Kurtosis parameter of superposition of Kummer beams propagating through ABCD optical system

Authors

  • F. Khannous Laboratory of Nuclear, Atomic and Molecular Physics Department of Physics, Faculty of Sciences, Chouaïb Doukkali University, P. B.: 20, 24000 El Jadida, Morocco
  • H. Nebdi Laboratory of Nuclear, Atomic and Molecular Physics Department of Physics, Faculty of Sciences, Chouaïb Doukkali University, P. B.: 20, 24000 El Jadida, Morocco
  • M. Boustimi Physics Department, College of Applied Sciences, Umm Al-Qura University, P.O. Box : 715 , Makkah 21955, Saudi Arabia
  • A. Belafhal Laboratory of Nuclear, Atomic and Molecular Physics Department of Physics, Faculty of Sciences, Chouaïb Doukkali University, P. B.: 20, 24000 El Jadida, Morocco

DOI:

https://doi.org/10.34874/IMIST.PRSM/fsejournal-v5i2.28460

Keywords:

Superposition of Kummer beams, Kurtosis parameter, ABCD optical system, Topological charge, Fresnel number.

Abstract

In this study, on the basis of the propagation equation of superposition of Kummer beams and irradiance moments definition, an analytical propagation expression for the kurtosis parameter K of this beams family is derived and illustrated with numerical examples. As a special case, the K parameter of the fundamental Gaussian beam is equal 2 in the polar coordinates. The numerical results shown that the parameter K is affected by the change of the beams order, the topological charge and the beam waist.

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Published

01-02-2016

Issue

Vol. 5 No. 2 (2015)

Section

Physics, Chemistry, Engineering Sciences