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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 yCk9Xc  
osB8 '\GR  
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: (Bpn9}F-V.  
% By Ruibin 08-9-25 fX1Ib$v  
% InstructionThis program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. k@>(sXs  
G%}k_vi&q  
clear all;clc ]4lC/ &nm  
X@A8~ kj1  
% The Frist Step: Define independent parameters yVpru8+eD  
r=3.25;               %选择开孔半径 9sv#TT5V  
R=4.25;               %定义曲面底部半径 ,,S 2>X*L  
d=1;                  %设置透镜前方平板高度 PbV1FB_  
n=1.4935;             %定义材料折射率 (8NE'd8  
dividing_angle=24;    %定义CoreTIR的分界角 3_{rXtT)'  
min_angle=1;          %设置计算精度 YWk+}y}^d  
N=4;                  %设定拟合非球面系数阶数 }%y5<n*v\  
{t]8#[lo  
% The Second StepCaculate induced variable >Wd_?NaI  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); 7$R^u7DZ  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 8@FgvWC  
for i=1:(num_Core) 2';{o=TXV  
a_Core(i)=(angles_Core(i)*pi/180); wRX#^;O9?>  
k1(i)=cot(a_Core(i)); '@^mesMG  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ? Z2`f6;W4  
end lpbcpB  
k1(num_Core)=999;k2(num_Core)=0; $B]_^  
for i=1:num_TIR <?Z]h]C^o  
a_TIR(i)=(angles_TIR(i)*pi/180); 8>I4e5Ym  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); q1rD>n&d  
k4(i)=tan(asin(cos(a_TIR(i))/n)); B,ao%3t  
end @)ls+}=Y  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); &IG*;$c!  
1V,DcolRY  
% The Third Step:Solve functions ' Yy+^iCus  
for i=1:num_Core                    %Solve the curve of Core hij 9r z  
syms x; S++jwP  
f1=k1(i)*x; W*u$e8i7  
f2=k2(i)*(x-X0_Core)+Y0_Core; q5) K  
f=f1-f2; gBXoEn]  
x=double(solve(f));y=k1(i)*x; F84<='K  
X0_Core=x;Y0_Core=y; 7oCY@>(f  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; r\C"Fx^  
end .k,,PuP  
for i=1:num_TIR                      %Solve the curve of TIR 12tAx3p  
syms x; $h  >rs  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; qtz~Y~h|>  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); #w!ewCvt  
f=f1-f2; +Ur75YPh  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; R)=){SI:1)  
X0_TIR=x;Y0_TIR=y; ]na$n[T/I  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; @oD2_D2  
end jq_ i&~S  
Uu9I;q!|  
% The furth Step:Fitting the curve qv<^%7gq  
P_Core=polyfit(Px_Core,Py_Core,4); DjvPeX  
P_TIR=polyfit(Px_TIR,Py_TIR,4); >H,E3Z  
}>b@=5O  
% The fifth Step:Feedback chief dimensions of the lens and Create it Qs<L$"L1  
%Feedback dimensions of the whole lens TRE D_6  
result='透镜尺寸如下:' zNg[%{mz  
Diameter_of_lens=2*Px_TIR(num_TIR) ,@zw  
Thickness_of_lens=Py_TIR(num_TIR)+d D8WKy  
Diameter_of_Core=2*r UsdMCJ&G  
Thickness_of_front_pannel=d oE,TA2  
Bottom_thickness=R-r tF.N  
Lowest_Core=P_Core(5) {f;DhB-jj  
RW<4",  
%Feedback dimensions of Lens part TIR UMK9[Iy$<M  
result='TIR系数如下:' Us%g&MWdpb  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d 4Zn [F^p  
Aperture=Px_TIR(num_TIR) 0y2zjXM;3  
Obstruction=r <00=bZzX  
Position=P_TIR(5) "1 UpoF'w  
format short e; mRxeob  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] y=AF EP  
format short; 9!ARr@ ;  
n|B<rx?v  
%DDE Connection .dwbJT  
TP_COMMAND = ddeinit('TracePro','Scheme'); =JxEM7r  
%Create TIR t~":'le`zr  
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)))']; BQB<+o'  
ddeexec(TP_COMMAND,cmd); LyG`q3@  
cmd =['(entity:move TIR 0 0 -2.3712)']; & u6ydN1xe  
ddeexec(TP_COMMAND,cmd); #];ulDq  
cmd =['(property:apply-name TIR "TIR")']; *] !r T&E  
ddeexec(TP_COMMAND,cmd); e2L>"/  
}[(v(1j='~  
%Feedback dimensions of Lens part TIR zT93Sb  
result='Core系数如下:' :`uu[^  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d o[q|dhrANh  
Aperture=r gLK0L%"5  
Obstruction='None' ^ ~dC&!D  
Position=P_Core(5) 5tEkQ(Ei8  
format short e; 46~nwi$,^  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] +x<OyjY5?]  
format short; ~(:0&w%e  
%Create Core S>jOVWB  
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)))']; Hoi~(Vc.  
ddeexec(TP_COMMAND,cmd); MeAY\V%G=o  
cmd =['(entity:move Core 0 0 5.9493)']; }rF4M1+B\  
ddeexec(TP_COMMAND,cmd); $9u:Ox 2  
cmd =['(property:apply-name Core "Core")']; +{#Z^y6&  
ddeexec(TP_COMMAND,cmd); !>/J]/4>  
ja(ZJ[<`  
%Create Lens Y=y 0`?K  
cmd =['(define Unite (bool:unite TIR Core))']; ubc k{\.  
ddeexec(TP_COMMAND,cmd); *e:2iM)8~  
cmd =['(define block (insert:block 100 100 100))']; XJk~bgO*  
ddeexec(TP_COMMAND,cmd); )19#g1rn5  
cmd =['(entity:move block 0 0 -50)']; X1BqN+=@9  
ddeexec(TP_COMMAND,cmd); Bj\Us$cZ  
cmd =['(define Lens (bool:subtract Unite block))']; qxYCT$1  
ddeexec(TP_COMMAND,cmd); SL +\{V2  
cmd =['(property:apply-name Lens "Lens")']; P/Y)Yx_(  
ddeexec(TP_COMMAND,cmd); y. (m#&T  
}9FWtXAU^1  
%Close the DDE connection x'SIHV4M@Q  
ddeterm(TP_COMMAND); I.`D BI#-f  
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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