OF KUMMER beams in a turbulent atmosphere


F. Khannous1, H. Nebdi1, M. Boustimi2, M. Khouilid1, A. Belafhal1*

1Laboratory of Nuclear, Atomic and Molecular Physics
Department of Physics, Faculty of Sciences, Choua´b Doukkali University,

P. B 20, 24000 El Jadida, Morocco

2Physics Department, College of Applied Sciences, Umm Al-Qura University,

P.O. Box : 715 , Makkah 21955, Saudi Arabia.

* Corresponding authors:

Received: 07 February 2014; revised version accepted: 28 June 2014



    In this paper, the propagation of the superposition of Kummer beams (SKBs) in a turbulent atmosphere is investigated. Analytical axial intensity of the SKBs is derived by using the extended Huygens-Fresnel integral formula in the paraxial approximation, and based on the expression of the hard aperture. Utilizing the analytical expression, numerical calculation is explored. Results show that the axial intensity distribution changes with the variation of the order N, the topological charge, the wavelength, the beams waist width, and for different values of the turbulence strength. The average intensity of flattened-Gaussian and the fundamental Gaussian beams has been extracted, as a special case from the obtained results. Our present study shows that the axial intensity distribution of these beams family depends on the variation of the turbulent strength and the parameters of the initial field.


Keywords: Turbulent atmosphere; Huygens-Fresnel integral formula; Average intensity; Topological charge.



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