[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： #E]59_  
% By Ruibin 08-9-25 b Zt3|  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. t,'<gI
 
TZ`SZDc7_  
clear all;clc JI5Dy>u:  
s^SJY{  
% The Frist Step: Define independent parameters pot~<d`:K"  
r=3.25;               %选择开孔半径 Mihg:  
R=4.25;               %定义曲面底部半径 pk~WrqK}  
d=1;                  %设置透镜前方平板高度 ;}t(Wnu.  
n=1.4935;             %定义材料折射率 adw2x pj  
dividing_angle=24;    %定义Core与TIR的分界角 4P0}+  
min_angle=1;          %设置计算精度 D{!IW!w  
N=4;                  %设定拟合非球面系数阶数 zreU')a  
T0 {Lq:  
% The Second Step：Caculate induced variable n`KY9[0U=  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); #;<Y[hR{P  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); =">NQ)98u  
for i=1:(num_Core) v>56~AJ  
a_Core(i)=(angles_Core(i)*pi/180); ~XIb\m9H  
k1(i)=cot(a_Core(i)); D,6:EV"sa  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); /O9EQPm(  
end +h$ 9\  
k1(num_Core)=999;k2(num_Core)=0; Ep}s}Stlr}  
for i=1:num_TIR nP$9CA  
a_TIR(i)=(angles_TIR(i)*pi/180); d'2A,B~_*  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); y)*RV;^  
k4(i)=tan(asin(cos(a_TIR(i))/n)); <uJ@:oWG7  
end ctUp=po  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Uz7<PLxd  
W%J\qA  
% The Third Step:Solve functions A=4OWV?  
for i=1:num_Core                    %Solve the curve of Core 5X+A"X ;C  
syms x; qb4z T
 
f1=k1(i)*x; He)%S]RLk  
f2=k2(i)*(x-X0_Core)+Y0_Core; BuwY3F\-O  
f=f1-f2; UI#h&j5pW  
x=double(solve(f));y=k1(i)*x; `2snz1>!j  
X0_Core=x;Y0_Core=y; {8aTV}Ha2  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ;);kEq/=P  
end 6wxs1G  
for i=1:num_TIR                      %Solve the curve of TIR M`>E|"<  
syms x; % `3jL7|  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; M}Sv8D]I  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 26nx`w?j(  
f=f1-f2; $^P0F9~0  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 4Up/p&1@  
X0_TIR=x;Y0_TIR=y; O84i;S+-p  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; xA
/D'  
end nwWJ7M,A  
v1[29t<I!  
% The furth Step:Fitting the curve ys~x$  
P_Core=polyfit(Px_Core,Py_Core,4); Dj+f
]~  
P_TIR=polyfit(Px_TIR,Py_TIR,4); TNth  
&vJH$R  
% The fifth Step:Feedback chief dimensions of the lens and Create it ]! dTG  
%Feedback dimensions of the whole lens weQ_*<5%  
result='透镜尺寸如下：' "8RSvT<W^5  
Diameter_of_lens=2*Px_TIR(num_TIR) ] @'!lhLi  
Thickness_of_lens=Py_TIR(num_TIR)+d q@qsp&0/  
Diameter_of_Core=2*r Zh,71Umz  
Thickness_of_front_pannel=d ,^:.dFH6  
Bottom_thickness=R-r R8Tx[CJ5  
Lowest_Core=P_Core(5) TO_e^A#  
yZRzIb_  
%Feedback dimensions of Lens part TIR ?0SEMmp`H  
result='TIR系数如下：' xmX 4qtAL  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d u"8yK5!  
Aperture=Px_TIR(num_TIR) 1,~D4lD|  
Obstruction=r OPi

0~s  
Position=P_TIR(5) `gJ(0#ac  
format short e; Vj-h;rB0z  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] P3%5?.S  
format short; nEfK53i_  
GmG5[?)  
%DDE Connection %*U'@r(A  
TP_COMMAND = ddeinit('TracePro','Scheme'); G6/m#  
%Create TIR iwq!w6+  
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)))']; GeqPRah  
ddeexec(TP_COMMAND,cmd); qLCR] _*  
cmd =['(entity:move TIR 0 0 -2.3712)']; 2T1q
?L?]  
ddeexec(TP_COMMAND,cmd); -} +[  
cmd =['(property:apply-name TIR "TIR")']; 2/f}S?@   
ddeexec(TP_COMMAND,cmd); CAe!7HiR  
R/_&m$ZB  
%Feedback dimensions of Lens part TIR omFz@  
result='Core系数如下：' @c#(.=  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d =v\.h=~~  
Aperture=r lMt=|66  
Obstruction='None' O<I-
  
Position=P_Core(5) fOHxtHM  
format short e;  bLL2  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 3 {V>S,O3]  
format short; QnDg6m)+  
%Create Core D=$)n_F  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; YQ}o?Q$z  
ddeexec(TP_COMMAND,cmd); ~rm_vo  
cmd =['(entity:move Core 0 0 5.9493)']; -/4P3SG/
 
ddeexec(TP_COMMAND,cmd); jo7\`#(Q  
cmd =['(property:apply-name Core "Core")']; o4;(Zi#Z  
ddeexec(TP_COMMAND,cmd); vX>)je
5#  
b$7 +;I;  
%Create Lens ~,Qp^"rlW  
cmd =['(define Unite (bool:unite TIR Core))']; *i,%,O96Nz  
ddeexec(TP_COMMAND,cmd); NHt\ U9l'  
cmd =['(define block (insert:block 100 100 100))']; [;N'=]`  
ddeexec(TP_COMMAND,cmd); SJLis"8  
cmd =['(entity:move block 0 0 -50)']; 2!\DPX  
ddeexec(TP_COMMAND,cmd); N[hG8f  
cmd =['(define Lens (bool:subtract Unite block))']; [Pp'Ye~K@c  
ddeexec(TP_COMMAND,cmd); =D(j)<9$A  
cmd =['(property:apply-name Lens "Lens")']; xo)P?-  
ddeexec(TP_COMMAND,cmd); ]|@^1we  
<v2;p}A  
%Close the DDE connection ^ 9sjj  
ddeterm(TP_COMMAND); jdN`mosJ  

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