[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：  Y=H_U$  
% By Ruibin 08-9-25 -Vs;4-B{9  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. [.$/o}  
nITkgN:s  
clear all;clc 'R#MH  
@RCZ![XYWg  
% The Frist Step: Define independent parameters MlLM $Y-@  
r=3.25;               %选择开孔半径 gt=@v())  
R=4.25;               %定义曲面底部半径 k4!p))ql  
d=1;                  %设置透镜前方平板高度 Tm0\Oue0  
n=1.4935;             %定义材料折射率 FuAs$;  
dividing_angle=24;    %定义Core与TIR的分界角 LG{50sP`  
min_angle=1;          %设置计算精度 )% gU  
N=4;                  %设定拟合非球面系数阶数 3ly]DTbz  
BQv*8Hg B6  
% The Second Step：Caculate induced variable ^* CKx  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); U.=TjCW  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 'b6qEU#  
for i=1:(num_Core) K.}jyhKIKi  
a_Core(i)=(angles_Core(i)*pi/180); Moi>Dp  
k1(i)=cot(a_Core(i)); ];eJ'#  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); bn=7$Ax  
end 0Ag2zx  
k1(num_Core)=999;k2(num_Core)=0; dIA1\;@  
for i=1:num_TIR ]<9o>#3  
a_TIR(i)=(angles_TIR(i)*pi/180); X@/wsW(kM\  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); c0_512  
k4(i)=tan(asin(cos(a_TIR(i))/n)); @udc
/J$  
end YllW2g:  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); ~|oB|>  
'*`1uomeo  
% The Third Step:Solve functions SPvKq=,
 
for i=1:num_Core                    %Solve the curve of Core f%P#.  
syms x; l=a<=i  
f1=k1(i)*x; M=1~BZQ(Z  
f2=k2(i)*(x-X0_Core)+Y0_Core; ,o0[^-b<  
f=f1-f2; "b"|ay  
x=double(solve(f));y=k1(i)*x; Shss};QZf(  
X0_Core=x;Y0_Core=y; !nQoz^_`P  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; _+Uf5,.5yU  
end YdYaLTz  
for i=1:num_TIR                      %Solve the curve of TIR Q.V+s   
syms x; bOr6"nn  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; N0YJ'.=8,  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); !F2JT@6  
f=f1-f2; !$Arc^7r  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ]XWtw21I1  
X0_TIR=x;Y0_TIR=y; <[17&F0  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 5X^`qUSv  
end `R-VJR 2"  
JaN53,&<  
% The furth Step:Fitting the curve -(E-yCu  
P_Core=polyfit(Px_Core,Py_Core,4); FX~
pjM  
P_TIR=polyfit(Px_TIR,Py_TIR,4); kcP&''  
ciN*gwI)  
% The fifth Step:Feedback chief dimensions of the lens and Create it I=k`VId:  
%Feedback dimensions of the whole lens b\xse2#  
result='透镜尺寸如下：' ~S0T+4$  
Diameter_of_lens=2*Px_TIR(num_TIR) :
x!'Eer n  
Thickness_of_lens=Py_TIR(num_TIR)+d K48QkZ_gY  
Diameter_of_Core=2*r LOk J  
Thickness_of_front_pannel=d c}2"X,  
Bottom_thickness=R-r u}jC$T>2%6  
Lowest_Core=P_Core(5) zKf0 :X  
ZRUI';5x  
%Feedback dimensions of Lens part TIR OuB[[L  
result='TIR系数如下：' ]/Cu,mX  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d &Z+.FTo  
Aperture=Px_TIR(num_TIR) 8]JlYe  
Obstruction=r hNF,sA  
Position=P_TIR(5) n%{oFTLCo  
format short e; bh
CAx W  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ?1H>k<Jp  
format short; %vU
*4mH  
92^Dn`g  
%DDE Connection p8z"Jn2P  
TP_COMMAND = ddeinit('TracePro','Scheme'); QhPpo#^  
%Create TIR (y2P."  
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)))']; p
x^brzLQo  
ddeexec(TP_COMMAND,cmd);
=CL h<&  
cmd =['(entity:move TIR 0 0 -2.3712)']; 9}11>X  
ddeexec(TP_COMMAND,cmd); ^>h2.AJ  
cmd =['(property:apply-name TIR "TIR")']; 2VkA!o4nP  
ddeexec(TP_COMMAND,cmd); `^DP<&{  
rmdG"s  
%Feedback dimensions of Lens part TIR buxyZV@1  
result='Core系数如下：' inyS4tb  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d :a M@"#F  
Aperture=r $#
b  
Obstruction='None' 2/l4,x  
Position=P_Core(5) X+//$J  
format short e;
2*0n#" L  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] .u;'eVH)a}  
format short; SqT+rvTh  
%Create Core }Q
{4G  
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)))']; \3cg\Q+~  
ddeexec(TP_COMMAND,cmd); +/Vzw  
cmd =['(entity:move Core 0 0 5.9493)']; pEiq;2{~Yn  
ddeexec(TP_COMMAND,cmd); -V}ZbXJD  
cmd =['(property:apply-name Core "Core")']; 'h{DjNSM  
ddeexec(TP_COMMAND,cmd); #M8>
)oc  
\V9);KAOj  
%Create Lens h>"Z=y  
cmd =['(define Unite (bool:unite TIR Core))']; 2Zw]Uu`sb  
ddeexec(TP_COMMAND,cmd); "C9.pdP\8  
cmd =['(define block (insert:block 100 100 100))']; 9S)A6]  
ddeexec(TP_COMMAND,cmd); f2{qj5 K  
cmd =['(entity:move block 0 0 -50)']; GI#TMFz3  
ddeexec(TP_COMMAND,cmd); `O}bPwa{>  
cmd =['(define Lens (bool:subtract Unite block))']; aB4L$M8x  
ddeexec(TP_COMMAND,cmd); IeJ@G)  
cmd =['(property:apply-name Lens "Lens")']; "RsH
'`  
ddeexec(TP_COMMAND,cmd); 7>|p_o`e  
u5dyhx7  
%Close the DDE connection NKw}VW'|  
ddeterm(TP_COMMAND); LY(h>`  

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