程序如下： ?Z(xu~^/
% By Ruibin 08-9-25 &9OnN<mT1
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. u; G-46
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clear all;clc IoKN.#;^
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% The Frist Step: Define independent parameters a1dkB"Zp.p
r=3.25; %选择开孔半径 / <
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R=4.25; %定义曲面底部半径 32 8gTP1
d=1; %设置透镜前方平板高度 n q%GLUH
n=1.4935; %定义材料折射率 Q@(tyW+8U@
dividing_angle=24; %定义Core与TIR的分界角 +wIv|zj9
min_angle=1; %设置计算精度 1c4@qQyo
N=4; %设定拟合非球面系数阶数 '5etZ!:
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% The Second Step：Caculate induced variable R LNto5?
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); ?v,4seRuz
num_Core=length(angles_Core);num_TIR=length(angles_TIR); |V-) 3 #c
for i=1:(num_Core) Jp 7m$D%
a_Core(i)=(angles_Core(i)*pi/180); ~ 5: -;ZbZ
k1(i)=cot(a_Core(i)); BTnrgs#[
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); b wqd` C
end ]k)h<)nY
k1(num_Core)=999;k2(num_Core)=0; #-7w |
for i=1:num_TIR 2fFGS.l
a_TIR(i)=(angles_TIR(i)*pi/180); 8i~n;AhDs
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); w%?6s 3
k4(i)=tan(asin(cos(a_TIR(i))/n)); dV7~C@k6k8
end
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X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Qm@v}pD
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% The Third Step:Solve functions yL #2|t(
for i=1:num_Core %Solve the curve of Core Jty/gjK+
syms x;
% Z-B{I(
f1=k1(i)*x; 5pz(6gA
f2=k2(i)*(x-X0_Core)+Y0_Core; `nv82v
f=f1-f2; DAVgP7h'
x=double(solve(f));y=k1(i)*x; snvixbN
X0_Core=x;Y0_Core=y; t|]2\6acuc
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ^G C 8^f
end VRA0p[
for i=1:num_TIR %Solve the curve of TIR `VXC*A
syms x; a&C }' e"
f1=k3(i)*(x-X0_TIR)+Y0_TIR; X;QhK] Z
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ;@s'JSPt
f=f1-f2; ICm/9Onh&
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ! g7bkA
X0_TIR=x;Y0_TIR=y; J_N`D+m
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; :d} @Z}2sD
end #G\;)p T
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% The furth Step:Fitting the curve k|; [)gE
P_Core=polyfit(Px_Core,Py_Core,4); (0!U,8zz
P_TIR=polyfit(Px_TIR,Py_TIR,4); dU.H9\p
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% The fifth Step:Feedback chief dimensions of the lens and Create it fl *>m,
%Feedback dimensions of the whole lens Ja%(kq[v
result='透镜尺寸如下：' 'D[g{LkL
Diameter_of_lens=2*Px_TIR(num_TIR) VjGtEIew
Thickness_of_lens=Py_TIR(num_TIR)+d V)3S.*]
Diameter_of_Core=2*r -iySU 6
Thickness_of_front_pannel=d s\i o9'Ec
Bottom_thickness=R-r eGk`Z>
Lowest_Core=P_Core(5) [*z`p;n2D
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%Feedback dimensions of Lens part TIR jQi)pV T^
result='TIR系数如下：' :FWo,fq?:{
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d H mv@7$9s\
Aperture=Px_TIR(num_TIR) *c' hmA s
Obstruction=r yQdoy^d/4
Position=P_TIR(5) jCxg)D7W
format short e; Pj 7n_&*/
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 1%k$9[ !l%
format short; MtXTh*4
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%DDE Connection E;Q
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TP_COMMAND = ddeinit('TracePro','Scheme'); HN ~
%Create TIR (@ixV$Y
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)))']; G;yh$n<"
ddeexec(TP_COMMAND,cmd); Ika(ip#]=
cmd =['(entity:move TIR 0 0 -2.3712)']; 5~E'21hJ
ddeexec(TP_COMMAND,cmd); jLCZ
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cmd =['(property:apply-name TIR "TIR")']; d'*:2;)g^
ddeexec(TP_COMMAND,cmd); Gb_y"rx?0
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%Feedback dimensions of Lens part TIR d,* #yzO
result='Core系数如下：' " twq#Alx
Thickness=Py_TIR(num_TIR)-P_Core(5)+d } 0x'm
Aperture=r WJF#+)P:Y
Obstruction='None' qgk6 \&K[
Position=P_Core(5) L> {p>
format short e; g!.k>
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] uBqZ62{G
format short; Z hYOz
%Create Core I+g[
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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)))']; >uVr;,=y
ddeexec(TP_COMMAND,cmd); _NkbB"+L
cmd =['(entity:move Core 0 0 5.9493)']; XfYhLE
ddeexec(TP_COMMAND,cmd); w//L2.
cmd =['(property:apply-name Core "Core")']; /G& %T
ddeexec(TP_COMMAND,cmd); ^Uq"hT(41
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%Create Lens XXA1%Lw%
cmd =['(define Unite (bool:unite TIR Core))']; CH4 ~9mmE
ddeexec(TP_COMMAND,cmd); t182&gpd`
cmd =['(define block (insert:block 100 100 100))']; #0gwN2Nv"L
ddeexec(TP_COMMAND,cmd); lCC( N?%Q
cmd =['(entity:move block 0 0 -50)']; \'.#of
ddeexec(TP_COMMAND,cmd); _5JwJcQ
cmd =['(define Lens (bool:subtract Unite block))']; kZJ.G
ddeexec(TP_COMMAND,cmd); 8e*1L:oB!
cmd =['(property:apply-name Lens "Lens")']; d/!R;,^
ddeexec(TP_COMMAND,cmd); 4;.y>~z
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%Close the DDE connection p`}'-A|@
ddeterm(TP_COMMAND); v\3}5v%YI
