[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： ?W2u0N  
% By Ruibin 08-9-25 Xz`0nU  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. #MFIsx)r  
lhC hk7l  
clear all;clc -}_1f[b  
=;Dj[<mJ45  
% The Frist Step: Define independent parameters jn(%v]
 
r=3.25;               %选择开孔半径 %Ai' 6  
R=4.25;               %定义曲面底部半径 _\na9T~g  
d=1;                  %设置透镜前方平板高度 :gO5#HIm  
n=1.4935;             %定义材料折射率 0j;q^>  
dividing_angle=24;    %定义Core与TIR的分界角 dci<Rz`h  
min_angle=1;          %设置计算精度 [ ou$*  
N=4;                  %设定拟合非球面系数阶数 kH8/
8  
j#0JD!Vr  
% The Second Step：Caculate induced variable flT6y-d  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); d6W\ \6V  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); K)U[xS;<  
for i=1:(num_Core) 4jt(tZS  
a_Core(i)=(angles_Core(i)*pi/180); 5vg="@O K  
k1(i)=cot(a_Core(i)); 3{fg3?  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); `BVmuUMm  
end QFMAy>Gdn  
k1(num_Core)=999;k2(num_Core)=0; \ 'Va(}v  
for i=1:num_TIR K8R>O *~  
a_TIR(i)=(angles_TIR(i)*pi/180); 8CZ%-}-%$  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); xx(C$wCJ  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 4hODpIF  
end P#7=h:.522  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); _&/ {A|n  
=MMd&  
% The Third Step:Solve functions +D:8r|evH  
for i=1:num_Core                    %Solve the curve of Core Mx$&{.LFJ  
syms x; ;}j(x;
l>t  
f1=k1(i)*x; Z Cjw)To(  
f2=k2(i)*(x-X0_Core)+Y0_Core; # )y/aA  
f=f1-f2; F,{mF2U*$  
x=double(solve(f));y=k1(i)*x; C!a1.&HHZ7  
X0_Core=x;Y0_Core=y; VOLj#H  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; dWPQp*f2  
end
\1Xk[%  
for i=1:num_TIR                      %Solve the curve of TIR BUJ\[/  
syms x; b.@a,:"  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; o[T+/Ej&  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); +7^p d9F.  
f=f1-f2; ]mb8R:a1  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; w_xca(  
X0_TIR=x;Y0_TIR=y; :Ko6.|  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; >w@+cUto  
end 2t-w0~O  
~0a5  
% The furth Step:Fitting the curve  :^.wjUI  
P_Core=polyfit(Px_Core,Py_Core,4); #_@cI(P  
P_TIR=polyfit(Px_TIR,Py_TIR,4); KLg1(W(  
G @..?>  
% The fifth Step:Feedback chief dimensions of the lens and Create it ~ELMLwn.  
%Feedback dimensions of the whole lens %w*)7@,+-  
result='透镜尺寸如下：' tcuwGs>_  
Diameter_of_lens=2*Px_TIR(num_TIR) QO/0VB42  
Thickness_of_lens=Py_TIR(num_TIR)+d ["Ltqgx  
Diameter_of_Core=2*r G^~[|a4`  
Thickness_of_front_pannel=d EiL#Dwx  
Bottom_thickness=R-r
2J ZR"P  
Lowest_Core=P_Core(5) #) aLD0p  

Ae+)RBpc  
%Feedback dimensions of Lens part TIR ,^UqE{  
result='TIR系数如下：' u0q$`9J  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d ;]>kp^C#  
Aperture=Px_TIR(num_TIR) 5i!Q55Yv=,  
Obstruction=r
9-KhJ
q%  
Position=P_TIR(5) ,c p2Fac  
format short e; U(#<D7}  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] t4WB^dHYp  
format short; !Zz;;Z  
cO~<iy  
%DDE Connection 9%/hoA)  
TP_COMMAND = ddeinit('TracePro','Scheme'); ef5)z}B   
%Create TIR :Ha/^cC/3  
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)))']; BUO5g8m{  
ddeexec(TP_COMMAND,cmd); ) 7/Cg  
cmd =['(entity:move TIR 0 0 -2.3712)'];
-8TJ:#|N  
ddeexec(TP_COMMAND,cmd); )h{&O ,s  
cmd =['(property:apply-name TIR "TIR")']; XE}gl&\  
ddeexec(TP_COMMAND,cmd); ~MC|  
9wgB JJl7  
%Feedback dimensions of Lens part TIR M";qo6
  
result='Core系数如下：' &`"DG$N(  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d diq}\'f  
Aperture=r Dp@XAyiA[  
Obstruction='None' PobX;Z  
Position=P_Core(5) vl"w,@V7  
format short e; K$CC ~,D  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] p=8Qv  
format short; 'solCAy  
%Create Core ~P4C`Q1PT#  
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)))']; /F*Y~>*% 1  
ddeexec(TP_COMMAND,cmd); ?bTfQH vX  
cmd =['(entity:move Core 0 0 5.9493)']; NVyBEAoh  
ddeexec(TP_COMMAND,cmd); 8Sbz)X  
cmd =['(property:apply-name Core "Core")']; DiCz%'N  
ddeexec(TP_COMMAND,cmd); uZqL'l+/y  
t*{L[c9.Uq  
%Create Lens }V?m =y [  
cmd =['(define Unite (bool:unite TIR Core))']; th?+
TNb^  
ddeexec(TP_COMMAND,cmd); zp:dArh0  
cmd =['(define block (insert:block 100 100 100))']; -^_m(@A<~  
ddeexec(TP_COMMAND,cmd); ("$/sT  
cmd =['(entity:move block 0 0 -50)']; YagfCi ?  
ddeexec(TP_COMMAND,cmd); ]?9*Vr:P^  
cmd =['(define Lens (bool:subtract Unite block))']; mypV[  
ddeexec(TP_COMMAND,cmd); fPR_3qgQ  
cmd =['(property:apply-name Lens "Lens")']; -
JW~_Q[  
ddeexec(TP_COMMAND,cmd); '-iEbE  
=|3BkmO  
%Close the DDE connection inP2y?j  
ddeterm(TP_COMMAND); b--=GY))F  

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