程序如下: D L_{q6ZK
% By Ruibin 08-9-25 kScq#<Y&
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. x-k}RI
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clear all;clc oQ= Q}
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% The Frist Step: Define independent parameters aE6I|6W?
r=3.25; %选择开孔半径 Y&aFAjj
R=4.25; %定义曲面底部半径 nZa.3/7dJ
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 mHo}, |
dividing_angle=24; %定义Core与TIR的分界角 %^m6Q!
min_angle=1; %设置计算精度 zg&<HJO
N=4; %设定拟合非球面系数阶数 b w!;ZRK
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% The Second Step:Caculate induced variable 1vBR\!d?7
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); /E/J<
num_Core=length(angles_Core);num_TIR=length(angles_TIR); t5#IiPp
for i=1:(num_Core) Ns2M8
a_Core(i)=(angles_Core(i)*pi/180); !CROc}
k1(i)=cot(a_Core(i)); l [?o du4
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); OWFLw
end ywpk\
k1(num_Core)=999;k2(num_Core)=0; KFdTw{GlJ7
for i=1:num_TIR Qwb=N
a_TIR(i)=(angles_TIR(i)*pi/180); }s=D,_}m
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); v2:A 4Pd:+
k4(i)=tan(asin(cos(a_TIR(i))/n)); Tm5]M$)
end "o/:LCE
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1));
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% The Third Step:Solve functions <<gk<_7`
for i=1:num_Core %Solve the curve of Core WF<`CQ g[
syms x; Rz1&(_Ps
f1=k1(i)*x; zME75;{
f2=k2(i)*(x-X0_Core)+Y0_Core; u?Jw) `
f=f1-f2; o ^L3Xiv
x=double(solve(f));y=k1(i)*x; Eym<DPu$n
X0_Core=x;Y0_Core=y; i
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Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 6Yebc_, R
end f8kPbpV,
for i=1:num_TIR %Solve the curve of TIR ~;k-/Z"
syms x; NARW3\
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ULqnr@/FbK
f2=k4(i)*(x-r)+r*cot(a_TIR(i));
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f=f1-f2; 08{0i,Fs
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; V #W,}+_Sz
X0_TIR=x;Y0_TIR=y; X[:Hp`_$
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; %mPIr4$Pg
end qc\]~]H]r
okJ+Yl.[?7
% The furth Step:Fitting the curve m!5P5U
x
P_Core=polyfit(Px_Core,Py_Core,4); &U ]L@]x
P_TIR=polyfit(Px_TIR,Py_TIR,4); x?Doe`/6?
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% The fifth Step:Feedback chief dimensions of the lens and Create it R9nW5f
Nf
%Feedback dimensions of the whole lens 3JM0 m (
result='透镜尺寸如下:' sL|*0,#K
Diameter_of_lens=2*Px_TIR(num_TIR) 7J,j
Thickness_of_lens=Py_TIR(num_TIR)+d "2q}G16K
Diameter_of_Core=2*r /)Bk
r/
Thickness_of_front_pannel=d |u8IQR'B
Bottom_thickness=R-r 4Tgy2[D?q
Lowest_Core=P_Core(5) -iWt~
NrT!&>M
%Feedback dimensions of Lens part TIR dO}6zQ\
result='TIR系数如下:' Nw[TP
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Thickness=Py_TIR(num_TIR)-P_TIR(5)+d _0ki19rs
Aperture=Px_TIR(num_TIR) %!I7tR#;
Obstruction=r YKKZRlQo
Position=P_TIR(5) G#-t&gO3
format short e; 5xe}ljo
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] -/rP0h5#
format short; <dl:';@a-
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