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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 OxraaN`  
uI I:Y{G  
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: |Tv#4st  
% By Ruibin 08-9-25 p?02C# p  
% InstructionThis program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. lov!o: dJ  
#$.;'#u'so  
clear all;clc D, k6$`  
bTI|F]^!  
% The Frist Step: Define independent parameters x`mG<Yt  
r=3.25;               %选择开孔半径 v&6-a*<Z  
R=4.25;               %定义曲面底部半径 W8G,=d}6  
d=1;                  %设置透镜前方平板高度 5tl< 3g `  
n=1.4935;             %定义材料折射率 Z3Og=XHR  
dividing_angle=24;    %定义CoreTIR的分界角 Lc}LGq!  
min_angle=1;          %设置计算精度 zrvF]|1UP  
N=4;                  %设定拟合非球面系数阶数 lqy Qf$t  
N"Z{5A  
% The Second StepCaculate induced variable ,<.V7(|t)  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); &j;wCvE4+  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); |44Ploz2b  
for i=1:(num_Core) aEB_#1  
a_Core(i)=(angles_Core(i)*pi/180); 91/Q9xY  
k1(i)=cot(a_Core(i)); )7hqJa-V  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); kBS9tKBWg  
end t^&Cxh  
k1(num_Core)=999;k2(num_Core)=0; 11NQR[  
for i=1:num_TIR ,Co|-DYf}  
a_TIR(i)=(angles_TIR(i)*pi/180); wH*-(*N "  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); hWjc<9  
k4(i)=tan(asin(cos(a_TIR(i))/n)); )705V|v  
end &0d# Y]D4`  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 7P } W *  
5%"V[lDx@  
% The Third Step:Solve functions ]U+ LJOb  
for i=1:num_Core                    %Solve the curve of Core xR~h wj  
syms x; .e#w)K  
f1=k1(i)*x; nkPh,X\N0  
f2=k2(i)*(x-X0_Core)+Y0_Core; [+Iz@0q  
f=f1-f2; Q3'llOx  
x=double(solve(f));y=k1(i)*x; 6bg ;q(*7  
X0_Core=x;Y0_Core=y; RbB.q p  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; p%ki>p )E|  
end PI {bmZ  
for i=1:num_TIR                      %Solve the curve of TIR wLIMv3;k  
syms x; 1er TldX  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ijv(9mR  
f2=k4(i)*(x-r)+r*cot(a_TIR(i));  1~gnc|?  
f=f1-f2; cVv=*81\  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; AI2)g1m  
X0_TIR=x;Y0_TIR=y; )$2QZ qX  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; Z-%\ <zT  
end =IZT(8  
M/f<A$xx_  
% The furth Step:Fitting the curve E_rI?t^  
P_Core=polyfit(Px_Core,Py_Core,4); #^0R&) T  
P_TIR=polyfit(Px_TIR,Py_TIR,4); |"}FXa O  
yX>K/68  
% The fifth Step:Feedback chief dimensions of the lens and Create it %@b0[ZC  
%Feedback dimensions of the whole lens qz_7%c]K[  
result='透镜尺寸如下:' B`)BZ,#p  
Diameter_of_lens=2*Px_TIR(num_TIR) bIDj[-CDG  
Thickness_of_lens=Py_TIR(num_TIR)+d NWESP U):w  
Diameter_of_Core=2*r J3V= 46Yc  
Thickness_of_front_pannel=d ;nfdGB  
Bottom_thickness=R-r XSB"{H>&  
Lowest_Core=P_Core(5) dlh)gp;  
>b}o~F^J  
%Feedback dimensions of Lens part TIR mthA4sz  
result='TIR系数如下:' ;+R&}[9,A)  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d +HpA:]#Y  
Aperture=Px_TIR(num_TIR) {lzWrUGO  
Obstruction=r EU 6oQ  
Position=P_TIR(5) 0],r0  
format short e;  4\N ;2N  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] Pbn*_/H  
format short; /{J4:N'B>  
z|J_b"u4  
%DDE Connection *8A  
TP_COMMAND = ddeinit('TracePro','Scheme'); ! I:%0D  
%Create TIR 9<?M8_  
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)))']; M] %?>G  
ddeexec(TP_COMMAND,cmd); 9rX&uP)j^#  
cmd =['(entity:move TIR 0 0 -2.3712)']; O/(`S<iip  
ddeexec(TP_COMMAND,cmd); q9K)Xk$LF  
cmd =['(property:apply-name TIR "TIR")']; m])y.T  
ddeexec(TP_COMMAND,cmd); hh%-(HaLX3  
Qy<P463A(l  
%Feedback dimensions of Lens part TIR ?zMHP#i  
result='Core系数如下:' 7aRi5  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d _.Nbt(mz  
Aperture=r 05#1w#i  
Obstruction='None' |^I0dR/w:  
Position=P_Core(5) H|<[YYk  
format short e; & ywPuTt  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] S3%FHS  
format short; *;slV3  
%Create Core >2)OiQ`zg  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; UgSB>V<?  
ddeexec(TP_COMMAND,cmd); NNR`!Pty  
cmd =['(entity:move Core 0 0 5.9493)']; | j`@eF/"  
ddeexec(TP_COMMAND,cmd); uAq~=)F>,  
cmd =['(property:apply-name Core "Core")']; ZU4nc3__  
ddeexec(TP_COMMAND,cmd); 8 >EWKI9  
2]jn '4  
%Create Lens f*% D$Mqg  
cmd =['(define Unite (bool:unite TIR Core))']; !Pvf;rNI1T  
ddeexec(TP_COMMAND,cmd); {6|G@ ""O  
cmd =['(define block (insert:block 100 100 100))']; rU:`*b<  
ddeexec(TP_COMMAND,cmd); uBKgcpvTs  
cmd =['(entity:move block 0 0 -50)']; Sq V},  
ddeexec(TP_COMMAND,cmd); _Ey9G  
cmd =['(define Lens (bool:subtract Unite block))']; 7IH@oMvE  
ddeexec(TP_COMMAND,cmd); {\"x3;3!6  
cmd =['(property:apply-name Lens "Lens")']; sf qL|8  
ddeexec(TP_COMMAND,cmd); 6vo;!V6  
`2WFk8) F  
%Close the DDE connection 6I4\q.^qw  
ddeterm(TP_COMMAND); qJs<#MQ2  
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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