[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： AMkjoy3+]  
% By Ruibin 08-9-25 rK`*v*  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. YoahqXR`  
++FMkeHZ  
clear all;clc 6T)D6;@L  
jF'S"_/?  
% The Frist Step: Define independent parameters 4w\')@`[jk  
r=3.25;               %选择开孔半径 g~`UC  
R=4.25;               %定义曲面底部半径 p;C`n)7P7  
d=1;                  %设置透镜前方平板高度 ni3^J5XW  
n=1.4935;             %定义材料折射率 WJhI6lu  
dividing_angle=24;    %定义Core与TIR的分界角 oS]XE!
^M  
min_angle=1;          %设置计算精度 7?F0~[eGG  
N=4;                  %设定拟合非球面系数阶数
Hm*n,8_  
F+}MW/ra@  
% The Second Step：Caculate induced variable 4s3n|6v  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); F*(<
`V  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); #LcF;1o%o2  
for i=1:(num_Core) F|Ou5WD  
a_Core(i)=(angles_Core(i)*pi/180); &"25a[x{B  
k1(i)=cot(a_Core(i)); Wb^YqqE  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); P=V~/,>SZ!  
end ?-Oy/Y K  
k1(num_Core)=999;k2(num_Core)=0; &a7KdGP8V  
for i=1:num_TIR v k<By R  
a_TIR(i)=(angles_TIR(i)*pi/180); _,~/KJp  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 8+lM6O ~!  
k4(i)=tan(asin(cos(a_TIR(i))/n)); cnQ( G$kh  
end M$|^?U>cm  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 5{j1<4zxR  
r"k\G\,%  
% The Third Step:Solve functions &i6WVNGy  
for i=1:num_Core                    %Solve the curve of Core ,US]  
syms x; zQ5'q  
f1=k1(i)*x; v=@Z,-  
f2=k2(i)*(x-X0_Core)+Y0_Core; cO_En`F  
f=f1-f2; 3~"G27,  
x=double(solve(f));y=k1(i)*x; / bfLox  
X0_Core=x;Y0_Core=y; h=?#D0  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; :+Y+5:U]  
end 2Fp.m}42i(  
for i=1:num_TIR                      %Solve the curve of TIR Nx,.4CI  
syms x; ?!cUAa>iH  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; #2/k^N4r  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); OZDnU6  
f=f1-f2; -NHc~=m  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 3)p#}_u{  
X0_TIR=x;Y0_TIR=y; A6pPx1-&  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 6-j><'  
end K+2<{qwh  
eG=Hyc  
% The furth Step:Fitting the curve %h(J+_"L6  
P_Core=polyfit(Px_Core,Py_Core,4); M qFuZg  
P_TIR=polyfit(Px_TIR,Py_TIR,4); bw&8"k>D?  
Q6]SsV?x  
% The fifth Step:Feedback chief dimensions of the lens and Create it /X9Kg  
%Feedback dimensions of the whole lens ,_F@9Up  
result='透镜尺寸如下：' 0z.oPV@  
Diameter_of_lens=2*Px_TIR(num_TIR) ot8UuBq  
Thickness_of_lens=Py_TIR(num_TIR)+d W&T
-E,  
Diameter_of_Core=2*r ..)O/g.  
Thickness_of_front_pannel=d :Z3Tyj}4  
Bottom_thickness=R-r Mj2`p#5wKh  
Lowest_Core=P_Core(5) _H}8eU  
o/t^rY y
 
%Feedback dimensions of Lens part TIR l`>|XUf6  
result='TIR系数如下：' qkPvE;"  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d Psm5J80}n  
Aperture=Px_TIR(num_TIR) DI"KH)XD  
Obstruction=r YHSdaocp  
Position=P_TIR(5) qT5q3A(8  
format short e; leR-oeSO  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] CC"}aV5  
format short; BE>^;`K  
Qqm'Yom%T  
%DDE Connection vgKZr  
TP_COMMAND = ddeinit('TracePro','Scheme'); "MM)AY*b  
%Create TIR g3B%}!|  
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)))']; AAuH}W>n  
ddeexec(TP_COMMAND,cmd); z_nv|5"  
cmd =['(entity:move TIR 0 0 -2.3712)']; rr~O6Db  
ddeexec(TP_COMMAND,cmd); v'=$K[_  
cmd =['(property:apply-name TIR "TIR")']; v,, .2UR4  
ddeexec(TP_COMMAND,cmd); '1P~"P3  

w5Lev}Rb  
%Feedback dimensions of Lens part TIR V7DMn@Ckw  
result='Core系数如下：' %La<
]  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d
r`-=<@[  
Aperture=r Wz{,N07Q#{  
Obstruction='None' \D67J239E  
Position=P_Core(5) ,! b9  
format short e; 'rl?'~={p  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] IE]? WW5  
format short; 9 n0?0mk  
%Create Core HD%n'@E  
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)))']; ZQ1,6<^9i[  
ddeexec(TP_COMMAND,cmd); f^Io:V\  
cmd =['(entity:move Core 0 0 5.9493)']; aoqG*qh}b  
ddeexec(TP_COMMAND,cmd); vd
{ban9  
cmd =['(property:apply-name Core "Core")'];
n Nu~)X  
ddeexec(TP_COMMAND,cmd); D*0[7:NSO  
kLE("I:7  
%Create Lens uE &/:+  
cmd =['(define Unite (bool:unite TIR Core))']; H^ds<I<)  
ddeexec(TP_COMMAND,cmd); BFnp[93N  
cmd =['(define block (insert:block 100 100 100))']; CWdpF>En  
ddeexec(TP_COMMAND,cmd); t4d^DZDh!  
cmd =['(entity:move block 0 0 -50)']; 7H])
2:)  
ddeexec(TP_COMMAND,cmd); V |cPAT%  
cmd =['(define Lens (bool:subtract Unite block))']; '><I|c}  
ddeexec(TP_COMMAND,cmd); _9f7@@b  
cmd =['(property:apply-name Lens "Lens")']; @b&_xT  
ddeexec(TP_COMMAND,cmd); ^vw[z2"  
-y|*x-iZ  
%Close the DDE connection joA>-k04  
ddeterm(TP_COMMAND); `eEiSf  

学习学习