[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： 01n5]^.p  
% By Ruibin 08-9-25 /8\gT(@  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ('qu#.'  
;aJBx  
clear all;clc c$.h]&~dN  
Q+ r4  
% The Frist Step: Define independent parameters kY8aK8M  
r=3.25;               %选择开孔半径 $"z|^ze  
R=4.25;               %定义曲面底部半径 8+ P)V4}  
d=1;                  %设置透镜前方平板高度 }<y-`WB  
n=1.4935;             %定义材料折射率
xEt".K  
dividing_angle=24;    %定义Core与TIR的分界角 #HjiE  
min_angle=1;          %设置计算精度 ZXP9{Hh  
N=4;                  %设定拟合非球面系数阶数 1+1Z]!nG#!  
mM| 313  
% The Second Step：Caculate induced variable "*E#4e[  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); K3QE>@']  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 3jMHe~.E<  
for i=1:(num_Core) W'l &rm@  
a_Core(i)=(angles_Core(i)*pi/180); 2R:I23[#B  
k1(i)=cot(a_Core(i)); PNwXZ/N%  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); cO9aT  
end 0_d,sC?V  
k1(num_Core)=999;k2(num_Core)=0; xh$1Rwa  
for i=1:num_TIR 3urL*Fw,  
a_TIR(i)=(angles_TIR(i)*pi/180); ku=o$I8K  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); BU-m\Kf)  
k4(i)=tan(asin(cos(a_TIR(i))/n)); tDF=Iqu)a  
end r|U'2+vn  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Bvke@|]kW  
02U5N(s  
% The Third Step:Solve functions VqzcTr]_  
for i=1:num_Core                    %Solve the curve of Core r;gtfX*  
syms x; ?}y{tav=  
f1=k1(i)*x; >'>onAIL  
f2=k2(i)*(x-X0_Core)+Y0_Core; 7X\azL  
f=f1-f2; qJY'"_Q{  
x=double(solve(f));y=k1(i)*x; Lq#>N_72W0  
X0_Core=x;Y0_Core=y; E'|@hL-jn  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; |P{K\;-  
end ~&>|u5C*@  
for i=1:num_TIR                      %Solve the curve of TIR pkd#SY  
syms x; mK!73<
p_  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; O>YXvu  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); fmuAX w>  
f=f1-f2; *XRAM.  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ,L iX  
X0_TIR=x;Y0_TIR=y; >Qk4AMIO  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; ]#n,DU}V  
end L B:wo.X  
9mdp\A  
% The furth Step:Fitting the curve &X0qH8W  
P_Core=polyfit(Px_Core,Py_Core,4); ES~ykE  
P_TIR=polyfit(Px_TIR,Py_TIR,4); ^rz8c+ly  
+bi%4DA  
% The fifth Step:Feedback chief dimensions of the lens and Create it #b[B$  
%Feedback dimensions of the whole lens y:TLGQ0  
result='透镜尺寸如下：' Jvysvi{8  
Diameter_of_lens=2*Px_TIR(num_TIR) c< ke)@  
Thickness_of_lens=Py_TIR(num_TIR)+d =c{/ Z  
Diameter_of_Core=2*r }R.<\  
Thickness_of_front_pannel=d &.sfu$]  
Bottom_thickness=R-r o<\CA[   
Lowest_Core=P_Core(5) %<x2=#0  
[cSoo+Mlx  
%Feedback dimensions of Lens part TIR SKx&t-  
result='TIR系数如下：' ~HbZRDcJc  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d AL #w  
Aperture=Px_TIR(num_TIR) 2jQ|4$9j  
Obstruction=r _e/>CiN/  
Position=P_TIR(5) oM`[&m.
,  
format short e; JFw<Po,MEa  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] >L6V!  
format short; ({/@=e x*  
:OC`X~}Rc  
%DDE Connection y}NBJ  
TP_COMMAND = ddeinit('TracePro','Scheme'); <^}{sdOyu  
%Create TIR 1-.UkdZ}  
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)))']; f_}FYeg  
ddeexec(TP_COMMAND,cmd); YN Lc )  
cmd =['(entity:move TIR 0 0 -2.3712)']; 3c<).aC0f  
ddeexec(TP_COMMAND,cmd); -3 }  
cmd =['(property:apply-name TIR "TIR")']; N :E7rtT,M  
ddeexec(TP_COMMAND,cmd); w!{g^*R+!  
!b<c*J?f  
%Feedback dimensions of Lens part TIR l@-J&qG  
result='Core系数如下：' =i
 jGB~  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d $i@~$m7d-  
Aperture=r IaDc hI  
Obstruction='None' ?(Dk{-:
T'  
Position=P_Core(5) Q<$I,C]  
format short e; ADoxma@  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] q5il9*)d(  
format short; =y" lX{}G  
%Create Core p"Ki$.Y  
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)))']; g0@i[&A@{  
ddeexec(TP_COMMAND,cmd); K-VNU  
cmd =['(entity:move Core 0 0 5.9493)']; 0m?v@K' l  
ddeexec(TP_COMMAND,cmd); :(A5,$  
cmd =['(property:apply-name Core "Core")']; I~lX53D  
ddeexec(TP_COMMAND,cmd); I13nmI\  
wTBp=)1)f  
%Create Lens ax7]>Z=%d"  
cmd =['(define Unite (bool:unite TIR Core))']; ^J0*]k%   
ddeexec(TP_COMMAND,cmd); $_,?SXM  
cmd =['(define block (insert:block 100 100 100))']; "T4Z#t  
ddeexec(TP_COMMAND,cmd); kJP fL s  
cmd =['(entity:move block 0 0 -50)']; p;av63i  
ddeexec(TP_COMMAND,cmd); ?`?"j<4e  
cmd =['(define Lens (bool:subtract Unite block))']; a@
_.uD  
ddeexec(TP_COMMAND,cmd); |1`|E-S=  
cmd =['(property:apply-name Lens "Lens")']; oWGtKtDhH  
ddeexec(TP_COMMAND,cmd); #&vP(4p  
kb>:M.  
%Close the DDE connection CA[-\>J7y  
ddeterm(TP_COMMAND); Hf P2o5-  

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