddeexec(TP_COMMAND,cmd); H, ]8[ qT<
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%Feedback dimensions of Lens part TIR &nP0T-T5y
result='Core系数如下：' o>_})WM1[
Thickness=Py_TIR(num_TIR)-P_Core(5)+d R| n
Aperture=r "aOs#4N
Obstruction='None' i+h*<){X
Position=P_Core(5) tGgxI D
format short e; Ec!!9dgRQ
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] l3sF/zkH
format short; !{g<RS( c
%Create Core ao2 ^3e
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)))']; O;~e^ <*
ddeexec(TP_COMMAND,cmd); 1(-!TJ{
cmd =['(entity:move Core 0 0 5.9493)']; ~.aR=m\#
ddeexec(TP_COMMAND,cmd); &1$d`>fn
cmd =['(property:apply-name Core "Core")']; x=t(#R m
ddeexec(TP_COMMAND,cmd); g 3z/yj
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%Create Lens 6@s!J8!
cmd =['(define Unite (bool:unite TIR Core))']; q2*A'C
ddeexec(TP_COMMAND,cmd); Z+&V >
cmd =['(define block (insert:block 100 100 100))']; N[p o)}hp
ddeexec(TP_COMMAND,cmd); D`T;j[SsS#
cmd =['(entity:move block 0 0 -50)']; SI=$s>1
ddeexec(TP_COMMAND,cmd); !l9{R8m>eJ
cmd =['(define Lens (bool:subtract Unite block))']; tw_o?9
ddeexec(TP_COMMAND,cmd); SLKpl LO
cmd =['(property:apply-name Lens "Lens")']; xvV"; o
ddeexec(TP_COMMAND,cmd); 5p (zhfuG
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%Close the DDE connection QWk3y"5n<
ddeterm(TP_COMMAND); v>_@D@pr
