程序如下: $M T'ZM
% By Ruibin 08-9-25 !7O!)WJ
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. =NHzh!
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clear all;clc -OS&(7
9(/ ;Wutj"
% The Frist Step: Define independent parameters S^Z[w|1
r=3.25; %选择开孔半径 krC4O2Fkj
R=4.25; %定义曲面底部半径 d:"]*EZ [
d=1; %设置透镜前方平板高度 -&ic%0|f
n=1.4935; %定义材料折射率 u0@i3Po
dividing_angle=24; %定义Core与TIR的分界角 i:ZL0nH-
min_angle=1; %设置计算精度 lc71Pp>
N=4; %设定拟合非球面系数阶数 TFWx(}1
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% The Second Step:Caculate induced variable 2y&m8_s-p
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); KnC;j-j
num_Core=length(angles_Core);num_TIR=length(angles_TIR); cv b:FK
for i=1:(num_Core) R`F54?th
a_Core(i)=(angles_Core(i)*pi/180); f(h nomn
k1(i)=cot(a_Core(i)); 9;^ r
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); Qv%"iSe~J
end 7X$[E*kd
k1(num_Core)=999;k2(num_Core)=0; mOb*VH
for i=1:num_TIR DJ)z~W2I*
a_TIR(i)=(angles_TIR(i)*pi/180); W(oJ{R&m{
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); `!.)"BI/s
k4(i)=tan(asin(cos(a_TIR(i))/n)); GN4'LU
end zw`T^N#
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); X4:\Shb97
swBgV,;
% The Third Step:Solve functions :D>afC8,
for i=1:num_Core %Solve the curve of Core .X;zEyd
syms x; ]{r*Z6bs
f1=k1(i)*x; H+`s#'(i_P
f2=k2(i)*(x-X0_Core)+Y0_Core; E*ug.nxy
f=f1-f2; P,x'1`k~
x=double(solve(f));y=k1(i)*x; 2FxrMCC
X0_Core=x;Y0_Core=y; <6]TazW?S
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; hpD\,
end ?mJNzHrq;
for i=1:num_TIR %Solve the curve of TIR mTcop yp
syms x; Q2c|sK8
f1=k3(i)*(x-X0_TIR)+Y0_TIR; FC:Z9 {2!
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); :1q)l
f=f1-f2; )T1U!n?^x
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; v2e*mNK5
X0_TIR=x;Y0_TIR=y; {8)Pke
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; o~#cpU4{o
end _;G. QwHr
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% The furth Step:Fitting the curve E880X<V)>
P_Core=polyfit(Px_Core,Py_Core,4); hjVct
r
P_TIR=polyfit(Px_TIR,Py_TIR,4); 8E:8iNbF
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% The fifth Step:Feedback chief dimensions of the lens and Create it jN\} l|;q
%Feedback dimensions of the whole lens lWr{v\L'
result='透镜尺寸如下:' [Bn C_^[W
Diameter_of_lens=2*Px_TIR(num_TIR) 2lVJ"jg
Thickness_of_lens=Py_TIR(num_TIR)+d 6>rgoT)6~
Diameter_of_Core=2*r WoVPp*zlX
Thickness_of_front_pannel=d Yj/aa0Ka4
Bottom_thickness=R-r OOzk@j^
Lowest_Core=P_Core(5) '->%b
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%Feedback dimensions of Lens part TIR L|hdV\
result='TIR系数如下:' hk
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Thickness=Py_TIR(num_TIR)-P_TIR(5)+d dzIcX*"
Aperture=Px_TIR(num_TIR) Y}<w)b1e|
Obstruction=r zn| S3c
Position=P_TIR(5) s}8(__|
format short e; `mar-r_m
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 4~mYj@lvd
format short; >WfkWUb
{MP8B'r-6
%DDE Connection ;B4x>
TP_COMMAND = ddeinit('TracePro','Scheme'); (twwDI
%Create TIR td*1
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)))']; J!O{.v
ddeexec(TP_COMMAND,cmd); )Gf"#TM[
cmd =['(entity:move TIR 0 0 -2.3712)']; 97 Oi}
ddeexec(TP_COMMAND,cmd); bC_qoI<
cmd =['(property:apply-name TIR "TIR")']; ~#z8Q{!O
ddeexec(TP_COMMAND,cmd); =Q\z*.5j.
dQX<X}
%Feedback dimensions of Lens part TIR ZY_aE
result='Core系数如下:' c/:d$o-
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ,8~qnLy9
Aperture=r *C/bf)w
Obstruction='None' 0GEM3~~D.?
Position=P_Core(5) EW$.,%b1
format short e; p:*)rE
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] Z~&$s
format short; 5)tDgm
%Create Core xF:}a:c@H
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)))']; e70#"~gt[
ddeexec(TP_COMMAND,cmd); Mnj\t3:
cmd =['(entity:move Core 0 0 5.9493)']; PxuE(n V[
ddeexec(TP_COMMAND,cmd); h(M_
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cmd =['(property:apply-name Core "Core")']; \<cs:C\h7
ddeexec(TP_COMMAND,cmd); 1~J:hjKQ
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%Create Lens $KSdNFtM)A
cmd =['(define Unite (bool:unite TIR Core))']; Sz!mn
ddeexec(TP_COMMAND,cmd); Y^ Of
cmd =['(define block (insert:block 100 100 100))']; UE:';(t
ddeexec(TP_COMMAND,cmd); r#8t@W
cmd =['(entity:move block 0 0 -50)']; d@sAB1:
ddeexec(TP_COMMAND,cmd); Uq}F rK}
cmd =['(define Lens (bool:subtract Unite block))']; pr\wI?:k
ddeexec(TP_COMMAND,cmd); EC`!&Yp+
cmd =['(property:apply-name Lens "Lens")']; Z2Q'9C},m
ddeexec(TP_COMMAND,cmd); h/'b(9fS
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%Close the DDE connection ElFiR;
ddeterm(TP_COMMAND); , %8keGhl