Far-field divergence angle of nonparaxial rotationally symmetric Laguerre-Gaussian beams
-
1.
Department of Physics, Qiongzhou University, Wuzhishan 572200, China;
-
2.
Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China
-
Corresponding author:
LÜ Bai-da, badalu@scu.edu.cn
-
Received Date:
2004-11-08
Accepted Date:
2005-02-24
-
Abstract
Based on the second-order moment of the power density,the far-field divergence angle of nonparaxial rotationally symmetric Laguerre-Gaussian(LG) beams is derived and expressed in a sum of the series of the Gamma function.It is shown that the far-field divergence angle of nonparaxial rotationally LG beams approaches to an asymptotic value of 63.435° as the initial waist-width to wavelength ratio w0/λ approaches zero,which is independent of the order.For the special case of p=0 our result reduces to that of nonparaxial Gaussian beams.
-
-
References
|
[1]
|
PORRAS M A.Non-paraxial vectorial moment theory of light beam propagation[J].Opt Commun,1996,127:79～95. |
|
[2]
|
DUAN K L,LΒB D.Non-paraxial Hermite-Gaussian-beams and their higher-order corrections[J].Laser Technology,2003,27(2):155～157(in Chinese). |
|
[3]
|
PORRAS M A.Finiteness and propagation law of the power density second-order moment for diffracted scalar light beam[J].Optik, 1999,110(9):417～420. |
|
[4]
|
SIEGMAN A E.Laser[M].California:University Science Books Mill Vallry,1986.644. |
|
[5]
|
GOODMAN J W.Introduction to fourier optics[M].Beijing:Science Press,1979.54～58(in Chinese). |
|
[6]
|
CAO Q,DENG X M,GUO H.Power carried by scalar light beams[J].Opt Commun,1998,151:212～216. |
|
[7]
|
BEYER W H.Standard mathematical tables and formulate[M].29 th ed,Boca:CRC Press,1991.378. |
|
[8]
|
LΒB D.Laser optics[M].3 rd ed,Beijing:Higher Education Press, 2003.105(in Chinese).185 |
-
-
Proportional views
-
Map
DownLoad: