程序如下: WZn;u3,R
% By Ruibin 08-9-25 fh3uo\`@
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. .Z'NH
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clear all;clc jT$J~MpHh
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% The Frist Step: Define independent parameters JxwKTFU'3O
r=3.25; %选择开孔半径 CEkUXsp
R=4.25; %定义曲面底部半径 s|A[HQUtJ
d=1; %设置透镜前方平板高度 \V!{z;.fA
n=1.4935; %定义材料折射率 k<Gmb~Tg1
dividing_angle=24; %定义Core与TIR的分界角 0$c(<+D
min_angle=1; %设置计算精度 A03io8D6
N=4; %设定拟合非球面系数阶数 yP# Y:s
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% The Second Step:Caculate induced variable @(35I
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); xok
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num_Core=length(angles_Core);num_TIR=length(angles_TIR); i6k6l%
for i=1:(num_Core) 8Cp@k=
a_Core(i)=(angles_Core(i)*pi/180); A :KZyd"Z
k1(i)=cot(a_Core(i)); qhvT,"
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ]tT=jN&(
end LYL_Ah'=
k1(num_Core)=999;k2(num_Core)=0; &.DRAD)
for i=1:num_TIR u9KT_`
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a_TIR(i)=(angles_TIR(i)*pi/180); iYvzZ7
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k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); EC8Z. Uu
k4(i)=tan(asin(cos(a_TIR(i))/n)); FCEmg0qdjD
end !KOa'Ic$V
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); $Z]@N
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% The Third Step:Solve functions cL*oO@I&_
for i=1:num_Core %Solve the curve of Core !9NF@e'&!
syms x; '+{yg+#/wV
f1=k1(i)*x; R|8L'H+1x
f2=k2(i)*(x-X0_Core)+Y0_Core; .rO~a.kG
f=f1-f2; syg{qtBz^
x=double(solve(f));y=k1(i)*x; 0]*W0#{Zj
X0_Core=x;Y0_Core=y;
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Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; Q njK<}M9
end YYFS
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for i=1:num_TIR %Solve the curve of TIR _F[a2PE2+
syms x; KzV|::S^
f1=k3(i)*(x-X0_TIR)+Y0_TIR; de2G"'F
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); "]G'^
f=f1-f2; Io JI|lP
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; B,_K mHItd
X0_TIR=x;Y0_TIR=y; C}<e3BXc
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; dl8f]y#Q
end BNjMq
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% The furth Step:Fitting the curve p<'pqf
P_Core=polyfit(Px_Core,Py_Core,4); 7K.],eo0
P_TIR=polyfit(Px_TIR,Py_TIR,4); t^K Qv~
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% The fifth Step:Feedback chief dimensions of the lens and Create it 3GKKC9C6
%Feedback dimensions of the whole lens @.a59kP8X
result='透镜尺寸如下:' *rw6?u9I
Diameter_of_lens=2*Px_TIR(num_TIR) 8(Ptse
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Thickness_of_lens=Py_TIR(num_TIR)+d m%})H"5
Diameter_of_Core=2*r m?yztm~u
Thickness_of_front_pannel=d r`sKe
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Bottom_thickness=R-r 0iM'),v[]
Lowest_Core=P_Core(5) 6(7{|iY
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%Feedback dimensions of Lens part TIR {aV,h@>
result='TIR系数如下:' n(# yGzq
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d g||
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Aperture=Px_TIR(num_TIR) ;Dp*.YJ
Obstruction=r p|nPu*R-\
Position=P_TIR(5) VhLfSN>W
format short e; q%q+2P>
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] Z]{=Jy!F
format short; X=f %!
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%DDE Connection "AXgT[ O
TP_COMMAND = ddeinit('TracePro','Scheme'); S2|pn\0V
%Create TIR @>$qb|j
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)))']; 2 f%+1uU
ddeexec(TP_COMMAND,cmd); t+F_/_"B
cmd =['(entity:move TIR 0 0 -2.3712)']; J9tV|0
ddeexec(TP_COMMAND,cmd); vJi<PQ6
cmd =['(property:apply-name TIR "TIR")']; j~.tyxOq#
ddeexec(TP_COMMAND,cmd); -&1P2m/46
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%Feedback dimensions of Lens part TIR l?_Fy_fBt
result='Core系数如下:' tj*0Y-F~
Thickness=Py_TIR(num_TIR)-P_Core(5)+d gzvgXZ1q"
Aperture=r [OOQ0c~
Obstruction='None' 4Ng:7C2
Position=P_Core(5) )f^^hEIS
format short e; AFBWiuwI3
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] P~lU`.X}
format short; Yc6.v8a
%Create Core icIWv
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)))']; hg<[@Q%$o
ddeexec(TP_COMMAND,cmd); .]4MtG
cmd =['(entity:move Core 0 0 5.9493)']; 2/A*\
ddeexec(TP_COMMAND,cmd); `S-%}eUv
cmd =['(property:apply-name Core "Core")']; uJ0'`Q?6R9
ddeexec(TP_COMMAND,cmd); HrZX~JnTmf
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%Create Lens jK[*_V
cmd =['(define Unite (bool:unite TIR Core))']; yDZm)|<.
ddeexec(TP_COMMAND,cmd); aY.cx1"
cmd =['(define block (insert:block 100 100 100))']; cl4_M{~
ddeexec(TP_COMMAND,cmd); jy>?+hm?
cmd =['(entity:move block 0 0 -50)']; (xTGt",_Jo
ddeexec(TP_COMMAND,cmd); hP.Km%C)0n
cmd =['(define Lens (bool:subtract Unite block))']; g2==`f!i
ddeexec(TP_COMMAND,cmd); -(lP8Y~gFY
cmd =['(property:apply-name Lens "Lens")']; ]o=ON95ja
ddeexec(TP_COMMAND,cmd); %;u"2L0@
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%Close the DDE connection w 2U302TZ
ddeterm(TP_COMMAND); ]2|fc5G'