程序如下: {[2tG U9
% By Ruibin 08-9-25 c[VrC+e m
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. I?a8h`WS+
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clear all;clc #>8T*B
G HD^%)T5^
% The Frist Step: Define independent parameters LBiowd[
r=3.25; %选择开孔半径 CQdBf3q
R=4.25; %定义曲面底部半径 Tu]&^[B('
d=1; %设置透镜前方平板高度 \\jIl3Z
n=1.4935; %定义材料折射率 [}>#YPZ
dividing_angle=24; %定义Core与TIR的分界角 GR,J0LT
min_angle=1; %设置计算精度 C"6Amnj
N=4; %设定拟合非球面系数阶数 l8z%\p5cR
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% The Second Step:Caculate induced variable Kw)KA^KF
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); ,I]7g4~
num_Core=length(angles_Core);num_TIR=length(angles_TIR); >DL/..
for i=1:(num_Core) }wG,BB %N
a_Core(i)=(angles_Core(i)*pi/180); mc?';dEG
k1(i)=cot(a_Core(i)); O -G1})$
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); OCCEL9d
end 2G?$X?
k1(num_Core)=999;k2(num_Core)=0; qgtn5]A
for i=1:num_TIR 5O&d3;p'
a_TIR(i)=(angles_TIR(i)*pi/180); O@s{uZ|A6
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); Gz?2b#7v
k4(i)=tan(asin(cos(a_TIR(i))/n)); 8Jr1_a
end R2l[Q){!
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); /|?F)%v\
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% The Third Step:Solve functions n12UBvc}%
for i=1:num_Core %Solve the curve of Core I:i<>kG
syms x; 3YW=||;|Yg
f1=k1(i)*x; ZRnL_z~
f2=k2(i)*(x-X0_Core)+Y0_Core; V5AW&kfd
f=f1-f2; ACb/ITu
x=double(solve(f));y=k1(i)*x; r0\?WoF2C
X0_Core=x;Y0_Core=y; MAnp{
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; =h|wwQE
end '.Z4 hHX
for i=1:num_TIR %Solve the curve of TIR W5.Va.
syms x; ?g3 ]~;#
f1=k3(i)*(x-X0_TIR)+Y0_TIR; :I
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f2=k4(i)*(x-r)+r*cot(a_TIR(i)); DL {R|3{N
f=f1-f2; XX2h(-
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; {oUAP1V^
X0_TIR=x;Y0_TIR=y; =1Z;Ma<;
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; e3v5,.
end ,3HcCuT
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% The furth Step:Fitting the curve M4KWN'
P_Core=polyfit(Px_Core,Py_Core,4); D. Kqc
P_TIR=polyfit(Px_TIR,Py_TIR,4); m!O;>D
MR$>!Nlp
% The fifth Step:Feedback chief dimensions of the lens and Create it dlD ki.
%Feedback dimensions of the whole lens 4Po)xo
result='透镜尺寸如下:' !VP %v&jKm
Diameter_of_lens=2*Px_TIR(num_TIR) ~e">_;k6
Thickness_of_lens=Py_TIR(num_TIR)+d lw[e*q{s.
Diameter_of_Core=2*r Qx)Jtb0`V
Thickness_of_front_pannel=d ]]BOk
Bottom_thickness=R-r y3eHF^K+$
Lowest_Core=P_Core(5) TWd;EnNM
QA;!caNp
%Feedback dimensions of Lens part TIR syPWs57pH
result='TIR系数如下:' 2p!"p`b~
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d nfdq y)
Aperture=Px_TIR(num_TIR) uD9|.P}
Obstruction=r / i_ @
Position=P_TIR(5) T$+-IAE
format short e; L}sx<=8.m
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] jrMe G.e=D
format short; PdeBDFWD
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%DDE Connection r0]4=6U
TP_COMMAND = ddeinit('TracePro','Scheme'); D@oCP =m<
%Create TIR A,gEM4
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; +q<B.XxkA
ddeexec(TP_COMMAND,cmd); 9`Q<Yy"du
cmd =['(entity:move TIR 0 0 -2.3712)']; i38[hQR9a
ddeexec(TP_COMMAND,cmd); G?c-79]U
cmd =['(property:apply-name TIR "TIR")']; #Q"O4 b:8
ddeexec(TP_COMMAND,cmd); ^|MjJsn
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%Feedback dimensions of Lens part TIR .TJEUK
result='Core系数如下:' @A<PkpNL
Thickness=Py_TIR(num_TIR)-P_Core(5)+d PU<PhuMd
Aperture=r Cq)IayD@
Obstruction='None' ^wb:C[r!V
Position=P_Core(5) c]-*P7W
format short e; a>O9pX
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] Q Fm|-j
format short; ``VW;l{
%Create Core .
#lsic8]
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002 1.9124e-001 -1.7949e-002 2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; Iq7}
ddeexec(TP_COMMAND,cmd); 1 rs&74-
cmd =['(entity:move Core 0 0 5.9493)']; .xhK'}l[
ddeexec(TP_COMMAND,cmd); (6l+lru[
cmd =['(property:apply-name Core "Core")']; gKz(=
ddeexec(TP_COMMAND,cmd); U6E\AvbRn
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%Create Lens j]|U
cmd =['(define Unite (bool:unite TIR Core))']; 'H5M|c$s
ddeexec(TP_COMMAND,cmd); @Jm7^;9/
cmd =['(define block (insert:block 100 100 100))'];
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ddeexec(TP_COMMAND,cmd); "tjLc6Xl^
cmd =['(entity:move block 0 0 -50)']; qyC=(v
ddeexec(TP_COMMAND,cmd); ,Ys"W x
cmd =['(define Lens (bool:subtract Unite block))']; o8e?J\?
ddeexec(TP_COMMAND,cmd); G,Z^g|6
cmd =['(property:apply-name Lens "Lens")']; jZ`;Cy\<B
ddeexec(TP_COMMAND,cmd); ^7zu<lX
}_=eT]
%Close the DDE connection `qJw|u>YpJ
ddeterm(TP_COMMAND); z[`@}}Q