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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 `m V(:  
F`;q9<NYRW  
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: evg i\"  
% By Ruibin 08-9-25 wOHK dQ'  
% Instruction:This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. N1P [&lR  
7F\U|kx_  
clear all;clc wzo-V^+q  
]wa?~;1^&  
% The Frist Step: Define independent parameters ^"6xE nA]  
r=3.25;               %选择开孔半径 ?h K+h.{  
R=4.25;               %定义曲面底部半径 YIgzFt[L  
d=1;                  %设置透镜前方平板高度 "M_X9n_  
n=1.4935;             %定义材料折射率 ;13lu1  
dividing_angle=24;    %定义Core与TIR的分界角 Rc?wIL)  
min_angle=1;          %设置计算精度 $Xz9xzOR  
N=4;                  %设定拟合非球面系数阶数 nN@8vivP%  
-U%wLkf|  
% The Second Step:Caculate induced variable HX+'{zm]  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); _~Lhc'^p*  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); <po(7XB  
for i=1:(num_Core) Eto0>YyZ  
a_Core(i)=(angles_Core(i)*pi/180);  A3'i -  
k1(i)=cot(a_Core(i)); lP9a*>=a  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ,E)bS7W  
end 1/a*8vuGh  
k1(num_Core)=999;k2(num_Core)=0; vhWj_\m  
for i=1:num_TIR JkQ4'$:  
a_TIR(i)=(angles_TIR(i)*pi/180); Y/gVyQ(  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); !c(B^E  
k4(i)=tan(asin(cos(a_TIR(i))/n)); l4R:_Z<  
end cQ3Dk<GZ  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); z ; :E~;  
Z?"Pkc.Ei  
% The Third Step:Solve functions Y&'2/zI6~  
for i=1:num_Core                    %Solve the curve of Core A "_;.e`  
syms x; eSa ]6  
f1=k1(i)*x; g[H7.  
f2=k2(i)*(x-X0_Core)+Y0_Core; Fo?2nQ<  
f=f1-f2; Xg,E;LSF8  
x=double(solve(f));y=k1(i)*x; w:M faN*  
X0_Core=x;Y0_Core=y; ;K$E;ZhPN  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; zq{L:.#ha  
end 20%xD e  
for i=1:num_TIR                      %Solve the curve of TIR CCl*v  
syms x; f*oL8"?u&  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Q CfA3*  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ,p$1n;  
f=f1-f2; 5"XcVH4g  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; tV# x{DN  
X0_TIR=x;Y0_TIR=y; S'6(&"XC H  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; O;qS 3  
end +Icg;m{  
+(cs,?`\  
% The furth Step:Fitting the curve @#8F5G#  
P_Core=polyfit(Px_Core,Py_Core,4); Fo;xA  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 1C.<@IZ  
/:U\U_j  
% The fifth Step:Feedback chief dimensions of the lens and Create it Ae`K 9  
%Feedback dimensions of the whole lens Rfa1 v*(  
result='透镜尺寸如下:' `n5 )oU2q  
Diameter_of_lens=2*Px_TIR(num_TIR) $stJ+uh  
Thickness_of_lens=Py_TIR(num_TIR)+d lXv{+ic  
Diameter_of_Core=2*r @BW~A@8  
Thickness_of_front_pannel=d Y#?Sqm(  
Bottom_thickness=R-r SwSBQq%h]M  
Lowest_Core=P_Core(5) [[[p@d/Y  
#MOEY|6  
%Feedback dimensions of Lens part TIR 5 ^f>L2  
result='TIR系数如下:' 7*@qd&  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d 0%'&s)#  
Aperture=Px_TIR(num_TIR) 9.1%T06$  
Obstruction=r GW` 9SB  
Position=P_TIR(5) o1I{^7/  
format short e; \ J9@p  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] tM{t'WU  
format short; SB eb}LZ  
iSIj ?.  
%DDE Connection FeSe^^dW  
TP_COMMAND = ddeinit('TracePro','Scheme'); %3z-^#B=  
%Create TIR q| gG{9  
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)))']; Ds0^/bYp&  
ddeexec(TP_COMMAND,cmd); w(.k6:e  
cmd =['(entity:move TIR 0 0 -2.3712)']; #Q$9Eq8"[  
ddeexec(TP_COMMAND,cmd); g-Z>1V  
cmd =['(property:apply-name TIR "TIR")']; #.Ft PR  
ddeexec(TP_COMMAND,cmd); |910xd`Z  
^U:pv0Qz  
%Feedback dimensions of Lens part TIR PN0:,.4  
result='Core系数如下:' R2t5T-8`c  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d t[iE >  
Aperture=r cq@8!Eu w]  
Obstruction='None' 6^UeEmjc  
Position=P_Core(5) A*MlK"  
format short e; [y=k}W}z  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] <\2,7K{{+;  
format short; GG%j+Ed  
%Create Core 'S@C,x%2,  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; F/&Z1G.  
ddeexec(TP_COMMAND,cmd); )}n`MRDB  
cmd =['(entity:move Core 0 0 5.9493)']; R}>Gk  
ddeexec(TP_COMMAND,cmd); 3H@TvV/;f  
cmd =['(property:apply-name Core "Core")']; C x$|7J=O  
ddeexec(TP_COMMAND,cmd); N`8?bU7a}"  
/>K$_T/]  
%Create Lens Mq6.!j  
cmd =['(define Unite (bool:unite TIR Core))']; Lgvmk  
ddeexec(TP_COMMAND,cmd); xr)kHJ:v  
cmd =['(define block (insert:block 100 100 100))']; !Edc]rg7  
ddeexec(TP_COMMAND,cmd); XSn^$$S  
cmd =['(entity:move block 0 0 -50)']; Aw9^}k}UfD  
ddeexec(TP_COMMAND,cmd); H:y.7  
cmd =['(define Lens (bool:subtract Unite block))']; f>-OwL($P  
ddeexec(TP_COMMAND,cmd); !u>29VN  
cmd =['(property:apply-name Lens "Lens")']; )#IiHBF  
ddeexec(TP_COMMAND,cmd); 4N*Fq!k~  
cz&Qoyh{;  
%Close the DDE connection KzI$GU3  
ddeterm(TP_COMMAND); rkG*0#k  
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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