[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： Cj}1 )qWq  
% By Ruibin 08-9-25 _Ucj)Ud k  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ,bCPO`45  
dQt*/]{q  
clear all;clc c)M_&?J!5  
SD6xi\8  
% The Frist Step: Define independent parameters xU^Flw,4  
r=3.25;               %选择开孔半径 cv0}_<Tyx  
R=4.25;               %定义曲面底部半径 Q<r O5 -K  
d=1;                  %设置透镜前方平板高度 Mnaoh:z  
n=1.4935;             %定义材料折射率 mD)_quz.sk  
dividing_angle=24;    %定义Core与TIR的分界角 \,E;b{PQo6  
min_angle=1;          %设置计算精度 3M(:}c  
N=4;                  %设定拟合非球面系数阶数 ZSMOq4Y 9  
/cr.}D2O  
% The Second Step：Caculate induced variable JF_\A)<ki  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); fdN-Zq@'  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); l0b Y  
for i=1:(num_Core) Y=4,d4uu  
a_Core(i)=(angles_Core(i)*pi/180); y8wOJZ<K
 
k1(i)=cot(a_Core(i)); o;\0xuM@  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); z1F[okLA  
end w'.ny<Pe  
k1(num_Core)=999;k2(num_Core)=0; !o&Mw:d  
for i=1:num_TIR d;(L@9HHD  
a_TIR(i)=(angles_TIR(i)*pi/180); *Rj>// A  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); } CJQC
 
k4(i)=tan(asin(cos(a_TIR(i))/n)); 9+SeG\Th  
end r 06}@7  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); w=3@IW  
h&5H`CR[  
% The Third Step:Solve functions ^C@uP9g  
for i=1:num_Core                    %Solve the curve of Core ^gh/$my;  
syms x; VD+8j29  
f1=k1(i)*x; oyJ/Oe {  
f2=k2(i)*(x-X0_Core)+Y0_Core; _pKW($\  
f=f1-f2; }O@S;[v S  
x=double(solve(f));y=k1(i)*x; 2anx]QV4  
X0_Core=x;Y0_Core=y; ?U2ed)zzw  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ?G
j$$IAe  
end FcsEv {#U  
for i=1:num_TIR                      %Solve the curve of TIR 7 4aap2^  
syms x; l8%x(N4  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; QM9~O#rL  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); VE6T&fz`  
f=f1-f2; i3*?fMxhu)  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; Lz=nJn  
X0_TIR=x;Y0_TIR=y; oFHVA!lqe  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; <2ffcBv  
end 1?)<*[  
-^$CGRE6A  
% The furth Step:Fitting the curve {{[).o/  
P_Core=polyfit(Px_Core,Py_Core,4); r['T.yo  
P_TIR=polyfit(Px_TIR,Py_TIR,4); f3V&i)w(  
B8|=P&L7N  
% The fifth Step:Feedback chief dimensions of the lens and Create it (OYR, [*  
%Feedback dimensions of the whole lens HQaKG4Z  
result='透镜尺寸如下：' l`gRw4/$  
Diameter_of_lens=2*Px_TIR(num_TIR) LlRvm/  
Thickness_of_lens=Py_TIR(num_TIR)+d ,^,Vq]$3  
Diameter_of_Core=2*r L1Fn;nR  
Thickness_of_front_pannel=d &EmxSYL>  
Bottom_thickness=R-r . %tc7`k8  
Lowest_Core=P_Core(5) /!JpmI  
5cxA,T  
%Feedback dimensions of Lens part TIR u$&7fmZ  
result='TIR系数如下：' xh@H@Q\  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d >?b/_O  
Aperture=Px_TIR(num_TIR) E`iT>+LG<  
Obstruction=r 5 &-fX:/  
Position=P_TIR(5) H4KwbTT"+  
format short e; _xAdvr' W  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] fbwo2qe@K  
format short; M$%aX,nk'  
68Wm=j.m  
%DDE Connection . ~G>vVb  
TP_COMMAND = ddeinit('TracePro','Scheme'); _myam3[W  
%Create TIR Trbgg  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; qp  
ddeexec(TP_COMMAND,cmd); kdQ=%  
cmd =['(entity:move TIR 0 0 -2.3712)']; =NF},j"  
ddeexec(TP_COMMAND,cmd); 6O$OM  
cmd =['(property:apply-name TIR "TIR")']; 0$}+tq+  
ddeexec(TP_COMMAND,cmd); \0(QO8.
 
KTBsH;6  
%Feedback dimensions of Lens part TIR @XDU!<N  
result='Core系数如下：' sTeL4g|%{  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d u~1[nH:  
Aperture=r u+[ZWhKUp  
Obstruction='None' kd|@.  
Position=P_Core(5) 3r+v
pyu  
format short e; l0tMdsz  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 4rwfY<G  
format short; /r[0Dw  
%Create Core c(ZkK  
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)))']; uzho>p[ae  
ddeexec(TP_COMMAND,cmd);
3,oFT   
cmd =['(entity:move Core 0 0 5.9493)']; 1U@
qRU  
ddeexec(TP_COMMAND,cmd); 7,j}]  
cmd =['(property:apply-name Core "Core")']; Tp)-L0kD_k  
ddeexec(TP_COMMAND,cmd); FFR_1Vf  
G5"UhnOD'  
%Create Lens 2Ev~[Hb.  
cmd =['(define Unite (bool:unite TIR Core))']; {{SQL)yJ  
ddeexec(TP_COMMAND,cmd); 9"=:\PE  
cmd =['(define block (insert:block 100 100 100))']; {\;CGoN|  
ddeexec(TP_COMMAND,cmd); '2uQ  
cmd =['(entity:move block 0 0 -50)']; IA$:r@QNx8  
ddeexec(TP_COMMAND,cmd); .FqbX5\p,  
cmd =['(define Lens (bool:subtract Unite block))'];  #XQEfa  
ddeexec(TP_COMMAND,cmd); 9N5&N3  
cmd =['(property:apply-name Lens "Lens")']; 3)atqM)i  
ddeexec(TP_COMMAND,cmd); %$`pD I)  
~BrERUk  
%Close the DDE connection _9Iz'-LgB  
ddeterm(TP_COMMAND); EXS 1.3>  

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