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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 \|HNFxT`  
_UP fqC ?  
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: ,a0RI<D  
% By Ruibin 08-9-25 G}dq ft5"  
% InstructionThis program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. @c>MROlrlF  
3?+t%_[  
clear all;clc je%y9*V  
aOUTKyR ~  
% The Frist Step: Define independent parameters TTo?BVBK  
r=3.25;               %选择开孔半径 M@pF[J/  
R=4.25;               %定义曲面底部半径 #!(2@N8  
d=1;                  %设置透镜前方平板高度 ZlQ&m  
n=1.4935;             %定义材料折射率 {X nBj}C  
dividing_angle=24;    %定义CoreTIR的分界角 aCfWbJ@qiG  
min_angle=1;          %设置计算精度 M pz9}[`3g  
N=4;                  %设定拟合非球面系数阶数 s`]SK^j0  
}JUc!cH8z  
% The Second StepCaculate induced variable +.u HY`A  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); B+c,3@)x  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); uy|]@|J  
for i=1:(num_Core) T7?z0DKi  
a_Core(i)=(angles_Core(i)*pi/180); ,L\KS^>  
k1(i)=cot(a_Core(i)); $?OQtz@  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); '^'PdB  
end Z|3[Y@c \  
k1(num_Core)=999;k2(num_Core)=0; |g<l|lqz|  
for i=1:num_TIR !Okl3 !fC  
a_TIR(i)=(angles_TIR(i)*pi/180); lvR>%I0`*  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); :vFYqoCn  
k4(i)=tan(asin(cos(a_TIR(i))/n)); j}G9+GX~,  
end Xw162/:h  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); a{.-qp  
, LqfwA|  
% The Third Step:Solve functions aMxM3"  
for i=1:num_Core                    %Solve the curve of Core AbX#wpp!  
syms x; wZj`V_3  
f1=k1(i)*x; x*:"G'zT  
f2=k2(i)*(x-X0_Core)+Y0_Core; dZC jg0cx  
f=f1-f2; 8(!?y[  
x=double(solve(f));y=k1(i)*x; Saks~m7,  
X0_Core=x;Y0_Core=y; <II>io ;  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; <CS,v)4,nH  
end d @b ]/  
for i=1:num_TIR                      %Solve the curve of TIR {@tO9pc`8  
syms x; zRm@ |IT  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; )s ?Hkn  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); L~Xzo  
f=f1-f2; 8`|Z9umW*  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; YizwKcuZ  
X0_TIR=x;Y0_TIR=y; AFWWGz  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 87R$Y> V  
end @3?dI@i(  
1f$1~5Z  
% The furth Step:Fitting the curve 5^N` ~  
P_Core=polyfit(Px_Core,Py_Core,4); 22EI`}"J  
P_TIR=polyfit(Px_TIR,Py_TIR,4); r <2&_$|  
{YIVi:4q  
% The fifth Step:Feedback chief dimensions of the lens and Create it EB p(^r j  
%Feedback dimensions of the whole lens jZ,=tF  
result='透镜尺寸如下:' u X(#+  
Diameter_of_lens=2*Px_TIR(num_TIR) $$T a  
Thickness_of_lens=Py_TIR(num_TIR)+d ii ^Nxnc=  
Diameter_of_Core=2*r Fw%S%*B8g  
Thickness_of_front_pannel=d 3nx*M=  
Bottom_thickness=R-r a.XMeB  
Lowest_Core=P_Core(5)  N1dM,H  
 [4mIww%  
%Feedback dimensions of Lens part TIR i >BQRbU  
result='TIR系数如下:' xHlO~:Lc  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d V"A* B  
Aperture=Px_TIR(num_TIR) =^w:G=ymS  
Obstruction=r Y>CZ  
Position=P_TIR(5) J/c5)IB|  
format short e; *>jJ<8!  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] "]yfx@)_  
format short; \*30E<;C_  
0He^r &c3  
%DDE Connection &[[Hfs2:-]  
TP_COMMAND = ddeinit('TracePro','Scheme'); PC& (1kJ  
%Create TIR &hIr@Gi@ch  
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)))']; s<8|_Dt  
ddeexec(TP_COMMAND,cmd); gV-A+;u  
cmd =['(entity:move TIR 0 0 -2.3712)']; Ots]y  
ddeexec(TP_COMMAND,cmd); W"5VqN6v  
cmd =['(property:apply-name TIR "TIR")']; KK/siG~O  
ddeexec(TP_COMMAND,cmd); (5)DQ 1LaF  
 *,e `.  
%Feedback dimensions of Lens part TIR b5l;bXp]  
result='Core系数如下:' v<gve<]  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d E<tJ8&IGk  
Aperture=r Y58et9gRO  
Obstruction='None' ynZfO2kf  
Position=P_Core(5) X>Y>1fI.  
format short e; =la~D]T*g  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] fh9w5hT={  
format short; 3:3>k8  
%Create Core #6 M3BF  
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)))']; et@<MU@ `  
ddeexec(TP_COMMAND,cmd); l'Uj"9r,  
cmd =['(entity:move Core 0 0 5.9493)']; D3C3_ @*  
ddeexec(TP_COMMAND,cmd); 32K  
cmd =['(property:apply-name Core "Core")']; OsgjSJrf  
ddeexec(TP_COMMAND,cmd); BB? 4>#D  
< !PbD  
%Create Lens uVzvUz{b  
cmd =['(define Unite (bool:unite TIR Core))']; @}_Wl<kn  
ddeexec(TP_COMMAND,cmd); +?GsIp@>jh  
cmd =['(define block (insert:block 100 100 100))']; Url8&.pw  
ddeexec(TP_COMMAND,cmd); bfKF6  
cmd =['(entity:move block 0 0 -50)']; R-1C#R[  
ddeexec(TP_COMMAND,cmd); :E2 ww`  
cmd =['(define Lens (bool:subtract Unite block))']; @ gjA8mL  
ddeexec(TP_COMMAND,cmd); @ "/:Omh  
cmd =['(property:apply-name Lens "Lens")']; dEPLkv  
ddeexec(TP_COMMAND,cmd); />V& OX `  
??,/85lM  
%Close the DDE connection e9rgJJ  
ddeterm(TP_COMMAND); r!/<%\S  
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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