Propagation characteristics of Bessel-like beams through ABCD optical system

Halba, E. M. El; Boustimi, M.; Ez-zariy, L.; Hennani, Salima; Belafhal, A.

doi:10.1007/s11082-017-1099-z

“…The properties of a Bessel-like beam predominantly depend on Δk r . In recent times, the Bessel-like beam propagation through diffractive optical elements and free space has been well investigated via ABCD matrices with numerical calculations and these calculations can be easily applied in any application of Bessel-like beams [233,234].…”

Section: Bessel-like Beamsmentioning

confidence: 99%

A conceptual review on Bessel beams

Rao

2024

Phys. Scr.

3

0

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Over the past 36 years much research has been carried out on Bessel beams (BBs) owing to their peculiar properties, viz non-diffraction behavior, self-healing nature, possession of well-defined orbital angular momentum with helical wave-front, and realization of smallest central lobe. Here, we provide a detailed review on BBs from their inception to recent developments. We outline the fundamental concepts involved in the origin of the BB. The theoretical foundation of these beams was described and then their experimental realization through different techniques was explored. We provide an elaborate discussion on the different kinds of structured modes produced by the BB. The advantages and challenges that come with the generation and applications of the BB are discussed with examples. This review provides reference material for readers who wish to work with non-diffracting modes and promotes the application of such modes in interdisciplinary research areas.

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“…So the study of the propagation of laser beams through optical systems has received considerable interest from many reseachers (Chib et al 2020, Ebrahim et al 2022, Belafhal and Dalil-Essakali 2000, Boufalah et al 2019, El Halba et al 2017, Benzehoua and Belafhal 2023, Monin and Ustinov 2018, Augustyniak et al 2020, Dickson 1970, Mei et al 2005, Tovar 2000, Deng 2006, Gu et al 2013, Yangjian and Sailing 2006, Gao et al 2009. Particularly in a GIM, the propagation properties for several types of beams have been investigated such as Laguerre-Gaussian beams (Newstein and Rudman 1987), Ince-Gaussian beams (Gutierrez-Vega and Bandres 2005), Elegant Ince-Gaussian beams (Bai et al 2011), Airy-Gaussian beams (Deng 2011), hollow sinh-Gaussian beams (Zou et al 2017), Gaussian vortex beams (Yang et al 2020), vortex Hermite-cosh-Gaussian beams (Lazrek et al 2022), Generalized Humbert-Gaussian beam (Nossir et al 2020), Hollow higher-order cosh-Gaussian beam (Saad and Belafhal 2021), Chirped Airy beams (Feng et al 2017), hypergeometric laser beams (Kotlyar et al 2013), Bessel beams (Cao et al 2018), and so on.…”

Section: Introductionmentioning

confidence: 99%

Propagation analysis of Whittaker–Gaussian laser beam in a gradient-index medium

Nossir,

Dalil-Essakali,

Belafhal

2023

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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 parameters and the gradient-index parameter. Our results can be useful for some applications such as in multi-dimensional optical manipulation, remote sensing domain and imaging.

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“…So the study of the propagation of laser beams through optical systems has received considerable interest from many reseachers (Chib et al 2020, Ebrahim et al 2022, Belafhal and Dalil-Essakali 2000, Boufalah et al 2019, El Halba et al 2017, Benzehoua and Belafhal 2023, Monin and Ustinov 2018, Augustyniak et al 2020, Dickson 1970, Mei et al 2005, Tovar 2000, Deng 2006, Gu et al 2013, Yangjian and Sailing 2006, Gao et al 2009. Particularly in a GIM, the propagation properties for several types of beams have been investigated such as Laguerre-Gaussian beams (Newstein and Rudman 1987), Ince-Gaussian beams (Gutierrez-Vega and Bandres 2005), Elegant Ince-Gaussian beams (Bai et al 2011), Airy-Gaussian beams (Deng 2011), hollow sinh-Gaussian beams (Zou et al 2017), Gaussian vortex beams (Yang et al 2020), vortex Hermite-cosh-Gaussian beams (Lazrek et al 2022), Generalized Humbert-Gaussian beam (Nossir et al 2020), Hollow higher-order cosh-Gaussian beam (Saad and Belafhal 2021), Chirped Airy beams (Feng et al 2017), hypergeometric laser beams (Kotlyar et al 2013), Bessel beams (Cao et al 2018), and so on.…”

Section: Introductionmentioning

confidence: 99%

Generation of doughnut Humbert beam by a gradient-index medium

Nossir

¹

,

Dalil-Essakali

²

,

Belafhal

³

2023

Preprint

Self Cite

0

View full text Add to dashboard Cite

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 parameters and the gradient-index parameter. Our results can be useful for some applications such as in multi-dimensional optical manipulation, remote sensing domain and imaging.

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Propagation characteristics of Bessel-like beams through ABCD optical system

Cited by 11 publications

References 22 publications

A conceptual review on Bessel beams

A conceptual review on Bessel beams

Propagation analysis of Whittaker–Gaussian laser beam in a gradient-index medium

Generation of doughnut Humbert beam by a gradient-index medium

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