程序如下: :z
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% By Ruibin 08-9-25 +O)]^"TG
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. Q Oz9\,C
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clear all;clc }X=87ud
*f79=x
% The Frist Step: Define independent parameters LYp'vZ!
r=3.25; %选择开孔半径 %0vTA_W
R=4.25; %定义曲面底部半径 HR;/Br
d=1; %设置透镜前方平板高度 q.-y)C) ;
n=1.4935; %定义材料折射率 }KK2WJp#M
dividing_angle=24; %定义Core与TIR的分界角 M(qxq(#{U
min_angle=1; %设置计算精度 92!JKZe
N=4; %设定拟合非球面系数阶数 >Y}7[XK
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% The Second Step:Caculate induced variable W@l+ciZ_
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); yc*<:(p
num_Core=length(angles_Core);num_TIR=length(angles_TIR); ?$3r5sx
for i=1:(num_Core) 6^Ph '
a_Core(i)=(angles_Core(i)*pi/180); Y5HfN[u^7
k1(i)=cot(a_Core(i)); I[ai:
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ,!`SY)
end N;<//,
k1(num_Core)=999;k2(num_Core)=0; fCB:733H
for i=1:num_TIR CoJ55TAW
a_TIR(i)=(angles_TIR(i)*pi/180); xS"$g9o0
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); WM/#.
k4(i)=tan(asin(cos(a_TIR(i))/n)); $'^&\U~?
end O7v]p
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); qtHfz"p
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% The Third Step:Solve functions _().t5<
for i=1:num_Core %Solve the curve of Core JX{KYU
syms x; ~wTX>qV
f1=k1(i)*x; <{giHT
f2=k2(i)*(x-X0_Core)+Y0_Core; N=#4L$@-
f=f1-f2; 7$
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x=double(solve(f));y=k1(i)*x; ^;zWWg/d
X0_Core=x;Y0_Core=y; y?>#t^
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; e&2wdH&
end vh
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for i=1:num_TIR %Solve the curve of TIR \83sSw
syms x; 1i
u =Y
f1=k3(i)*(x-X0_TIR)+Y0_TIR; \OcMiuw
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); Z v4<b
f=f1-f2; O-j$vzHpdY
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; E:FO_R(Xq
X0_TIR=x;Y0_TIR=y; J='W+=N
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; "V3}t4
end JvkL37^n:
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% The furth Step:Fitting the curve )Pli})
P_Core=polyfit(Px_Core,Py_Core,4); &3Tx@XhO
P_TIR=polyfit(Px_TIR,Py_TIR,4); ?>V6P_r>
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% The fifth Step:Feedback chief dimensions of the lens and Create it 7 jjU
%Feedback dimensions of the whole lens t[EfOQ
result='透镜尺寸如下:' 8.?E[~
Diameter_of_lens=2*Px_TIR(num_TIR) fYBH)E
Thickness_of_lens=Py_TIR(num_TIR)+d ' "'Btxz
Diameter_of_Core=2*r ID4~Gn
Thickness_of_front_pannel=d f7J,&<<5w
Bottom_thickness=R-r r~8;kcu7
Lowest_Core=P_Core(5) `U{mbw,
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%Feedback dimensions of Lens part TIR .$Bwb/a
result='TIR系数如下:' B,_`btJh
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d .+E#q&=
Aperture=Px_TIR(num_TIR) LmQ/#Gx
Obstruction=r z/1{OL
Position=P_TIR(5) aI(>]sWJ
format short e; gi]ZG
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] |;u}sX1t9
format short; =Ikg.jYq&F
f-g1[!"F
%DDE Connection R#(G%66
TP_COMMAND = ddeinit('TracePro','Scheme'); @T&t.|`
%Create TIR H{V)g
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)))']; 3]U]?h
ddeexec(TP_COMMAND,cmd); +y&d;0!
cmd =['(entity:move TIR 0 0 -2.3712)']; Y)XvlfJ,h?
ddeexec(TP_COMMAND,cmd); Pl+xH%U+?
cmd =['(property:apply-name TIR "TIR")']; j'GtgT
ddeexec(TP_COMMAND,cmd); n.hElgkUOr
kIvvEh<L=
%Feedback dimensions of Lens part TIR phP>3f.T
result='Core系数如下:' KWhZ +i`
Thickness=Py_TIR(num_TIR)-P_Core(5)+d Ht[{ryTxu
Aperture=r }nud
Obstruction='None' jtKn3m7 +p
Position=P_Core(5) a3@w|KLt
format short e; |d7$*7TvV
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 44sy`e
format short; O8|*M "
%Create Core `cr(wdvI
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002 1.9124e-001 -1.7949e-002 2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; ._CP%
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ddeexec(TP_COMMAND,cmd); 7*s8ttX
cmd =['(entity:move Core 0 0 5.9493)']; v27Ja .tA
ddeexec(TP_COMMAND,cmd); &uM^0eM
cmd =['(property:apply-name Core "Core")']; t`|,6qEG
ddeexec(TP_COMMAND,cmd); nl1-kB)$e|
& ,L9O U
%Create Lens op7FZHs
cmd =['(define Unite (bool:unite TIR Core))']; Yck~xt&]
ddeexec(TP_COMMAND,cmd); 8Fq_i-u
cmd =['(define block (insert:block 100 100 100))']; <]G${y*;
ddeexec(TP_COMMAND,cmd); naNyGE7)
cmd =['(entity:move block 0 0 -50)']; XU-m"_t
ddeexec(TP_COMMAND,cmd); mlu 3K
cmd =['(define Lens (bool:subtract Unite block))']; R,Oe$J<
ddeexec(TP_COMMAND,cmd); %<Q*Jf
cmd =['(property:apply-name Lens "Lens")']; $'"8QOnJ?k
ddeexec(TP_COMMAND,cmd); ~}% ~oT
1u}nm;3
%Close the DDE connection oRq!=eUu_
ddeterm(TP_COMMAND); AQ{zx1^2>K