2023
DOI: 10.1007/s11082-023-05317-3
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Propagation analysis of Whittaker–Gaussian laser beam in a gradient-index medium

N. Nossir,
L. Dalil-Essakali,
A. Belafhal

Abstract: In this paper, we generate a new doughnut Humbert beam from a Whittaker-Gaussian (WG) beam propagating through a gradient-index medium (GIM). Based on the extended Huygens-Fresnel diffraction integral, the analytical expression of the intensity distribution for doughnut Humbert beam is derived and discussed through numerical examples. The obtained results indicate that the diffracted beam evolves periodically versus the propagation distance in GIM and its behavior depends interestingly on the beam initial para… Show more

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Cited by 10 publications
(3 citation statements)
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“…These characteristics are a subset of standard circular beams (Bandres and Gutiérrez-Vega 2008) and can be represented by two special functions one is the Whittaker the other is the confluent hypergeometric functions and are expressed by a number of independent factors that allow the beam to be solicited in a variety of application fields. This profile flexibility has piqued the interest of laser researchers in recent years, so certain works have been dedicated to this family of beams for example, the radiation force produced by the Whittaker-Gaussian beam, as well as their propagation properties through a gradient-index medium and in a turbulent environment, have been investigated (Tang et al 2018;Nossir et al 2023aNossir et al , 2023b.…”
Section: Introductionmentioning
confidence: 99%
“…These characteristics are a subset of standard circular beams (Bandres and Gutiérrez-Vega 2008) and can be represented by two special functions one is the Whittaker the other is the confluent hypergeometric functions and are expressed by a number of independent factors that allow the beam to be solicited in a variety of application fields. This profile flexibility has piqued the interest of laser researchers in recent years, so certain works have been dedicated to this family of beams for example, the radiation force produced by the Whittaker-Gaussian beam, as well as their propagation properties through a gradient-index medium and in a turbulent environment, have been investigated (Tang et al 2018;Nossir et al 2023aNossir et al , 2023b.…”
Section: Introductionmentioning
confidence: 99%
“…There has long been a great deal of theoretical and practical interest in the propagation of laser beams over atmospheric turbulence (Hajjarian et al, 2010;Gbur et al, 2014;Benzehoua et al, 2023b;Chib et al, 2020;Nossir et al, 2021Nossir et al, , 2023a. Due to the intricacy of oceanic turbulence, laser beam propagation through it is comparatively less studied than that via atmospheric turbulence.…”
Section: Introductionmentioning
confidence: 99%
“…There has been extensive interest in studying the propagation of light laser beam propagating in biological tissue due to its wide range of applications in medical optics such as biomedical imaging and optical coherence tomography, as well as for disease diagnosis or screening purposes (de Boer et al 1997;Hitzenberger et al 2001;Gao 2006;Mallidi et al 2011). Furthermore, biological tissue is a turbulent medium with viscous properties; its refractive index inhomogeneity is a key factor affecting light propagation which has a spatial structure that shows similarity to that of atmospheric turbulence, the ocean consists of a network of vortices or eddies Nossir et al 2021Nossir et al , 2023aBenzehoua et al 2023a;Zhang et al 2019;Gbur 2014). In other words, the laser beam propagation interacts with the biological tissues to develop bio-optical disease detection and treatment technology in different forms such as refection, refraction, interference, scattering, attenuation, polarization, scintillation and so on, due to the integrated effect of these random phenomena (Martelli et al 2009;Andrews and Phillips 2005;Gao and Korotkova 2007;Ishimaru 1978).…”
Section: Introductionmentioning
confidence: 99%