程序如下： n1~o1
% By Ruibin 08-9-25 3^R&:|,
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. :A1{ d?B
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clear all;clc %<E$ ,w>
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% The Frist Step: Define independent parameters ^.#jF# u~
r=3.25; %选择开孔半径 ]vgB4~4#LP
R=4.25; %定义曲面底部半径 Pf|siC^;s~
d=1; %设置透镜前方平板高度 ;u;# g
n=1.4935; %定义材料折射率 y=`2\L" O
dividing_angle=24; %定义Core与TIR的分界角 vWRju*Z&
min_angle=1; %设置计算精度 IIg^FZ*]_
N=4; %设定拟合非球面系数阶数 1abtgD L
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% The Second Step：Caculate induced variable ])L
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angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); U 'R)x";=
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 5"HV BfFk
for i=1:(num_Core) 4"{ooy^Q
a_Core(i)=(angles_Core(i)*pi/180); O J/,pLYu
k1(i)=cot(a_Core(i)); G]fRk^~
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); V\u>"3BQw
end G>wqt@%r9
k1(num_Core)=999;k2(num_Core)=0; @c<3b2
for i=1:num_TIR zoOaVV& 1
a_TIR(i)=(angles_TIR(i)*pi/180); ,_yh z0.
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); &$]v h
k4(i)=tan(asin(cos(a_TIR(i))/n)); ! 'mq ?C=
end `|,`QqDQ
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); [* @5\NWR}
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% The Third Step:Solve functions nx8a$vI-TY
for i=1:num_Core %Solve the curve of Core I3 ,= 0z
syms x; P ^w#S
f1=k1(i)*x; }&n<uUD H
f2=k2(i)*(x-X0_Core)+Y0_Core; sYjpU
f=f1-f2; UG)8D5
x=double(solve(f));y=k1(i)*x; "NgxkbDEbG
X0_Core=x;Y0_Core=y; bKrhIU[
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; Ytz)d/3T
end qjf[zF
for i=1:num_TIR %Solve the curve of TIR TQx.KM>y
syms x; Au4yBm
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f1=k3(i)*(x-X0_TIR)+Y0_TIR; EGZb7:Y?
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ZJwrLV
f=f1-f2; ,!dh2xNH^
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; o'W5|Gy
X0_TIR=x;Y0_TIR=y; wQwQXNG
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; qQ"Fv|]~>
end ^go7_y
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% The furth Step:Fitting the curve q)Fq
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P_Core=polyfit(Px_Core,Py_Core,4); |4T !&[r
P_TIR=polyfit(Px_TIR,Py_TIR,4); TiYnc3Bz}J
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% The fifth Step:Feedback chief dimensions of the lens and Create it <Wp
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%Feedback dimensions of the whole lens |lJX 3
result='透镜尺寸如下：' A j2OkD
Diameter_of_lens=2*Px_TIR(num_TIR) ,`gl&iB
Thickness_of_lens=Py_TIR(num_TIR)+d =0G!f$7^i
Diameter_of_Core=2*r hRt y [
Thickness_of_front_pannel=d .G+Pe'4a
Bottom_thickness=R-r H63,bNS s
Lowest_Core=P_Core(5) w9, iq@
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%Feedback dimensions of Lens part TIR Kj<^zo% w
result='TIR系数如下：' L{(QpgHZ
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d mml<9fbH
Aperture=Px_TIR(num_TIR) #|*F1K
Obstruction=r _cc#Qlw 7
Position=P_TIR(5) Y] L9Y9
format short e; G3rj`Sg^c
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] R,|d`)T
format short; rFC" Jx
E h|]i;G%
%DDE Connection <o+< H
TP_COMMAND = ddeinit('TracePro','Scheme'); d)pV;6%[$q
%Create TIR P&b19 K'
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)))']; I_xX Dr
ddeexec(TP_COMMAND,cmd); >2]JXLq
cmd =['(entity:move TIR 0 0 -2.3712)']; >lBD<;T
ddeexec(TP_COMMAND,cmd); N_pJk2E
cmd =['(property:apply-name TIR "TIR")']; s 1e:v+B]
ddeexec(TP_COMMAND,cmd); # g_Bx
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%Feedback dimensions of Lens part TIR :dLAs@z
result='Core系数如下：' >2< 8kBF_
Thickness=Py_TIR(num_TIR)-P_Core(5)+d :% sXO
Aperture=r $dA-2e1 0
Obstruction='None' i:u1s"3~
Position=P_Core(5) CT1ja.\;
format short e; gS:A'@&
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] X`fn8~5
format short; QK+(g,)_86
%Create Core KyzFnVH3)
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)))']; <x&%~6j
ddeexec(TP_COMMAND,cmd); G 2mX ;
cmd =['(entity:move Core 0 0 5.9493)'];
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ddeexec(TP_COMMAND,cmd); i: Zm*+Gi
cmd =['(property:apply-name Core "Core")']; F35#dIs`&
ddeexec(TP_COMMAND,cmd); $*kxTiG!7
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%Create Lens %s&ChM?8F
cmd =['(define Unite (bool:unite TIR Core))']; ($L Ll;1
ddeexec(TP_COMMAND,cmd); 1*dRK6
cmd =['(define block (insert:block 100 100 100))']; <}sq?Sfq!
ddeexec(TP_COMMAND,cmd); !YP @m~
cmd =['(entity:move block 0 0 -50)']; E=cwq"
ddeexec(TP_COMMAND,cmd); P1NJ^rX
cmd =['(define Lens (bool:subtract Unite block))']; Ton94:9bZ
ddeexec(TP_COMMAND,cmd); P0$e~=Q^4
cmd =['(property:apply-name Lens "Lens")']; PI*82,f3dE
ddeexec(TP_COMMAND,cmd); [p2H=
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%Close the DDE connection sYdRh?Hq
ddeterm(TP_COMMAND); ua OKv.%
