程序如下: iB,Nqs3i*
% By Ruibin 08-9-25 O1_dA%m
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. tzeS D C
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clear all;clc ;w_f ^R #
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% The Frist Step: Define independent parameters >=_Z\ wA
r=3.25; %选择开孔半径 P`K?k<
R=4.25; %定义曲面底部半径 MQv2C@K9F
d=1; %设置透镜前方平板高度 D<2|&xaR
n=1.4935; %定义材料折射率 StP7t
dividing_angle=24; %定义Core与TIR的分界角 ag$mc8-p[
min_angle=1; %设置计算精度 J c~{ E
N=4; %设定拟合非球面系数阶数 ]`2=<n;=
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% The Second Step:Caculate induced variable p/a)vN+*x'
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); T*%Q s&x;
num_Core=length(angles_Core);num_TIR=length(angles_TIR); k2xOu9ncEj
for i=1:(num_Core) j<LDJi>O
a_Core(i)=(angles_Core(i)*pi/180); 8Jd\2T7 h
k1(i)=cot(a_Core(i));
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k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 9(>l trA
end =2z9Aq{
k1(num_Core)=999;k2(num_Core)=0; d +Vx:`tT
for i=1:num_TIR p -=+i
a_TIR(i)=(angles_TIR(i)*pi/180); dX0"h5v1
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); x*A_1_A
k4(i)=tan(asin(cos(a_TIR(i))/n)); ?vgHu
end zd+_
BPT
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); `&"-|
; c'9Xyl-
% The Third Step:Solve functions J0e~s
for i=1:num_Core %Solve the curve of Core ,rB"ag !
syms x; F;mK)Q-
f1=k1(i)*x; szY=N7\S*
f2=k2(i)*(x-X0_Core)+Y0_Core; $~|#Rz%v
f=f1-f2; "YUyM5X
x=double(solve(f));y=k1(i)*x; /=zzym~<>
X0_Core=x;Y0_Core=y; y~ JCSzpU
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ptS1d$
end N|v3a>;*l
for i=1:num_TIR %Solve the curve of TIR BTwLx-p9t
syms x; ?t&sT
f1=k3(i)*(x-X0_TIR)+Y0_TIR; i9.~cnk
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); qFo'"z`84
f=f1-f2; i>n.r_!E
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; D2`tWRm0
X0_TIR=x;Y0_TIR=y; X`d d"8%
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; \(PC#H%
end 'Jb6CRn
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% The furth Step:Fitting the curve f&w8o5=|I
P_Core=polyfit(Px_Core,Py_Core,4); eGZX6Q7m
P_TIR=polyfit(Px_TIR,Py_TIR,4); Md9b_&'
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% The fifth Step:Feedback chief dimensions of the lens and Create it sbZ$h
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%Feedback dimensions of the whole lens s6(iiB%d
result='透镜尺寸如下:' u.wm;eK[
Diameter_of_lens=2*Px_TIR(num_TIR) a}Db9 =
Thickness_of_lens=Py_TIR(num_TIR)+d !$"DD[~\
Diameter_of_Core=2*r -S]yXZ
Thickness_of_front_pannel=d (~~*PT-
Bottom_thickness=R-r AnV\{A^
Lowest_Core=P_Core(5) Th&*
d;
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%Feedback dimensions of Lens part TIR 78v4cQ Y
result='TIR系数如下:' B5>1T[T'-
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d yJx{6
Aperture=Px_TIR(num_TIR) i2ap]
Obstruction=r pu(a&0
Position=P_TIR(5) D"WqJcDt
format short e; B!|<<;Da6
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] I$K? ,
format short; 5c btMNP
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%DDE Connection @J~n$^ke
TP_COMMAND = ddeinit('TracePro','Scheme'); ""[(e0oA
%Create TIR Ih*}1D)7
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)))']; gU7@}P
ddeexec(TP_COMMAND,cmd); (U"Ub;[7
cmd =['(entity:move TIR 0 0 -2.3712)']; @add'>)
ddeexec(TP_COMMAND,cmd); ;P9P2&c8c
cmd =['(property:apply-name TIR "TIR")']; )J?Nfi%
ddeexec(TP_COMMAND,cmd); SF.4["$
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%Feedback dimensions of Lens part TIR D-8NDa(`
result='Core系数如下:' 0n25{N
Thickness=Py_TIR(num_TIR)-P_Core(5)+d u~#QvA~]
Aperture=r 60KhwD1
Obstruction='None' N;cEf7+f
Position=P_Core(5) ,wJ#0?
format short e; ~7$E\w6
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] ;[*jLi,uc
format short; }cK<2J#
%Create Core p@H]F<
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002 1.9124e-001 -1.7949e-002 2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))'];
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ddeexec(TP_COMMAND,cmd); 49%qBO$R
cmd =['(entity:move Core 0 0 5.9493)']; >hcA:\UPk
ddeexec(TP_COMMAND,cmd); ~]HeoQK
cmd =['(property:apply-name Core "Core")']; 0MK|spc
ddeexec(TP_COMMAND,cmd); `8Y& KVhu
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%Create Lens si.A"\bm
cmd =['(define Unite (bool:unite TIR Core))']; ]C|Zs=5
ddeexec(TP_COMMAND,cmd); 14TA( v]T
cmd =['(define block (insert:block 100 100 100))']; N zY}-:{
ddeexec(TP_COMMAND,cmd); [h
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cmd =['(entity:move block 0 0 -50)'];
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ddeexec(TP_COMMAND,cmd); BJI}gm2y
cmd =['(define Lens (bool:subtract Unite block))']; t^HQ=*c
ddeexec(TP_COMMAND,cmd); s hbPy
cmd =['(property:apply-name Lens "Lens")'];
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ddeexec(TP_COMMAND,cmd); i"=6n>\
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%Close the DDE connection J /3qJst
ddeterm(TP_COMMAND); pkjf5DWp