Fractional Fourier transforms of vortex Hermite-cosh-Gaussian beams

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.…”

Evolution properties of Laguerre higher order cosh-Gaussian beam propagating through fractional Fourier transform optical system

“…Researchers have explored the possibility of investigating the fractional Fourier transform of various models for light beams, such as elliptical Gaussian beams (Cai and Lin, 2009) Lorentz and Lorentz Gaussian beams (Zhou, 2009a,b), Anomalous hollow beam (Wang and Zhao, 2009), four-petal Gaussian beams (Tang 2009), Airy beam (Zhou et al 2012), confluent hypergeometric beams (Tang et al 2012), hollow sinh-Gaussian beams (Tang et al 2014), hypergeometric-Gaussian beams (Qu et al 2015), double-half inverse Gaussian hollow beams (Saad et al 2018), circular cosine hyperbolic-Gaussian beams (El Halba et al 2022) among others. In addition, many papers have been reported to study the propagation of vortices beams in FRFT including, Lorentz-Gauss vortex beams (Zhou et al 2013) vortex cosine hyperbolic-Gaussian beams (Hricha et al 2020), four-petal Gaussian vortex (Dai et al 2021), vortex Hermite-cosh-Gaussian beams (El Halba, 2021).…”

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.…”