程序如下： L@6]~[JvP
% By Ruibin 08-9-25 NFEr ,n
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. *Ic^9njt
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clear all;clc z|%Pi J ,
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% The Frist Step: Define independent parameters ki@C}T5
r=3.25; %选择开孔半径 .9B@w+=6
R=4.25; %定义曲面底部半径 C{uT 1`
d=1; %设置透镜前方平板高度 mR@d4 (:J?
n=1.4935; %定义材料折射率 r2.w4RMFua
dividing_angle=24; %定义Core与TIR的分界角 T:{r*zLSN
min_angle=1; %设置计算精度 jF}kV%E
N=4; %设定拟合非球面系数阶数 GEf=A.WAfw
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% The Second Step：Caculate induced variable 1Xm>nF~
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); ROQ]sQpk
num_Core=length(angles_Core);num_TIR=length(angles_TIR); Tf]ou5 |
for i=1:(num_Core) Ru*gbv,U
a_Core(i)=(angles_Core(i)*pi/180); [[A O6.Z
k1(i)=cot(a_Core(i)); JP6 Noia
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); $RY GAh
end L{F]uz_[x
k1(num_Core)=999;k2(num_Core)=0; j0 {`7n
for i=1:num_TIR %?gG-R
a_TIR(i)=(angles_TIR(i)*pi/180); !P EKMDh
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); |w*s:p
k4(i)=tan(asin(cos(a_TIR(i))/n)); !10 /M
end :AztHf?X
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); | L Q%sV
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% The Third Step:Solve functions vMou`[\WlJ
for i=1:num_Core %Solve the curve of Core BX[ IWP\%
syms x; _p0Yhju?
f1=k1(i)*x; qX-5/;n
f2=k2(i)*(x-X0_Core)+Y0_Core; hui
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f=f1-f2; eu$VKLY*
x=double(solve(f));y=k1(i)*x; N^[
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X0_Core=x;Y0_Core=y; ]i`Q+q[
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; TC yev[(
end TU~y;:OJ
for i=1:num_TIR %Solve the curve of TIR c{y'&3\
syms x; zi6J|u
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ^lV}![do!
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); Kj
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f=f1-f2; +yf UB8Xw
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; }a5TY("d9H
X0_TIR=x;Y0_TIR=y; ^z)De+,!4
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; IW<rmP=R&
end 7:vl -ZW
.cs x"JC
% The furth Step:Fitting the curve o}KVT% }
P_Core=polyfit(Px_Core,Py_Core,4); i&6U5Va,G
P_TIR=polyfit(Px_TIR,Py_TIR,4); TM#L.xPMf
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% The fifth Step:Feedback chief dimensions of the lens and Create it 1 PdG1'
%Feedback dimensions of the whole lens ?o +%ckH
result='透镜尺寸如下：' >^g2 Tg:
Diameter_of_lens=2*Px_TIR(num_TIR) J{\U w].|0
Thickness_of_lens=Py_TIR(num_TIR)+d hizM}d-"C
Diameter_of_Core=2*r )G G9[%H!
Thickness_of_front_pannel=d 56s%Qlgx
Bottom_thickness=R-r
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Lowest_Core=P_Core(5) RDDA^U7y#
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%Feedback dimensions of Lens part TIR +?"F=.SZ
result='TIR系数如下：' \v-I<"::
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d d5A e67
Aperture=Px_TIR(num_TIR) Xv!Gg6v6
Obstruction=r qtAt=` s
Position=P_TIR(5) GBBr[}y-
format short e; t6+W
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] xP_%d,
format short; N(4y}-w$
6}R*7iM s
%DDE Connection 9;{(.K
TP_COMMAND = ddeinit('TracePro','Scheme'); BSHS)_x s
%Create TIR c$ib-
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; &)Qq%\EP4
ddeexec(TP_COMMAND,cmd); BrSvkce
cmd =['(entity:move TIR 0 0 -2.3712)']; e'$[PF
ddeexec(TP_COMMAND,cmd); dcmf~+T
cmd =['(property:apply-name TIR "TIR")']; g4,ldr"D
ddeexec(TP_COMMAND,cmd); 'q:7PkN!p
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%Feedback dimensions of Lens part TIR v+{{j|x=
result='Core系数如下：' %eofG ]VM<
Thickness=Py_TIR(num_TIR)-P_Core(5)+d %D#&RS
Aperture=r &D{!zF
Obstruction='None' 9VTAs:0D=
Position=P_Core(5) %"(HjanH
format short e; *8,W$pe3
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] P]^OSPRg
format short; GNM>hQ)h:
%Create Core |k}L =oWE
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)))']; D
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ddeexec(TP_COMMAND,cmd); g9 ^\Q Yh!
cmd =['(entity:move Core 0 0 5.9493)']; 3]kM&lK5\
ddeexec(TP_COMMAND,cmd); o S%(~])\
cmd =['(property:apply-name Core "Core")']; U { 0~&
ddeexec(TP_COMMAND,cmd); oZ/"^5
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%Create Lens D<FQVdP
cmd =['(define Unite (bool:unite TIR Core))']; *j&\5|^V
ddeexec(TP_COMMAND,cmd); lbt8S.fx
cmd =['(define block (insert:block 100 100 100))']; bs\k b-\R
ddeexec(TP_COMMAND,cmd); rz&V .,s
cmd =['(entity:move block 0 0 -50)']; RjviHd#DXn
ddeexec(TP_COMMAND,cmd); Pf4zjc
cmd =['(define Lens (bool:subtract Unite block))']; iT{4-j7|P4
ddeexec(TP_COMMAND,cmd); c3l(,5DtH
cmd =['(property:apply-name Lens "Lens")']; hY{4_ie=8
ddeexec(TP_COMMAND,cmd); N`IXSE
\H>T[
%Close the DDE connection /q>ExX sEC
ddeterm(TP_COMMAND); ;0kAm
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