Scattering of Mathieu beams by a rigid sphere

Belafhal, A.; Chafiq, A.; Hricha, Z.

doi:10.1016/j.optcom.2011.02.021

Cited by 19 publications

(15 citation statements)

References 18 publications

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“…An idealized non-diffracting (optical or acoustic) beam is a beam whose transverse intensity pattern has the feature of propagation-invariance [1][2][3][4][5]. Beams which are locally approximately non-diffracting are potentially useful for particle manipulation.…”

Section: Introductionmentioning

confidence: 99%

Optical theorem for acoustic non-diffracting beams and application to radiation force and torque

Zhang

Marston

2013

Biomed. Opt. Express

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Acoustical and optical non-diffracting beams are potentially useful for manipulating particles and larger objects. An extended optical theorem for a non-diffracting beam was given recently in the context of acoustics. The theorem relates the extinction by an object to the scattering at the forward direction of the beam's plane wave components. Here we use this theorem to examine the extinction cross section of a sphere centered on the axis of the beam, with a non-diffracting Bessel beam as an example. The results are applied to recover the axial radiation force and torque on the sphere by the Bessel beam.

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Section: Introductionmentioning

confidence: 99%

Optical theorem for acoustic non-diffracting beams and application to radiation force and torque

Zhang

Marston

2013

Biomed. Opt. Express

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“…The representation of any nondiffracting beam in terms of plane waves can be given by the reduced Whittaker integral as [21] E r ! ¼ expðÀik z zÞ…”

Section: Angular Spectrum and Field Distribution Of Lommel Beamsmentioning

confidence: 99%

“…Like in our previous works [21][22][23] about the scattering of Mathieu, parabolic and X-Waves by a sphere, and for reason of simplicity: neglecting the absorption of incident beam by the sphere and avoiding multiple scattering between spheres [17][18][19][20][21][22][23], we will be interested, next, to a rigid and isolated sphere.…”

Section: Scattering Of Lommel Beams Modes By a Rigid Spherementioning

confidence: 99%

“…In another work, he has explored the results of this last result to investigate the scattering of an ideal acoustic Bessel beam by a sphere, and he has extended his works for the far-field to the case of an ideal acoustic helicoïdal Bessel beam by elastic and visco-elastic spheres. Recently, by using the Whittaker integral [20], in many works, Belafhal et al [21][22][23] have been the first to have introduced the Marston theory within the optic domain to develop exact analytical solutions for the scattering of non-diffracting beams by a rigid and isolated sphere placed on their propagation axis. They have examined the cases of Mathieu [21], parabolic [22], X-waves and helicoïdal beams [23].…”

Section: Introductionmentioning

confidence: 99%

“…Recently, by using the Whittaker integral [20], in many works, Belafhal et al [21][22][23] have been the first to have introduced the Marston theory within the optic domain to develop exact analytical solutions for the scattering of non-diffracting beams by a rigid and isolated sphere placed on their propagation axis. They have examined the cases of Mathieu [21], parabolic [22], X-waves and helicoïdal beams [23].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A study of nondiffracting Lommel beams propagating in a medium containing spherical scatterers

Belafhal

Ez-zariy

Hricha

2016

Journal of Quantitative Spectroscopy and Radiative Transfer

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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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Scattering of Mathieu beams by a rigid sphere

Cited by 19 publications

References 18 publications

Optical theorem for acoustic non-diffracting beams and application to radiation force and torque

Optical theorem for acoustic non-diffracting beams and application to radiation force and torque

A study of nondiffracting Lommel beams propagating in a medium containing spherical scatterers

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

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