[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： ' P`p.5nH  
% By Ruibin 08-9-25 eM=)>zl  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. }<ONxg6Kb  
%;(|KrUN  
clear all;clc cJ##K/es  
;Z1U@2./  
% The Frist Step: Define independent parameters * \o$-6<  
r=3.25;               %选择开孔半径 0tCOb9  
R=4.25;               %定义曲面底部半径 >'-w%H/  
d=1;                  %设置透镜前方平板高度 ]~00=nXFM/  
n=1.4935;             %定义材料折射率 O {6gNR,*  
dividing_angle=24;    %定义Core与TIR的分界角 M
IlCUk
 
min_angle=1;          %设置计算精度 M=[q+A  
N=4;                  %设定拟合非球面系数阶数 bq3fiT9  
@y0bU*v7  
% The Second Step：Caculate induced variable G:c8`*5Q  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); HS
6Imi  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); $wYuH9(  
for i=1:(num_Core) _d[2_b1  
a_Core(i)=(angles_Core(i)*pi/180); rw8J:?0x
 
k1(i)=cot(a_Core(i)); hG~]~ )  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); {nPkb5xbW  
end RUk<=!
U  
k1(num_Core)=999;k2(num_Core)=0; `@$"L/AJ  
for i=1:num_TIR Z0"&  
a_TIR(i)=(angles_TIR(i)*pi/180); $}^\=p}X  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); F7Dc!JNa  
k4(i)=tan(asin(cos(a_TIR(i))/n)); a\&(Ua  
end RZd4(7H=q  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); p_5>?[TW:  
I
#S~
  
% The Third Step:Solve functions O
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for i=1:num_Core                    %Solve the curve of Core iVKbGgA  
syms x; n4vXm
 
f1=k1(i)*x; +(<n |~  
f2=k2(i)*(x-X0_Core)+Y0_Core; p&OJa$N$[  
f=f1-f2; )_9e@~,  
x=double(solve(f));y=k1(i)*x; ST:
v3*  
X0_Core=x;Y0_Core=y; hnsa)@  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; s-GleX<  
end @cu}3>  
for i=1:num_TIR                      %Solve the curve of TIR kj{rk^x  
syms x; 5:l*Ib:s7  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; uXQ7eXX  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); xxLgC;>[  
f=f1-f2; KkdG.c'  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; MdVCD^B  
X0_TIR=x;Y0_TIR=y; vn0cKz@  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; us\%BxxI9  
end ZSF=  
KH2F#[ !Lw  
% The furth Step:Fitting the curve :7$\X[  
P_Core=polyfit(Px_Core,Py_Core,4); x2j/8]'o  
P_TIR=polyfit(Px_TIR,Py_TIR,4); t<!+b@l5  
u=@h`5-fp  
% The fifth Step:Feedback chief dimensions of the lens and Create it [GR]!\!%~  
%Feedback dimensions of the whole lens CJMaltPp&  
result='透镜尺寸如下：' I~p8#<4#b  
Diameter_of_lens=2*Px_TIR(num_TIR) 9n>$}UI\  
Thickness_of_lens=Py_TIR(num_TIR)+d e;A^.\SP  
Diameter_of_Core=2*r c
g(QjH"
  
Thickness_of_front_pannel=d gx!*O<|e4  
Bottom_thickness=R-r M^j<J0(O  
Lowest_Core=P_Core(5) ="3a%\  
vQ-i
xh  
%Feedback dimensions of Lens part TIR l zfD)TWb  
result='TIR系数如下：' Y!++CMzU  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d s{(ehP.Dd  
Aperture=Px_TIR(num_TIR) My]+?.Ru  
Obstruction=r 2Vz'n@g=  
Position=P_TIR(5) j+_S$T8w  
format short e; n0rerI[R  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 0Jm]f/iZ  
format short; 6QN1+MwB  
QD$}-D[  
%DDE Connection *Rz{44LP&  
TP_COMMAND = ddeinit('TracePro','Scheme'); sg3h i"Im  
%Create TIR m>]>$=%  
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)))']; -W|*fKN`3  
ddeexec(TP_COMMAND,cmd); V/aQ*V{  
cmd =['(entity:move TIR 0 0 -2.3712)']; N4I^.k<-A  
ddeexec(TP_COMMAND,cmd); O24Jj\"  
cmd =['(property:apply-name TIR "TIR")']; =ud`6{R  
ddeexec(TP_COMMAND,cmd); \e?.hmq  
OOCQsoN
  
%Feedback dimensions of Lens part TIR )-0[ra]  
result='Core系数如下：' 7d3'CQQ4  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d n=f`AmF;  
Aperture=r Z:I*y7V-  
Obstruction='None' %z(9lAe  
Position=P_Core(5) % 2I  
format short e; f"Ost;7zg  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] )r ULT$;i@  
format short; ^4+r*YvcM  
%Create Core y7CWBTH0>  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; 8ou e-:/a  
ddeexec(TP_COMMAND,cmd); CXBzX:T?#  
cmd =['(entity:move Core 0 0 5.9493)']; Q2*/`L}m\  
ddeexec(TP_COMMAND,cmd); @(Z( /P;:  
cmd =['(property:apply-name Core "Core")']; `koOp  
ddeexec(TP_COMMAND,cmd); ;!'qtw"CB  
a*V9_Px$&  
%Create Lens BRe{1i 6  
cmd =['(define Unite (bool:unite TIR Core))']; F vj{@B!  
ddeexec(TP_COMMAND,cmd); / >%L[RJ4  
cmd =['(define block (insert:block 100 100 100))']; j2M4H@  
ddeexec(TP_COMMAND,cmd); v#zPH5xo  
cmd =['(entity:move block 0 0 -50)']; aIQOs  
ddeexec(TP_COMMAND,cmd); /v5qyR7an  
cmd =['(define Lens (bool:subtract Unite block))']; d&hD[v  
ddeexec(TP_COMMAND,cmd); f7Yz>To  
cmd =['(property:apply-name Lens "Lens")']; *]5z^> q;7  
ddeexec(TP_COMMAND,cmd); KL "Y!PN:  
.%_)*NUZ  
%Close the DDE connection 5Yl6?  
ddeterm(TP_COMMAND); Gi*<~`Gr  

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