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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 x?u@ j7[  
^`aw5 +S  
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: RT)*H>|  
% By Ruibin 08-9-25 {<- BU[H  
% InstructionThis program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. UC34AKm  
@E$PjdB5M  
clear all;clc {>c O&eiCt  
t>T |\WAAL  
% The Frist Step: Define independent parameters rE bC_<  
r=3.25;               %选择开孔半径 QpPJ99B|  
R=4.25;               %定义曲面底部半径 FPu"/4v&  
d=1;                  %设置透镜前方平板高度 [$Ld>`3  
n=1.4935;             %定义材料折射率 D`lTP(] y  
dividing_angle=24;    %定义CoreTIR的分界角 1v4(  
min_angle=1;          %设置计算精度 8 ]N+V:  
N=4;                  %设定拟合非球面系数阶数 \S@;>A<J  
8JUUK(&Z  
% The Second StepCaculate induced variable +M6qbIO  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); !ldb_*)h  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); E VBB:*q6  
for i=1:(num_Core) qlSc[nEk  
a_Core(i)=(angles_Core(i)*pi/180); 'Z+~G  
k1(i)=cot(a_Core(i)); u5 EHzoq  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 1Q6WpS  
end XnQo0 R.PW  
k1(num_Core)=999;k2(num_Core)=0; bO: Ei  
for i=1:num_TIR M ,8r{[2  
a_TIR(i)=(angles_TIR(i)*pi/180); ,iU ]zN//  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); ++:vO  
k4(i)=tan(asin(cos(a_TIR(i))/n)); '@u/] ra:  
end V,($I'&/  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); ]}cai1  
fi%u]  
% The Third Step:Solve functions 0!rU,74I=  
for i=1:num_Core                    %Solve the curve of Core RV|: mI  
syms x; DA@YjebP'  
f1=k1(i)*x; 02} &h  
f2=k2(i)*(x-X0_Core)+Y0_Core; 8ltHR]v  
f=f1-f2; "2X=i`rTi  
x=double(solve(f));y=k1(i)*x; @M?N[LG  
X0_Core=x;Y0_Core=y; U%ce0z  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; nv(Pwb3B  
end o*\kg+8  
for i=1:num_TIR                      %Solve the curve of TIR 0 iW]#O/  
syms x; 3mgFouX2x,  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Roy0?6O  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 5,'?NEyw  
f=f1-f2; bv>;%TF  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 0i9y-32-  
X0_TIR=x;Y0_TIR=y; S'HM|&  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; +}X?+Epm  
end =eSG7QfS  
rB}UFS)  
% The furth Step:Fitting the curve *~fZ9EkD  
P_Core=polyfit(Px_Core,Py_Core,4); [zK|OMxoV  
P_TIR=polyfit(Px_TIR,Py_TIR,4); Bm%:Qc*  
j_\sdH*r  
% The fifth Step:Feedback chief dimensions of the lens and Create it Pv`yOx&nE  
%Feedback dimensions of the whole lens Lm9y!>1"O  
result='透镜尺寸如下:' $g _h9L  
Diameter_of_lens=2*Px_TIR(num_TIR) 3~BL!e,  
Thickness_of_lens=Py_TIR(num_TIR)+d nbw&+dcJ8  
Diameter_of_Core=2*r O1coay  
Thickness_of_front_pannel=d q~r )B}  
Bottom_thickness=R-r ;'dw`)~jQ  
Lowest_Core=P_Core(5) } O9q$-8!  
";9cYoKRY  
%Feedback dimensions of Lens part TIR }+QgRGQ  
result='TIR系数如下:' ?b:J6(-  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d B @UaaWh  
Aperture=Px_TIR(num_TIR) tz&=v,_jc  
Obstruction=r G!oq ;<  
Position=P_TIR(5) 9">}@1k  
format short e; t</rvAH E  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] Q}W6?XDu  
format short; B>t$Z5Q^X  
=XJ SE+ 7  
%DDE Connection d37l/I  
TP_COMMAND = ddeinit('TracePro','Scheme'); s7SW4ff1  
%Create TIR 4CS 9vv)9R  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; `.Y["f 1B  
ddeexec(TP_COMMAND,cmd); ._-^ 58[  
cmd =['(entity:move TIR 0 0 -2.3712)']; t'_Hp},  
ddeexec(TP_COMMAND,cmd); b'O>&V`  
cmd =['(property:apply-name TIR "TIR")']; [sTr#9Z  
ddeexec(TP_COMMAND,cmd);  e1S |&W8  
IQoz8!guh:  
%Feedback dimensions of Lens part TIR Jj|HeZ1C f  
result='Core系数如下:' ,`G8U/  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d AASw^A3p  
Aperture=r 22`W*e@6h  
Obstruction='None' 1s=M3m&H  
Position=P_Core(5) RhnSQe  
format short e; X(?.*m@+TB  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] }q G{1Er  
format short; ={W;8BUV%^  
%Create Core wZh&w<l'  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; R?Ki~'k=  
ddeexec(TP_COMMAND,cmd); fr;>`u[;  
cmd =['(entity:move Core 0 0 5.9493)']; 234 OJ?  
ddeexec(TP_COMMAND,cmd);  3@J0-w  
cmd =['(property:apply-name Core "Core")']; k)b}"' I  
ddeexec(TP_COMMAND,cmd); >,y291p2  
)~T)$TS  
%Create Lens |zKe*H/  
cmd =['(define Unite (bool:unite TIR Core))']; O>w Gc8Of\  
ddeexec(TP_COMMAND,cmd); m7zen530  
cmd =['(define block (insert:block 100 100 100))']; IwKhun  
ddeexec(TP_COMMAND,cmd); U voX\  
cmd =['(entity:move block 0 0 -50)']; wW1aG  
ddeexec(TP_COMMAND,cmd); \s<{V7tq  
cmd =['(define Lens (bool:subtract Unite block))']; d `>M-:dF  
ddeexec(TP_COMMAND,cmd); (\, <RC\  
cmd =['(property:apply-name Lens "Lens")']; s&iM.[k  
ddeexec(TP_COMMAND,cmd); 4v33{sp  
n&D<l '4  
%Close the DDE connection ZvpcjP  
ddeterm(TP_COMMAND); EQSOEf[  
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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