程序如下: XVzsqi*Z
% By Ruibin 08-9-25 Nn-EtM0w
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. *QA{xvT
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clear all;clc F!zGk(Pu
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% The Frist Step: Define independent parameters .Z(Q7j^
r=3.25; %选择开孔半径 &EJ/Rl
R=4.25; %定义曲面底部半径 & {=}U
d=1; %设置透镜前方平板高度 zvR;Tl6]
n=1.4935; %定义材料折射率 <6.?:Jj
dividing_angle=24; %定义Core与TIR的分界角 IubzHf
min_angle=1; %设置计算精度 TF~cDn
N=4; %设定拟合非球面系数阶数 0.0r?T
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% The Second Step:Caculate induced variable ZDx1v_xr
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); cS(=wC
num_Core=length(angles_Core);num_TIR=length(angles_TIR); hq?F81
for i=1:(num_Core) hCob^o
a_Core(i)=(angles_Core(i)*pi/180); K)GpQ|4:<
k1(i)=cot(a_Core(i)); aEn*vun
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); gf70 O>E
end A@jBn6
k1(num_Core)=999;k2(num_Core)=0; 2Ws'3Jz
for i=1:num_TIR X/FR e[R
a_TIR(i)=(angles_TIR(i)*pi/180); uTNy{RBD+
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); dpcU`$kt
k4(i)=tan(asin(cos(a_TIR(i))/n)); X3HJ3F;==
end m'WGK`WIm
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); %e+{wU}w?2
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% The Third Step:Solve functions ]-jaIvM
for i=1:num_Core %Solve the curve of Core 8@r>`c
syms x; <vd}oiB@
f1=k1(i)*x; T'a&
f2=k2(i)*(x-X0_Core)+Y0_Core; ?;GXFKy
f=f1-f2; W/.Wp|C}K3
x=double(solve(f));y=k1(i)*x; ';LsEI[
X0_Core=x;Y0_Core=y; >=/DCQ$
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; .t.4y.
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end uTvf[%EHW
for i=1:num_TIR %Solve the curve of TIR WF-^pfRq~
syms x; s){R/2O3F
f1=k3(i)*(x-X0_TIR)+Y0_TIR; VVqpzDoXG
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ,.AXQ#~&`
f=f1-f2; %'eaW
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 7pM&))R
X0_TIR=x;Y0_TIR=y; ^ #3,*(S
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; :=\`P
end \6!s";=hQ
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% The furth Step:Fitting the curve #J~xKyJi'
P_Core=polyfit(Px_Core,Py_Core,4); f!G%$?]
P_TIR=polyfit(Px_TIR,Py_TIR,4); vy5I#q(k
Yu:($//w
% The fifth Step:Feedback chief dimensions of the lens and Create it ^_/gM[H.
%Feedback dimensions of the whole lens = Q"(9[Az
result='透镜尺寸如下:' at(gem
Diameter_of_lens=2*Px_TIR(num_TIR) +/rh8?
Thickness_of_lens=Py_TIR(num_TIR)+d kfq<M7y
Diameter_of_Core=2*r o<rbC <
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Thickness_of_front_pannel=d NN~PWy1opa
Bottom_thickness=R-r G$s=P
Lowest_Core=P_Core(5) tD])&0"(
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%Feedback dimensions of Lens part TIR hA+;eXy/
result='TIR系数如下:' .jl^"{@6
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d +'aG{/J
Aperture=Px_TIR(num_TIR) Pt7C/
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Obstruction=r ).jna`A,
Position=P_TIR(5) B RtT 7
format short e; n"<'F4r
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] #-/_J?
format short; i}>}%l|
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%DDE Connection CFeAKjG
TP_COMMAND = ddeinit('TracePro','Scheme'); $it>*%
%Create TIR #!4`t]E<
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)))']; e r"gPW
ddeexec(TP_COMMAND,cmd); wV'_{/WM
cmd =['(entity:move TIR 0 0 -2.3712)']; e)oi3d.wJf
ddeexec(TP_COMMAND,cmd); X:W}S/
cmd =['(property:apply-name TIR "TIR")']; B|S X?X
ddeexec(TP_COMMAND,cmd); =h}PL22
s"l ^v5
%Feedback dimensions of Lens part TIR EI@ep~
result='Core系数如下:' w^/"j_p@
Thickness=Py_TIR(num_TIR)-P_Core(5)+d M+lI,j+
Aperture=r +Q!Kj7EU/
Obstruction='None' [H>/N7v19*
Position=P_Core(5) Zk0? =f?j
format short e; <"`P;,S
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] _? u} Jy_
format short; HK<oNr.d52
%Create Core K\$z,}0
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)))']; E /V`NqC
ddeexec(TP_COMMAND,cmd); XNkQ0o0
cmd =['(entity:move Core 0 0 5.9493)']; > u=nGeO
ddeexec(TP_COMMAND,cmd); A{Q~@1
cmd =['(property:apply-name Core "Core")']; eb<'>a
ddeexec(TP_COMMAND,cmd); HA.
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%Create Lens bfA9aT
cmd =['(define Unite (bool:unite TIR Core))']; w4Ku1G#jC
ddeexec(TP_COMMAND,cmd); < !]7Gt
cmd =['(define block (insert:block 100 100 100))']; u!cA_,
ddeexec(TP_COMMAND,cmd); vo2 T P:
cmd =['(entity:move block 0 0 -50)']; =Lr#
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ddeexec(TP_COMMAND,cmd); V,:~FufM^
cmd =['(define Lens (bool:subtract Unite block))']; [Kd"M[1[<
ddeexec(TP_COMMAND,cmd);
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cmd =['(property:apply-name Lens "Lens")']; G)\6W#de4
ddeexec(TP_COMMAND,cmd); el,n5OZ7
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%Close the DDE connection D]d2opBLj
ddeterm(TP_COMMAND); ; J8 25CE