[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： 0uO=wOIhH  
% By Ruibin 08-9-25 uo'31V0  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. yPh2P5}H>  
g
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clear all;clc 'F"Y?y:!  
Pph8"`mv.m  
% The Frist Step: Define independent parameters xTFrrmxOf  
r=3.25;               %选择开孔半径 )]c3bMVE-  
R=4.25;               %定义曲面底部半径 =/JF-#n/MA  
d=1;                  %设置透镜前方平板高度 )QCM2  
n=1.4935;             %定义材料折射率 {hRie+  
dividing_angle=24;    %定义Core与TIR的分界角 /dJ)TW(Ir  
min_angle=1;          %设置计算精度 0O,T=z[+>  
N=4;                  %设定拟合非球面系数阶数 9me}&Fdr  
X0Z-1bs  
% The Second Step：Caculate induced variable 14n="-9  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); ~K-*q{6Q  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); B5,QJ W*  
for i=1:(num_Core) &M3ES}6  
a_Core(i)=(angles_Core(i)*pi/180); ,mjfZ*N  
k1(i)=cot(a_Core(i)); Q|= Q]$d  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); G</I%qM  
end nOal7BNN  
k1(num_Core)=999;k2(num_Core)=0; K+@eH#Cv,(  
for i=1:num_TIR ezr\T  
a_TIR(i)=(angles_TIR(i)*pi/180); n^pZXb;Y  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 7XVzd]jH  
k4(i)=tan(asin(cos(a_TIR(i))/n)); leES YSY:  
end {#1j"  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); v=.z|QD^1  
of'ZNQ/  
% The Third Step:Solve functions OVUs]uK
 
for i=1:num_Core                    %Solve the curve of Core En,)}yI  
syms x; 0i*'N ch#i  
f1=k1(i)*x; E
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f2=k2(i)*(x-X0_Core)+Y0_Core; ~S^X"8(U  
f=f1-f2; 5&<d2EG6l'  
x=double(solve(f));y=k1(i)*x; i,'Ka[6   
X0_Core=x;Y0_Core=y; fEj9R@u+h  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 50`iCD  
end @Xve qUUU  
for i=1:num_TIR                      %Solve the curve of TIR "s>fV9YyZ  
syms x; oF;%^XFp  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; aI={,\  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); P^8^1-b  
f=f1-f2; %9QMzz5  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; WO.0K5nfk  
X0_TIR=x;Y0_TIR=y;  vr{'FMc  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; nxyjL)!)0  
end !_U37Uj<m  
;V(H7 ZM  
% The furth Step:Fitting the curve F<yy>Wf  
P_Core=polyfit(Px_Core,Py_Core,4); }{&ln  
P_TIR=polyfit(Px_TIR,Py_TIR,4); ha|@ Xp  
Q(IJD4  
% The fifth Step:Feedback chief dimensions of the lens and Create it Jt2,LL:G  
%Feedback dimensions of the whole lens 1KTabj/C  
result='透镜尺寸如下：' |;A9A's  
Diameter_of_lens=2*Px_TIR(num_TIR) 83KfM!w  
Thickness_of_lens=Py_TIR(num_TIR)+d <$jKy3@  
Diameter_of_Core=2*r _{6,.TN  
Thickness_of_front_pannel=d \}$*}gW[}  
Bottom_thickness=R-r 8%o~4u3  
Lowest_Core=P_Core(5) mb0n}I_AC  
4? m/*VV  
%Feedback dimensions of Lens part TIR i>Z|65  
result='TIR系数如下：'  6
R;)  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d VLcyPM@"Q!  
Aperture=Px_TIR(num_TIR) xClRO,-  
Obstruction=r 81g9ZV(4  
Position=P_TIR(5) N9i}p^F<_  
format short e; g!1I21M1~  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] %{R_^Y8t  
format short; ?SC3Vzr  
ow2M,KU6Z  
%DDE Connection { EA2  
TP_COMMAND = ddeinit('TracePro','Scheme'); B/jrYT$;m  
%Create TIR C
_8j:Z&  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; DpA\r_D  
ddeexec(TP_COMMAND,cmd); f5@.^hi[  
cmd =['(entity:move TIR 0 0 -2.3712)']; :3*`IB !  
ddeexec(TP_COMMAND,cmd); h ZoC _\  
cmd =['(property:apply-name TIR "TIR")']; fd4;mc1T  
ddeexec(TP_COMMAND,cmd); A)8rk_92Q  
/^w"' '  
%Feedback dimensions of Lens part TIR 6 -]>]Hr-  
result='Core系数如下：' <z^SZ~G  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d }%eD
EM  
Aperture=r aSRjFL^  
Obstruction='None' "?$L'!bM@  
Position=P_Core(5) xb%/sz(4  
format short e; csYy7uzi  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] !0`lu_ZN  
format short; 4Mk8Cpz  
%Create Core Jf2e<?`  
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)))']; x'@W=P 7   
ddeexec(TP_COMMAND,cmd); J;S-+  
cmd =['(entity:move Core 0 0 5.9493)']; -:MmSeG7gO  
ddeexec(TP_COMMAND,cmd); 8Bq-0=E  
cmd =['(property:apply-name Core "Core")']; jQ6Xr&}  
ddeexec(TP_COMMAND,cmd); FtE90=$  
> 84e`aGE  
%Create Lens )&>L !,z  
cmd =['(define Unite (bool:unite TIR Core))']; RF:04d  
ddeexec(TP_COMMAND,cmd); ThtMRB)9  
cmd =['(define block (insert:block 100 100 100))']; /w0
sj`;"  
ddeexec(TP_COMMAND,cmd); jDkm:X}:  
cmd =['(entity:move block 0 0 -50)']; Wu,S\!
 
ddeexec(TP_COMMAND,cmd); :WVSJ,. !  
cmd =['(define Lens (bool:subtract Unite block))']; 2SYKe$e  
ddeexec(TP_COMMAND,cmd); a~,Kz\Tt  
cmd =['(property:apply-name Lens "Lens")']; fTcY"A,2  
ddeexec(TP_COMMAND,cmd); QCWf.@n  
)T9~8p.  
%Close the DDE connection *#zS^b n  
ddeterm(TP_COMMAND); "e@n:N!  

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