程序如下: oN1D&*
% By Ruibin 08-9-25 pt<zyH3Z
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. !rUP&DA
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clear all;clc : .x((
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% The Frist Step: Define independent parameters QXkA%'@'
r=3.25; %选择开孔半径 *2zp>(%
R=4.25; %定义曲面底部半径 GY]P(NU
d=1; %设置透镜前方平板高度 Pzso^^g
n=1.4935; %定义材料折射率 \(Sly&gL
dividing_angle=24; %定义Core与TIR的分界角 Cb ;6yE)!Z
min_angle=1; %设置计算精度 z)3TB&;
N=4; %设定拟合非球面系数阶数 XZ%,h
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% The Second Step:Caculate induced variable -+WAaJ(b
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); Fv~lasW[
num_Core=length(angles_Core);num_TIR=length(angles_TIR); '3>;8(sl
for i=1:(num_Core) huC{SzXM
a_Core(i)=(angles_Core(i)*pi/180); aoN\n]g
k1(i)=cot(a_Core(i)); ,clbD4
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ]pR?/3
end ,{0Y:/T'
k1(num_Core)=999;k2(num_Core)=0; Z Ts*Y,
for i=1:num_TIR }n9(|i+
a_TIR(i)=(angles_TIR(i)*pi/180); Ixxs(
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); xOTvrX
k4(i)=tan(asin(cos(a_TIR(i))/n)); <[db)r~c
end u} mj)Nk
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); B"GC|}N)v
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% The Third Step:Solve functions 7%^G]AFi
for i=1:num_Core %Solve the curve of Core 3:WqUb\QK
syms x; f]NLR>$L}
f1=k1(i)*x; PF~@@j
f2=k2(i)*(x-X0_Core)+Y0_Core; d1D
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f=f1-f2; 9mi@PW}1
x=double(solve(f));y=k1(i)*x; HgQjw!
X0_Core=x;Y0_Core=y; v,-Tk=qP
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; |A3"Jc.2o
end W> pe-
for i=1:num_TIR %Solve the curve of TIR W3.[d->X
syms x; O\=Z;}<N
f1=k3(i)*(x-X0_TIR)+Y0_TIR; {lds?AuK
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ,XT,t[w
f=f1-f2; JG!B3^qB
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; %ztZ#h~g
X0_TIR=x;Y0_TIR=y; R{@saa5I(>
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 7:UeE~uB:
end Ub3$ `
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% The furth Step:Fitting the curve xv]z>4@z,
P_Core=polyfit(Px_Core,Py_Core,4); J||g(+H>
P_TIR=polyfit(Px_TIR,Py_TIR,4); Dmh$@Uu#F
if'=W6W
% The fifth Step:Feedback chief dimensions of the lens and Create it S F)$b
%Feedback dimensions of the whole lens {I{ 0rV
result='透镜尺寸如下:' nd'D0<%
Diameter_of_lens=2*Px_TIR(num_TIR) M1Q&)am
Thickness_of_lens=Py_TIR(num_TIR)+d !BoGSI
Diameter_of_Core=2*r !4p{b f
Thickness_of_front_pannel=d ;?Pz0,{h
Bottom_thickness=R-r M XG>|
Lowest_Core=P_Core(5) pf8'xdExH)
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%Feedback dimensions of Lens part TIR Q,NnB{R
result='TIR系数如下:' tiZH;t';<
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d )la3GT*1mS
Aperture=Px_TIR(num_TIR) j3sz"(
Obstruction=r &y_t,8>5
Position=P_TIR(5) &;$uU
format short e; MD[hqshoh
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] Y(,RJ&7
format short; 2?
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%DDE Connection ]xvA2!)Q
TP_COMMAND = ddeinit('TracePro','Scheme'); V[.{cY?6
%Create TIR w[z=x
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; "(mJupI
ddeexec(TP_COMMAND,cmd); %wbdg&^
cmd =['(entity:move TIR 0 0 -2.3712)']; ]O|>nTa
ddeexec(TP_COMMAND,cmd); :-x?g2MY
cmd =['(property:apply-name TIR "TIR")']; 0N1t.3U
ddeexec(TP_COMMAND,cmd); ranem0KQ)]
hlVC+%8
%Feedback dimensions of Lens part TIR '
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result='Core系数如下:' dC6>&@
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Thickness=Py_TIR(num_TIR)-P_Core(5)+d g=td*S
Aperture=r 'fn}I0Vc
Obstruction='None' G!FdTvx$
Position=P_Core(5) Oem1=QpaC
format short e; A ON
|b\?
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] @JSWqi>
format short; T.#_v#oM
%Create Core >"/TiQt
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)))']; _&=`vv'
ddeexec(TP_COMMAND,cmd); Apu-9|oP
cmd =['(entity:move Core 0 0 5.9493)']; bm;iX*~
ddeexec(TP_COMMAND,cmd); O+-+=W
cmd =['(property:apply-name Core "Core")']; T]0K4dp+
ddeexec(TP_COMMAND,cmd); 4b}p[9k
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%Create Lens KLe6V+ki*
cmd =['(define Unite (bool:unite TIR Core))']; z_(l]Ern}
ddeexec(TP_COMMAND,cmd); Z&^vEQ
cmd =['(define block (insert:block 100 100 100))']; Q^{TcL8
ddeexec(TP_COMMAND,cmd); @C-dCC?
cmd =['(entity:move block 0 0 -50)']; 1
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ddeexec(TP_COMMAND,cmd); ^fKKsfIf
cmd =['(define Lens (bool:subtract Unite block))']; Ie!KIU
ddeexec(TP_COMMAND,cmd); Z(:\Vj"
cmd =['(property:apply-name Lens "Lens")']; 3~`\FuHHe
ddeexec(TP_COMMAND,cmd); dtuCA"D
%#%YU|4R
%Close the DDE connection >XZ2w_
ddeterm(TP_COMMAND); -}@C9Ja[?