Propagation of the kurtosis parameter of Hollow higher-order Cosh Gaussian beams through paraxial optical ABCD system

Ebrahim, Ahmed Abdulrab Ali; Saad, Faroq; Swillam, Mohamed A.; Belafhal, A.

doi:10.1007/s11082-022-03601-2

Cited by 19 publications

(13 citation statements)

References 28 publications

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“…In the Cartesian coordinate system, the GMvHchGB along the x-and y-directions at the source plane (z = 0), take the following form (Yaalou et al 2020;Saad et al 2022;Ebrahim et al 2022)…”

Section: Theoretical Resultsmentioning

confidence: 99%

“…More recently, Hricha et al (2022) have been investigated theoretically the paraxial propagation of a partially coherent vortex cosine-hyperbolic-Gaussian beam in a turbulent atmosphere. Furthermore, we have recently investigated the propagation characteristics of a hollow higher-order Cosh-Gaussian beams in 1-Dimention (Saad et al 2022;Ebrahim et al 2022). However, to our knowledge, the propagation properties of such beams through the turbulent atmosphere have not been reported up to now.…”

Section: Introductionmentioning

confidence: 99%

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Atmospheric turbulent effects on the propagation properties of a general model vortex higher-order Cosh-Gaussian beam

Ebrahim

Swillam²,

Belafhal³

2023

Opt Quant Electron

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The propagation properties for a General Model vortex Higher-order cosh-Gaussian beam (GMvHchGB) propagating in a turbulent atmosphere studied in detail. Based on the Huygens-Fresnel diffraction principle, the analytical formula of the intensity evolution for the considered beam traveling in turbulent atmosphere is derived at various propagation distances. The derived equation provides a general convenient procedure to describe the propagation characteristics to some particular beams travelling through free space/atmospheric turbulence such as a fundamental Gaussian, Cosh-Gaussian, vortex Cosh-Gaussian and higher-order Cosh-Gaussian beams. The impact of the incident parameters as Gaussian waist, Cosh parameter, wavelength, hollowness and order of the beam are numerically verified. Our study proven that the beams maintain their intensity focused over long propagation distances. Therefore, they will be useful in long-distance free-space optical communication applications.

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“…In the Cartesian coordinate system, the GMvHchGB along the x-and y-directions at the source plane (z = 0), take the following form (Yaalou et al 2020;Saad et al 2022;Ebrahim et al 2022)…”

Section: Theoretical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Atmospheric turbulent effects on the propagation properties of a general model vortex higher-order Cosh-Gaussian beam

Ebrahim

Swillam²,

Belafhal³

2023

Opt Quant Electron

Self Cite

View full text Add to dashboard Cite

show abstract

“…Despite the fact that laser beams of hollow nature have been widely used in many applications and their behaviour in different random mediums has been investigated (Li 2021;Saad and Belafhal 2021;Bayraktar 2022;Ebrahim et al 2022;Zhao et al 2022). In the literature, the propagation of such beams in oceanic turbulence is limited to some beam types namely flat-topped vortex hollow beam (Liu et al 2015;Liu et al 2016), partially coherent anomalous hollow vortex beam (Liu et al 2019) and hollow Gaussian-Schell model vortex beam (Wang et al 2021).…”

Section: Introductionmentioning

confidence: 99%

Propagation of hollow higher-order cosh-Gaussian beam in oceanic turbulence

Elmabruk

Bayraktar²

2023

Phys. Scr.

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The averaged received intensity of hollow higher-order cosh-Gaussian (HHOCG) beam propagating in oceanic turbulence is derived based on extended Huygens–Fresnel integral. In detail, the effect of beam parameters and oceanic turbulence parameters on the received intensity is analyzed. Interestingly, beam has a focusing nature along propagation. Our results indicate that received intensity distribution is not affected from the variation in source field parameters. Beam size at the receiver plane can vary according to the changes in turbulence nature. Accordingly, the provided results will contribute to the improvement of both underwater optical communication and imaging systems.

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“…Propagation properties of ellilptic beams and Airy beams in the SNNM have been studied 9 – 12 Due to these special propagation properties, more and more new mathematical models of beams have been studied in different optical systems; these include hollow higher-order cosh Gaussian beams, 13 the hollow Gaussian vortex beams, and the Airy hollow vortex beams 14 , 15 …”

Section: Introductionmentioning

confidence: 99%

“…8 Propagation properties of ellilptic beams and Airy beams in the SNNM have been studied. [9][10][11][12] Due to these special propagation properties, more and more new mathematical models of beams have been studied in different optical systems; these include hollow higher-order cosh Gaussian beams, 13 the hollow Gaussian vortex beams, and the Airy hollow vortex beams. 14,15 The three-dimensional (3D) spatiotemporal wave packets or the light bullets, where the spatial and temporal degrees of freedom are coupled, 16,17 were first proposed in an early comprehensive review.…”

Section: Introductionmentioning

confidence: 99%

Spatiotemporal hollow multi-ring optical solitons in strongly nonlocal nonlinear media

Zhang

2023

Opt. Eng.

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Spatiotemporal optical solitons in strongly nonlocal nonlinear media (SNNM) are investigated theoretically and numerically by solving the ð3 þ 1ÞD Schrödinger equation in parabolic cylindric coordinates. The spatiotemporal optical solitons in parabolic cylindric coordinates are constructed by the Hermite-Gaussian pulses with topology charge l in the temporal domain and confluent hypergeometric beams with model number n, m in the spatial domain. The transverse field patterns of the solitons are manipulated by the confluent hypergeometric functions; meanwhile the Hermite-Gaussian pulses affect their transverse central peak's intensity. Typical examples of the obtained soliton solutions are based on spatial mode numbers m, n, pulse topology charge l, and modulation depth q. The spatiotemporal hollow multi-ring optical soliton in SNNM with m ≠ 0 is first accessed. The spatiotemporal optical soliton keeps approximately non-dispersion properties in the temporal dimension, and their widths of packets remain steady in the spatial dimension. Their transverse central peak's intensity vibrates and decays with the pulse topology charge l increasing. The spatiotemporal hollow multi-ring optical solitons in SNNM have potential applications in optical switches, optical communications, and threedimensional microprinting.

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Propagation of the kurtosis parameter of Hollow higher-order Cosh Gaussian beams through paraxial optical ABCD system

Cited by 19 publications

References 28 publications

Atmospheric turbulent effects on the propagation properties of a general model vortex higher-order Cosh-Gaussian beam

Atmospheric turbulent effects on the propagation properties of a general model vortex higher-order Cosh-Gaussian beam

Propagation of hollow higher-order cosh-Gaussian beam in oceanic turbulence

Spatiotemporal hollow multi-ring optical solitons in strongly nonlocal nonlinear media

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