程序如下： q SNCBn '
% By Ruibin 08-9-25 $9X+dvu*
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. OInl?_,,T#
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clear all;clc 86{>X5 +
gxl7j Y
% The Frist Step: Define independent parameters k ;^$Pd?t
r=3.25; %选择开孔半径 'W(u.
R=4.25; %定义曲面底部半径 h r];!.Fv
d=1; %设置透镜前方平板高度 ^.6yzlY
n=1.4935; %定义材料折射率 ~LS</_N
dividing_angle=24; %定义Core与TIR的分界角 C][$0
min_angle=1; %设置计算精度 !i t orSl
N=4; %设定拟合非球面系数阶数 zcP=+Y)YA
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% The Second Step：Caculate induced variable ?z.?(xZ 6
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); o ks;G([
num_Core=length(angles_Core);num_TIR=length(angles_TIR); [`@M!G.
for i=1:(num_Core) "B {3q`(
a_Core(i)=(angles_Core(i)*pi/180); K%dQ; C*?
k1(i)=cot(a_Core(i)); "% Ok3Rvv
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ~3.*b% ,
end cTq@"v di
k1(num_Core)=999;k2(num_Core)=0; ,1{qZ(l1
for i=1:num_TIR A1pr YD
a_TIR(i)=(angles_TIR(i)*pi/180); MSmr7%g3D
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); ?+Gt?-! 5q
k4(i)=tan(asin(cos(a_TIR(i))/n)); VNTbjn]
end r,JQR)l0@V
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); :xr^E]
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% The Third Step:Solve functions jkL=JAcf~
for i=1:num_Core %Solve the curve of Core Ca'B E# q
syms x; v^ ^Ibv
f1=k1(i)*x; Es+ I]o0K
f2=k2(i)*(x-X0_Core)+Y0_Core; !CU-5bpu
f=f1-f2; b1?^9c#0 d
x=double(solve(f));y=k1(i)*x; Sh(ys*y>
X0_Core=x;Y0_Core=y; TX=894{nGh
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; Wo
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end >8"(go+02
for i=1:num_TIR %Solve the curve of TIR S
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syms x; hV(^Y)f
f1=k3(i)*(x-X0_TIR)+Y0_TIR; C >Hdp_Lm
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ',R%Q0Q
f=f1-f2; @/ ^< 9
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; G[ U5R?/
X0_TIR=x;Y0_TIR=y; `o{ Z; -OF
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; u:APGR ^
end $Y7VA
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% The furth Step:Fitting the curve U3N
d\b'0
P_Core=polyfit(Px_Core,Py_Core,4); (B4)L %
P_TIR=polyfit(Px_TIR,Py_TIR,4); 2A\b-;4EP
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% The fifth Step:Feedback chief dimensions of the lens and Create it C4(xtSJSd!
%Feedback dimensions of the whole lens #$Zx ].[lc
result='透镜尺寸如下：' ,
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Diameter_of_lens=2*Px_TIR(num_TIR) NWn* _@7;
Thickness_of_lens=Py_TIR(num_TIR)+d O8 .iP+
Diameter_of_Core=2*r 6]iU-k0b
Thickness_of_front_pannel=d lNx P
Bottom_thickness=R-r Led\S;pl
Lowest_Core=P_Core(5) UE^o}Eyg
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%Feedback dimensions of Lens part TIR /[_aK0 U3
result='TIR系数如下：' 82@^vX
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d Gl>\p
Aperture=Px_TIR(num_TIR) =Smd/'`_
Obstruction=r 8vuTF*{yZ
Position=P_TIR(5) N~flao ^
format short e; Jpduk&u
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)]
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format short; / ]8e[t>!f
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%DDE Connection +r!NR?^ m
TP_COMMAND = ddeinit('TracePro','Scheme'); h |]cZMGo
%Create TIR ow \EL
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)))']; \=WPJm`p
ddeexec(TP_COMMAND,cmd); `R2Iw
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cmd =['(entity:move TIR 0 0 -2.3712)']; r\"R?P$y|
ddeexec(TP_COMMAND,cmd); z"
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cmd =['(property:apply-name TIR "TIR")']; 4tm%F\Izy
ddeexec(TP_COMMAND,cmd); eOb--@~8
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%Feedback dimensions of Lens part TIR \C$e+qb~{
result='Core系数如下：'
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Thickness=Py_TIR(num_TIR)-P_Core(5)+d R*pPUw\yn
Aperture=r !(q@sw(
Obstruction='None' @ K!JE w\
Position=P_Core(5) </;e$fh`
format short e; Lan|(!aW
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 9xbT?$^
format short; oIO@ #
%Create Core CtMqE+j^
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)))']; KWo Ps%G
ddeexec(TP_COMMAND,cmd); bJ n&Y
cmd =['(entity:move Core 0 0 5.9493)']; 9@CRL=
ddeexec(TP_COMMAND,cmd); G%HG6
cmd =['(property:apply-name Core "Core")']; iN8[^,2H|
ddeexec(TP_COMMAND,cmd); i&H^xgm
}6^5mhsL
%Create Lens Evj%$7H1L1
cmd =['(define Unite (bool:unite TIR Core))']; %JDQ[%3qY
ddeexec(TP_COMMAND,cmd); s3s RMB2
cmd =['(define block (insert:block 100 100 100))']; )&T 5 /+
ddeexec(TP_COMMAND,cmd); ?jz\[0)s
cmd =['(entity:move block 0 0 -50)']; Jd/d\P
ddeexec(TP_COMMAND,cmd); e'uC:O.u
cmd =['(define Lens (bool:subtract Unite block))']; oF$#7#0`;8
ddeexec(TP_COMMAND,cmd); 9] +zZP_#
cmd =['(property:apply-name Lens "Lens")']; k}:;`ST
ddeexec(TP_COMMAND,cmd); 5 { (4 %
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%Close the DDE connection j~Pw t9G
ddeterm(TP_COMMAND); i tNuY<"
