程序如下: |)C*i
% By Ruibin 08-9-25 p&5>j\uJ1&
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. cA|vH^:
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clear all;clc aC%Q.+-t
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% The Frist Step: Define independent parameters 3~V.
r=3.25; %选择开孔半径 $4~Z]-38#A
R=4.25; %定义曲面底部半径 ^\kH^
d=1; %设置透镜前方平板高度 U^BM 5b
n=1.4935; %定义材料折射率 m(d|TwG{
dividing_angle=24; %定义Core与TIR的分界角 (xoYYO
min_angle=1; %设置计算精度 RgW#z-PZF
N=4; %设定拟合非球面系数阶数 X/90S2=P
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% The Second Step:Caculate induced variable M_-L#FHX
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); v;U5[
num_Core=length(angles_Core);num_TIR=length(angles_TIR); k`A39ln7wu
for i=1:(num_Core) zx,9x*g
a_Core(i)=(angles_Core(i)*pi/180); , ,ng]&%i
k1(i)=cot(a_Core(i)); $IjI{%
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ^Il*`&+?P
end S D{ )Sq
k1(num_Core)=999;k2(num_Core)=0; @6UZC-M0
for i=1:num_TIR UV0[S8A
a_TIR(i)=(angles_TIR(i)*pi/180); EU>`$M&w-
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); %[s%H)e)
k4(i)=tan(asin(cos(a_TIR(i))/n)); FpU8$o~r{
end #p55/54ZI
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); kP^A~ZO.
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% The Third Step:Solve functions B2P@9u|9
for i=1:num_Core %Solve the curve of Core >`SeX:
syms x; 4#7*B yvf
f1=k1(i)*x; |#M|"7;2z
f2=k2(i)*(x-X0_Core)+Y0_Core; 5E"^>z
f=f1-f2; j*Pq<[~
x=double(solve(f));y=k1(i)*x; 3Jt#
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X0_Core=x;Y0_Core=y; I[v`)T'_{
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; D>@NYqMF
end 'L-DMNxBr
for i=1:num_TIR %Solve the curve of TIR !U>WAD9
syms x; f7][#EL
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ,Kl?-W@
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 6]d]0TW_
f=f1-f2; ..+#~3es#y
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; FVBAB>
X0_TIR=x;Y0_TIR=y; R3l{.{3p2
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; Iz#4!E|<
end :?BK A0E
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% The furth Step:Fitting the curve
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P_Core=polyfit(Px_Core,Py_Core,4); H?8'(
P_TIR=polyfit(Px_TIR,Py_TIR,4); -fmJkI
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% The fifth Step:Feedback chief dimensions of the lens and Create it h_S>Q
%Feedback dimensions of the whole lens la_c:#ho
result='透镜尺寸如下:' &JqaIJh
Diameter_of_lens=2*Px_TIR(num_TIR) K)~a H
Thickness_of_lens=Py_TIR(num_TIR)+d fz :(mZ%
Diameter_of_Core=2*r matna
Thickness_of_front_pannel=d -X~|jF
Bottom_thickness=R-r ~'KqiUY
Lowest_Core=P_Core(5) $*iovam>^]
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%Feedback dimensions of Lens part TIR ?z&%VU"
result='TIR系数如下:' _UPfqC ?
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d PWiUW{7z
Aperture=Px_TIR(num_TIR) p^|l ',e
Obstruction=r G%t>Ll``C
Position=P_TIR(5) J;8d-R5
format short e; ;-kDJi
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] $=N?[h&4
format short; qrw
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%DDE Connection 6{HCF-cQd
TP_COMMAND = ddeinit('TracePro','Scheme'); U|%}B(
%Create TIR YnU)f@b#
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; !=,Y=5M,
ddeexec(TP_COMMAND,cmd); ">z3i`#C'
cmd =['(entity:move TIR 0 0 -2.3712)']; jJNCNH*0
ddeexec(TP_COMMAND,cmd); 35e{{Gn)v
cmd =['(property:apply-name TIR "TIR")']; ;VAyH('~
ddeexec(TP_COMMAND,cmd); s{yw1:
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%Feedback dimensions of Lens part TIR "^\q{S&q2P
result='Core系数如下:' @:9Gs!!
Thickness=Py_TIR(num_TIR)-P_Core(5)+d DJ:'<"zH7
Aperture=r e@ZM&iR
Obstruction='None' Tgr,1)T
Position=P_Core(5) %8tE*3iUF
format short e; 3EICdC
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] R~k`KuY@!
format short; 4F6aPo2
%Create Core >- \bLr
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002 1.9124e-001 -1.7949e-002 2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; kt978qfk
ddeexec(TP_COMMAND,cmd); 3^+D,)#D^
cmd =['(entity:move Core 0 0 5.9493)']; 4v hz`1
ddeexec(TP_COMMAND,cmd); c:Nm!+5_(
cmd =['(property:apply-name Core "Core")']; j/d}B_2
ddeexec(TP_COMMAND,cmd); V+O,y9
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%Create Lens SULFAf<
cmd =['(define Unite (bool:unite TIR Core))']; _o$jk8jOjW
ddeexec(TP_COMMAND,cmd); CC`_e^~y=F
cmd =['(define block (insert:block 100 100 100))']; Ct w <-'
ddeexec(TP_COMMAND,cmd); '6 F-%
cmd =['(entity:move block 0 0 -50)']; i9DD)Y<
ddeexec(TP_COMMAND,cmd); -PE_q Z^
cmd =['(define Lens (bool:subtract Unite block))']; ?!U[~Gq
ddeexec(TP_COMMAND,cmd); #Or;"}P>fB
cmd =['(property:apply-name Lens "Lens")']; "a8E0b
ddeexec(TP_COMMAND,cmd); k_=yb^6[U
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%Close the DDE connection WI/tWj0
ddeterm(TP_COMMAND); Tn#Co$<