[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： 3"sXN)j  
% By Ruibin 08-9-25 o$Y#C{
wC%  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ~[f`oC  
Qkw?QV-`k  
clear all;clc L2wX?NA  
'dqecmB  
% The Frist Step: Define independent parameters YABi`;R]'  
r=3.25;               %选择开孔半径 =MvB9gx@r  
R=4.25;               %定义曲面底部半径 5hh6;)  
d=1;                  %设置透镜前方平板高度 5#y_EpL"  
n=1.4935;             %定义材料折射率 B4 5#-V  
dividing_angle=24;    %定义Core与TIR的分界角 P#V}l'j(<a  
min_angle=1;          %设置计算精度 SE(c_ sX  
N=4;                  %设定拟合非球面系数阶数 i5|)|x3  
*!j!o%MB  
% The Second Step：Caculate induced variable xSDTO$U8%  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle);
yivWT;`  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); LIKQQ  
for i=1:(num_Core) #hk5z;J5
 
a_Core(i)=(angles_Core(i)*pi/180); %xKZ"#Z#K  
k1(i)=cot(a_Core(i)); VGc.yM)& j  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); LXZI|K[}k  
end K=r~+4F  
k1(num_Core)=999;k2(num_Core)=0; GB;_!69I  
for i=1:num_TIR 8n:N#4Dh^  
a_TIR(i)=(angles_TIR(i)*pi/180); Q- w_@~  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); bR;.KC3C
 
k4(i)=tan(asin(cos(a_TIR(i))/n)); sk*vmxClY  
end 3sW!ya-VZ  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); $sUn'62JlU  
))nTd=  
% The Third Step:Solve functions Wc,`L$Jx  
for i=1:num_Core                    %Solve the curve of Core sXNb  
syms x; LDYa{w-t  
f1=k1(i)*x; ;.b^&h  
f2=k2(i)*(x-X0_Core)+Y0_Core; nyxoa/  
f=f1-f2; IVa6?f6H_  
x=double(solve(f));y=k1(i)*x; +n$ruoRJh  
X0_Core=x;Y0_Core=y; n&a\mGF  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 9M;Y$Z  
end @= =)  
for i=1:num_TIR                      %Solve the curve of TIR PS=q):R|  
syms x; /8<c~  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; E}THG=6  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); >;R7r|^k  
f=f1-f2; ((<\VQ,>(  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 'Sesh'2 /
 
X0_TIR=x;Y0_TIR=y; 5:#|Op N  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; _%23L|
 
end W}%"xy]N  
WF_QhKW|k  
% The furth Step:Fitting the curve _Vf>>tuW  
P_Core=polyfit(Px_Core,Py_Core,4); vp9wRGd  
P_TIR=polyfit(Px_TIR,Py_TIR,4); L"NfOST3'R  
l;&kX6 w  
% The fifth Step:Feedback chief dimensions of the lens and Create it mNEh\4ai  
%Feedback dimensions of the whole lens ] W$
V#  
result='透镜尺寸如下：' Y9&na&vY?  
Diameter_of_lens=2*Px_TIR(num_TIR) Oi]B%Uxy=  
Thickness_of_lens=Py_TIR(num_TIR)+d F S$8F  
Diameter_of_Core=2*r q~Al[`K  
Thickness_of_front_pannel=d Le{.B@2-"  
Bottom_thickness=R-r p L^3*B.Nr  
Lowest_Core=P_Core(5) N2Ysi$  
dV16'  
%Feedback dimensions of Lens part TIR FjLMN{eH/  
result='TIR系数如下：' k@h0 }%  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d ,oPxt  
Aperture=Px_TIR(num_TIR) & JJ*?Dl  
Obstruction=r r. (}  
Position=P_TIR(5) }B!io-}  
format short e; -WR<tkK  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] "Nz@jv?  
format short; ]ms+Va_/  
SJlE!MK  
%DDE Connection F6b;qb6n  
TP_COMMAND = ddeinit('TracePro','Scheme'); wZW\r!Us  
%Create TIR "dE[X` }=  
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)))']; y~\uS  
ddeexec(TP_COMMAND,cmd); ^]~!:Ej0  
cmd =['(entity:move TIR 0 0 -2.3712)']; ET 0(/Zz  
ddeexec(TP_COMMAND,cmd); <`NsX 6t  
cmd =['(property:apply-name TIR "TIR")']; !_;J@B  
ddeexec(TP_COMMAND,cmd); >,I'S2_Zl  
GCX?W`
  
%Feedback dimensions of Lens part TIR ll- KK`Ka  
result='Core系数如下：' 7s!rer>  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d rk@qcQR  
Aperture=r 065=I+Vo  
Obstruction='None' !(viXV5  
Position=P_Core(5) !^v~hD$_q  
format short e; fny6`_O  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 98 ]pkqp4  
format short; gW9`k,U  
%Create Core 
U~t!   
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; xU}J6 Tv  
ddeexec(TP_COMMAND,cmd); 7zJ2n/`m*  
cmd =['(entity:move Core 0 0 5.9493)']; %6m' |(-  
ddeexec(TP_COMMAND,cmd); =6i+K.}e  
cmd =['(property:apply-name Core "Core")']; @LDs$"f9=  
ddeexec(TP_COMMAND,cmd); *K@O3n   

Z glU{sU  
%Create Lens hY!>>  
cmd =['(define Unite (bool:unite TIR Core))']; W:6#0b"_#  
ddeexec(TP_COMMAND,cmd); n%iL+I  
cmd =['(define block (insert:block 100 100 100))']; /=A@O !l  
ddeexec(TP_COMMAND,cmd); C>mFyl
N  
cmd =['(entity:move block 0 0 -50)']; W- nS{v(  
ddeexec(TP_COMMAND,cmd); RrYNtc  
cmd =['(define Lens (bool:subtract Unite block))']; Msfxce  
ddeexec(TP_COMMAND,cmd); a"T+CA  
cmd =['(property:apply-name Lens "Lens")']; ]=I2:Rb  
ddeexec(TP_COMMAND,cmd); QD%6K=8Q  
mH5>50H;  
%Close the DDE connection rKdsVW  
ddeterm(TP_COMMAND); d6
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