程序如下: Zl+Ba
% By Ruibin 08-9-25 e[a?5,s2
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 2{o
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clear all;clc V,CVMbn/%N
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% The Frist Step: Define independent parameters 2E":6:Wsw
r=3.25; %选择开孔半径 9xm' 0 '
R=4.25; %定义曲面底部半径 >AT T<U=
d=1; %设置透镜前方平板高度
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n=1.4935; %定义材料折射率 =fr_` "?k
dividing_angle=24; %定义Core与TIR的分界角 %VD>S
min_angle=1; %设置计算精度 VU[4 W8f
N=4; %设定拟合非球面系数阶数 <>FpvdB
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% The Second Step:Caculate induced variable %"0g}tK6
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); =icynW^Fr
num_Core=length(angles_Core);num_TIR=length(angles_TIR); zU)Ib<$
for i=1:(num_Core) p/k6}Wl
a_Core(i)=(angles_Core(i)*pi/180); 7#BUd/
k1(i)=cot(a_Core(i)); y`OL^D4
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); fudIUG.
end xi
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k1(num_Core)=999;k2(num_Core)=0; h#>%\Pvt;
for i=1:num_TIR oJEUNgY&
a_TIR(i)=(angles_TIR(i)*pi/180); V=v7<I=]
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); d]*a:>58
k4(i)=tan(asin(cos(a_TIR(i))/n)); ZCbnDj
end XeT{y]lkd
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Z/S7ei@56
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% The Third Step:Solve functions ?{
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for i=1:num_Core %Solve the curve of Core ny]R,D0
syms x; 1/H9(2{L
f1=k1(i)*x; k7gm)}RKcu
f2=k2(i)*(x-X0_Core)+Y0_Core; =#"ZO
f=f1-f2; _26<}&]b*
x=double(solve(f));y=k1(i)*x; TEK]$%2
X0_Core=x;Y0_Core=y; 855JAf
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; :sY pZX1
end u`]J]gE
for i=1:num_TIR %Solve the curve of TIR hZobFf
syms x; 5k^UZw
f1=k3(i)*(x-X0_TIR)+Y0_TIR; JPt=~e(
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); a\Ond#1p
f=f1-f2; Oa'DVfw2J
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ^atX/
X0_TIR=x;Y0_TIR=y; 7jZ=+2
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; / ao|v
end @,Iyn<v{B
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% The furth Step:Fitting the curve 8a^E{x@HT
P_Core=polyfit(Px_Core,Py_Core,4); 8"zFTP*;u
P_TIR=polyfit(Px_TIR,Py_TIR,4); uP-I7l0i1
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% The fifth Step:Feedback chief dimensions of the lens and Create it Whd2mKwiO
%Feedback dimensions of the whole lens xSQ:#o=8G
result='透镜尺寸如下:' =wEqI)Td
Diameter_of_lens=2*Px_TIR(num_TIR) %` cP|k
Thickness_of_lens=Py_TIR(num_TIR)+d csPziH$wl
Diameter_of_Core=2*r H40~i=.
Thickness_of_front_pannel=d BP6|^Q
Bottom_thickness=R-r #]iSh(|8
Lowest_Core=P_Core(5) ?J<V-,i
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%Feedback dimensions of Lens part TIR R*l#[D5A
result='TIR系数如下:' FG^Jh5
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d YQ&Ww|xe
Aperture=Px_TIR(num_TIR) r{V=)h
Obstruction=r q;^Q1[Ari
Position=P_TIR(5) +ti_?gfx
format short e; e-Xr^@M*Q
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] [=})^t?8
format short; &.zG?e.
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%DDE Connection _NfdJ=[Xh
TP_COMMAND = ddeinit('TracePro','Scheme'); J 8z|ua
%Create TIR OM]d}}=Y
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)))']; 5@Y rtZI
ddeexec(TP_COMMAND,cmd); oV)#s!
cmd =['(entity:move TIR 0 0 -2.3712)']; )<?^~"h
ddeexec(TP_COMMAND,cmd); 6%hr]>L
cmd =['(property:apply-name TIR "TIR")']; %yjz@
ddeexec(TP_COMMAND,cmd); g H+s)6
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%Feedback dimensions of Lens part TIR \i*QKV<
result='Core系数如下:' 1%v!8$
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ,eI2#6w|C
Aperture=r S~~G0GiW
Obstruction='None' ^/0c`JG!x
Position=P_Core(5) B1x# 7>K
format short e; r9nyEzk
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] Q"6:W2#v
format short; Z%Kkh2-uh
%Create Core BwLggo
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)))']; 7Rba@ cs9
ddeexec(TP_COMMAND,cmd); K@JGGgrE`!
cmd =['(entity:move Core 0 0 5.9493)']; ma +iIt;
ddeexec(TP_COMMAND,cmd); EO&PabZWR
cmd =['(property:apply-name Core "Core")']; mW/6FC
ddeexec(TP_COMMAND,cmd); JE a~avyJ
m| /?((s
%Create Lens iI!MF1
cmd =['(define Unite (bool:unite TIR Core))']; FO"sE`
ddeexec(TP_COMMAND,cmd); 6n|R<DO%\
cmd =['(define block (insert:block 100 100 100))']; SBf8Ipe
ddeexec(TP_COMMAND,cmd); #~_ZG% u
cmd =['(entity:move block 0 0 -50)']; GOKca%DT=
ddeexec(TP_COMMAND,cmd); $s2Y,0>I6
cmd =['(define Lens (bool:subtract Unite block))']; I"=a:q
ddeexec(TP_COMMAND,cmd); ~t>i+{JKE
cmd =['(property:apply-name Lens "Lens")']; n(}W[bZ4
ddeexec(TP_COMMAND,cmd); YB`;<+sY
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%Close the DDE connection -4%{Jb-1
ddeterm(TP_COMMAND); 8 h.Dc&V