Propagation of truncated

Bessel-modulated Gaussian beams in turbulent atmosphere


A. Belafhal*, S. Hennani, L. Ez-zariy, A. Chafiq, M. Khouilid

Laboratoire de Physique Nucléaire, Atomique et Moléculaire,

Département de Physique, Faculté des Sciences, Université Chouaïb Doukkali

B.P. 20, El Jadida 24000, Morocco

* Corresponding author. E-mail:

Received: 02 July 2011; revised version accepted: 20 October 2011


     We investigate the propagation characteristics of truncated Bessel-modulated Gaussian beams in turbulence. Based on the extended Huygens-Fresnel integral formula in the paraxial approximation, an approximate analytical axial intensity of the considered beams family is formulated. By using our theoretical results, numerical examples are given to illustrate the axial intensity distribution in turbulence which is compiled numerically for different beam parameters and for different values of the turbulence strength. Our result is very accurate in the far field, because the use of the paraxial approximation and by using the expression of the hard-edge aperture function expanded as a sum of finite-term complex Gaussian function.


Keywords: Bessel-modulated Gaussian beam (QBG); Axial intensity; Turbulent atmosphere.

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