[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： mtE+}b@(!&  
% By Ruibin 08-9-25 K@Q%NK,  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. D8Mq '$-  
O%F*i2I:+k  
clear all;clc yn<J>e  
aiE\r/k8s  
% The Frist Step: Define independent parameters ,D<U PtPQ  
r=3.25;               %选择开孔半径 0mmHN`<  
R=4.25;               %定义曲面底部半径 BxQ,T@  
d=1;                  %设置透镜前方平板高度 UH\{:@GjNO  
n=1.4935;             %定义材料折射率 Pq(LW(  
dividing_angle=24;    %定义Core与TIR的分界角 !V/7q'&t=  
min_angle=1;          %设置计算精度 Lg#(?tMp,'  
N=4;                  %设定拟合非球面系数阶数 E:A!tu$B  
vW?/:  
% The Second Step：Caculate induced variable 5e7\tBab  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); oZl%0Uy?9I  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); =iDd{$  
for i=1:(num_Core) vv^y V"0Y  
a_Core(i)=(angles_Core(i)*pi/180); Gui[/iY,F  
k1(i)=cot(a_Core(i)); G^dzE/:  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); YH^@8   
end KQw>6)  
k1(num_Core)=999;k2(num_Core)=0; =d:3]M^
 
for i=1:num_TIR
E m+&I  
a_TIR(i)=(angles_TIR(i)*pi/180); #,XZ@u+  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 2*Pk1vrI  
k4(i)=tan(asin(cos(a_TIR(i))/n)); lq,]E/<&  
end zzW$F)X  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 8ZCA vEy  
'^[+]
  
% The Third Step:Solve functions 8xhx*A  
for i=1:num_Core                    %Solve the curve of Core Ss
\?SEq  
syms x; h5-yhG  
f1=k1(i)*x; fM*?i"j;Y  
f2=k2(i)*(x-X0_Core)+Y0_Core; "^wIoJ6H'  
f=f1-f2; =#<bB)59  
x=double(solve(f));y=k1(i)*x; .j**>&7L  
X0_Core=x;Y0_Core=y; fH:S_7i  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; hk S:_e=  
end |R!ozlL{}  
for i=1:num_TIR                      %Solve the curve of TIR KHJ wCv  
syms x; [cl+AV "  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ~82 {Y _{/  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 3MKu!  
f=f1-f2; wrXn|aV  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; I'p+9H$  
X0_TIR=x;Y0_TIR=y; $\~cWpv  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; ;#0$iE  
end eQn[  
KU+\fwYpnk  
% The furth Step:Fitting the curve p0]\QM l1  
P_Core=polyfit(Px_Core,Py_Core,4); %f1IV(3Qc  
P_TIR=polyfit(Px_TIR,Py_TIR,4); DQ[7p(  
M_2>b:#A*  
% The fifth Step:Feedback chief dimensions of the lens and Create it KT>Y^  
%Feedback dimensions of the whole lens {d0-.  
result='透镜尺寸如下：' k%kEW%I yG  
Diameter_of_lens=2*Px_TIR(num_TIR) ]+B.=mO_  
Thickness_of_lens=Py_TIR(num_TIR)+d E'(nJ  
Diameter_of_Core=2*r s@y;b0
$gk  
Thickness_of_front_pannel=d t+]1D@hv  
Bottom_thickness=R-r _9p79S<+  
Lowest_Core=P_Core(5) ki/Cpfq40*  
6KXW]a `  
%Feedback dimensions of Lens part TIR 3G2iRr.o  
result='TIR系数如下：' ;$gV$KB:xA  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d i1m>|
[@k  
Aperture=Px_TIR(num_TIR) *vEj\  
Obstruction=r 9PV+Kr!c5I  
Position=P_TIR(5) o)7Ot\:E  
format short e; ^yq}>_  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] z,2*3Be6V  
format short; a l6y=;\jZ  
l"DHG`kb  
%DDE Connection r)K5<[\r  
TP_COMMAND = ddeinit('TracePro','Scheme'); _2{_W9k  
%Create TIR >w,jaQ  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; _<Ij)#Rq7  
ddeexec(TP_COMMAND,cmd); H{S+^'5Y.  
cmd =['(entity:move TIR 0 0 -2.3712)']; ^~7Mv^A  
ddeexec(TP_COMMAND,cmd); 8e
,F{>N  
cmd =['(property:apply-name TIR "TIR")']; Y Q.Xl_  
ddeexec(TP_COMMAND,cmd); i'"#{4I  
1@h8.ym<"  
%Feedback dimensions of Lens part TIR WVOj;c  
result='Core系数如下：' 3;> z %{  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d \0_jmX
]p  
Aperture=r n]D io  
Obstruction='None' #=33TvprR2  
Position=P_Core(5) 'g'RXC}D>  
format short e; z/f._Z
(  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] #)twk`!^  
format short; &NoA, `|7  
%Create Core %Q &']  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; o$+R
  
ddeexec(TP_COMMAND,cmd); bM:4i1Z  
cmd =['(entity:move Core 0 0 5.9493)']; V+@}d
JS  
ddeexec(TP_COMMAND,cmd); u~Po5W/i  
cmd =['(property:apply-name Core "Core")']; S<cz2FlV  
ddeexec(TP_COMMAND,cmd); [)GRP  
y%61xA`#  
%Create Lens D M+MBK  
cmd =['(define Unite (bool:unite TIR Core))']; _5~|z$GW  
ddeexec(TP_COMMAND,cmd); Fw{@R
Qf8  
cmd =['(define block (insert:block 100 100 100))']; n8_X<jIp3  
ddeexec(TP_COMMAND,cmd); 8sc2r  
cmd =['(entity:move block 0 0 -50)']; ytjZ7J['{  
ddeexec(TP_COMMAND,cmd); t!6uz  
cmd =['(define Lens (bool:subtract Unite block))']; @SiV3k  
ddeexec(TP_COMMAND,cmd); :(m, 06K  
cmd =['(property:apply-name Lens "Lens")']; fDplYn#  
ddeexec(TP_COMMAND,cmd); fKqr$59>  
3HYdb|y
 
%Close the DDE connection #0uu19+}  
ddeterm(TP_COMMAND); X1a~l|$h  

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