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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 >:OOuf#  
YLPiK  
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: }CaL:kY8  
% By Ruibin 08-9-25 W6&" .2  
% InstructionThis program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. x*i5g`jx  
Ee9u7TFT  
clear all;clc f|?i6.N> f  
)Be}Ev#)Zx  
% The Frist Step: Define independent parameters nE]R0|4h  
r=3.25;               %选择开孔半径 !rb)Y;WQt  
R=4.25;               %定义曲面底部半径 zi2hi9A  
d=1;                  %设置透镜前方平板高度 " FcA:7+  
n=1.4935;             %定义材料折射率 ~yt+xWV  
dividing_angle=24;    %定义CoreTIR的分界角 |GL#E"[&'  
min_angle=1;          %设置计算精度 -#3B>VY  
N=4;                  %设定拟合非球面系数阶数 7\JRHw  
>T.U\,om7  
% The Second StepCaculate induced variable ?.|qRzWL  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); )oG_x{  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); SWO$# X /  
for i=1:(num_Core) M^mS#<!y  
a_Core(i)=(angles_Core(i)*pi/180); wi:]oo#  
k1(i)=cot(a_Core(i)); D?qA aq&4  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); U;;vNzcn  
end nE Qw6q~je  
k1(num_Core)=999;k2(num_Core)=0; p:k>!8.Qho  
for i=1:num_TIR .cQwj L  
a_TIR(i)=(angles_TIR(i)*pi/180); \4~uop,Nb+  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); `P)atQ  
k4(i)=tan(asin(cos(a_TIR(i))/n)); m]=|%a6  
end l *yml  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); MCe =RR  
h<6@&yzp  
% The Third Step:Solve functions P et0yH  
for i=1:num_Core                    %Solve the curve of Core ,S:g 5n>M  
syms x; ~( -B%Az  
f1=k1(i)*x; GasIOPzK  
f2=k2(i)*(x-X0_Core)+Y0_Core; +aEE(u6%E@  
f=f1-f2; $}aLFb  
x=double(solve(f));y=k1(i)*x; /=lrdp!a  
X0_Core=x;Y0_Core=y; $?(fiFC  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; f`RcfYt  
end ;wp)E nF  
for i=1:num_TIR                      %Solve the curve of TIR @/`b:sv&*  
syms x; Z99%uI3  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; \.9-:\'(  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); QlSZr[^v  
f=f1-f2; K S,X$)9  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 3vHEPm]  
X0_TIR=x;Y0_TIR=y; #8%Lc3n  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; ?#rDoYt/Sx  
end ?%iAkV  
xdXt  
% The furth Step:Fitting the curve CcLP/  
P_Core=polyfit(Px_Core,Py_Core,4); + 3aAL&  
P_TIR=polyfit(Px_TIR,Py_TIR,4); (JL{X`gs#  
fN?HF'7V  
% The fifth Step:Feedback chief dimensions of the lens and Create it )`,3/i9C$  
%Feedback dimensions of the whole lens y%cg  
result='透镜尺寸如下:' 1$q SbQ  
Diameter_of_lens=2*Px_TIR(num_TIR)  *9`@  
Thickness_of_lens=Py_TIR(num_TIR)+d 'X<R)E  
Diameter_of_Core=2*r My5h;N@C  
Thickness_of_front_pannel=d teg LGp@_  
Bottom_thickness=R-r rts@1JY[  
Lowest_Core=P_Core(5) ORA +>  
S$=])^dur  
%Feedback dimensions of Lens part TIR &`Z>zT}  
result='TIR系数如下:' [L{q  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d :jT1=PfL  
Aperture=Px_TIR(num_TIR) R8W{[@  
Obstruction=r ?r'rvu'/  
Position=P_TIR(5) MJt?^G (w?  
format short e; W-<C%9O!  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] [_^K}\/+  
format short; TC<_I0jCh  
{}s7q|$  
%DDE Connection Oq|RMl  
TP_COMMAND = ddeinit('TracePro','Scheme'); >TeTa l  
%Create TIR 1Vp['&  
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)))']; KWLI7fTgj$  
ddeexec(TP_COMMAND,cmd); HKP<=<8/O  
cmd =['(entity:move TIR 0 0 -2.3712)']; @v2_gjRe  
ddeexec(TP_COMMAND,cmd); q#xoM1  
cmd =['(property:apply-name TIR "TIR")']; %S. _3`A  
ddeexec(TP_COMMAND,cmd); =d!3_IZ  
\uc]+nV!o  
%Feedback dimensions of Lens part TIR Ww{bh -nyq  
result='Core系数如下:' [W ,Ej  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d %|I~8>m  
Aperture=r &_x:+{06  
Obstruction='None' q3z<v:=1y  
Position=P_Core(5) Q=)$  
format short e; QaH32(iH  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] #e}Q|pF  
format short; 2TXrVaM  
%Create Core P6!c-\  
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)))']; 9f\Lon4lX  
ddeexec(TP_COMMAND,cmd); -lQ8 &eB  
cmd =['(entity:move Core 0 0 5.9493)']; ^a0{"|Lq  
ddeexec(TP_COMMAND,cmd); o+*YX!]#L  
cmd =['(property:apply-name Core "Core")']; XT9]+b8(M  
ddeexec(TP_COMMAND,cmd); _K<H*R  
h8&VaJ  
%Create Lens <'>c`80@\*  
cmd =['(define Unite (bool:unite TIR Core))']; -,)&?S  
ddeexec(TP_COMMAND,cmd); 7 y5`YJ}!  
cmd =['(define block (insert:block 100 100 100))']; _D1Uc|  
ddeexec(TP_COMMAND,cmd); p[2`H$A  
cmd =['(entity:move block 0 0 -50)']; )"/.2S;  
ddeexec(TP_COMMAND,cmd); 3yX^93  
cmd =['(define Lens (bool:subtract Unite block))']; dY5 m) ?  
ddeexec(TP_COMMAND,cmd); E#[_"^n  
cmd =['(property:apply-name Lens "Lens")']; { 0RwjPYp  
ddeexec(TP_COMMAND,cmd); *|{1`{8n  
1YV ;pEw3w  
%Close the DDE connection 3q:U0&F  
ddeterm(TP_COMMAND); >x9@ if  
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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