On the beam shape coefficients of fundamental nondiffracting beams

Chafiq, A.; Gouesbet, G.; Belafhal, A.

doi:10.1016/j.jqsrt.2019.106750

Cited by 12 publications

(8 citation statements)

References 57 publications

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“…In the optical domain, Miller and al. (1984) and Chafiq and al. (2019) have demonstrated that fundamental nondiffracting optical beams can be written as superposition of Bessel beams with various orders…”

Section: Incident and Scattered Pressure Field Of Nondiffracting 1 Pa...mentioning

confidence: 96%

“…are electric fields of nondiffracting beams and Bessel beams respectively. NB l C are the expansion coefficients of the nondiffracting beams in the Bessel beams basis given by (Chafiq and al. 2019)…”

Section: Incident and Scattered Pressure Field Of Nondiffracting 1 Pa...mentioning

confidence: 99%

“…The expansion coefficients NB l C are given by Chafiq and al. (2019) for fundamental nondiffracting beams.…”

Section: Incident and Scattered Pressure Field Of Nondiffracting 1 Pa...mentioning

confidence: 99%

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Extension of optical radiation pressure force exerted on rigid sphere by non-diffracting beams to acoustical domain

Ahmidi,

Chafiq,

Belafhal

2024

Opt Quant Electron

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In this paper, the analytical expression of the axial acoustic radiation force (ARF) exerted on a spherical particle located on the propagation axis of nondiffracting beams constructed by a discrete superposition of Bessel beams is calculated. The axial acoustic radiation for the fundamental nondiffracting beams as cosine beams, Bessel beams, Mathieu beams, and parabolic or Weber beams are considered. This study is a generalization of some results on Mathieu beams published recently. In addition, the influences of each beam parameter, such as the angle of the half cone, the beam's own value, and the beam order on ARF will be examined, and the dependence of ARF with the particle radius is treated. In addition, some numerical simulations are performed the influence these parameters on the ARF. Furthermore, a comparison between the ARF exerted by each nondiffracting beam. This work may contribute to understanding the interaction between spherical particles and the fundamental nondiffracting beams. At the end of this work, a conclusion is given.

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Section: Incident and Scattered Pressure Field Of Nondiffracting 1 Pa...mentioning

confidence: 96%

Section: Incident and Scattered Pressure Field Of Nondiffracting 1 Pa...mentioning

confidence: 99%

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Extension of optical radiation pressure force exerted on rigid sphere by non-diffracting beams to acoustical domain

Ahmidi,

Chafiq,

Belafhal

2024

Opt Quant Electron

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“…the so-called nondiffracting beams, has attracted much attention for its interesting properties and potential applications. [1][2][3][4][5][6][7][8][9] The best known example of such beams is the Bessel beams, which are the exact solutions of the Helmholtz wave equation in circular cylindrical coordinates and described by Bessel function of the first kind. [10][11][12][13][14][15][16][17] The intensity distributions of these beams exhibit circular symmetry and consist of a series of concentric rings.…”

Section: Introductionmentioning

confidence: 99%

Local dynamical characteristics of Bessel beams upon reflection near the Brewster angle*

Cui¹,

Guo²,

Hui³

et al. 2021

Chinese Phys. B

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We analytically and numerically study the local dynamical characteristics of the Bessel beams reflected from an air—glass interface near the Brewster angle. A Taylor series expansion based on the angular spectrum component is applied to correct the reflection coefficients near the Brewster angle. Using a hybrid angular spectrum representation and vector potential method, the explicit expressions for the electric and magnetic field components of the reflected Bessel beams are derived analytically under paraxial approximation. The local energy, momentum, spin, and orbital angular momentum of the Bessel beams upon reflection near the Brewster angle are examined numerically by utilizing a canonical approach. Numerical simulation results show that the properties of these dynamical quantities for the Bessel beams near Brewster angle incidence change abruptly, and are significantly affected by their topological charge, half-cone angle, and polarization state. The present study has its importance in understanding the dynamical aspects of optical beams with vortex structure and diffraction-free nature during the reflection process.

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“…[30] or (ii) evaluating the BSCs of each plane wave and summing up to obtain the BSCs of the whole beam, before entering GLMT computations,e.g. without pretending to exhaustiveness [31], [32], [33], [34], [35], [36], [37], [38], [39] and [40] for a variant relying on the use of a Whittaker integral formalism. See also [41] for the relationship between BSCs and plane wave spectra.…”

mentioning

confidence: 99%

On an infinite number of quadratures to evaluate beam shape coefficients in generalized Lorenz-Mie theory and the extended boundary condition method for structured EM beams

Gouesbet

Ambrosio

Lock

2020

Journal of Quantitative Spectroscopy and Radiative Transfer

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On the beam shape coefficients of fundamental nondiffracting beams

Cited by 12 publications

References 57 publications

Extension of optical radiation pressure force exerted on rigid sphere by non-diffracting beams to acoustical domain

Extension of optical radiation pressure force exerted on rigid sphere by non-diffracting beams to acoustical domain

Local dynamical characteristics of Bessel beams upon reflection near the Brewster angle*

On an infinite number of quadratures to evaluate beam shape coefficients in generalized Lorenz-Mie theory and the extended boundary condition method for structured EM beams

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