程序如下: +8zCol?j
% By Ruibin 08-9-25 TNj WZ
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 7,!$lT#
`*ml/% \
clear all;clc !C>'a:
"b6ew2\
% The Frist Step: Define independent parameters Od?b(bE.]
r=3.25; %选择开孔半径 TPi=!*$&
R=4.25; %定义曲面底部半径 :&-j{8p-
d=1; %设置透镜前方平板高度 |K11Woii
n=1.4935; %定义材料折射率 6<`tb)_2~
dividing_angle=24; %定义Core与TIR的分界角 wF.S ,|
min_angle=1; %设置计算精度 MVYf-'\^
N=4; %设定拟合非球面系数阶数 ;p] f5R^
IPxK$nI^
% The Second Step:Caculate induced variable VYAz0H1-_
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); [}1+=Ub
num_Core=length(angles_Core);num_TIR=length(angles_TIR); +}Q@{@5w
for i=1:(num_Core) :h!&.FB
a_Core(i)=(angles_Core(i)*pi/180); s4kkzTnXE3
k1(i)=cot(a_Core(i)); W>2m%q
U
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); #-^y9B
end z'rB_l
k1(num_Core)=999;k2(num_Core)=0; ,f3Ck*M
for i=1:num_TIR d~za%2{
a_TIR(i)=(angles_TIR(i)*pi/180); w.9'TR
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); !Bqmw
k4(i)=tan(asin(cos(a_TIR(i))/n)); ]R7zvcu&
end okSCM#&:[2
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); cd-;?/
"i1r9TLc
% The Third Step:Solve functions d2=Z=udd
for i=1:num_Core %Solve the curve of Core m@#@7[6]o
syms x; bPhb d
f1=k1(i)*x; o0`|r+E\
f2=k2(i)*(x-X0_Core)+Y0_Core; 1(*Pa
f=f1-f2; MET"s.v
x=double(solve(f));y=k1(i)*x; !^*-]p/z
X0_Core=x;Y0_Core=y; P+s-{vv{0
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; (Tbw@BFk
end x J[Xmre
for i=1:num_TIR %Solve the curve of TIR Vt;!FZ
syms x; Q4!6|%n8v
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ^a?H"
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); HyX:4f|]'
f=f1-f2; %Tvy|L
,
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 9 ! 6\8
X0_TIR=x;Y0_TIR=y; B(l8&
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; %yJ
$R2%*y
end <&Q(I+^
VsTa!V^~
% The furth Step:Fitting the curve S-D=-{@
P_Core=polyfit(Px_Core,Py_Core,4); [7|j:!
P_TIR=polyfit(Px_TIR,Py_TIR,4); %@4/W N
#'2CST
% The fifth Step:Feedback chief dimensions of the lens and Create it vi-mn)L6#
%Feedback dimensions of the whole lens 'V-_3WWxU
result='透镜尺寸如下:' v<SCh)[-p
Diameter_of_lens=2*Px_TIR(num_TIR) FaVeP%v
Thickness_of_lens=Py_TIR(num_TIR)+d JAA{5@ST
Diameter_of_Core=2*r yccF#zU
Thickness_of_front_pannel=d DTi\ 4&41
Bottom_thickness=R-r m=.}}DcSs
Lowest_Core=P_Core(5) n>-"\cjV
!v`C-1}70
%Feedback dimensions of Lens part TIR 5J 0Sc
result='TIR系数如下:' mE+
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d ]Y%U5\$
Aperture=Px_TIR(num_TIR) $,v[<T`
Obstruction=r H;(|&Asq>
Position=P_TIR(5) #ekz>/Im*
format short e; Y\pRk6,
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] pS
C5$a(
format short; ]0yYMnqvr
xM6v0U a
%DDE Connection g3"eEg5 NY
TP_COMMAND = ddeinit('TracePro','Scheme'); hr)CxsPoRQ
%Create TIR j^&{5s
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)))']; |Vq&IfP
ddeexec(TP_COMMAND,cmd); <Z6tRf;B
cmd =['(entity:move TIR 0 0 -2.3712)']; jh|4Y(
ddeexec(TP_COMMAND,cmd); rDvz2p"R
cmd =['(property:apply-name TIR "TIR")']; !`VC4o
ddeexec(TP_COMMAND,cmd); :(o6^%x
2*<'=*zaQ
%Feedback dimensions of Lens part TIR oF9c>^s
result='Core系数如下:' $F,&7{^
Thickness=Py_TIR(num_TIR)-P_Core(5)+d PiTe/
Aperture=r /Wqx@#
Obstruction='None' qp6*v&
Position=P_Core(5) *w[\(d'T
format short e; 7:>VH>?D
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] Y3J;Kk#AH
format short; =cN!h"C[
%Create Core S5$sB{\R
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002 1.9124e-001 -1.7949e-002 2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; 3>I
ddeexec(TP_COMMAND,cmd); 01P ~K|s
cmd =['(entity:move Core 0 0 5.9493)']; M zbs#v0
ddeexec(TP_COMMAND,cmd); *~0Ko{Avc
cmd =['(property:apply-name Core "Core")']; ;& PK6G
ddeexec(TP_COMMAND,cmd); |8s)kQ4$
4\6-sL?rW
%Create Lens S
;; Z
cmd =['(define Unite (bool:unite TIR Core))']; '\iWp?`$
ddeexec(TP_COMMAND,cmd); $)fybnY
cmd =['(define block (insert:block 100 100 100))']; [3#A)#kWm
ddeexec(TP_COMMAND,cmd); .M$}.v
cmd =['(entity:move block 0 0 -50)']; L`!M3c@u
ddeexec(TP_COMMAND,cmd); J^G#x}y
cmd =['(define Lens (bool:subtract Unite block))']; q:9#Vcw
ddeexec(TP_COMMAND,cmd); clwJ+kku@
cmd =['(property:apply-name Lens "Lens")']; {#c**' 4
ddeexec(TP_COMMAND,cmd); C;3>q*Am4
MGmUgc
%Close the DDE connection u?>]C6$
ddeterm(TP_COMMAND); \\WIu?