[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： 8)3*6+D  
% By Ruibin 08-9-25 |\t-g"~sN  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 
f:w?pE  

9(7-{,c  
clear all;clc ~2N"#b&J  
1Z2HUzqh.  
% The Frist Step: Define independent parameters ({)+3]x  
r=3.25;               %选择开孔半径 )}(^, Fo c  
R=4.25;               %定义曲面底部半径 cn3\k
T*  
d=1;                  %设置透镜前方平板高度 w<3#1/g!2B  
n=1.4935;             %定义材料折射率 ~?Pw& K2  
dividing_angle=24;    %定义Core与TIR的分界角 $dC?Tl|B0  
min_angle=1;          %设置计算精度 fu ,}1Mq#  
N=4;                  %设定拟合非球面系数阶数 ZzpUUH/r  
nEy&>z  
% The Second Step：Caculate induced variable e}7lBLK]*  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); "| g>'wM*  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); ^*Q ?]N  
for i=1:(num_Core) MK~8}x2K  
a_Core(i)=(angles_Core(i)*pi/180); j0aXyLNX  
k1(i)=cot(a_Core(i)); m,w A:o$'  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); h"Q8b}$^)  
end #x60xz  
k1(num_Core)=999;k2(num_Core)=0; M h}m;NI  
for i=1:num_TIR ]|ag  
a_TIR(i)=(angles_TIR(i)*pi/180); 4f@rv^f(X  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); uyWunpT  
k4(i)=tan(asin(cos(a_TIR(i))/n)); Pn1^NUMZJ  
end _8J.fT$${  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 8MtGlW%Eh  
]p GL`ge5  
% The Third Step:Solve functions aFm_;\  
for i=1:num_Core                    %Solve the curve of Core tw/dD +  
syms x; iHf$  
f1=k1(i)*x; k%#E
EMh  
f2=k2(i)*(x-X0_Core)+Y0_Core; `UaD6Mc<Mz  
f=f1-f2; f~R(D0@  
x=double(solve(f));y=k1(i)*x; 8/cX]J  
X0_Core=x;Y0_Core=y; ;`{H!w[D  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 7Q9 w?y~c  
end 7S:\"A7  
for i=1:num_TIR                      %Solve the curve of TIR P3=G1=47U  
syms x; -@2iaQ(5a2  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; \?-<4Bc@  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); V)k4:H  
f=f1-f2; /Cr%{'Pzk  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; U'_Q>k  
X0_TIR=x;Y0_TIR=y; ec;o\erPG  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; cqkV9f8Ro  
end
pah'>dAL  
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% The furth Step:Fitting the curve 'JE`(xD  
P_Core=polyfit(Px_Core,Py_Core,4); u c)eil  
P_TIR=polyfit(Px_TIR,Py_TIR,4); Wvh#:Z  
d7y[0<xM  
% The fifth Step:Feedback chief dimensions of the lens and Create it Ll't>)  
%Feedback dimensions of the whole lens ; DR$iH-F  
result='透镜尺寸如下：'  8dA~\a  
Diameter_of_lens=2*Px_TIR(num_TIR) ,ZNq,$j  
Thickness_of_lens=Py_TIR(num_TIR)+d |wMN}bq|T  
Diameter_of_Core=2*r %wy.TN  
Thickness_of_front_pannel=d b8t7u  
Bottom_thickness=R-r :3Ox~o  
Lowest_Core=P_Core(5) ~ .g@hS8>  
!f[_+CD  
%Feedback dimensions of Lens part TIR "&u@d~`-n  
result='TIR系数如下：' 8TKnL\aar  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d hn@08t G  
Aperture=Px_TIR(num_TIR) "(O>=F&  
Obstruction=r /,yd+wcW#  
Position=P_TIR(5) S%>]q s  
format short e; 7n<{tM  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] .L~AL|2_  
format short; FW4<5~'  
6nvz8f3*r]  
%DDE Connection ou
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TP_COMMAND = ddeinit('TracePro','Scheme'); ~36!?&eA8  
%Create TIR TD0 B%  
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)))']; Lqa4Vi  
ddeexec(TP_COMMAND,cmd); k y7Gwc  
cmd =['(entity:move TIR 0 0 -2.3712)']; kTgEd]^&D  
ddeexec(TP_COMMAND,cmd); P= NDS2  
cmd =['(property:apply-name TIR "TIR")']; lL3U8}vn  
ddeexec(TP_COMMAND,cmd); oMa6(3T?E  
T8$y[W-c  
%Feedback dimensions of Lens part TIR 73;GW4,  
result='Core系数如下：' u*`GiZAO  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d }Sv:`9=  
Aperture=r >y3=|  
Obstruction='None' TvbE2Q;/UL  
Position=P_Core(5) kl:Bfs)b  
format short e; onzxx4bax  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 3s#N2X;Bc  
format short; ;e*!S}C,  
%Create Core m{HS0l'  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; 4tBYR9|  
ddeexec(TP_COMMAND,cmd); :vbW  
cmd =['(entity:move Core 0 0 5.9493)']; e\L8oOk#r  
ddeexec(TP_COMMAND,cmd); f-Z/tfC  
cmd =['(property:apply-name Core "Core")']; .ioEIsg  
ddeexec(TP_COMMAND,cmd); rx|pOz,:  
~4'$yWG  
%Create Lens rey!{3U  
cmd =['(define Unite (bool:unite TIR Core))']; iH@UTE;  
ddeexec(TP_COMMAND,cmd); =Xr.'(U  
cmd =['(define block (insert:block 100 100 100))']; NgPk&niM  
ddeexec(TP_COMMAND,cmd); gPPkT"  
cmd =['(entity:move block 0 0 -50)']; dy[X3jQB  
ddeexec(TP_COMMAND,cmd); 3Y$GsN4ln  
cmd =['(define Lens (bool:subtract Unite block))']; O=7CMbS3  
ddeexec(TP_COMMAND,cmd); 0g8NHkM:2a  
cmd =['(property:apply-name Lens "Lens")']; cr;da)  
ddeexec(TP_COMMAND,cmd); es7=%!0  
V'gh6`v  
%Close the DDE connection ?:0Jav  
ddeterm(TP_COMMAND); f!X[c?Xy"  

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