[求助]matlab画准直透镜曲线？ [复制链接]

謝謝大大的分享

算出来也就自然画出来了啊

谢谢哈~

看一下

下来看看

学习一下

看看吧

看看e:matlab画准直透镜曲线？

程序如下： %p wpRD@  
% By Ruibin 08-9-25 <OR f{  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. "V7 SB   
@)h
rj2Jw  
clear all;clc 6B pm+}  
fQ.{sQ$@h  
% The Frist Step: Define independent parameters E 0k1yA  
r=3.25;               %选择开孔半径 R\VM6>SN'S  
R=4.25;               %定义曲面底部半径 dF (m!P/R  
d=1;                  %设置透镜前方平板高度 ]Sl]G6#Iwv  
n=1.4935;             %定义材料折射率 v8PH(d2{@  
dividing_angle=24;    %定义Core与TIR的分界角 >R&=mo~  
min_angle=1;          %设置计算精度 Adyv>T9  
N=4;                  %设定拟合非球面系数阶数 B%~D`[~?  
Tw)"#Y!T  
% The Second Step：Caculate induced variable RMrrLT  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); 9gS.G2  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); {\87]xJ  
for i=1:(num_Core) %b)~K|NEFf  
a_Core(i)=(angles_Core(i)*pi/180); VlLc[eVV  
k1(i)=cot(a_Core(i)); 0nX.%2p#Je  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); Gb?O-z%8*  
end _mi(:s(  
k1(num_Core)=999;k2(num_Core)=0; $hCPmiI  
for i=1:num_TIR 71$MhPvd<  
a_TIR(i)=(angles_TIR(i)*pi/180); jT6zpi~]E  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); [
>pqf  
k4(i)=tan(asin(cos(a_TIR(i))/n)); {1jywb }  
end o{QU?H5h  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); P@RUopu,i  
9F*],#ng  
% The Third Step:Solve functions 8N58w)%7`  
for i=1:num_Core                    %Solve the curve of Core :zL.dJwa  
syms x; Gkfc@[Z V  
f1=k1(i)*x; Nvef+L,v  
f2=k2(i)*(x-X0_Core)+Y0_Core; I,0]> kx  
f=f1-f2; x:Nd>Fb  
x=double(solve(f));y=k1(i)*x; |>Xw"]b;  
X0_Core=x;Y0_Core=y; 6BPZ2EQ  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; e1
k\:]6  
end 9gz"r  
for i=1:num_TIR                      %Solve the curve of TIR 4-YXXi}  
syms x; j5cc"s  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; c/c%-=  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); kOe~0xoT@u  
f=f1-f2; gw1| ?C  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; JKFV7{%Gl  
X0_TIR=x;Y0_TIR=y; &M,"%w!  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; tv
_Cn w  
end >v+ia%o  
})l+-H"  
% The furth Step:Fitting the curve p2=Sbb  
P_Core=polyfit(Px_Core,Py_Core,4); ?Z<2zm%qV  
P_TIR=polyfit(Px_TIR,Py_TIR,4); FZ)Y<r8|s  
[|sKu#yW  
% The fifth Step:Feedback chief dimensions of the lens and Create it l7]$Wc[  
%Feedback dimensions of the whole lens J)l]<##  
result='透镜尺寸如下：' }/Wd9x  
Diameter_of_lens=2*Px_TIR(num_TIR) IXSCYqoK  
Thickness_of_lens=Py_TIR(num_TIR)+d '(/ZJ88JP  
Diameter_of_Core=2*r Xcq9*!%o  
Thickness_of_front_pannel=d ]c8$%  
Bottom_thickness=R-r q5$z:'zE  
Lowest_Core=P_Core(5) u&=SZX&G k  
"~h.u  
%Feedback dimensions of Lens part TIR 328
(W  
result='TIR系数如下：' cZRLYOC  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d @"~Mglgw  
Aperture=Px_TIR(num_TIR) nI4xK  
Obstruction=r 4*UoTE-g$  
Position=P_TIR(5) Qa,^;hZWS  
format short e; Bx&.Tj  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] @"}dbW<DV  
format short; J! 4l-.-  
f77uqv(Y  
%DDE Connection ,i2%FW  
TP_COMMAND = ddeinit('TracePro','Scheme'); 5L<}u`0J  
%Create TIR mI=^7'Mk  
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)))']; 6,'!z ?d%  
ddeexec(TP_COMMAND,cmd); ? OBe!NDf  
cmd =['(entity:move TIR 0 0 -2.3712)']; b; SFnZa8  
ddeexec(TP_COMMAND,cmd);  ?4 `K8  
cmd =['(property:apply-name TIR "TIR")']; ~6'6v8  
ddeexec(TP_COMMAND,cmd); F}Bc +i#]  
qYFol#=%  
%Feedback dimensions of Lens part TIR {rWu`QT  
result='Core系数如下：' AWLKve_  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d y(:hN)  
Aperture=r 2#'[\*2|N  
Obstruction='None' p[e|N;W8A  
Position=P_Core(5) /KEPPp  
format short e; 's$pr#V
  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] {6<7M  
format short; NQ<~$+{  
%Create Core DYH-5yX7  
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)))']; f8! PeQ?  
ddeexec(TP_COMMAND,cmd); A.vcE  
cmd =['(entity:move Core 0 0 5.9493)']; (ju-r*0  
ddeexec(TP_COMMAND,cmd); _QtqQ~f  
cmd =['(property:apply-name Core "Core")']; 1){1 HK  
ddeexec(TP_COMMAND,cmd); 1!\!3xaV  
gQ h0-Dnw  
%Create Lens Q8M&nf  
cmd =['(define Unite (bool:unite TIR Core))']; w\;=3C`  
ddeexec(TP_COMMAND,cmd); /U1GxX:P,  
cmd =['(define block (insert:block 100 100 100))']; i^uC4S~  
ddeexec(TP_COMMAND,cmd); +[r%y,
k  
cmd =['(entity:move block 0 0 -50)']; i{VjSWq  
ddeexec(TP_COMMAND,cmd); Ul[>LKFY  
cmd =['(define Lens (bool:subtract Unite block))']; ~GfcI:Zz&  
ddeexec(TP_COMMAND,cmd); "yc/8{U  
cmd =['(property:apply-name Lens "Lens")']; |Xd[%W)  
ddeexec(TP_COMMAND,cmd); 44?5]C7  
5d
(A(  
%Close the DDE connection j&fr4t3  
ddeterm(TP_COMMAND); -baGr;,Cu  

学习学习