[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： S^x9 2&!  
% By Ruibin 08-9-25 Fof_x
v9  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. _R5^4-Qe  
U#F(#3/  
clear all;clc zv0RrF^  
<NJ7mR}  
% The Frist Step: Define independent parameters "X]ufZ7  
r=3.25;               %选择开孔半径 Fs
wF
Y7 8  
R=4.25;               %定义曲面底部半径 3ZZJYf=  
d=1;                  %设置透镜前方平板高度 { @-Q1  
n=1.4935;             %定义材料折射率 [MiD%FfcNH  
dividing_angle=24;    %定义Core与TIR的分界角 "{V,(w8Dt  
min_angle=1;          %设置计算精度 B;K{V
o:C  
N=4;                  %设定拟合非球面系数阶数 V9<[v?.\  
~NTpMF  
% The Second Step：Caculate induced variable /`s^.Xh  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); UBU(@T(  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); fA3  
for i=1:(num_Core) _K;rM7  
a_Core(i)=(angles_Core(i)*pi/180); 3c9[FZ@ya  
k1(i)=cot(a_Core(i)); }`_2fJ6  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); kW,
yZ.?f  
end 6B+ @76wH  
k1(num_Core)=999;k2(num_Core)=0; fptW#_V2  
for i=1:num_TIR {M%"z,GL7J  
a_TIR(i)=(angles_TIR(i)*pi/180); J,~)9Kh$  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); r{<u\>6X>P  
k4(i)=tan(asin(cos(a_TIR(i))/n)); hh8UKEM
-  
end M?\)&2f[Z  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); hCo&SRC/5  
r+lY9l  
% The Third Step:Solve functions Y]Fq)-  
for i=1:num_Core                    %Solve the curve of Core $ o t"Du  
syms x; d&ZwVF!  
f1=k1(i)*x; \JyWKET::_  
f2=k2(i)*(x-X0_Core)+Y0_Core; [p7le8=  
f=f1-f2; g Sa,A  
x=double(solve(f));y=k1(i)*x; }40/GWp<f  
X0_Core=x;Y0_Core=y; Maxnk3n  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 2 G"p:iPp  
end #dl8+  
for i=1:num_TIR                      %Solve the curve of TIR h)<42Y  
syms x; .i. |wY  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 7}lZa~/  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); X
,q=JS  
f=f1-f2; JPpYT~4  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; >WD^)W fa  
X0_TIR=x;Y0_TIR=y; vc!S{4bN  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; \u/5&[;  
end N%_~cR;  
34?yQX{  
% The furth Step:Fitting the curve '&9a%  
P_Core=polyfit(Px_Core,Py_Core,4); C )I"yeS.  
P_TIR=polyfit(Px_TIR,Py_TIR,4); JDhA{VN6  
f,-|"_5;   
% The fifth Step:Feedback chief dimensions of the lens and Create it #k"[TCQ>  
%Feedback dimensions of the whole lens D!<
$uAT  
result='透镜尺寸如下：' 5m bs0GL  
Diameter_of_lens=2*Px_TIR(num_TIR) YVaQ3o|!  
Thickness_of_lens=Py_TIR(num_TIR)+d JZtFt=>q  
Diameter_of_Core=2*r Sx~_p3_5U  
Thickness_of_front_pannel=d \LYQZ*F  
Bottom_thickness=R-r '^J/aV  
Lowest_Core=P_Core(5) :E^B~ OuL  
.ClCP?HG  
%Feedback dimensions of Lens part TIR (Q4_3<G+  
result='TIR系数如下：' [@y=%\%R  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d FlgB-qR]<n  
Aperture=Px_TIR(num_TIR) w|Mj8Lc+  
Obstruction=r (o:CxhV  
Position=P_TIR(5) U-? ^B*<  
format short e; XVLuhwi  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] _F*w ,b$8  
format short; ;`+RSr^8$  
XH2SEeh  
%DDE Connection q%'ovX(dm  
TP_COMMAND = ddeinit('TracePro','Scheme'); }?~uAU-  
%Create TIR X or ,}. w  
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)))']; `MwQ6%lf  
ddeexec(TP_COMMAND,cmd); T7T!v  
cmd =['(entity:move TIR 0 0 -2.3712)']; YBCjcD[G  
ddeexec(TP_COMMAND,cmd); e-')SB  
cmd =['(property:apply-name TIR "TIR")']; 0>;#vEF*1  
ddeexec(TP_COMMAND,cmd); a"DV`jn  
ICTtubjV"  
%Feedback dimensions of Lens part TIR ?.A|Fy^  
result='Core系数如下：' I>3]4mI*a  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d 1;xw)65  
Aperture=r Wu4Nq+  
Obstruction='None' q5!l(QL.  
Position=P_Core(5) t?
A4xk  
format short e; yki k4MeB  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 55cldo   
format short; YJ^ lM\/<  
%Create Core OT&E
)eR  
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)))']; /2cI{]B  
ddeexec(TP_COMMAND,cmd); !bcbzg2d&  
cmd =['(entity:move Core 0 0 5.9493)']; &+j
^{a  
ddeexec(TP_COMMAND,cmd); xI4I1"/  
cmd =['(property:apply-name Core "Core")']; )c'>E4>  
ddeexec(TP_COMMAND,cmd); 0;h1LI)  
A]+h<Y~}  
%Create Lens IeB6r+4|  
cmd =['(define Unite (bool:unite TIR Core))']; s4gNS eA  
ddeexec(TP_COMMAND,cmd); xs I/DW  
cmd =['(define block (insert:block 100 100 100))']; :]^P^khK  
ddeexec(TP_COMMAND,cmd); pG(
 knu  
cmd =['(entity:move block 0 0 -50)']; 9i<-\w^$  
ddeexec(TP_COMMAND,cmd); z^/GTY  
cmd =['(define Lens (bool:subtract Unite block))']; tvOAN|+F  
ddeexec(TP_COMMAND,cmd); N &[,nUd  
cmd =['(property:apply-name Lens "Lens")']; 1(i>Vt.+  
ddeexec(TP_COMMAND,cmd); |3s&Y`x-D  
AMd)d^;  
%Close the DDE connection 2E2}|: ||&  
ddeterm(TP_COMMAND); _0*>I1F~  

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