程序如下: $Ith8p~
% By Ruibin 08-9-25 $oo`]R_
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ?RMOy$L
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clear all;clc Ed>Dhy6\r
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% The Frist Step: Define independent parameters O^L#(8bC
r=3.25; %选择开孔半径 sx]kH$
R=4.25; %定义曲面底部半径 )o;oOPT!
d=1; %设置透镜前方平板高度 [dXpz^Co
n=1.4935; %定义材料折射率 <aPbKDF~V
dividing_angle=24; %定义Core与TIR的分界角 N}/|B}
min_angle=1; %设置计算精度 `Vf k.OP
N=4; %设定拟合非球面系数阶数 5Xr<~xr
c?/R=/H
% The Second Step:Caculate induced variable +{5y,0R
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); h8)m2KrZ!.
num_Core=length(angles_Core);num_TIR=length(angles_TIR); vUNmN2pRJ
for i=1:(num_Core) zQ=c6xvm8
a_Core(i)=(angles_Core(i)*pi/180); T!F0_<
k1(i)=cot(a_Core(i)); fp)%Cr
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); Y48MCL
end <j<V{Wc
k1(num_Core)=999;k2(num_Core)=0; |l#<vw
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for i=1:num_TIR h@H8oZ[
a_TIR(i)=(angles_TIR(i)*pi/180); j]X$7
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); <=g{E-
k4(i)=tan(asin(cos(a_TIR(i))/n)); L#>^R
end )zK6>-KWA
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); i*\\j1mf
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% The Third Step:Solve functions `({Bi!%i
for i=1:num_Core %Solve the curve of Core ~0T;T
syms x; /9 ^F_2'_
f1=k1(i)*x; %vZTD+i
f2=k2(i)*(x-X0_Core)+Y0_Core; }QzF.![~z
f=f1-f2; n]Z() "D
x=double(solve(f));y=k1(i)*x; YKV?I
X0_Core=x;Y0_Core=y; IBn+42V
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; :5DL&,,Q3
end = 9K5f#;e
for i=1:num_TIR %Solve the curve of TIR .I#ss66h
syms x; &9ZrZ"]
f1=k3(i)*(x-X0_TIR)+Y0_TIR; m.g2>r`NU
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); Gdu5
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f=f1-f2; 5?=haGn
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; $E,,::oJ
X0_TIR=x;Y0_TIR=y; t8:QK9|1
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; >K@Y8J+e#
end vS1#ien#
5%#V>|@e#
% The furth Step:Fitting the curve KM:k<pvi
P_Core=polyfit(Px_Core,Py_Core,4); N7l`-y
P_TIR=polyfit(Px_TIR,Py_TIR,4); a@v}j&
q,%lG$0v
% The fifth Step:Feedback chief dimensions of the lens and Create it h|Ah\P?o
%Feedback dimensions of the whole lens ,l )7]p*X
result='透镜尺寸如下:' OC5\3H
Diameter_of_lens=2*Px_TIR(num_TIR) 7E]qP
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Thickness_of_lens=Py_TIR(num_TIR)+d Pz77\DpFi
Diameter_of_Core=2*r l RM7s(^l
Thickness_of_front_pannel=d bSvr8FY3d
Bottom_thickness=R-r D~T;z pS
Lowest_Core=P_Core(5) :oeDksld
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%Feedback dimensions of Lens part TIR Q| _e=
result='TIR系数如下:' 5fjL
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d AQU^7O
Aperture=Px_TIR(num_TIR) !V O^oD7
Obstruction=r ~bnyk%S
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Position=P_TIR(5) (Z |Nz *<
format short e; 3vC"Q!J&
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] {?YBJnG}x
format short; ?qJt4Om
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%DDE Connection m3']/}xHO
TP_COMMAND = ddeinit('TracePro','Scheme'); my+2@ln
%Create TIR &peUC n
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; w'Vm'zo
ddeexec(TP_COMMAND,cmd); bD:[r))#e
cmd =['(entity:move TIR 0 0 -2.3712)']; s,|"s|P
ddeexec(TP_COMMAND,cmd); e anR$I;Yj
cmd =['(property:apply-name TIR "TIR")']; |x+g5~$
ddeexec(TP_COMMAND,cmd); kb~;s-$O`s
;^f ;<
%Feedback dimensions of Lens part TIR t#N@0kIX.
result='Core系数如下:' CwdeW.A"j
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ; nc3O{rU
Aperture=r sg9
Obstruction='None' A?+cdbxJw
Position=P_Core(5) pybE0]
format short e; Z!foD^&R
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] TJ_pMU
format short; 8~j1
%Create Core M;j)F
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002 1.9124e-001 -1.7949e-002 2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; "STd ;vR
ddeexec(TP_COMMAND,cmd); T8W;Lb9hQ
cmd =['(entity:move Core 0 0 5.9493)']; e.Gjp{
ddeexec(TP_COMMAND,cmd);
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cmd =['(property:apply-name Core "Core")']; TMw6
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ddeexec(TP_COMMAND,cmd); ,TlYQ/j%h
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%Create Lens 1%$Z%?
cmd =['(define Unite (bool:unite TIR Core))']; IcJQC
ddeexec(TP_COMMAND,cmd); t b>At*tO
cmd =['(define block (insert:block 100 100 100))']; r0/aw
ddeexec(TP_COMMAND,cmd); ?^gq
cmd =['(entity:move block 0 0 -50)']; zFm:=,9
ddeexec(TP_COMMAND,cmd); rGmxK|R
cmd =['(define Lens (bool:subtract Unite block))']; wzf
ddeexec(TP_COMMAND,cmd); vX}#wDNP
cmd =['(property:apply-name Lens "Lens")']; 36MNaQt'e
ddeexec(TP_COMMAND,cmd); ,(;]8G-Yj
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%Close the DDE connection Px?zih!6
ddeterm(TP_COMMAND); FjV)QP H