[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： IP<]a5  
% By Ruibin 08-9-25 Dfz3\|LJ  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 9=RfGx  
re}_+svU  
clear all;clc N(ov.l;  
.t53+<A  
% The Frist Step: Define independent parameters J[0o6  
r=3.25;               %选择开孔半径 <yt|!p-tS  
R=4.25;               %定义曲面底部半径 B L^?1x  
d=1;                  %设置透镜前方平板高度 1V/?p<A  
n=1.4935;             %定义材料折射率 ArK%?*`5  
dividing_angle=24;    %定义Core与TIR的分界角 U0X,g(2'  
min_angle=1;          %设置计算精度 #POVu|Y;h  
N=4;                  %设定拟合非球面系数阶数 
^W8kt  
KAkD" (!  
% The Second Step：Caculate induced variable ZRCm
'p3  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); o,(]w kF  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); OQ*BPmS-   
for i=1:(num_Core) kn5X:@{  
a_Core(i)=(angles_Core(i)*pi/180); ;-]' OiS;  
k1(i)=cot(a_Core(i)); L[s7q0 F`l  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); cJ^{iOQ+  
end n VNz5B  
k1(num_Core)=999;k2(num_Core)=0; (Mzv"FN]  
for i=1:num_TIR Dt]N&E#\D  
a_TIR(i)=(angles_TIR(i)*pi/180); )/87<Y;o  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); ~9ZW~z'  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 'DeI]IeP  
end O%m\ Q1  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Z.QgL=  
Mn>/\e  
% The Third Step:Solve functions nXRT%[o&  
for i=1:num_Core                    %Solve the curve of Core ?Sj>b  
syms x; ^osXM`  
f1=k1(i)*x; [uLwr$N<%L  
f2=k2(i)*(x-X0_Core)+Y0_Core; GBg~NkC7.  
f=f1-f2; Vf*Z}'  
x=double(solve(f));y=k1(i)*x; u2 a#qU5*  
X0_Core=x;Y0_Core=y; fex<9'e  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; w ag^Sk  
end v}`{OE:-J  
for i=1:num_TIR                      %Solve the curve of TIR r `;_ #&b  
syms x; ,h<xL-  
f1=k3(i)*(x-X0_TIR)+Y0_TIR;
Q# Yba  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); -ZVCb@%  
f=f1-f2; [aS<u`/g|  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; -Z(='A
 
X0_TIR=x;Y0_TIR=y; q}xYme4  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; d8!yV~Ka  
end VZ3{$0 +  
chC= $(5t  
% The furth Step:Fitting the curve T9'd?nw9  
P_Core=polyfit(Px_Core,Py_Core,4); 93[&'  
P_TIR=polyfit(Px_TIR,Py_TIR,4); F$6JzF$|F  
sF4+(9=  
% The fifth Step:Feedback chief dimensions of the lens and Create it je#OV,uHM  
%Feedback dimensions of the whole lens ]I^b&N  
result='透镜尺寸如下：' `uh+d  
Diameter_of_lens=2*Px_TIR(num_TIR) &#< M o  
Thickness_of_lens=Py_TIR(num_TIR)+d FL|\D  
Diameter_of_Core=2*r fw3P?_4;*  
Thickness_of_front_pannel=d 6k9cvMs%H  
Bottom_thickness=R-r \?_M_5Nb  
Lowest_Core=P_Core(5) rgw@  
[:BD9V  
%Feedback dimensions of Lens part TIR *ufVZzP(  
result='TIR系数如下：' b2r]>*Vc  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d UKpc3Jo:~  
Aperture=Px_TIR(num_TIR) "p@EY|Zv%I  
Obstruction=r pNnZ-R|u  
Position=P_TIR(5) 5._1G| 3  
format short e; S HxD(6  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] FQh8(^(  
format short; f`vu+nw  
n@te.,?A"  
%DDE Connection e2_p7   
TP_COMMAND = ddeinit('TracePro','Scheme'); %y|L'C,ge"  
%Create TIR )R^&u`k  
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)))']; E (.~[-K4  
ddeexec(TP_COMMAND,cmd); q|zips,  
cmd =['(entity:move TIR 0 0 -2.3712)']; !)4'[5t"U  
ddeexec(TP_COMMAND,cmd); =9!|%j  
cmd =['(property:apply-name TIR "TIR")']; /g)(  
ddeexec(TP_COMMAND,cmd); XVfw0-O  
P y!$r  
%Feedback dimensions of Lens part TIR :\F1S:&P  
result='Core系数如下：' f2iA5 rCV]  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ){I!orQ  
Aperture=r 3C gmZ7[  
Obstruction='None' Ud& '*,  
Position=P_Core(5) oJ.5! Kg  
format short e; [/Sk+ID  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] -{z<+(K!$  
format short; /T<))@$  
%Create Core =/e
$Rp  
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)))']; `lcQ Yd<,4  
ddeexec(TP_COMMAND,cmd); 2|A?9aE%0  
cmd =['(entity:move Core 0 0 5.9493)']; S;^'Ek"Z.  
ddeexec(TP_COMMAND,cmd); x8!uI)#tS  
cmd =['(property:apply-name Core "Core")']; ]%2y`Jrl^W  
ddeexec(TP_COMMAND,cmd); L_sDbAT~<  
c5(4rT{(m  
%Create Lens _;mA(j  
cmd =['(define Unite (bool:unite TIR Core))']; 'm^]X3y*  
ddeexec(TP_COMMAND,cmd); lBzfBmEB  
cmd =['(define block (insert:block 100 100 100))']; 0[ZB^  
ddeexec(TP_COMMAND,cmd); #b9V&/ln  
cmd =['(entity:move block 0 0 -50)']; <nU8.?\?~  
ddeexec(TP_COMMAND,cmd); ?0tm{qP  
cmd =['(define Lens (bool:subtract Unite block))']; :MihVLF  
ddeexec(TP_COMMAND,cmd); }2hU7YWt  
cmd =['(property:apply-name Lens "Lens")']; B|K^:LUk9  
ddeexec(TP_COMMAND,cmd); tGJJ|mle>  
u<JkP <"S  
%Close the DDE connection <Rfx`mn  
ddeterm(TP_COMMAND); Hxx]q+DAS  

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