中国物理B ›› 2016, Vol. 25 ›› Issue (4): 44206-044206.doi: 10.1088/1674-1056/25/4/044206

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

A closed form of a kurtosis parameter of a hypergeometric-Gaussian type-II beam

Khannous F, Ebrahim A A A, Belafhal A   

  1. Laboratory of Nuclear, Atomic and Molecular Physics, Department of Physics, Faculty of Sciences, Choua\"ib Doukkali University, P. D. Box 20, 24000 El Jadida, Morocco
  • 收稿日期:2015-09-08 修回日期:2015-11-12 出版日期:2016-04-05 发布日期:2016-04-05
  • 通讯作者: Belafhal A E-mail:belafhal@gmail.com

A closed form of a kurtosis parameter of a hypergeometric-Gaussian type-II beam

Khannous F, Ebrahim A A A, Belafhal A   

  1. Laboratory of Nuclear, Atomic and Molecular Physics, Department of Physics, Faculty of Sciences, Choua\"ib Doukkali University, P. D. Box 20, 24000 El Jadida, Morocco
  • Received:2015-09-08 Revised:2015-11-12 Online:2016-04-05 Published:2016-04-05
  • Contact: Belafhal A E-mail:belafhal@gmail.com

摘要: Based on the irradiance moment definition and the analytical expression of waveform propagation for hypergeometric-Gaussian type-II beams passing through an ABCD system, the kurtosis parameter is derived analytically and illustrated numerically. The kurtosis parameters of the Gaussian beam, modified Bessel modulated Gaussian beam with quadrature radial and elegant Laguerre-Gaussian beams are obtained by treating them as special cases of the present treatment. The obtained results show that the kurtosis parameter depends on the change of the beam order m and the hollowness parameter p, such as its decrease with increasing m and increase with increasing p.

关键词: Kurtosis parameter, hypergeometric-Gaussian type-II beams, paraxial optical ABCD system

Abstract: Based on the irradiance moment definition and the analytical expression of waveform propagation for hypergeometric-Gaussian type-II beams passing through an ABCD system, the kurtosis parameter is derived analytically and illustrated numerically. The kurtosis parameters of the Gaussian beam, modified Bessel modulated Gaussian beam with quadrature radial and elegant Laguerre-Gaussian beams are obtained by treating them as special cases of the present treatment. The obtained results show that the kurtosis parameter depends on the change of the beam order m and the hollowness parameter p, such as its decrease with increasing m and increase with increasing p.

Key words: Kurtosis parameter, hypergeometric-Gaussian type-II beams, paraxial optical ABCD system

中图分类号:  (General laser theory)

  • 42.55.Ah
42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation)