程序如下: :nh_k4S@v
% By Ruibin 08-9-25 wu7Lk3
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. Pnk5mK$
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clear all;clc BHIRHmM<Y
%oF}HF.
% The Frist Step: Define independent parameters @GPCwE1
r=3.25; %选择开孔半径 spGb!Y`mR
R=4.25; %定义曲面底部半径 ?L5zC+c!
d=1; %设置透镜前方平板高度 )YYf1o[+
n=1.4935; %定义材料折射率 tnV/xk#!
dividing_angle=24; %定义Core与TIR的分界角 e{h<g>7
min_angle=1; %设置计算精度 y_'Ub{w
N=4; %设定拟合非球面系数阶数 7yG#Z)VE
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% The Second Step:Caculate induced variable "$~':) V"
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); :I"2V
num_Core=length(angles_Core);num_TIR=length(angles_TIR); Z EXc%-M
for i=1:(num_Core) G|[ =/>~B
a_Core(i)=(angles_Core(i)*pi/180); \(3y7 D
k1(i)=cot(a_Core(i)); xN>npP
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); Hta y-PB }
end e2L0VXbb
k1(num_Core)=999;k2(num_Core)=0; #=D) j
for i=1:num_TIR wc0jhHZO
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a_TIR(i)=(angles_TIR(i)*pi/180); u9:`4b
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); teOe#*
k4(i)=tan(asin(cos(a_TIR(i))/n)); <m!h&_eg
end -<c=US
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); @D)al^]x6
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% The Third Step:Solve functions Qwz}B
for i=1:num_Core %Solve the curve of Core Bt[/0>i
syms x; _ftI*ni:<
f1=k1(i)*x; ^aIPN5CK
f2=k2(i)*(x-X0_Core)+Y0_Core; 9TU88]
f=f1-f2; n?oW < &
x=double(solve(f));y=k1(i)*x; 1 da@3xaF
X0_Core=x;Y0_Core=y; MV!{j;g1<
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ylUrLQ\
end t$+?6E
for i=1:num_TIR %Solve the curve of TIR w _u\p a
syms x; l+3[ KCE
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Q0$8j-1I
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); :f Kl]XO
f=f1-f2; V
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x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 6T>mW#E&
X0_TIR=x;Y0_TIR=y; A_n7w
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; r~[Ia!U ?
end HPpR.
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% The furth Step:Fitting the curve ~)*,S^k(C.
P_Core=polyfit(Px_Core,Py_Core,4); Pl(Q,e7O]
P_TIR=polyfit(Px_TIR,Py_TIR,4); SD#]$v
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% The fifth Step:Feedback chief dimensions of the lens and Create it r}Ohkr
%Feedback dimensions of the whole lens MU>k,:[
result='透镜尺寸如下:' bf0+DvIB
Diameter_of_lens=2*Px_TIR(num_TIR) K7$x<5 +)
Thickness_of_lens=Py_TIR(num_TIR)+d J`^ag'
Diameter_of_Core=2*r :WC2Ax7$2
Thickness_of_front_pannel=d )js)2L~
Bottom_thickness=R-r 8][nmjk0
Lowest_Core=P_Core(5) 3E7ULK
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%Feedback dimensions of Lens part TIR kSC}aN'
result='TIR系数如下:' vVj
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d eeIhed9
Aperture=Px_TIR(num_TIR) .ELGWF`>
Obstruction=r dL:-Y.?0M
Position=P_TIR(5) rMXN[,|v
format short e; KgV3j]d
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 2*rH?dz8E
format short; PEc,l>u9
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%DDE Connection k-Q%.o
TP_COMMAND = ddeinit('TracePro','Scheme'); QFfK0X8cC
%Create TIR KuWWUjCE
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)))']; 4f@o mAM
ddeexec(TP_COMMAND,cmd); r$5i Wu
cmd =['(entity:move TIR 0 0 -2.3712)']; Y_}mYvJW
ddeexec(TP_COMMAND,cmd); f6 |KN+.
cmd =['(property:apply-name TIR "TIR")']; |]QqXE-7
ddeexec(TP_COMMAND,cmd); d#6`&MR
FE" y\2}
%Feedback dimensions of Lens part TIR X7[^s
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result='Core系数如下:' "~E[)^ANxD
Thickness=Py_TIR(num_TIR)-P_Core(5)+d S2n39 3
Aperture=r .id)VF-l
Obstruction='None' ;V^ 112|C
Position=P_Core(5) ~SQ?BoCI[
format short e; Ny_lrfh) [
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] {zQS$VhXr
format short; 'iy*^A `Y
%Create Core Z -,J)gW
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)))']; M@h|bN
ddeexec(TP_COMMAND,cmd); 5'0xz.)!
cmd =['(entity:move Core 0 0 5.9493)']; YRv&1!VLE
ddeexec(TP_COMMAND,cmd); TqNadHQ
cmd =['(property:apply-name Core "Core")']; &P.4(1sC
ddeexec(TP_COMMAND,cmd); W-Fu -Cz=
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%Create Lens >*@y8u*
cmd =['(define Unite (bool:unite TIR Core))']; )v]/B+
ddeexec(TP_COMMAND,cmd); 6Ztq
cmd =['(define block (insert:block 100 100 100))']; ,\X@~j
ddeexec(TP_COMMAND,cmd); ub7zA!%
cmd =['(entity:move block 0 0 -50)']; >:zK?(qu,N
ddeexec(TP_COMMAND,cmd); *"WDb|PBb
cmd =['(define Lens (bool:subtract Unite block))']; H(2!1?N+
ddeexec(TP_COMMAND,cmd); tBNoI
cmd =['(property:apply-name Lens "Lens")']; 1J6,]M
ddeexec(TP_COMMAND,cmd); xO1[>W
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%Close the DDE connection iZPCNS"
ddeterm(TP_COMMAND); R-NS,i={