Effects of turbulent atmosphere on the propagation properties of vortex Hermite-cosine-hyperbolic-Gaussian beams

Abstract

The propagation properties of a vortex Hermite-cosh-Gaussian beam (vHChGB) in atmospheric turbulence are investigated based on the extended Huygens-Fresnel diffraction integral and Rytov method. The analytical formula for the average intensity of a vHChGB propagating in turbulent atmosphere is derived in detail. The influence of the turbulence strength on the intensity distribution under the change of beam parameters conditions is illustrated numerically and discussed. Results show the profile of the initial vHChGB remains unchanged within small propagation distance range, and at certain propagation distance a central peak intensity appears, and finally the beam evolves into Gaussian profile-like in farfield. The rising speed of the central peak intensity is faster when the turbulence strength is larger or the beam parameters such as the beam order, the vortex charge and the Gaussian waist width are smaller. With a small decentered parameter b, the beam profile changes faster as the wavelengthis larger, whereas the reverse behavior occurs when b is large. The obtained results may be useful for the practical applications of vHChGB in optical communications and remote sensing.

Analyzing the spreading properties of vortex beam in turbulent biological tissues

“…This attraction is a result of its wide applications in different fields, such as optical communication, information encoding, transmission, and lattice spectroscopy (Yadav et al 2007a(Yadav et al , 2007b(Yadav et al , 2008Han 2009). Several scientists, including our research group, have developed large-scale studies in this area (Cai 2006;Zhou and Chu 2009;Yang et al 2009;Wang et al 2010;Zhao and Cai 2011;Zhong et al 2011;Khannous et al 2015;Ez-Zariy et al 2016;Boufalah et al 2018;Ye et al 2019;Chib et al 2020;Hricha et al 2021aHricha et al , 2021bLazrek et al 2021;Nossir et al 2021;Chib et al 2022;Nabil et al 2022aNabil et al , 2022bNabil et al , 2022c. The progress of medicine and molecular biology had made of the turbulent biological tissues another important propagation environment.…”

Propagation properties of vortex Hermite cosine-hyperbolic-Gaussian beams in uniaxial crystals orthogonal to the optical axis

“…In addition, the main four petals slightly widen and elongate into an elliptical form under the effect of increasing the topological charge M. The high possibility of controlling the beam structure is useful for applications in optical trapping, micromanipulation, beam splitting, and optical communications. More recently, the propagation properties of the beam through a gradient-index medium (GRIN), a focusing lens system, Fractional Fourier transforms system (FRFT), turbulent atmosphere, strongly nonlocal nonlinear media (SNNM), and chiral medium have been examined (Lazrek et al 2022b;Hricha et al 2021bHricha et al , 2021cHricha et al , 2022aHricha et al , 2022bEl Halba et al 2021;Yaalou et al 2023). In the present work, we aim to explore the propagation characteristics of a vHChGB in a uniaxial crystal orthogonal to the optical axis.…”

Propagation properties of vortex Hermite cosine-hyperbolic-Gaussian beams in uniaxial crystals orthogonal to the optical axis

“…In addition, the main four petals slightly widen and elongate into an elliptical form under the effect of increasing the topological charge M. The high possibility of controlling the beam structure is useful for applications in optical trapping, micromanipulation, beam splitting, and optical communications. More recently, the propagation properties of the beam through a gradient-index medium (GRIN), a focusing lens system, Fractional Fourier transforms system (FRFT), turbulent atmosphere, strongly nonlocal nonlinear media (SNNM), and chiral medium have been examined (Lazrek et al 2022b;Hricha et al 2021bHricha et al , 2021cHricha et al , 2022aHricha et al , 2022bEl Halba et al 2021;Yaalou et al 2023). In the present work, we aim to explore the propagation characteristics of a vHChGB in a uniaxial crystal orthogonal to the optical axis.…”