程序如下: NvcHv7,
% By Ruibin 08-9-25 -zprNQW
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ?F1wh2oq
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clear all;clc 658\#x8|
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% The Frist Step: Define independent parameters @Eo4U]-
r=3.25; %选择开孔半径 NP "ylMr7P
R=4.25; %定义曲面底部半径 3Mw}R6g@#
d=1; %设置透镜前方平板高度 Im6U_JsNZh
n=1.4935; %定义材料折射率 &1=g A.ZR
dividing_angle=24; %定义Core与TIR的分界角 N50fL
min_angle=1; %设置计算精度 +B# qu/By
N=4; %设定拟合非球面系数阶数 RXM}hqeG
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% The Second Step:Caculate induced variable zFOL(s.h|0
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); W;.{]x.0
num_Core=length(angles_Core);num_TIR=length(angles_TIR); Uh*@BmDA
for i=1:(num_Core) NK~PcdGl
a_Core(i)=(angles_Core(i)*pi/180); {b2 aL7
k1(i)=cot(a_Core(i)); p/N 62G
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); w m19T7*L
end =C#*!N73
k1(num_Core)=999;k2(num_Core)=0; ( :iPm<
for i=1:num_TIR n_J5zQJ
a_TIR(i)=(angles_TIR(i)*pi/180); Gh'X.?3
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); ~ibF M5m
k4(i)=tan(asin(cos(a_TIR(i))/n)); >zFD$
end KYf;_C,$
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); AO $Wy@
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% The Third Step:Solve functions J)#S-ZB+'k
for i=1:num_Core %Solve the curve of Core ]'tJ
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syms x; @*SA$9/l
f1=k1(i)*x; !x8kB
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f2=k2(i)*(x-X0_Core)+Y0_Core; ^@K
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f=f1-f2; "ct58Y@
x=double(solve(f));y=k1(i)*x; <}cZi4l'
X0_Core=x;Y0_Core=y; -8/ JP
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 5~Q Tg
end S_$nCyaH2
for i=1:num_TIR %Solve the curve of TIR y`6\L$c
syms x; fQO
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f1=k3(i)*(x-X0_TIR)+Y0_TIR; *y?[<2"$
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); :s]\k%"
f=f1-f2; 12 -EDg/1
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; V,m3-=q
X0_TIR=x;Y0_TIR=y; [8TS"ph>
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; n_}aZB3;U
end }qL~KA{&
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% The furth Step:Fitting the curve V,vc_d?,_o
P_Core=polyfit(Px_Core,Py_Core,4); 4dD2{M
P_TIR=polyfit(Px_TIR,Py_TIR,4); Ok,HD7
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% The fifth Step:Feedback chief dimensions of the lens and Create it pr/'J!{^
%Feedback dimensions of the whole lens zQ_z7FJCB
result='透镜尺寸如下:' 8 ip^]
Diameter_of_lens=2*Px_TIR(num_TIR) #Skj#)I"
Thickness_of_lens=Py_TIR(num_TIR)+d m@[3~
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Diameter_of_Core=2*r 'gCZ'edM
Thickness_of_front_pannel=d `
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Bottom_thickness=R-r <S&]$?`{Wi
Lowest_Core=P_Core(5) >8(jW
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%Feedback dimensions of Lens part TIR KGD'mByt"
result='TIR系数如下:' #"<?_fao~
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d MO TE/JG
Aperture=Px_TIR(num_TIR) (-J<Vy]
Obstruction=r h;nQxmJ9
Position=P_TIR(5) 7DZTQUb"
format short e; `,P
>mp)uU
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] X|' 2R^V.
format short; +|0 t
kIX)oD}c
%DDE Connection
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TP_COMMAND = ddeinit('TracePro','Scheme'); @h9K
%Create TIR b` zET^F
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; .`+yo0O:
ddeexec(TP_COMMAND,cmd); 7D9]R#-K
cmd =['(entity:move TIR 0 0 -2.3712)']; 7f
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ddeexec(TP_COMMAND,cmd); c 6q/X*
cmd =['(property:apply-name TIR "TIR")']; wPgDy
ddeexec(TP_COMMAND,cmd); QtlT&|$
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%Feedback dimensions of Lens part TIR He<;4?:
result='Core系数如下:' a'A s
Thickness=Py_TIR(num_TIR)-P_Core(5)+d U!Mf]3
Aperture=r s??czM2O
Obstruction='None' lQ$+JX;n(y
Position=P_Core(5) A2BRbwr>
format short e; ?Sw /(}|m
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] A_F0\ EN*
format short; tah}^
%Create Core p6Gcts?,
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002 1.9124e-001 -1.7949e-002 2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; Eu4 &-i
ddeexec(TP_COMMAND,cmd); mLaCkn
cmd =['(entity:move Core 0 0 5.9493)']; 7>&1nBh. f
ddeexec(TP_COMMAND,cmd); 2LZS|fB9o
cmd =['(property:apply-name Core "Core")']; uY]T:UVk
ddeexec(TP_COMMAND,cmd); I^:F)a:
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%Create Lens [4\aYB 9N
cmd =['(define Unite (bool:unite TIR Core))']; U{HML|
ddeexec(TP_COMMAND,cmd); 9rS,?
cmd =['(define block (insert:block 100 100 100))']; &?r*p0MQC
ddeexec(TP_COMMAND,cmd); ,5w]\z
cmd =['(entity:move block 0 0 -50)']; UFf,+4q
ddeexec(TP_COMMAND,cmd); > Y]_K
cmd =['(define Lens (bool:subtract Unite block))']; xEC2@J
ddeexec(TP_COMMAND,cmd); mw"}8y
cmd =['(property:apply-name Lens "Lens")']; j.B>v\b_3
ddeexec(TP_COMMAND,cmd); x=vK
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^vW$XRnt
%Close the DDE connection hLo>R'@uN
ddeterm(TP_COMMAND); 1!1DuQ