Effects of atmospheric turbulence on the propagation

of Li’s flat-topped optical beams


A. Kinani1, L. Ez-zariy1, A. Chafiq2, H. Nebdi3, A. Belafhal1,*

1 Laboratoire de Physique Nucléaire, Atomique et Moléculaire

Département de Physique, Faculté des Sciences, Université Chouaïb Doukkali, B. P 20, 24000 El Jadida, Morocco

2 CPR Mohammed V, 46000 Safi, Morocco

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

P.O. Box : 715 , Makkah 21955, Saudi Arabia. E-mail: hbnebdi@uqu.edu.sa

* Corresponding author. E-mail:  belafhal@gmail.com

Received: 15 August 2011; revised version accepted:29 September 2011



     In this paper, we analyze the propagation of the Flat-topped beams (FTB) introduced by Li in turbulent atmosphere within the regime of weak fluctuations. We use the paraxial approximation and the Rytov theory to determine some parameters, and factors characterizing fluctuations of amplitude and phase of beams during its propagation in turbulent atmosphere. Thus, the statistical moments as the scintillation index, the probability of fade, the excepted number of fades per unit time, and the mean duration of fade are found. The obtained theoretical results are illustrated by some numerical calculations and discussions.


Keywords: Flat-topped beams; Rytov theory; Scintillation index; Probability of fade; Mean duration of fade.


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