[求助]matlab画准直透镜曲线？ [复制链接]

謝謝大大的分享

算出来也就自然画出来了啊

谢谢哈~

看一下

下来看看

学习一下

看看吧

看看e:matlab画准直透镜曲线？

程序如下： =$Mf:F@  
% By Ruibin 08-9-25 C6[W/,eS  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. =V]0G,,\  
(z>t4(%\  
clear all;clc -1Dq_!i  
@U18Dj[  
% The Frist Step: Define independent parameters ^L5-2;s<U'  
r=3.25;               %选择开孔半径 /
n_s"[I4  
R=4.25;               %定义曲面底部半径 Jr( =Y@Z'  
d=1;                  %设置透镜前方平板高度 cd1G.10  
n=1.4935;             %定义材料折射率 T"[]'|'  
dividing_angle=24;    %定义Core与TIR的分界角 ^\AeX-q2v'  
min_angle=1;          %设置计算精度 uyxYCc  
N=4;                  %设定拟合非球面系数阶数 Hl0" zS[  
jZzTnmm&?  
% The Second Step：Caculate induced variable @]vY[O!&;  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); !*}UP|8  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); <kdlXS>J.  
for i=1:(num_Core) ?}Zt&(#  
a_Core(i)=(angles_Core(i)*pi/180); W\k8f+Ke  
k1(i)=cot(a_Core(i)); UMR?q0J  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2);
/j$=?Rp  
end WA8<:#{e  
k1(num_Core)=999;k2(num_Core)=0; A}SGw.3  
for i=1:num_TIR Si>38vCJ*  
a_TIR(i)=(angles_TIR(i)*pi/180); R,G*]/r`  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); lb.Q^TghU  
k4(i)=tan(asin(cos(a_TIR(i))/n)); OALNZKP  
end 2Q
p}f^  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); dHUbaf:e)T  
\]V:>=ry>  
% The Third Step:Solve functions L"|Bm{Run  
for i=1:num_Core                    %Solve the curve of Core Q!;syJBb.  
syms x; & "&s,  
f1=k1(i)*x; ={)85N  
f2=k2(i)*(x-X0_Core)+Y0_Core; Sp80xV_B  
f=f1-f2; l,7& z  
x=double(solve(f));y=k1(i)*x; din,yHu~  
X0_Core=x;Y0_Core=y; 4u6 FvN  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; SlG v  
end A/>Q5)  
for i=1:num_TIR                      %Solve the curve of TIR N s+g9+<A  
syms x; ;Zd_2CZ  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; qT@h/Y  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); G kjfDY:  
f=f1-f2; 985F(r  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; $V(]z`b&  
X0_TIR=x;Y0_TIR=y; Reikf}9Q  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; vd4@jZ5  
end dtC@cK/,D  
HU $"o6ap  
% The furth Step:Fitting the curve 2'Dl$DH  
P_Core=polyfit(Px_Core,Py_Core,4); X ."z+-eh  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 'w+]kt-  
{h?pvH_>  
% The fifth Step:Feedback chief dimensions of the lens and Create it Y[6T7eZ0g  
%Feedback dimensions of the whole lens s1D<R,J|H  
result='透镜尺寸如下：' eWcqf/4?"  
Diameter_of_lens=2*Px_TIR(num_TIR) fY!?rZ)$  
Thickness_of_lens=Py_TIR(num_TIR)+d JXK\mah  
Diameter_of_Core=2*r <:v+<)K  
Thickness_of_front_pannel=d \X8b!41  
Bottom_thickness=R-r !CGX\cvW  
Lowest_Core=P_Core(5) );gY8UL^  
/I`TN5~  
%Feedback dimensions of Lens part TIR bmv8nal<Y  
result='TIR系数如下：' t)zd'[  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d OyZR&,q  
Aperture=Px_TIR(num_TIR) uQ5h5Cfz  
Obstruction=r 5naFnm7%  
Position=P_TIR(5) ZRagM'K  
format short e; /MF 7ZvN.  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] !DZ=`a?y  
format short; i.Rl
&t  
#d-({blo<  
%DDE Connection y&NqVR=  
TP_COMMAND = ddeinit('TracePro','Scheme'); 5*YoK)2J  
%Create TIR X.fVbePxUU  
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)))']; V.GM$  
ddeexec(TP_COMMAND,cmd); TpKAdrY  
cmd =['(entity:move TIR 0 0 -2.3712)']; F^yW3|Sb  
ddeexec(TP_COMMAND,cmd); &h334N|4{  
cmd =['(property:apply-name TIR "TIR")']; "I.
6/9  
ddeexec(TP_COMMAND,cmd); +F;2FD$  
"\b>JV5  
%Feedback dimensions of Lens part TIR v~nKO?{   
result='Core系数如下：' ]RCo@QW  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d NIV}hf YF  
Aperture=r <Ua~+U(FR0  
Obstruction='None' {[H_Vl@  
Position=P_Core(5) | &X<-  
format short e; I=0c\ U}  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] *2/Jg'de  
format short; Q|(}rIWOQA  
%Create Core /Q1*Vh4  
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)))']; TA[%eMvA  
ddeexec(TP_COMMAND,cmd); pR S!  
cmd =['(entity:move Core 0 0 5.9493)']; 2*NPK}  
ddeexec(TP_COMMAND,cmd); tdm7MPM  
cmd =['(property:apply-name Core "Core")']; {iD/0q  
ddeexec(TP_COMMAND,cmd); C`.YOkpj  
P<]U  
%Create Lens ]Ur/DRNS  
cmd =['(define Unite (bool:unite TIR Core))']; +A3/^C0  
ddeexec(TP_COMMAND,cmd); B7%,D}  
cmd =['(define block (insert:block 100 100 100))']; >tM4|w|  
ddeexec(TP_COMMAND,cmd); $BwWQ?lp  
cmd =['(entity:move block 0 0 -50)']; )CFJXc:  
ddeexec(TP_COMMAND,cmd); ._}}@V_/  
cmd =['(define Lens (bool:subtract Unite block))']; z=D5*  
ddeexec(TP_COMMAND,cmd); Af|h*V4Xu  
cmd =['(property:apply-name Lens "Lens")']; qez
WfR`  
ddeexec(TP_COMMAND,cmd); fbq$:Q44
 
j 3<Ci {3  
%Close the DDE connection Q0
J1"*P0  
ddeterm(TP_COMMAND); #w{`6}p  

学习学习