程序如下: xp"5L8:C
% By Ruibin 08-9-25 VWR6/,N^_
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions.
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clear all;clc /MQI5Djg
a6fqtkZ x
% The Frist Step: Define independent parameters V$XCe
r=3.25; %选择开孔半径 6H_7M(f
R=4.25; %定义曲面底部半径 P~"`Og+
d=1; %设置透镜前方平板高度 /SDDCZ`;|c
n=1.4935; %定义材料折射率 Z39I*-6F9W
dividing_angle=24; %定义Core与TIR的分界角 \%D/]"@r
min_angle=1; %设置计算精度 $x%VUms
N=4; %设定拟合非球面系数阶数 s9-aPcA
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% The Second Step:Caculate induced variable Ohmi(s
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); R@)L@M)u;
num_Core=length(angles_Core);num_TIR=length(angles_TIR); "Gh?hU,WWZ
for i=1:(num_Core) BVpRkUC"
a_Core(i)=(angles_Core(i)*pi/180); ,5L[M&5
k1(i)=cot(a_Core(i)); ?3
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k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); m!-,K8
end s&7,gWy}BE
k1(num_Core)=999;k2(num_Core)=0; Nn;p1n
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for i=1:num_TIR T m0m$l
a_TIR(i)=(angles_TIR(i)*pi/180); d;D8$q)8Q
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); V=,VOw4
k4(i)=tan(asin(cos(a_TIR(i))/n)); {|~22UkF[V
end z"C+r'39d=
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); _jW}p-j
ch%-Cg~%
% The Third Step:Solve functions !wtt KUO?
for i=1:num_Core %Solve the curve of Core S%7^7MSqA
syms x; ?u9JRXj%
f1=k1(i)*x; ,mE*k79L6
f2=k2(i)*(x-X0_Core)+Y0_Core; . !|3a
f=f1-f2; mzl %h[9iI
x=double(solve(f));y=k1(i)*x; HjO-6F#s
X0_Core=x;Y0_Core=y; L[Dr[
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; [z1[4
end dm&vLQVS
for i=1:num_TIR %Solve the curve of TIR ;*Cu >f7
syms x; u-a* fT
f1=k3(i)*(x-X0_TIR)+Y0_TIR; mGmkeD'
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); <d\Lvo[
f=f1-f2; 9aE!!
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x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 8Jd\2T7 h
X0_TIR=x;Y0_TIR=y;
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Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 9(>l trA
end *$ihNX]YG
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% The furth Step:Fitting the curve V+mTo^
P_Core=polyfit(Px_Core,Py_Core,4); >~kSe=Hsb4
P_TIR=polyfit(Px_TIR,Py_TIR,4); 4$=Dq$4z
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% The fifth Step:Feedback chief dimensions of the lens and Create it os]P6TFFX?
%Feedback dimensions of the whole lens 0!c^pOq6
result='透镜尺寸如下:'
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Diameter_of_lens=2*Px_TIR(num_TIR) .I@jt?6X
Thickness_of_lens=Py_TIR(num_TIR)+d g$\Z-!(
Diameter_of_Core=2*r RQZ|:SvV
Thickness_of_front_pannel=d mE"?{~XVL
Bottom_thickness=R-r l0m\2Ttf
Lowest_Core=P_Core(5) Z2]ySyt]
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%Feedback dimensions of Lens part TIR s.E}xv
result='TIR系数如下:' 6}YWM]c%
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d eUyQS I4A
Aperture=Px_TIR(num_TIR) )|88wa(M
Obstruction=r jrMY]Ea2`
Position=P_TIR(5) 5y. n
format short e; A d0dg2Gw
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ,1"w2, =
format short; &J)q _Z8
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%DDE Connection vxxa,KR/y
TP_COMMAND = ddeinit('TracePro','Scheme'); R0R Xw
%Create TIR !vU$^>zo~
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)))']; Nj2f?',;U
ddeexec(TP_COMMAND,cmd); xhAORhw#
cmd =['(entity:move TIR 0 0 -2.3712)']; eGZX6Q7m
ddeexec(TP_COMMAND,cmd); Md9b_&'
cmd =['(property:apply-name TIR "TIR")']; I<q=lK
ddeexec(TP_COMMAND,cmd); x<'(b7{U0
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%Feedback dimensions of Lens part TIR {
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result='Core系数如下:' 8KioL{h
Thickness=Py_TIR(num_TIR)-P_Core(5)+d %rpJZ
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Aperture=r $'I+] ;
Obstruction='None' D:9/;9V
Position=P_Core(5) %ec9`0^4S
format short e; |fMjg'%{}
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] ~RV>V*l
format short; m@hmu}qz-
%Create Core EK^B=)q6:W
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)))']; o0Z(BTO
ddeexec(TP_COMMAND,cmd); y9?~^pTx
cmd =['(entity:move Core 0 0 5.9493)']; 3Zm'09A-.
ddeexec(TP_COMMAND,cmd); U!E
cmd =['(property:apply-name Core "Core")']; "T/
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ddeexec(TP_COMMAND,cmd);
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%Create Lens -e"~UDq`
cmd =['(define Unite (bool:unite TIR Core))']; x.r OP_rs
ddeexec(TP_COMMAND,cmd); C3n_'O
cmd =['(define block (insert:block 100 100 100))']; H[ 6L!
ddeexec(TP_COMMAND,cmd); ~c~$2Xo
cmd =['(entity:move block 0 0 -50)']; _pSCv:3T
ddeexec(TP_COMMAND,cmd); ~429sT(
cmd =['(define Lens (bool:subtract Unite block))']; rO]7g
ddeexec(TP_COMMAND,cmd); ^goa$uxU
cmd =['(property:apply-name Lens "Lens")']; Y}_J@&:
ddeexec(TP_COMMAND,cmd); C WJGr:}&
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%Close the DDE connection j?&Rf,,%
ddeterm(TP_COMMAND); GY@-}p~it