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长剩 2012-08-15 16:49

matlab画准直透镜曲线?

最近老师让用matlab画一个准直照明透镜的曲线,有没有人做过类似的事情,请帮忙,求助!!急!!! 具体透镜的曲线是这篇文章里的Fig.5 p|+B3  
| ?yo 3  
长剩 2012-08-16 09:32
自己顶一下,请大家帮帮忙
565330091 2012-09-02 10:14
我也不懂,所以顶一下了
lurunhua 2012-10-19 21:42
看看 呵呵
lurunhua 2012-10-19 21:42
看看 呵呵
liuk2009 2012-10-27 10:27
看看吧
guapiqlh 2013-01-16 10:03
分段画
cool699 2013-03-04 11:08
謝謝大大的分享
pugongying 2013-03-06 16:24
看看吧
宋凡 2013-03-25 10:58
謝謝你的分享
2102 2013-04-16 22:51
謝謝大大的分享
gsh1128 2013-06-24 16:26
算出来也就自然画出来了啊
ciomplj 2014-06-22 22:53
谢谢哈~
hjg888 2014-09-25 09:23
看一下
zouzili 2014-12-29 20:53
下来看看
whyhao99 2015-07-15 19:01
学习一下
wenge 2016-01-11 11:25
看看吧
liunian 2016-07-13 15:15
看看e:matlab画准直透镜曲线?
liunian 2016-07-13 15:19
程序如下: 0_.hU^fP  
% By Ruibin 08-9-25 m^+ ~pC5  
% InstructionThis program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. gWPa8q<b  
I'YotV7  
clear all;clc 1r4/McB  
%j; cXN  
% The Frist Step: Define independent parameters SW, Po>Y  
r=3.25;               %选择开孔半径 TD9`S SpP  
R=4.25;               %定义曲面底部半径 {P+[C O  
d=1;                  %设置透镜前方平板高度 U0T N8O}Z  
n=1.4935;             %定义材料折射率 }aIf IJ  
dividing_angle=24;    %定义CoreTIR的分界角 _ RYZyw   
min_angle=1;          %设置计算精度 0&~u0B{  
N=4;                  %设定拟合非球面系数阶数  (La  
Z;s-t\C  
% The Second StepCaculate induced variable 1>{(dd?L  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); 9\2&6H  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); b5R*]  
for i=1:(num_Core) EUqG"h5#A{  
a_Core(i)=(angles_Core(i)*pi/180); -GjJrYOU  
k1(i)=cot(a_Core(i)); @9a=D<'>  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 2T9Z{v  
end !HYqM(|{.  
k1(num_Core)=999;k2(num_Core)=0; '~ 0&m]N  
for i=1:num_TIR ?YO%]mTP  
a_TIR(i)=(angles_TIR(i)*pi/180); }XU- J An  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); ks$G6WC  
k4(i)=tan(asin(cos(a_TIR(i))/n)); m6D4J=59  
end lla96\R  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); {'(8<n57  
R#M).2::  
% The Third Step:Solve functions 7O#>N}|  
for i=1:num_Core                    %Solve the curve of Core %#~Wk|8} Q  
syms x; Y`uCDfcQ  
f1=k1(i)*x; Viw3 /K  
f2=k2(i)*(x-X0_Core)+Y0_Core; `RRORzXoS  
f=f1-f2; `0F IJT  
x=double(solve(f));y=k1(i)*x; CS49M  
X0_Core=x;Y0_Core=y; rv:O|wZ  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; KMZ`Wn=  
end {'%=tJ[YX  
for i=1:num_TIR                      %Solve the curve of TIR clNP9{  
syms x; \ :.p8`  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; b8&9pLl  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); /Y:Zqk3  
f=f1-f2; 9 pn1d.  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; Pif1sL6'  
X0_TIR=x;Y0_TIR=y; 5]E5V@C   
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 2Z~o frj  
end &0ra a  
,U}8(D~:  
% The furth Step:Fitting the curve ]Ea-?IhD  
P_Core=polyfit(Px_Core,Py_Core,4); $ }53f'QjW  
P_TIR=polyfit(Px_TIR,Py_TIR,4); {;U:0BPI3  
szHUHW~;J  
% The fifth Step:Feedback chief dimensions of the lens and Create it syF/jWM5  
%Feedback dimensions of the whole lens {$^|^n5j  
result='透镜尺寸如下:' UpILr\3U  
Diameter_of_lens=2*Px_TIR(num_TIR) & BkNkb0  
Thickness_of_lens=Py_TIR(num_TIR)+d xlAaIo)T  
Diameter_of_Core=2*r }O/Nn0,  
Thickness_of_front_pannel=d $)3/N&GXR  
Bottom_thickness=R-r -SQYr  
Lowest_Core=P_Core(5) uw]Jm"=w  
kVY@q&p  
%Feedback dimensions of Lens part TIR .JE7vPv%!  
result='TIR系数如下:' JLhp25{x  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d N@}U;x}  
Aperture=Px_TIR(num_TIR)  (c"!0v  
Obstruction=r [>E0(S]  
Position=P_TIR(5) 1K>4 i. X  
format short e; ` Oi@7 /oT  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)]  DWI!\lK  
format short; < qBPN{'a"  
=LRUasF  
%DDE Connection 7j+.H/2  
TP_COMMAND = ddeinit('TracePro','Scheme'); (w*$~p  
%Create TIR I ; _.tG  
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)))']; 1na[=Q2  
ddeexec(TP_COMMAND,cmd); wZ^/-  
cmd =['(entity:move TIR 0 0 -2.3712)']; rTH@PDk>)  
ddeexec(TP_COMMAND,cmd); N`M5`=.  
cmd =['(property:apply-name TIR "TIR")']; `fs[C  
ddeexec(TP_COMMAND,cmd); v[x`I;  
Hl#o& *Ui"  
%Feedback dimensions of Lens part TIR -Je+7#P1  
result='Core系数如下:' %UmE=V  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d {1o=/&  
Aperture=r xsfq[}eH<  
Obstruction='None' |:\h3M  
Position=P_Core(5) Th8xh=F[  
format short e; KksbhN{AB  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] \sk,3b-&'  
format short; ]C!u~A\jq  
%Create Core L2 I/h`n"  
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)))']; X **w RF  
ddeexec(TP_COMMAND,cmd); vjHbg#0%  
cmd =['(entity:move Core 0 0 5.9493)']; \R~Lf+q  
ddeexec(TP_COMMAND,cmd); #8PjYB  
cmd =['(property:apply-name Core "Core")']; t*COzE  
ddeexec(TP_COMMAND,cmd); 7l?=$q>k"  
?}W:DGudZ  
%Create Lens w(vf>L6(  
cmd =['(define Unite (bool:unite TIR Core))']; /( q*  
ddeexec(TP_COMMAND,cmd); 62W3W1: W  
cmd =['(define block (insert:block 100 100 100))']; r@_;L>  
ddeexec(TP_COMMAND,cmd); G^+0</Q  
cmd =['(entity:move block 0 0 -50)']; y"2c; *7[{  
ddeexec(TP_COMMAND,cmd); -/h$Yb  
cmd =['(define Lens (bool:subtract Unite block))']; kr3ZqMfeI  
ddeexec(TP_COMMAND,cmd); %hXa5}JL  
cmd =['(property:apply-name Lens "Lens")']; e@6}?q;  
ddeexec(TP_COMMAND,cmd); 1Ao"DxZHy7  
n44j]+P  
%Close the DDE connection ~sM334sQ  
ddeterm(TP_COMMAND); Fr3Q"(  
leav01 2016-11-22 15:11
学习学习
zjnujhc 2016-12-27 10:42
謝謝大大的分享
斯文未遂 2017-07-18 17:32
不会   肿么办
yfloy 2017-08-18 23:45
学习中不懂啊
青天如墨 2019-11-25 21:16
18楼真是大神
gxsqwmh 2021-02-24 16:10
论文中同样的问题..好难,我好菜哦
无人街角 2022-07-22 11:31
18楼程序报错啊
gongyichen 2023-02-06 11:58
有没有简单的图案看看呢,不然别人怎么能帮助你
吃鱼骨头的猫 2023-02-22 23:36
一样遇到这个情况了
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