[求助]matlab画准直透镜曲线？ [复制链接]

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算出来也就自然画出来了啊

谢谢哈~

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看看e:matlab画准直透镜曲线？

程序如下： M#=] k  
% By Ruibin 08-9-25 pFHz"]  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. (C@~3!AVa  
.On|uC)!  
clear all;clc nC}6B).el  
x`dHJq`_g  
% The Frist Step: Define independent parameters vc+ARgvH+  
r=3.25;               %选择开孔半径 4@ML3d/  
R=4.25;               %定义曲面底部半径 (3#Cl 1]f  
d=1;                  %设置透镜前方平板高度 ,J{ei7TN  
n=1.4935;             %定义材料折射率 v!ujj5-$I  
dividing_angle=24;    %定义Core与TIR的分界角 ],J
EBt  
min_angle=1;          %设置计算精度 m:WyuU<  
N=4;                  %设定拟合非球面系数阶数 ?hWwj6i&  
\&iP`v`K  
% The Second Step：Caculate induced variable [zlN!.Z  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); W034N[9  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 0Emr<n  
for i=1:(num_Core) B
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a_Core(i)=(angles_Core(i)*pi/180); X90J!  
k1(i)=cot(a_Core(i)); *i- _6s  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); kLni{IYN7  
end .72S oT  
k1(num_Core)=999;k2(num_Core)=0; V8HnUuz  
for i=1:num_TIR @g$Gti  
a_TIR(i)=(angles_TIR(i)*pi/180); :SGF45>B@  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); %y|)=cm[  
k4(i)=tan(asin(cos(a_TIR(i))/n)); `^FGwx@  
end KOp162X>r  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 0\@dYPa&C  
(h5'9r  
% The Third Step:Solve functions OQ>x5?um  
for i=1:num_Core                    %Solve the curve of Core #&m0WI1  
syms x; l#H#+*F  
f1=k1(i)*x; 8&3V#sn'  
f2=k2(i)*(x-X0_Core)+Y0_Core; :I:!BXQT$  
f=f1-f2; hDcEGU_  
x=double(solve(f));y=k1(i)*x; bBS,-vN  
X0_Core=x;Y0_Core=y; %d>=+Ds[  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; _&j}<K$-(  
end &b?LP]   
for i=1:num_TIR                      %Solve the curve of TIR rZfN+S,g  
syms x; OV%Q3$15  
f1=k3(i)*(x-X0_TIR)+Y0_TIR;
HN.3  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 7A\~)U@  
f=f1-f2; t0nI('LX,  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; &znQ;NH#  
X0_TIR=x;Y0_TIR=y; e=Z, Jg  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; kRTwaNDOD  
end Ircp``g  
|/2y-[
;:  
% The furth Step:Fitting the curve %ix)8+Eb  
P_Core=polyfit(Px_Core,Py_Core,4); }p!HT6 tZ  
P_TIR=polyfit(Px_TIR,Py_TIR,4); hlJq-*6'  
t7m>A-I
  
% The fifth Step:Feedback chief dimensions of the lens and Create it 9P~\Mpk  
%Feedback dimensions of the whole lens Q`rF&)Q5  
result='透镜尺寸如下：' &%s8L\?  
Diameter_of_lens=2*Px_TIR(num_TIR) HE'2"t[a  
Thickness_of_lens=Py_TIR(num_TIR)+d 8 XICF  
Diameter_of_Core=2*r &g.+V/<[  
Thickness_of_front_pannel=d 5o6>T!
 
Bottom_thickness=R-r h~p>re  
Lowest_Core=P_Core(5) m^H21P"z  
#%D_Y33;  
%Feedback dimensions of Lens part TIR +> WM[o^I  
result='TIR系数如下：' (d<4"!  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d Mnz!nWhk  
Aperture=Px_TIR(num_TIR) B';6r4I-  
Obstruction=r VH(S=G5Yb  
Position=P_TIR(5) 8:#rA*Y  
format short e; rN%F) q#  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] rDQ!zlg>l  
format short; ,Vh{gm1  
)*Q-.Je/U  
%DDE Connection |{@8m9JR  
TP_COMMAND = ddeinit('TracePro','Scheme'); KGWyJ  
%Create TIR &CIVL#];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)))']; g=2Rqi5  
ddeexec(TP_COMMAND,cmd); +{/*z  
cmd =['(entity:move TIR 0 0 -2.3712)']; sp ]zbX?  
ddeexec(TP_COMMAND,cmd); h~(D@/tB  
cmd =['(property:apply-name TIR "TIR")']; 8Y_ol#\L  
ddeexec(TP_COMMAND,cmd); ,uPJ_oZs  
'/$d0`3B>  
%Feedback dimensions of Lens part TIR :OkT? (i  
result='Core系数如下：' <]T`3W9  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d [ e8x&{L-_  
Aperture=r ]b=P=
 
Obstruction='None' w1Ec_y{  
Position=P_Core(5) *JaqTI,e  
format short e; y8 KX<2s1  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] N*`b%XGn3  
format short; Ga^Zb^y  
%Create Core n f.wCtf].  
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)))'];  (:";i&  
ddeexec(TP_COMMAND,cmd); J%jB?2 1:o  
cmd =['(entity:move Core 0 0 5.9493)']; #."Hh<C  
ddeexec(TP_COMMAND,cmd); (C\hVy2X?N  
cmd =['(property:apply-name Core "Core")']; :Mcu  
ddeexec(TP_COMMAND,cmd); 
A^RR@D  
p<&Xd}]"^W  
%Create Lens \/SQ,*O  
cmd =['(define Unite (bool:unite TIR Core))']; J8"[6vId~  
ddeexec(TP_COMMAND,cmd); K3' niGT  
cmd =['(define block (insert:block 100 100 100))']; tBm_YP[  
ddeexec(TP_COMMAND,cmd); NO0"*c;  
cmd =['(entity:move block 0 0 -50)']; Z{ u a=0  
ddeexec(TP_COMMAND,cmd); DwV4o^J:l  
cmd =['(define Lens (bool:subtract Unite block))'];
HoLv`JA  
ddeexec(TP_COMMAND,cmd); 8UMFq  
cmd =['(property:apply-name Lens "Lens")']; ^47PLLRP  
ddeexec(TP_COMMAND,cmd); u1~9{"P*  
Zo}y(N1K}  
%Close the DDE connection [J C:  
ddeterm(TP_COMMAND); NziZTU}
 

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