[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： 9'S~zG%{  
% By Ruibin 08-9-25 i@|.1dWh  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 9b}AZ]$  
ko<iG]Dv'  
clear all;clc A1u|L^  
W2([vRT  
% The Frist Step: Define independent parameters `9yR,Xk=l  
r=3.25;               %选择开孔半径 Y =BXV7\  
R=4.25;               %定义曲面底部半径 fX 41o#
 
d=1;                  %设置透镜前方平板高度 <0hJo=6a8  
n=1.4935;             %定义材料折射率 %=O$@.%Zc  
dividing_angle=24;    %定义Core与TIR的分界角 xK8R![x  
min_angle=1;          %设置计算精度 1>1ii  
N=4;                  %设定拟合非球面系数阶数 _Mis-K:]{?  
[Y^1}E*  
% The Second Step：Caculate induced variable /Dn  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); ~jqh&u$(  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); u
VBMI.&w  
for i=1:(num_Core) x# &ZGFr~  
a_Core(i)=(angles_Core(i)*pi/180); yt-F2Z&  
k1(i)=cot(a_Core(i)); +^6v%z  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); Nu%JI6&R  
end <Gr775"  
k1(num_Core)=999;k2(num_Core)=0; }M I9?\"q  
for i=1:num_TIR ?8LRd5LH  
a_TIR(i)=(angles_TIR(i)*pi/180); E*t0ia8  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); Q
hHexr6  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 4gNF;  
end fW
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X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); L'JEkji"  
&xwAE*}  
% The Third Step:Solve functions cP~?Iz8nD  
for i=1:num_Core                    %Solve the curve of Core %Jr6pmc  
syms x; 2Rp'ju~O)/  
f1=k1(i)*x; gl4|D  
f2=k2(i)*(x-X0_Core)+Y0_Core; >iCkvQ  
f=f1-f2; N!e?K=}tL  
x=double(solve(f));y=k1(i)*x; `[+nz rLkO  
X0_Core=x;Y0_Core=y; Va1 eG]jQ  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; |Gw[vY  
end Czs4jHTa`  
for i=1:num_TIR                      %Solve the curve of TIR h4GR:`  
syms x; uT}Jw  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; S>]Jc$  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ~la=rh3  
f=f1-f2; f(O`t}Ed  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; Rp2~d  
X0_TIR=x;Y0_TIR=y; j;O{Hvvz  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; $UZ4,S?V  
end I!)gXtJA"  
A;sdrA  
% The furth Step:Fitting the curve :95wHmk  
P_Core=polyfit(Px_Core,Py_Core,4); +McKyEa  
P_TIR=polyfit(Px_TIR,Py_TIR,4); I 
[J0r  
%^l77:O  
% The fifth Step:Feedback chief dimensions of the lens and Create it }[u9vZL  
%Feedback dimensions of the whole lens sq_N!  
result='透镜尺寸如下：' Bu'PDy~W,  
Diameter_of_lens=2*Px_TIR(num_TIR) N>OF tP  
Thickness_of_lens=Py_TIR(num_TIR)+d -o+_PL $\  
Diameter_of_Core=2*r 1:%m >4U  
Thickness_of_front_pannel=d #=f ]"uM<  
Bottom_thickness=R-r "Yn<]Pa_  
Lowest_Core=P_Core(5) N b(f  
bp6 La`+  
%Feedback dimensions of Lens part TIR [|2uu."$  
result='TIR系数如下：' YZCPS6PuE  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d N1UE u,j  
Aperture=Px_TIR(num_TIR) ?S8cl7;+  
Obstruction=r Y"mD)\Bw?  
Position=P_TIR(5) hnM|=[wM  
format short e; Lp%V$'  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] B{W2D  
format short; G:.Nq,513  
fV3!x,H  
%DDE Connection S\Qh#yFT  
TP_COMMAND = ddeinit('TracePro','Scheme'); ,z)7rU`  
%Create TIR _tQ=ASe0  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; b9(d@2MtK  
ddeexec(TP_COMMAND,cmd); ij6ME6  
cmd =['(entity:move TIR 0 0 -2.3712)']; >]=1~sF  
ddeexec(TP_COMMAND,cmd); o(~>a  
cmd =['(property:apply-name TIR "TIR")']; }0uSm%,"  
ddeexec(TP_COMMAND,cmd); 5cP]  
[^W4%S  
%Feedback dimensions of Lens part TIR g~%=[1  
result='Core系数如下：' n(a7%Hx2  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ~aH*ZA*f  
Aperture=r 
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Obstruction='None' 0-g,C=L  
Position=P_Core(5) )F<<M+q=  
format short e; 4aAr|!8|h!  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] T}P|uP  
format short; E8>npDFv.  
%Create Core /U)w:B+p/g  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; 6(oGU4  
ddeexec(TP_COMMAND,cmd); Ydmz!CEu  
cmd =['(entity:move Core 0 0 5.9493)']; x}1(okc  
ddeexec(TP_COMMAND,cmd); ~sAINV>A  
cmd =['(property:apply-name Core "Core")']; p&_a kQj  
ddeexec(TP_COMMAND,cmd); v>g1\yIw  
QA.B.U7!  
%Create Lens (H+'sf^h  
cmd =['(define Unite (bool:unite TIR Core))']; &}w,bG$  
ddeexec(TP_COMMAND,cmd); F& H~JJ  
cmd =['(define block (insert:block 100 100 100))']; Z|d_G}  
ddeexec(TP_COMMAND,cmd); D}!U?]la&  
cmd =['(entity:move block 0 0 -50)']; pZGso  
ddeexec(TP_COMMAND,cmd); h=4m2m  
cmd =['(define Lens (bool:subtract Unite block))']; 8dUwJ"<5  
ddeexec(TP_COMMAND,cmd); )TyL3Z\>(  
cmd =['(property:apply-name Lens "Lens")']; nH% /  
ddeexec(TP_COMMAND,cmd); h&yaug,.  
u[s+YGS  
%Close the DDE connection e7/J:n$  
ddeterm(TP_COMMAND); jRB:o?S  

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