[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： 6F!B*lr  
% By Ruibin 08-9-25 5?F5xiW  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. lyX3'0c  
M,S'4Szuk  
clear all;clc RYA@{.O  
/W)A[jR  
% The Frist Step: Define independent parameters zxx\jpBBk  
r=3.25;               %选择开孔半径 ~x!up9  
R=4.25;               %定义曲面底部半径 5e$1KN`  
d=1;                  %设置透镜前方平板高度 ;<N:!$p  
n=1.4935;             %定义材料折射率 Hc=QSP  
dividing_angle=24;    %定义Core与TIR的分界角 C&>*~  
min_angle=1;          %设置计算精度 h#"$W;(  
N=4;                  %设定拟合非球面系数阶数 >> "gb/x,  
V0v,s^\H  
% The Second Step：Caculate induced variable F^'$%XKV  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); chKK9SC+|  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); ,#UZp\zZ*  
for i=1:(num_Core) e~'lWJD  
a_Core(i)=(angles_Core(i)*pi/180); ?T2>juf]5~  
k1(i)=cot(a_Core(i)); EC;>-s  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); }1e4u{  
end Z.Yq)\it  
k1(num_Core)=999;k2(num_Core)=0; Hl0" zS[  
for i=1:num_TIR R`cP%7K  
a_TIR(i)=(angles_TIR(i)*pi/180); _yv#v_Z  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); -1,0hmn=+  
k4(i)=tan(asin(cos(a_TIR(i))/n)); OIL8'xY.w  
end &K\80wGK  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 3y6\0|{1  
?:J_+?{E  
% The Third Step:Solve functions vUJ;D  
for i=1:num_Core                    %Solve the curve of Core N o6!gZ1  
syms x; ,< x/  
f1=k1(i)*x;
)^ Y+Vn  
f2=k2(i)*(x-X0_Core)+Y0_Core; bsF_.S*k@  
f=f1-f2; \~ChbPnc  
x=double(solve(f));y=k1(i)*x; Fs(PVN  
X0_Core=x;Y0_Core=y; C)z4Cn9#  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; N!7}B  
end hr}f5Z)^v  
for i=1:num_TIR                      %Solve the curve of TIR tO8\} u4c  
syms x; w!7ApEH1  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Zk%@GOu\  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 5,1<A@H  
f=f1-f2; H\Ra*EO~j  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; e4tIO   
X0_TIR=x;Y0_TIR=y; d fj23+  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; YpDJ(61+  
end ^ ~Eh+  
{h@\C|nF  
% The furth Step:Fitting the curve P9bM+@5e  
P_Core=polyfit(Px_Core,Py_Core,4); 2|,L 9  
P_TIR=polyfit(Px_TIR,Py_TIR,4); ?eIb7O  
x,,y}_YX  
% The fifth Step:Feedback chief dimensions of the lens and Create it tp] 5[U  
%Feedback dimensions of the whole lens [yXmnrxA  
result='透镜尺寸如下：' 3F2IL)Hn  
Diameter_of_lens=2*Px_TIR(num_TIR) |#@7$#j  
Thickness_of_lens=Py_TIR(num_TIR)+d -`~qmRpqY  
Diameter_of_Core=2*r B`B=bn+4  
Thickness_of_front_pannel=d z%YNZ^d  
Bottom_thickness=R-r /l*v *tl  
Lowest_Core=P_Core(5) ('5?-  
OOqT0wN  
%Feedback dimensions of Lens part TIR ?{S>%P A_B  
result='TIR系数如下：' 35& ^spb  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d ,-#MEr  
Aperture=Px_TIR(num_TIR) EL?(D  
Obstruction=r =%X."i1A  
Position=P_TIR(5) $N=&D_Q  
format short e; y|5s  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] xol%\$|  
format short; *): |WDR  
9(N  
%DDE Connection exb} y  
TP_COMMAND = ddeinit('TracePro','Scheme'); r<UVO$N  
%Create TIR >!=@TK(~  
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)))']; d05xn7%!{  
ddeexec(TP_COMMAND,cmd); .11l(M  
cmd =['(entity:move TIR 0 0 -2.3712)']; 1>J.kQR^  
ddeexec(TP_COMMAND,cmd); p R'J4~  
cmd =['(property:apply-name TIR "TIR")'];
ENTcTrTn  
ddeexec(TP_COMMAND,cmd); G(&[1V%x  
a: "1LnvR  
%Feedback dimensions of Lens part TIR $o[-xNn1  
result='Core系数如下：' m-AF&( ;K  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d PJ.\)oP  
Aperture=r -tg|y  
Obstruction='None' F0:]@0>r  
Position=P_Core(5) 4[gmA  
format short e; D\Ak-$kJ^  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] b#6S8C+@  
format short; ]Y\$U<YjO  
%Create Core z#tIa  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; w]wZJ/U`  
ddeexec(TP_COMMAND,cmd); v Y[s#*+  
cmd =['(entity:move Core 0 0 5.9493)']; tIuM9D{P  
ddeexec(TP_COMMAND,cmd); ,;g%/6X  
cmd =['(property:apply-name Core "Core")']; ^Oz~T
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ddeexec(TP_COMMAND,cmd); OyTK,i<n  
`|'w]rj:"+  
%Create Lens is<:}z  
cmd =['(define Unite (bool:unite TIR Core))']; j6qtR$l|  
ddeexec(TP_COMMAND,cmd); C]ss'  
cmd =['(define block (insert:block 100 100 100))']; l]]NVBA])  
ddeexec(TP_COMMAND,cmd); \*$^}8  
cmd =['(entity:move block 0 0 -50)']; hi8q?4jE  
ddeexec(TP_COMMAND,cmd); %SmOP sz  
cmd =['(define Lens (bool:subtract Unite block))']; E|@C:ghG  
ddeexec(TP_COMMAND,cmd); KdEvu?  
cmd =['(property:apply-name Lens "Lens")']; =6sP`:  
ddeexec(TP_COMMAND,cmd); 7
Lm9I  
8+'}`  
%Close the DDE connection T)! }Wvv  
ddeterm(TP_COMMAND); <XeDJ8 '  

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