[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： .O{2]e$  
% By Ruibin 08-9-25 Bf;dp`(/
 
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. /3!
KfG  
ey@]B5  
clear all;clc M%d
Xy^e  
5'/Ney9N  
% The Frist Step: Define independent parameters ^G+1nY4?J  
r=3.25;               %选择开孔半径 Uj)~>V'  
R=4.25;               %定义曲面底部半径 x.CNDG  
d=1;                  %设置透镜前方平板高度 G SXe=?  
n=1.4935;             %定义材料折射率 z O  
dividing_angle=24;    %定义Core与TIR的分界角 }@Ij}Ab>  
min_angle=1;          %设置计算精度 ysV0Ed  
N=4;                  %设定拟合非球面系数阶数 h&+dIk\[3  
r=<Oy1m/  
% The Second Step：Caculate induced variable J
~6+zBF  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); fPf8hz>  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); )z/+!y  
for i=1:(num_Core) ,
BCtNt(  
a_Core(i)=(angles_Core(i)*pi/180); 8,pnm  
k1(i)=cot(a_Core(i)); oZxC.;xJ  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); bwG2=  
end 
sv0)sL  
k1(num_Core)=999;k2(num_Core)=0; N<1u,[+  
for i=1:num_TIR 2r2qZ#I}  
a_TIR(i)=(angles_TIR(i)*pi/180); VLuhURI)  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); G[1:<Vg8  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 6f
hH)]0  
end V,<3uQD9a  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); %e2,p&0G  
7t7"gl
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% The Third Step:Solve functions 7q<2k_3<  
for i=1:num_Core                    %Solve the curve of Core [R[]&\W  
syms x; @UCGsw  
f1=k1(i)*x; &v7$*n27  
f2=k2(i)*(x-X0_Core)+Y0_Core; Yy6Mkw7X  
f=f1-f2; aA?Uf~ "t  
x=double(solve(f));y=k1(i)*x; FUic
7>  
X0_Core=x;Y0_Core=y; ufE;rcYE  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; >4>!zZ  
end `0Y`]kSY+  
for i=1:num_TIR                      %Solve the curve of TIR :DTKZ9>2D  
syms x; ES[H^}|Gi  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; nFU'D
Z  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); JsohhkJNGi  
f=f1-f2; ezn%*X y,  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; Tf/j
d 3>  
X0_TIR=x;Y0_TIR=y; u}ULb F  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 0|kkwZVPn  
end qjQR0MC  
FES_:?.0  
% The furth Step:Fitting the curve T8( \:v
 
P_Core=polyfit(Px_Core,Py_Core,4); 4RCD<7  
P_TIR=polyfit(Px_TIR,Py_TIR,4); ^'j? {@  
b(JQ>,hX  
% The fifth Step:Feedback chief dimensions of the lens and Create it jC3ta  
%Feedback dimensions of the whole lens ol QT r  
result='透镜尺寸如下：' d[mmwgSR?I  
Diameter_of_lens=2*Px_TIR(num_TIR) hK F*{,'  
Thickness_of_lens=Py_TIR(num_TIR)+d #=mLQSiQ  
Diameter_of_Core=2*r K.s\xA5`_  
Thickness_of_front_pannel=d N `-\'h  
Bottom_thickness=R-r Y
3W_Z  
Lowest_Core=P_Core(5) 5VD(fW[OW]  
'4-J0S<<_  
%Feedback dimensions of Lens part TIR f]Jn\7j4  
result='TIR系数如下：' W^{zlg  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d XpWcf ([  
Aperture=Px_TIR(num_TIR) jdz]+Q`j
q  
Obstruction=r VfWU-lJ  
Position=P_TIR(5) G?`{OW3:_  
format short e; jcrLUs+\  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] v_M-:e3`  
format short; kr ,&aP<,  
!'|^`u=eL  
%DDE Connection e ]-fb{oVH  
TP_COMMAND = ddeinit('TracePro','Scheme'); H_w&_h&  
%Create TIR j#:IG/)GL  
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)))']; Cngi5._Lb  
ddeexec(TP_COMMAND,cmd); qiEw[3Za]'  
cmd =['(entity:move TIR 0 0 -2.3712)']; .V~z6  
ddeexec(TP_COMMAND,cmd); }7?n\I+n"  
cmd =['(property:apply-name TIR "TIR")']; =PU!hZj"L  
ddeexec(TP_COMMAND,cmd); @">^2  
ViZ Tl~  
%Feedback dimensions of Lens part TIR vXA+o)*#/  
result='Core系数如下：' "[A]tklP  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d EWz,K]_'  
Aperture=r >\f'QQ  
Obstruction='None' }eKY%WU>O  
Position=P_Core(5) qPal'c0  
format short e; ckDWY<@v  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] m9~cQ!m  
format short; }Pi}? 41!  
%Create Core :pz`bFJk  
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)))']; !*I0}I ~  
ddeexec(TP_COMMAND,cmd); olA 1,8  
cmd =['(entity:move Core 0 0 5.9493)']; 8d|/^U.w~V  
ddeexec(TP_COMMAND,cmd); 1u`{yl*+?  
cmd =['(property:apply-name Core "Core")']; 'xK ,|U  
ddeexec(TP_COMMAND,cmd); ''p7!V?  
{>EM=ZZfg  
%Create Lens K/T4T\  
cmd =['(define Unite (bool:unite TIR Core))']; lftT55Tki  
ddeexec(TP_COMMAND,cmd); O@9<7@h+Nl  
cmd =['(define block (insert:block 100 100 100))']; 76IjM4&a  
ddeexec(TP_COMMAND,cmd); P5?M"j0/^  
cmd =['(entity:move block 0 0 -50)']; yj<j>JtN  
ddeexec(TP_COMMAND,cmd); Nw3K@Ge  
cmd =['(define Lens (bool:subtract Unite block))']; FdwlRuG  
ddeexec(TP_COMMAND,cmd); @m`1Vq?O  
cmd =['(property:apply-name Lens "Lens")']; `8x.Mv  
ddeexec(TP_COMMAND,cmd); @#u'z~a)  
,ma4bqRMc  
%Close the DDE connection K>a@A
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ddeterm(TP_COMMAND); Ca]V%
g(  

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