[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： S1$\D!|1  
% By Ruibin 08-9-25 qn+mlduU  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. nr s!e  
}
f6.eqBX4  
clear all;clc T0tG1/O\  

Z>CFH9  
% The Frist Step: Define independent parameters ;uba  
r=3.25;               %选择开孔半径 la
FkOQI  
R=4.25;               %定义曲面底部半径 !u7WCw.Dm  
d=1;                  %设置透镜前方平板高度 f3v/Y5)  
n=1.4935;             %定义材料折射率 D+ jk0*bJ  
dividing_angle=24;    %定义Core与TIR的分界角 3P#1fI(c  
min_angle=1;          %设置计算精度 Or_9KX2  
N=4;                  %设定拟合非球面系数阶数 <JKPtF2b  
 ISq^V  
% The Second Step：Caculate induced variable _10#rucr  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); \[,7#  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 9wtl|s%A%  
for i=1:(num_Core) <D&75C#  
a_Core(i)=(angles_Core(i)*pi/180); v- {kPc=:#  
k1(i)=cot(a_Core(i)); `-w;=_Bm  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); sM?DNE^BvW  
end r@ejU'uz  
k1(num_Core)=999;k2(num_Core)=0;
=?FA
9wm  
for i=1:num_TIR }bB_[+YV`{  
a_TIR(i)=(angles_TIR(i)*pi/180); }>tUkXlhJ<  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 0K#dWc}"a  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 751\K`L  
end d6M d~$R  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); [2&Fnmjk}X  
zA+^4/M  
% The Third Step:Solve functions l@Ml8+  
for i=1:num_Core                    %Solve the curve of Core BF]b\/I  
syms x; cFH,fj  
f1=k1(i)*x; [9>1e  
f2=k2(i)*(x-X0_Core)+Y0_Core; W6\s@)b;  
f=f1-f2; u9GQ)`7Z@  
x=double(solve(f));y=k1(i)*x; +V
U,U`W  
X0_Core=x;Y0_Core=y; fE^rTUtn  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; c\RDa|B,  
end I[F.M}5
:z  
for i=1:num_TIR                      %Solve the curve of TIR RS$:]hxd>_  
syms x; b,{?+
8  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; j~L{=ojz%  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); Y
@L`XNl  
f=f1-f2; Llg[YBJ7>  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; y#T":jpR  
X0_TIR=x;Y0_TIR=y; "}ZD-O`!  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; l(<o,Uv[`  
end .m+KXlP  
`FmI?:Cv  
% The furth Step:Fitting the curve ]54V9l:  
P_Core=polyfit(Px_Core,Py_Core,4); R%5\1!Fl=G  
P_TIR=polyfit(Px_TIR,Py_TIR,4); UUA7m$F1  
<k^h&1J#g  
% The fifth Step:Feedback chief dimensions of the lens and Create it J6f;dF^  
%Feedback dimensions of the whole lens #_Tceq5  
result='透镜尺寸如下：' 3RGVH,  
Diameter_of_lens=2*Px_TIR(num_TIR) G>H&M#7K  
Thickness_of_lens=Py_TIR(num_TIR)+d KDCq::P<  
Diameter_of_Core=2*r dIK!xOStA  
Thickness_of_front_pannel=d H!s &]b  
Bottom_thickness=R-r H!vvdp?Z  
Lowest_Core=P_Core(5) WE
=`8`Li  
1?mQ fW@G  
%Feedback dimensions of Lens part TIR }rOO[,?Y  
result='TIR系数如下：' R%b,RH#  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d  LqU]&AAh  
Aperture=Px_TIR(num_TIR) rK"$@tc  
Obstruction=r L$Ss]Ar=  
Position=P_TIR(5) Jzfzy0$  
format short e; Bz]64/  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] O </<  
format short; YSeXCJ:Iy  
cMtkdIO  
%DDE Connection +[D=2&tmk  
TP_COMMAND = ddeinit('TracePro','Scheme'); f<y""0L9  
%Create TIR oIf-s[uH  
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)))']; }`*]&I[P  
ddeexec(TP_COMMAND,cmd); 8R-?x/:  
cmd =['(entity:move TIR 0 0 -2.3712)']; "iOT14J!7  
ddeexec(TP_COMMAND,cmd); f}#pKsX.  
cmd =['(property:apply-name TIR "TIR")']; 0oM~e  
ddeexec(TP_COMMAND,cmd); ;m7$U  
2j(w*k q~  
%Feedback dimensions of Lens part TIR i7Y96]  
result='Core系数如下：' Ro?4t
Gn  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d .D>%-  
Aperture=r g$$uf[A-SL  
Obstruction='None' >Rx^@yQ!+z  
Position=P_Core(5) %*:-4K  
format short e; g+)T\_#u  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] nq A> }A  
format short; MW`q*J`Yo  
%Create Core $yhQ)@#1
 
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)))']; JCS$Tm6y<_  
ddeexec(TP_COMMAND,cmd); a o\+%s  
cmd =['(entity:move Core 0 0 5.9493)']; _ @ \  
ddeexec(TP_COMMAND,cmd); Ql#:Rx>b  
cmd =['(property:apply-name Core "Core")']; ?hsOhUs(5  
ddeexec(TP_COMMAND,cmd); epz2
d~;  
=V%s^  
%Create Lens ])
T*T$u  
cmd =['(define Unite (bool:unite TIR Core))']; /__we[$E  
ddeexec(TP_COMMAND,cmd); I gA0RY1  
cmd =['(define block (insert:block 100 100 100))']; U%j=)VD])  
ddeexec(TP_COMMAND,cmd); jC<<S  
cmd =['(entity:move block 0 0 -50)']; [;#}BlbN  
ddeexec(TP_COMMAND,cmd); PNc^)|4^Q  
cmd =['(define Lens (bool:subtract Unite block))']; NDCZc_  
ddeexec(TP_COMMAND,cmd); wnhac}  
cmd =['(property:apply-name Lens "Lens")']; G^j/8e  
ddeexec(TP_COMMAND,cmd); %6dFACv  
`ag>4?7?  
%Close the DDE connection Rq9v+Xq2  
ddeterm(TP_COMMAND); P\N$TYeH  

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