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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 3e)W_P*0?  
!+<OED=qe  
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: DbYnd%k*4  
% By Ruibin 08-9-25 R%`fd *g  
% InstructionThis program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ^-"tK:{  
Fv:x>qZr@  
clear all;clc eZ 7Atuv  
#S[Y}-]T  
% The Frist Step: Define independent parameters E *782>  
r=3.25;               %选择开孔半径 j_z@VT}y  
R=4.25;               %定义曲面底部半径 4,BJK`{  
d=1;                  %设置透镜前方平板高度 $h5QLN  
n=1.4935;             %定义材料折射率 t~":'le`zr  
dividing_angle=24;    %定义CoreTIR的分界角 ``>z8t[ks  
min_angle=1;          %设置计算精度 LyG`q3@  
N=4;                  %设定拟合非球面系数阶数 U6YHq2<  
7W>(T8K X\  
% The Second StepCaculate induced variable Uz%ynH  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); ]&tcocq  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); CV2#G*  
for i=1:(num_Core) .0MY$0s  
a_Core(i)=(angles_Core(i)*pi/180);  %\~U>3Q  
k1(i)=cot(a_Core(i)); Oc5f8uv  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); VH vL:z  
end 46~nwi$,^  
k1(num_Core)=999;k2(num_Core)=0; +x<OyjY5?]  
for i=1:num_TIR [&(~1C|C  
a_TIR(i)=(angles_TIR(i)*pi/180); w}e_ 17A  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); D$E#:[  
k4(i)=tan(asin(cos(a_TIR(i))/n)); R 83PHM  
end \ rKUPI\  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Vt:\llsin  
.kJu17!  
% The Third Step:Solve functions j3u!lZ}U  
for i=1:num_Core                    %Solve the curve of Core _nSEp >]L  
syms x; RMdU1@  
f1=k1(i)*x; \S{ihS@J  
f2=k2(i)*(x-X0_Core)+Y0_Core; *e:2iM)8~  
f=f1-f2; q d:"LS  
x=double(solve(f));y=k1(i)*x; b;NVvc(  
X0_Core=x;Y0_Core=y; qLl4t/p  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; mP?}h  
end nGur2}>n  
for i=1:num_TIR                      %Solve the curve of TIR ;Zn&Nc7  
syms x; uO1^nK  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ZP-9KA$"  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); \tCK7sBn  
f=f1-f2; -OnKvpeI  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ?~cO\(TY["  
X0_TIR=x;Y0_TIR=y; J/PK #<  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; r$Ik* R  
end uA cvUN-@  
w4zp%`?D'  
% The furth Step:Fitting the curve ~RZN+N  
P_Core=polyfit(Px_Core,Py_Core,4); I*/:rb  
P_TIR=polyfit(Px_TIR,Py_TIR,4); WcpH= "vm  
T7l,}G  
% The fifth Step:Feedback chief dimensions of the lens and Create it %4BQY>O)@  
%Feedback dimensions of the whole lens ce719n$   
result='透镜尺寸如下:' g4;|uK;  
Diameter_of_lens=2*Px_TIR(num_TIR) GoPMWbI7  
Thickness_of_lens=Py_TIR(num_TIR)+d 0T 0I<t  
Diameter_of_Core=2*r fG{3S:TQq  
Thickness_of_front_pannel=d p0}Yo8?OW  
Bottom_thickness=R-r =F dFLrx~l  
Lowest_Core=P_Core(5) eKU4"XTk  
z]=Ks_7  
%Feedback dimensions of Lens part TIR qoW$Iw*q)B  
result='TIR系数如下:' ;Rm';IW$  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d ` M-  
Aperture=Px_TIR(num_TIR) !>&G+R+k  
Obstruction=r gV*4{ d`  
Position=P_TIR(5) G=C2l# Ae!  
format short e; $"#M:V @  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] KvI/!hl\  
format short; S(rnVsW%Ki  
wzZ]| C(vp  
%DDE Connection >4HB~9dKU  
TP_COMMAND = ddeinit('TracePro','Scheme'); ]{I>HA5[  
%Create TIR ^}:0\;|N  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; YF%]%^n  
ddeexec(TP_COMMAND,cmd); zB\ 8<97 C  
cmd =['(entity:move TIR 0 0 -2.3712)']; %:dd#';g  
ddeexec(TP_COMMAND,cmd); QX_![|=  
cmd =['(property:apply-name TIR "TIR")']; e$mVA}>Ybp  
ddeexec(TP_COMMAND,cmd); &?']EcU5h9  
t*Z-]P  
%Feedback dimensions of Lens part TIR er>{#8 P  
result='Core系数如下:' Ad -_=a%  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d H D,6  
Aperture=r h-o;vC9fC  
Obstruction='None' psS^  
Position=P_Core(5) 0|4R8Dh*-  
format short e; FE#| 5;q.  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] UA#=K+2  
format short; 9yLPh/!Ob  
%Create Core @#9xSs#  
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)))']; ol_&epG;ST  
ddeexec(TP_COMMAND,cmd); ;zWiPnX}  
cmd =['(entity:move Core 0 0 5.9493)']; NCm=l  
ddeexec(TP_COMMAND,cmd); IEfm>N-]  
cmd =['(property:apply-name Core "Core")']; qzk]9`i1:  
ddeexec(TP_COMMAND,cmd); lHu/pSu@k  
ADMeOdgca  
%Create Lens h^J :k  
cmd =['(define Unite (bool:unite TIR Core))']; U1kW1L}B  
ddeexec(TP_COMMAND,cmd); C?\HB#41  
cmd =['(define block (insert:block 100 100 100))']; %,d+jBM  
ddeexec(TP_COMMAND,cmd); `"$9L[>  
cmd =['(entity:move block 0 0 -50)']; wOH 3[SKo  
ddeexec(TP_COMMAND,cmd); TdoH(( nY  
cmd =['(define Lens (bool:subtract Unite block))']; +ERuZc$3,  
ddeexec(TP_COMMAND,cmd); YKx+z[A/p  
cmd =['(property:apply-name Lens "Lens")']; eE{ 2{C  
ddeexec(TP_COMMAND,cmd); vTp,j-^  
26j-1c!NGd  
%Close the DDE connection 2[KHmdgtB  
ddeterm(TP_COMMAND); "7?xaGh8  
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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