Abstract
In this paper, we present a theoretical study of the propagation properties for Generalized Humbert-Gaussian beams (GHGBs) passing through a turbulent atmosphere. The axial intensity distribution of beams propagating through atmospheric turbulence is evaluated analytically based on the Huygens-Fresnel diffraction integral and the Rytov theory. The impact of the incident beam parameters and the turbulent strength on the output axial intensity is investigated through numerical illustrations. The results show that the propagation of GHGBs is faster when the atmosphere is very turbulent for small wavelength and small beam waist.
Highlights
The propagation of laser beams in a turbulent atmosphere has received a lot of attention from many researchers for several years, due to their large applications in many areas of science and practical engineering including free space optical communications [1], active optical imaging system [2], and remote sensing [3]
In our research group Khannous et al have interested to the propagation characteristics of some laser beams in turbulent atmosphere such as: Kummer beams [11], Hypergeometric-Gaussian beams Type II [12] and Hollow-Gaussian beams [13]
Ez-zariy et al [16] have investigated the propagation of Lommel-Gaussian beams through atmospheric turbulence, Boufalah et al [17,18] have reported a study of the propagation of Pearcey-Gaussian beam and Generalized Laguerre-Bessel-Gaussian beams in turbulent atmosphere and Yaalou et al [19] have developed theoretically the propagation characteristics of dark and antidark-Gaussian beams in turbulent atmosphere
Summary
The propagation of laser beams in a turbulent atmosphere has received a lot of attention from many researchers for several years, due to their large applications in many areas of science and practical engineering including free space optical communications [1], active optical imaging system [2], and remote sensing [3]. We will interest in the present study to the propagation properties of the Generalized Humbert beams modulated by Gaussian envelope (GHGBs) in turbulent atmosphere, where the Generalized Humbert beams (GHBs) are new hollow beams generated recently by Belafhal and Saad [20]. We note that under certain appropriate conditions of input beam parameters, some special cases of beams derived from CiBs as Generalized Humbert beams generated from Whittaker-Gaussian beams (WGBs), Hypergeometric-Gaussian beams (HyGBs), elegant Laguerre-Gaussian (eLGBs), standard Laguerre-Gaussian beam (sLGBs), generalized Laguerre-Gaussian beam (gLGBs), and quadratic Bessel-Gaussian beam (QBGBs), respectively This family of beams will give rise to different particular cases beams of GHGBs and possesses interesting properties. The receiver plane is positioned at propagation distance z away from the transmitter plane
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