[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： qa!3lb_'M  
% By Ruibin 08-9-25  ?[`*z?}  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. !-OPzfHrI  
yM}Wg~:D:  
clear all;clc jJB+UF=  
42If/N?  
% The Frist Step: Define independent parameters 2X@|H  
r=3.25;               %选择开孔半径 e2@{Ab  
R=4.25;               %定义曲面底部半径 F6vN{FI  
d=1;                  %设置透镜前方平板高度 }CoR$
K  
n=1.4935;             %定义材料折射率 1lf5xm.  
dividing_angle=24;    %定义Core与TIR的分界角 \]a@ NBv  
min_angle=1;          %设置计算精度 m&36$>r=  
N=4;                  %设定拟合非球面系数阶数 ];n3H~2  
U11bQ4ak  
% The Second Step：Caculate induced variable ~%8T_R/3  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); oOj7y>Nm  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); qVpV ZH!  
for i=1:(num_Core) 5Lo\[K>j  
a_Core(i)=(angles_Core(i)*pi/180); qMj
'%5/  
k1(i)=cot(a_Core(i)); lebwGW,!  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); !qF U  
end YKk*QcAn  
k1(num_Core)=999;k2(num_Core)=0; >&mNC\PA  
for i=1:num_TIR 2A5R3x=\  
a_TIR(i)=(angles_TIR(i)*pi/180); , Ac gsC  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 9 K.
B  
k4(i)=tan(asin(cos(a_TIR(i))/n)); }\s\fNSQ/  
end zlw+=NX  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); _$oN"pj  
@5im*ubzM  
% The Third Step:Solve functions DF>LN%a~  
for i=1:num_Core                    %Solve the curve of Core Uh9p,AV  
syms x; M$O*@])  
f1=k1(i)*x; _(R1En1  
f2=k2(i)*(x-X0_Core)+Y0_Core; pel{
;r  
f=f1-f2; \bc ob8u  
x=double(solve(f));y=k1(i)*x; f <,E  
X0_Core=x;Y0_Core=y; D (>,#F  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; |6ZH+6[  
end WaaF;|,(  
for i=1:num_TIR                      %Solve the curve of TIR p,)~
w1|  
syms x; TH%J=1d  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Exy|^Dr0  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); D>Ub)i  
f=f1-f2; 19r4J(pV  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; mw[  
X0_TIR=x;Y0_TIR=y; +kMVl_`V  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; H;eGB
Vi  
end O/|,rAE  
Zs$Qo->F  
% The furth Step:Fitting the curve sb]{05:  
P_Core=polyfit(Px_Core,Py_Core,4); $CXMeY{tOo  
P_TIR=polyfit(Px_TIR,Py_TIR,4); qt.G_fOz  
\$iU#Z  
% The fifth Step:Feedback chief dimensions of the lens and Create it #DqVh!t"  
%Feedback dimensions of the whole lens T&ECGF;Y/  
result='透镜尺寸如下：' )37.H^7  
Diameter_of_lens=2*Px_TIR(num_TIR) pKnM=N1f  
Thickness_of_lens=Py_TIR(num_TIR)+d G[pDKELL  
Diameter_of_Core=2*r r&MHww1i  
Thickness_of_front_pannel=d Xq"_^  
Bottom_thickness=R-r >`3wEJ"<  
Lowest_Core=P_Core(5) Dm")\"5\?  
!bPsJbIo>  
%Feedback dimensions of Lens part TIR ]z
%X%wL  
result='TIR系数如下：' "L(4 EcO@  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d }
^}fx [  
Aperture=Px_TIR(num_TIR) "\n,vNk  
Obstruction=r `ZC{<eVJ}=  
Position=P_TIR(5) ek^=Z`  
format short e; 5q.d$K |  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] J#```c
B  
format short; "<
e<0::  
:skNEY].  
%DDE Connection JB_<Haj  
TP_COMMAND = ddeinit('TracePro','Scheme'); 9L"Z ~CUL  
%Create TIR T~238C{vh  
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)))']; Q?Y\WD  
ddeexec(TP_COMMAND,cmd); &8##)tS(y  
cmd =['(entity:move TIR 0 0 -2.3712)']; pZYcCc>6&  
ddeexec(TP_COMMAND,cmd); ;x|E}XD  
cmd =['(property:apply-name TIR "TIR")']; "5 /i  
ddeexec(TP_COMMAND,cmd);
~)ZMGx  
e]1&f.K  
%Feedback dimensions of Lens part TIR }k`-n32)|  
result='Core系数如下：' 5`!Bj0Uf  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d HB>&}z0  
Aperture=r yR`X3.:*]  
Obstruction='None' yU e7o4Zm  
Position=P_Core(5) !zu YO3:  
format short e; 015 ;'V#we  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] )@IDmz>  
format short; x344}\  
%Create Core :jJ;&t^^  
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)))']; JTw< 4]  
ddeexec(TP_COMMAND,cmd); 0`LR!X  
cmd =['(entity:move Core 0 0 5.9493)']; >nqDUGnEo>  
ddeexec(TP_COMMAND,cmd); 8|Q=9mmWOh  
cmd =['(property:apply-name Core "Core")']; e%Sw(=a  
ddeexec(TP_COMMAND,cmd); z]^u@]@NC  
U)f;*{U  
%Create Lens Y<x;-8)*  
cmd =['(define Unite (bool:unite TIR Core))']; ^:Mal[IR  
ddeexec(TP_COMMAND,cmd); YqJ `eLu  
cmd =['(define block (insert:block 100 100 100))']; h()Ok9]  
ddeexec(TP_COMMAND,cmd); p#]D-
?CM)  
cmd =['(entity:move block 0 0 -50)']; *2?-6  
ddeexec(TP_COMMAND,cmd); G$eA(GE  
cmd =['(define Lens (bool:subtract Unite block))']; feSj3,<!  
ddeexec(TP_COMMAND,cmd); $N}nO:`t  
cmd =['(property:apply-name Lens "Lens")']; DX*eN"z[  
ddeexec(TP_COMMAND,cmd); Ib~n}SA  
5t,W'a_  
%Close the DDE connection LU=<?"N6  
ddeterm(TP_COMMAND); LNA5!E  

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