[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： +8zCol?j  
% By Ruibin 08-9-25  TNj WZ  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 7,!$lT#  
`*ml/% \  
clear all;clc !C>'a:  
"b6ew2\  
% The Frist Step: Define independent parameters Od?b(bE.]  
r=3.25;               %选择开孔半径 TPi=!*$&  
R=4.25;               %定义曲面底部半径 :&-j{8p-  
d=1;                  %设置透镜前方平板高度 |K11Woii  
n=1.4935;             %定义材料折射率 6<`tb)_2~  
dividing_angle=24;    %定义Core与TIR的分界角 wF.S ,|  
min_angle=1;          %设置计算精度 MVYf-'\^
  
N=4;                  %设定拟合非球面系数阶数 ;p] f5R^  
IPxK$nI^  
% The Second Step：Caculate induced variable VYAz0H1-_  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); [}1+=Ub  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); +}Q@
{@5w  
for i=1:(num_Core) :h!&.FB  
a_Core(i)=(angles_Core(i)*pi/180); s4kkzTnXE3  
k1(i)=cot(a_Core(i)); W>2m%q U  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2);  #-^y9B  
end z'rB_l  
k1(num_Core)=999;k2(num_Core)=0; ,f3Ck*
M  
for i=1:num_TIR d~za%2{  
a_TIR(i)=(angles_TIR(i)*pi/180); w.9'TR  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); !Bqmw  
k4(i)=tan(asin(cos(a_TIR(i))/n)); ]R7zvcu&  
end okSCM#&:[2  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); cd-;?/  
"i1r9TLc  
% The Third Step:Solve functions d2=Z=udd  
for i=1:num_Core                    %Solve the curve of Core m@#@7[6]o  
syms x; bPhbd  
f1=k1(i)*x; o0`|r+E\  
f2=k2(i)*(x-X0_Core)+Y0_Core;  1(
*Pa  
f=f1-f2; MET"s.v
 
x=double(solve(f));y=k1(i)*x; !^*-]
p/z  
X0_Core=x;Y0_Core=y; P+s-{vv{0  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; (Tbw@BFk  
end xJ[Xmre  
for i=1:num_TIR                      %Solve the curve of TIR Vt;!FZ  
syms x; Q4!6|%n8v  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ^a?H"  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); HyX:4f|]'  
f=f1-f2; %Tvy|L ,  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 9! 6\8  
X0_TIR=x;Y0_TIR=y; B(l8&  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; %yJ $R2%*y  
end <&Q(I+^  
VsTa!V^~  
% The furth Step:Fitting the curve S-D=-{@  
P_Core=polyfit(Px_Core,Py_Core,4); [7|j:!  
P_TIR=polyfit(Px_TIR,Py_TIR,4); %@4/W N  
#'2CST  
% The fifth Step:Feedback chief dimensions of the lens and Create it vi-mn)L6#  
%Feedback dimensions of the whole lens 'V-_3WWxU  
result='透镜尺寸如下：' v<SCh)[-p  
Diameter_of_lens=2*Px_TIR(num_TIR) FaVeP%v  
Thickness_of_lens=Py_TIR(num_TIR)+d JAA{5@ST  
Diameter_of_Core=2*r yccF#zU  
Thickness_of_front_pannel=d DTi\ 4&41  
Bottom_thickness=R-r m=.}}DcSs  
Lowest_Core=P_Core(5) n>-"\cjV  
!v`C-1}70  
%Feedback dimensions of Lens part TIR 5J0Sc  
result='TIR系数如下：' mE+  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d ]Y%U5\$  
Aperture=Px_TIR(num_TIR) $,v[<T`  
Obstruction=r H;(|&Asq>  
Position=P_TIR(5) #ekz>/Im*  
format short e; Y\pRk6,  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] pS C5$a(  
format short; ]0yYMnqvr  
xM6v0Ua  
%DDE Connection g3"eEg5NY  
TP_COMMAND = ddeinit('TracePro','Scheme'); hr)CxsPoRQ  
%Create TIR j^&{5s  
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)))']; |Vq&IfP  
ddeexec(TP_COMMAND,cmd); <Z6tRf;B  
cmd =['(entity:move TIR 0 0 -2.3712)']; jh|4Y(  
ddeexec(TP_COMMAND,cmd); rDvz2
p"R  
cmd =['(property:apply-name TIR "TIR")']; !`VC4o  
ddeexec(TP_COMMAND,cmd); :(o6^%x  
2*<'=*zaQ  
%Feedback dimensions of Lens part TIR oF9c>^s  
result='Core系数如下：' $F,&7{^  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d PiTe/  
Aperture=r /Wqx@#  
Obstruction='None' qp6*v&  
Position=P_Core(5) *w[\(d'T  
format short e; 7:>VH>?D  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] Y3J;Kk#AH  
format short; =cN!h"C[  
%Create Core S5$sB{\R  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; 3>I  
ddeexec(TP_COMMAND,cmd); 01P ~K|s  
cmd =['(entity:move Core 0 0 5.9493)']; M zbs#v0  
ddeexec(TP_COMMAND,cmd); *~0Ko{Avc  
cmd =['(property:apply-name Core "Core")']; ;& PK6G  
ddeexec(TP_COMMAND,cmd); |8s)kQ4$  
4\6-sL?rW  
%Create Lens S ;; Z  
cmd =['(define Unite (bool:unite TIR Core))']; '\iWp?`$  
ddeexec(TP_COMMAND,cmd); $)fybnY  
cmd =['(define block (insert:block 100 100 100))']; [3#A)#kWm  
ddeexec(TP_COMMAND,cmd); .M$}.v  
cmd =['(entity:move block 0 0 -50)']; L`!M3c@u  
ddeexec(TP_COMMAND,cmd); J^G#x}y  
cmd =['(define Lens (bool:subtract Unite block))']; q:9#Vcw  
ddeexec(TP_COMMAND,cmd); clwJ+kku@  
cmd =['(property:apply-name Lens "Lens")']; {#c**' 4  
ddeexec(TP_COMMAND,cmd); C;3>q*Am4  
MGmUgc  
%Close the DDE connection u?>]C6$  
ddeterm(TP_COMMAND); \\WIu?  

学习学习