程序如下： NqkRR$O
% By Ruibin 08-9-25 lk}R#n$
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. "%A/bv\u
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clear all;clc 9C-F%te7
@x tcjB9
% The Frist Step: Define independent parameters 2(5 wFc
r=3.25; %选择开孔半径 '#4ya=Ww
R=4.25; %定义曲面底部半径 kR-N9|>i
d=1; %设置透镜前方平板高度 bNevHKS
n=1.4935; %定义材料折射率 )}~k7bb}Y
dividing_angle=24; %定义Core与TIR的分界角 w{F8]N>0<
min_angle=1; %设置计算精度 uTbI\iq
N=4; %设定拟合非球面系数阶数 >`5iq.v
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% The Second Step：Caculate induced variable ;# EB0TK
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); }}cVPB7
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 9V.)=*0hp
for i=1:(num_Core) HpDU:m
a_Core(i)=(angles_Core(i)*pi/180); H3QAI sGS
k1(i)=cot(a_Core(i)); @K4} cP
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); R@=ve
%a-
end qoB
k1(num_Core)=999;k2(num_Core)=0; '} P )iS2
for i=1:num_TIR 8BE OE<
a_TIR(i)=(angles_TIR(i)*pi/180); x@v,qF$K
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); H#m)`=nZSZ
k4(i)=tan(asin(cos(a_TIR(i))/n)); OZ![9l
end V/"0'H\"1
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); ItYG9a
7 0lb6A
% The Third Step:Solve functions W E|L{
for i=1:num_Core %Solve the curve of Core bk2 HAG
syms x;
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f1=k1(i)*x; dvyE ._/v
f2=k2(i)*(x-X0_Core)+Y0_Core; Hi, _qlc+
f=f1-f2; TkWS-=lNH0
x=double(solve(f));y=k1(i)*x; 45/f}kvy
X0_Core=x;Y0_Core=y; kQ.atr`? e
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; w] [
;
end 9^v|~f
for i=1:num_TIR %Solve the curve of TIR 73Mh65
syms x; -CtA\< 7I
f1=k3(i)*(x-X0_TIR)+Y0_TIR; P:( ,l,}F8
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); /y@$|DI1
f=f1-f2; U+@yx>!
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; %[lX
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X0_TIR=x;Y0_TIR=y; F m h;d*IT
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; gWy 2$)
end 2?Q IK3"v
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% The furth Step:Fitting the curve [%P_
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P_Core=polyfit(Px_Core,Py_Core,4); FxM`$n~K
P_TIR=polyfit(Px_TIR,Py_TIR,4); <%>Q$b5
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% The fifth Step:Feedback chief dimensions of the lens and Create it 0u'2f`p*
%Feedback dimensions of the whole lens =<`9T_S 16
result='透镜尺寸如下：' %? X~,
Diameter_of_lens=2*Px_TIR(num_TIR) [g=yuVXNZZ
Thickness_of_lens=Py_TIR(num_TIR)+d G{+sC2
Diameter_of_Core=2*r Ln[R}qD
Thickness_of_front_pannel=d cFGP3Q4{
Bottom_thickness=R-r n$ 5,B*
Lowest_Core=P_Core(5) k-e_lSYk&c
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%Feedback dimensions of Lens part TIR )P:TVe9`
result='TIR系数如下：' e W\7X%I
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d wF?THkdFo
Aperture=Px_TIR(num_TIR) ^uIZs}=+
Obstruction=r rm2{PV<+d
Position=P_TIR(5) aODOc J N
format short e; U+~0m!|4
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] #jA|04w
format short; aWOApXJ
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%DDE Connection S@N&W&W#~
TP_COMMAND = ddeinit('TracePro','Scheme'); +;:i,`Lmg
%Create TIR .H7"nt^
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)))']; ,8+SQo #3
ddeexec(TP_COMMAND,cmd); CWCE}WU>4
cmd =['(entity:move TIR 0 0 -2.3712)']; "LP4)hr_`
ddeexec(TP_COMMAND,cmd); Wj.)wr!
cmd =['(property:apply-name TIR "TIR")']; c{|soc[#
ddeexec(TP_COMMAND,cmd); ^L]+e
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%Feedback dimensions of Lens part TIR a(d'iAU8^
result='Core系数如下：' H'?Bx>X
Thickness=Py_TIR(num_TIR)-P_Core(5)+d <w j2:Z0
Aperture=r /~J#c=
Obstruction='None' .LnXKRd{
Position=P_Core(5) dE/Vl/ :
format short e; @_1$
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Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] ;\4}Hcg
format short; ',m,wp `
%Create Core VI" ,E}
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)))']; >hB]T% '
ddeexec(TP_COMMAND,cmd); |],{kUIXO
cmd =['(entity:move Core 0 0 5.9493)']; o)"}DeV$&
ddeexec(TP_COMMAND,cmd); Tk.MtIs)V}
cmd =['(property:apply-name Core "Core")']; *v l_3S5_
ddeexec(TP_COMMAND,cmd); `!!A;G7Qg
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%Create Lens 'qQ DM_+
cmd =['(define Unite (bool:unite TIR Core))']; $ AG.<
ddeexec(TP_COMMAND,cmd); 4\Y=*X
cmd =['(define block (insert:block 100 100 100))']; MSRIG-
ddeexec(TP_COMMAND,cmd); jqb,^T|j;m
cmd =['(entity:move block 0 0 -50)']; 2/B(T5PY@
ddeexec(TP_COMMAND,cmd); nHyWb6
cmd =['(define Lens (bool:subtract Unite block))']; z7HC6{g% X
ddeexec(TP_COMMAND,cmd); g>OGh o
cmd =['(property:apply-name Lens "Lens")']; -}4 H'%Z(i
ddeexec(TP_COMMAND,cmd); clG3t
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rd%3eR?V
%Close the DDE connection ,_\h)R_
ddeterm(TP_COMMAND); I`Rxij z
