[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： ^u'hl$`^  
% By Ruibin 08-9-25 j("$qpv  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. cs[_TJo  
\H<gKZquR  
clear all;clc Q{%2Npvq  
A/5??3H  
% The Frist Step: Define independent parameters O-m=<Fk> D  
r=3.25;               %选择开孔半径 48%-lkol)  
R=4.25;               %定义曲面底部半径 N>h/!# ZC  
d=1;                  %设置透镜前方平板高度 =5:L#` .  
n=1.4935;             %定义材料折射率  1B}q?8n  
dividing_angle=24;    %定义Core与TIR的分界角 _N8Tu~lqV  
min_angle=1;          %设置计算精度 3V=(P.ATm  
N=4;                  %设定拟合非球面系数阶数 Bmx+QO  
Oi#4|*b{W  
% The Second Step：Caculate induced variable yx5F]Z<M2  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); NUxOU>f  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 5cc;8i  
for i=1:(num_Core) Pjz_KO/  
a_Core(i)=(angles_Core(i)*pi/180); 8yW8F26  
k1(i)=cot(a_Core(i)); d)@Hx8  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); tG8)!  
end !`kX</ha.  
k1(num_Core)=999;k2(num_Core)=0; RF3?q6j ,  
for i=1:num_TIR 7D'-^#S5  
a_TIR(i)=(angles_TIR(i)*pi/180); 'XW[uK]w)  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); <
//82j+px  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 'iQ
  
end 1XfH,6\8i  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); (PVK|Q55y  
&[u>^VO8  
% The Third Step:Solve functions E}Ir<\  
for i=1:num_Core                    %Solve the curve of Core 'u9,
L FO  
syms x; R%gkRx[  
f1=k1(i)*x; g%C!)UbT  
f2=k2(i)*(x-X0_Core)+Y0_Core; 2!-?  
f=f1-f2; )-qWcf?  
x=double(solve(f));y=k1(i)*x; '5^$v{  
X0_Core=x;Y0_Core=y; \VY!= 9EV  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; !-G'8a|7  
end sb1Zm*m6  
for i=1:num_TIR                      %Solve the curve of TIR 3C:!
\R  
syms x; .&z/p3 1  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; M't~/&D#  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); M.DU^
-7  
f=f1-f2; f/1soGA  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; %62W[Oh5  
X0_TIR=x;Y0_TIR=y; 
6snDv4  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; D8S?xK7[  
end hMcSB8?  
O &/9wi>!q  
% The furth Step:Fitting the curve j@w+>h  
P_Core=polyfit(Px_Core,Py_Core,4); =1!,A  
P_TIR=polyfit(Px_TIR,Py_TIR,4); l ~bjNhk  
Drn{ucIs  
% The fifth Step:Feedback chief dimensions of the lens and Create it V)pn)no'V  
%Feedback dimensions of the whole lens 72i]`   
result='透镜尺寸如下：' Cx N]fo  
Diameter_of_lens=2*Px_TIR(num_TIR) Sn o7Ru2  
Thickness_of_lens=Py_TIR(num_TIR)+d #
=}dv8  
Diameter_of_Core=2*r d3nx"=Cy0I  
Thickness_of_front_pannel=d @M]uUL-ze  
Bottom_thickness=R-r KOQiX?'  
Lowest_Core=P_Core(5) #F>7@N:5  
d]3c44kkK{  
%Feedback dimensions of Lens part TIR "7w
~0?}  
result='TIR系数如下：' .2K4<UOAbm  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d MU  }<-1  
Aperture=Px_TIR(num_TIR) uq
/z.m  
Obstruction=r y15 MWZ  
Position=P_TIR(5) K;n2mXYGM  
format short e; V
XE85  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] L&gC  
format short; \hlQu{q.  
Gky e  
%DDE Connection |E& Fe8  
TP_COMMAND = ddeinit('TracePro','Scheme'); -K"" 4SC2  
%Create TIR Z$UPLg3=;_  
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)))']; rP5&&Hso  
ddeexec(TP_COMMAND,cmd); TT85G&#  
cmd =['(entity:move TIR 0 0 -2.3712)']; WFGcR9mN?  
ddeexec(TP_COMMAND,cmd);
t:NYsL  
cmd =['(property:apply-name TIR "TIR")']; 9/8#e+L  
ddeexec(TP_COMMAND,cmd); SxX2+|0g`g  
"wPA;4VQ  
%Feedback dimensions of Lens part TIR |8QXjzH  
result='Core系数如下：' yN'<iTh  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d fbl8:c)I  
Aperture=r {Df97n%h;  
Obstruction='None' -\6";_Y  
Position=P_Core(5) BLepCF38  
format short e; )aV\=a |A  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] gs xT  
format short; rE&`G[(b  
%Create Core QU#u5sX A  
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)))']; b I%Sq+"}  
ddeexec(TP_COMMAND,cmd); A`5/u"]*D  
cmd =['(entity:move Core 0 0 5.9493)']; 4R c_C0O  
ddeexec(TP_COMMAND,cmd); Czl4^STiC  
cmd =['(property:apply-name Core "Core")']; IIn
sq  
ddeexec(TP_COMMAND,cmd); 8\AyKw  
TO,XN\{y  
%Create Lens P' ";L6h  
cmd =['(define Unite (bool:unite TIR Core))']; ak
SUk)}e  
ddeexec(TP_COMMAND,cmd); k;7R3O@  
cmd =['(define block (insert:block 100 100 100))']; zL^`r)H  
ddeexec(TP_COMMAND,cmd); hc2AGeZr  
cmd =['(entity:move block 0 0 -50)']; $!'S7;*uW  
ddeexec(TP_COMMAND,cmd); u{asKUce\  
cmd =['(define Lens (bool:subtract Unite block))']; p)x*uqSd  
ddeexec(TP_COMMAND,cmd); +i\ +bR  
cmd =['(property:apply-name Lens "Lens")']; lc:dKGF6  
ddeexec(TP_COMMAND,cmd); -T,/S^  
I^u$H&  
%Close the DDE connection We8n20wf<  
ddeterm(TP_COMMAND); N!W# N$  

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