程序如下: j1HW._G
% By Ruibin 08-9-25 dGTsc/$
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. Fea(zJ_
FNId;
clear all;clc *k>n<p3dd
pcI uN
% The Frist Step: Define independent parameters e<q?e}>?
r=3.25; %选择开孔半径 RY*U"G0#w
R=4.25; %定义曲面底部半径 f'3$9x
d=1; %设置透镜前方平板高度 w:l
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n=1.4935; %定义材料折射率 ,wdD8ZT'Ip
dividing_angle=24; %定义Core与TIR的分界角 _oDz-
min_angle=1; %设置计算精度 HiJE}V;Vq
N=4; %设定拟合非球面系数阶数 {T ~#?v(
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% The Second Step:Caculate induced variable |IUWF%~^$+
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); XHGFf_kW_N
num_Core=length(angles_Core);num_TIR=length(angles_TIR); R_S.tT!
for i=1:(num_Core) , SnSW-P
a_Core(i)=(angles_Core(i)*pi/180); "Os_vlapHo
k1(i)=cot(a_Core(i)); R,=fv
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); SOvF[,+
end 4|#WFLo@
k1(num_Core)=999;k2(num_Core)=0; Nu~lsWyRI5
for i=1:num_TIR 0Z]!/AsC
a_TIR(i)=(angles_TIR(i)*pi/180); VTHH&$ZNq
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); _/<x
k4(i)=tan(asin(cos(a_TIR(i))/n)); @2v_pJy^
end KdbHyg<4
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); @49S`
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% The Third Step:Solve functions QUQ'3
for i=1:num_Core %Solve the curve of Core %3''}Y5
syms x; y Fq&8 x<X
f1=k1(i)*x; WvZ8/T'x
f2=k2(i)*(x-X0_Core)+Y0_Core; ^&Y#)II
f=f1-f2; ?p8_AL'RS
x=double(solve(f));y=k1(i)*x; )B8$<sv
X0_Core=x;Y0_Core=y; 4x[S\,20
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ~gRf:VXX=_
end mBON$sF|
for i=1:num_TIR %Solve the curve of TIR R]*K:~DM
syms x; i,9)\1R
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Q#[9|A9
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); CF5`-wj/#
f=f1-f2;
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x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; Aj]V`B:65
X0_TIR=x;Y0_TIR=y; Xh;#
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; v^+Sh|z/
end by/jYg)+
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% The furth Step:Fitting the curve Alw3\_X
P_Core=polyfit(Px_Core,Py_Core,4); ]- QA'Lq
P_TIR=polyfit(Px_TIR,Py_TIR,4); s.NGA.]$
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% The fifth Step:Feedback chief dimensions of the lens and Create it G+|` 2an
%Feedback dimensions of the whole lens y7Df_|Z
result='透镜尺寸如下:' x5 *!Wx
Diameter_of_lens=2*Px_TIR(num_TIR) mvT(.R ..s
Thickness_of_lens=Py_TIR(num_TIR)+d O/(xj2~$J
Diameter_of_Core=2*r tT?cBg{
Thickness_of_front_pannel=d 5iydZ
Bottom_thickness=R-r j]/RC(;?
Lowest_Core=P_Core(5) RF0HjgP
J!U}iD@occ
%Feedback dimensions of Lens part TIR QWHug:c
result='TIR系数如下:' o`N9!M
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d xAMW-eF?d
Aperture=Px_TIR(num_TIR) E\pL!c
Obstruction=r c.F6~IHu7
Position=P_TIR(5) !5uGd`^I
format short e; )
M BQuiL
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] &m:uO^-D
format short; Z^MNf
** G9H
%DDE Connection :T
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TP_COMMAND = ddeinit('TracePro','Scheme'); ?o#%Xs
%Create TIR IG9VdDj
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)))']; %UCr;H/
ddeexec(TP_COMMAND,cmd); zi*R`;_`,
cmd =['(entity:move TIR 0 0 -2.3712)']; L.0mk_&
ddeexec(TP_COMMAND,cmd); A#'8X w|
cmd =['(property:apply-name TIR "TIR")']; 7,9=uk>0\
ddeexec(TP_COMMAND,cmd); Q9G;V]./
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%Feedback dimensions of Lens part TIR GD_hhDyD
result='Core系数如下:' Jidwt$1l(
Thickness=Py_TIR(num_TIR)-P_Core(5)+d `
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Aperture=r 0$fpIz
Obstruction='None' h6`6tk
Position=P_Core(5) T\>a!
format short e; 'o>B'$
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] i5?q,_
format short; CDR@
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%Create Core r/6o \-
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)))']; AvV|(K"
ddeexec(TP_COMMAND,cmd); vJOw]cwq
cmd =['(entity:move Core 0 0 5.9493)']; b-Q>({=i
ddeexec(TP_COMMAND,cmd); =uYYsC\T
cmd =['(property:apply-name Core "Core")']; Hm'=aff6A
ddeexec(TP_COMMAND,cmd); ?[Q3q4
JKmIvZ)8
%Create Lens Opc
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cmd =['(define Unite (bool:unite TIR Core))']; iaE^a^*
ddeexec(TP_COMMAND,cmd); TXvI4"&
cmd =['(define block (insert:block 100 100 100))']; 0Bi.6r
ddeexec(TP_COMMAND,cmd); KRMQtgahc
cmd =['(entity:move block 0 0 -50)']; 1--C~IjJ+
ddeexec(TP_COMMAND,cmd); |My4SoOF
cmd =['(define Lens (bool:subtract Unite block))']; c*L\_Vx+
ddeexec(TP_COMMAND,cmd); YU5(g^<
cmd =['(property:apply-name Lens "Lens")']; dD|OSB7I7
ddeexec(TP_COMMAND,cmd); q]e`9/U
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%Close the DDE connection !1 8clL
ddeterm(TP_COMMAND); p &"`RS#Z