程序如下: 7da~+(yhr
% By Ruibin 08-9-25 6;p"xC-
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. wOr pp3I
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clear all;clc ]tc
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% The Frist Step: Define independent parameters <-N7Skkk!
r=3.25; %选择开孔半径 sp&g
R=4.25; %定义曲面底部半径 V
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d=1; %设置透镜前方平板高度 4S*7*ak{
n=1.4935; %定义材料折射率 h45RwQ5Z
dividing_angle=24; %定义Core与TIR的分界角 Dt
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min_angle=1; %设置计算精度 \5R>+[n!
N=4; %设定拟合非球面系数阶数 %)PQomn?
DP=\FG"}x
% The Second Step:Caculate induced variable L]QBh\
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); 7&*d]#&~j
num_Core=length(angles_Core);num_TIR=length(angles_TIR); w_9[y
for i=1:(num_Core) u!9bhL`
a_Core(i)=(angles_Core(i)*pi/180); vlx\hJ<I
k1(i)=cot(a_Core(i)); N7}yU~j^
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); mcLxX'c6<h
end }(v <f*7=n
k1(num_Core)=999;k2(num_Core)=0; >|_B=<!99W
for i=1:num_TIR &8@
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a_TIR(i)=(angles_TIR(i)*pi/180); .MI
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k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 8e}8@[h
k4(i)=tan(asin(cos(a_TIR(i))/n)); 5gbD|^ij
end A\T9>z^k
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); zJT,Hv .
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% The Third Step:Solve functions sT+\
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for i=1:num_Core %Solve the curve of Core y>|AX/n
syms x; 15wwu} X
f1=k1(i)*x; VQHQvFRZ)
f2=k2(i)*(x-X0_Core)+Y0_Core; ?PDrj/: *
f=f1-f2; +8|r_z\A5a
x=double(solve(f));y=k1(i)*x; g%2twq_
X0_Core=x;Y0_Core=y; AW/)R"+
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; Mp)|5<%
end F >co#
for i=1:num_TIR %Solve the curve of TIR }I
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syms x; -K U@0G
f1=k3(i)*(x-X0_TIR)+Y0_TIR; {pM3f
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); Cswa5l`af
f=f1-f2; IXt cHAgX
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; R4Si{J*O
X0_TIR=x;Y0_TIR=y; ^9xsbv
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Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 4{J'p19
end .}DL%E`n
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% The furth Step:Fitting the curve <]kifiN#
P_Core=polyfit(Px_Core,Py_Core,4); eKek~U&
P_TIR=polyfit(Px_TIR,Py_TIR,4); $,#,yl ol
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% The fifth Step:Feedback chief dimensions of the lens and Create it B)L;ja
%Feedback dimensions of the whole lens >W?7a:#,
result='透镜尺寸如下:' 2Ik@L,
Diameter_of_lens=2*Px_TIR(num_TIR) ljRR{HOl
Thickness_of_lens=Py_TIR(num_TIR)+d N6*v!M+
Diameter_of_Core=2*r Mq2[^l!qu
Thickness_of_front_pannel=d nO7#m~
Bottom_thickness=R-r wO3K2I]>0
Lowest_Core=P_Core(5) }t9A#GOz
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%Feedback dimensions of Lens part TIR 6N]V.;0_5
result='TIR系数如下:' _=68iDXm
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d 7{:g|dX
Aperture=Px_TIR(num_TIR) ,Jh('r7
Obstruction=r 6mbHfL>cO
Position=P_TIR(5) x8wal[6
format short e; SK_i 3?
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 7]6HXR @
format short; b1`(f"&l
hg=BXe4:
%DDE Connection {ei,>5K
TP_COMMAND = ddeinit('TracePro','Scheme'); #3o]Qo[Sc
%Create TIR *,=WaODO %
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)))']; 2e @zd\
ddeexec(TP_COMMAND,cmd); %xWscA%^u
cmd =['(entity:move TIR 0 0 -2.3712)']; %*wOJx
ddeexec(TP_COMMAND,cmd); zO07X*Bw
cmd =['(property:apply-name TIR "TIR")']; IfGQeynj
ddeexec(TP_COMMAND,cmd); W9ewj:4\0
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%Feedback dimensions of Lens part TIR Z/@%MEU[zl
result='Core系数如下:' Cq, hzi-
Thickness=Py_TIR(num_TIR)-P_Core(5)+d N}2xt)JZz
Aperture=r r`T(xJ!)
Obstruction='None' LYY|8)Nj2"
Position=P_Core(5) Q9
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format short e; h7H#sL[^
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] K?o} B
format short; Aa;s.:?
%Create Core H21\6 GY
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)))']; fC4D#
ddeexec(TP_COMMAND,cmd); `y!6(xI
cmd =['(entity:move Core 0 0 5.9493)']; Oy!j `
ddeexec(TP_COMMAND,cmd); ?>p<!:E!r
cmd =['(property:apply-name Core "Core")']; tT;=l[7%
ddeexec(TP_COMMAND,cmd); Q`]El<$
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%Create Lens i-EFq@xl
cmd =['(define Unite (bool:unite TIR Core))']; |,ZmRW^2K
ddeexec(TP_COMMAND,cmd);
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cmd =['(define block (insert:block 100 100 100))']; 3 TN?yP)
ddeexec(TP_COMMAND,cmd); `[;b#.
cmd =['(entity:move block 0 0 -50)']; *L9s7RR
ddeexec(TP_COMMAND,cmd); i cf[.
cmd =['(define Lens (bool:subtract Unite block))']; Eqg(U0k0
ddeexec(TP_COMMAND,cmd); /WVnyz0
cmd =['(property:apply-name Lens "Lens")']; [k9aY$baT^
ddeexec(TP_COMMAND,cmd); 2>l:: 8Pp
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%Close the DDE connection Aghcjy|j
ddeterm(TP_COMMAND); nuB@Fkr