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% By Ruibin 08-9-25 o
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% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 9K]Li\
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clear all;clc iI|mFc|V
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% The Frist Step: Define independent parameters kjVUG >e>
r=3.25; %选择开孔半径 ws1io.
R=4.25; %定义曲面底部半径 5L6_W-n{
d=1; %设置透镜前方平板高度 vS#Y,H:yAj
n=1.4935; %定义材料折射率 h0m+u}oP_H
dividing_angle=24; %定义Core与TIR的分界角 5f;6BP
min_angle=1; %设置计算精度 kj_MzgC'?
N=4; %设定拟合非球面系数阶数 LH7m >/LJr
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% The Second Step:Caculate induced variable >KPxksFR8
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); 7Gwn ,&)
num_Core=length(angles_Core);num_TIR=length(angles_TIR); b`a4SfbQS
for i=1:(num_Core) }q<p;4<\F
a_Core(i)=(angles_Core(i)*pi/180); ,%)O/{p_
k1(i)=cot(a_Core(i)); sIUhk7Cd8
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); L|B/'
end LqNt.d @
k1(num_Core)=999;k2(num_Core)=0; O+iNR9O
for i=1:num_TIR I5#KLZVg
a_TIR(i)=(angles_TIR(i)*pi/180); o#GZ|9IL
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); j<"@Y7
k4(i)=tan(asin(cos(a_TIR(i))/n)); 9:DT+^BB
end LxdF;JCz:
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); JVfSmxy.
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% The Third Step:Solve functions B* 0TM+
for i=1:num_Core %Solve the curve of Core p**Sd[|
syms x; 0m2%ucKw
f1=k1(i)*x; &>nB@SQZ
f2=k2(i)*(x-X0_Core)+Y0_Core; 7+!FZo{?
f=f1-f2; rra|}l4Y
x=double(solve(f));y=k1(i)*x; f.yvKi.Cm
X0_Core=x;Y0_Core=y; 6zbqv 6
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 6d7E@}<
end ]rNM3@bVy
for i=1:num_TIR %Solve the curve of TIR p{@j M
syms x; |Y-{)5/5}
f1=k3(i)*(x-X0_TIR)+Y0_TIR; u[:-^H
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ;$nCQ/ /
f=f1-f2; YR'dl_
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; V ,+&.A23
X0_TIR=x;Y0_TIR=y; \wZ
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Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; qjr:(x /
end Lm-f0\(
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% The furth Step:Fitting the curve XE#a#
P_Core=polyfit(Px_Core,Py_Core,4); 'zJBp 9a%
P_TIR=polyfit(Px_TIR,Py_TIR,4); %I^schE*
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% The fifth Step:Feedback chief dimensions of the lens and Create it i C)+5L#'
%Feedback dimensions of the whole lens ?4`f@=}'K
result='透镜尺寸如下:' XY`{F.2h
Diameter_of_lens=2*Px_TIR(num_TIR) &0b\E73
Thickness_of_lens=Py_TIR(num_TIR)+d
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Diameter_of_Core=2*r 5'<J@3B
Thickness_of_front_pannel=d \sn
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Bottom_thickness=R-r Wq2Bo*[*
Lowest_Core=P_Core(5) !We9T )e
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%Feedback dimensions of Lens part TIR G1
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result='TIR系数如下:' E8/Pi>QW
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d m2a[E0
Aperture=Px_TIR(num_TIR) 2tw3 =)
Obstruction=r lRANXM
Position=P_TIR(5) :
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format short e; 9GX'+$R]
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] `_iK`^(-
format short; aCRiW;+'
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%DDE Connection l NLa:j
TP_COMMAND = ddeinit('TracePro','Scheme'); M7fPaJKL
%Create TIR +Pc2`,pw|
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)))']; 2RU/oqmR
ddeexec(TP_COMMAND,cmd); GU0[K#%
cmd =['(entity:move TIR 0 0 -2.3712)']; :@b=;
ddeexec(TP_COMMAND,cmd); h1~/zM/`
cmd =['(property:apply-name TIR "TIR")']; l3Qt_I)L
ddeexec(TP_COMMAND,cmd); !ra,HkU'
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%Feedback dimensions of Lens part TIR 03n+kh
result='Core系数如下:' OwN~-).%-
Thickness=Py_TIR(num_TIR)-P_Core(5)+d \IhHbcF`d
Aperture=r bXz*g`=;
Obstruction='None' oe*fgk/o9
Position=P_Core(5) Yc:>Yzj(z
format short e; b:PzqMh{G
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] jL{k!V`s
format short; j;<s!A#
%Create Core Sa-" G`
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)))']; sis1Dh9:
ddeexec(TP_COMMAND,cmd); *`40B6dEr
cmd =['(entity:move Core 0 0 5.9493)'];
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ddeexec(TP_COMMAND,cmd); mKLWz1GZ
cmd =['(property:apply-name Core "Core")']; rMoz+{1A
ddeexec(TP_COMMAND,cmd); @x^/X8c(p
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%Create Lens ^KJi|'B
cmd =['(define Unite (bool:unite TIR Core))']; G|I}x/X"Q7
ddeexec(TP_COMMAND,cmd); {wl7&25
cmd =['(define block (insert:block 100 100 100))']; ?L| Ai\|
ddeexec(TP_COMMAND,cmd); cK,&huk
cmd =['(entity:move block 0 0 -50)']; x9o(q`N
ddeexec(TP_COMMAND,cmd); }ww`Y
cmd =['(define Lens (bool:subtract Unite block))']; [1l OGck[
ddeexec(TP_COMMAND,cmd); 9+b){W
cmd =['(property:apply-name Lens "Lens")']; E&ReQgBft
ddeexec(TP_COMMAND,cmd); mLV0J '
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%Close the DDE connection p@?ud%
ddeterm(TP_COMMAND); Eb8~i_B-