程序如下: aBAoSn
% By Ruibin 08-9-25 @2Z|\ojJ
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. +t7HlAXB#
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clear all;clc Gs:g
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% The Frist Step: Define independent parameters "*lx9bvV_
r=3.25; %选择开孔半径 s< tG
R=4.25; %定义曲面底部半径 '(]Wtx%9"
d=1; %设置透镜前方平板高度 (Jq m9
n=1.4935; %定义材料折射率 ?eJ' $
dividing_angle=24; %定义Core与TIR的分界角 t>[QW`EeP
min_angle=1; %设置计算精度 & 9e
N=4; %设定拟合非球面系数阶数 }9OMXLbRv
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% The Second Step:Caculate induced variable %Wtf24'o;v
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); zw<<st Bp
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 6~dAK3v5
for i=1:(num_Core) E~y8X9HZ)
a_Core(i)=(angles_Core(i)*pi/180); XDK Me}
k1(i)=cot(a_Core(i)); XT^=v6^H
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); +w0Wg.4V
end U6JD^G=qR,
k1(num_Core)=999;k2(num_Core)=0; tB;PGk_6
for i=1:num_TIR <$A,|m
a_TIR(i)=(angles_TIR(i)*pi/180); uQdeKp4(
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); W6?=9].gc
k4(i)=tan(asin(cos(a_TIR(i))/n)); P2'c{],3V
end <Sot{_"li
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); c!@|yE,
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% The Third Step:Solve functions UP#@gxF
for i=1:num_Core %Solve the curve of Core Zbo4{.#
syms x; %DuPM66r
f1=k1(i)*x; 0A}XhX
f2=k2(i)*(x-X0_Core)+Y0_Core; <EnmH/C.
f=f1-f2; ]ZLF=
x=double(solve(f));y=k1(i)*x; W[jg+|
X0_Core=x;Y0_Core=y;
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Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; qkfof{z
end Rk9n,"xpv
for i=1:num_TIR %Solve the curve of TIR /l`zZ>
syms x; mxqZj8VuH
f1=k3(i)*(x-X0_TIR)+Y0_TIR;
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f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 1F.._5_"]
f=f1-f2; Y6wr}U
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR;
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X0_TIR=x;Y0_TIR=y; iv`G}.Bo
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; bfeTf66c
end 9@1n:X
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% The furth Step:Fitting the curve YusmMsN?
P_Core=polyfit(Px_Core,Py_Core,4); |X{j^JP5
P_TIR=polyfit(Px_TIR,Py_TIR,4); 9>{ml&$
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% The fifth Step:Feedback chief dimensions of the lens and Create it 5kqI
%Feedback dimensions of the whole lens )
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result='透镜尺寸如下:' G;gsDn1t
Diameter_of_lens=2*Px_TIR(num_TIR) '&Ur(axs
Thickness_of_lens=Py_TIR(num_TIR)+d uP4yJ/]
Diameter_of_Core=2*r @o[ZJ4>*
Thickness_of_front_pannel=d e=XP4h
Bottom_thickness=R-r [fCnq
Lowest_Core=P_Core(5) i:Y5aZc/Ds
,'C*?mms
%Feedback dimensions of Lens part TIR T=NLBJ
result='TIR系数如下:' ")ys!V9
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d )h ,v(Rxa
Aperture=Px_TIR(num_TIR) 6b*xhu\
Obstruction=r 5_A*IC]
Position=P_TIR(5)
[<r.M<3
format short e; 2KO`+
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] )fo0YpE^|
format short; h5P ]`r
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%DDE Connection idHI)6!
TP_COMMAND = ddeinit('TracePro','Scheme'); iB99.,o-&
%Create TIR )Q9Qo)D T
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)))']; @GXKqi
ddeexec(TP_COMMAND,cmd); {'alA
cmd =['(entity:move TIR 0 0 -2.3712)']; zWPX
ddeexec(TP_COMMAND,cmd); 7.2G}O6$
cmd =['(property:apply-name TIR "TIR")']; 1q=Q/L4P
ddeexec(TP_COMMAND,cmd); 1z|bQ,5
x+~!M:fAc9
%Feedback dimensions of Lens part TIR h[Sd3Z*
result='Core系数如下:' X<_HQ
Thickness=Py_TIR(num_TIR)-P_Core(5)+d Qu<6X@+5
Aperture=r ElTB{C>u
Obstruction='None' "Plo[E
Position=P_Core(5) 6wT ])84
format short e; Z@Q/P(t
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)]
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format short; (z;lNl(*C
%Create Core 1mHS -oI9J
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)))']; G8'{nPA~
ddeexec(TP_COMMAND,cmd); ]' n4e*
cmd =['(entity:move Core 0 0 5.9493)']; 3ouy-SQ
ddeexec(TP_COMMAND,cmd); ";Cf@}i>
cmd =['(property:apply-name Core "Core")']; {tOf0W|
ddeexec(TP_COMMAND,cmd); a/s5Oit2'X
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%Create Lens ~u!V_su]GY
cmd =['(define Unite (bool:unite TIR Core))']; 6jm?d"9
ddeexec(TP_COMMAND,cmd); 3S#p4{3
cmd =['(define block (insert:block 100 100 100))']; izcjI.3e,
ddeexec(TP_COMMAND,cmd); oM>UIDCY_v
cmd =['(entity:move block 0 0 -50)']; DO{otn9<
ddeexec(TP_COMMAND,cmd); Hr=|xw8.
cmd =['(define Lens (bool:subtract Unite block))']; y(iq
ddeexec(TP_COMMAND,cmd); |_g7k2oLY
cmd =['(property:apply-name Lens "Lens")']; sk07|9nU
ddeexec(TP_COMMAND,cmd); ;:oXe*d
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%Close the DDE connection +qpG$#J0
ddeterm(TP_COMMAND); :B=Gb8?