Multiple scattering between a cylinder and a plane

Bertrand, J. C.; Young, John W.

doi:10.1121/1.381239

Cited by 23 publications

(3 citation statements)

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“…The image method was first employed to study radiation of simple acoustic sources near a plane boundary, showing Lloyd's mirror behaviour for near-surface monopoles [14][15][16][17][18]. The image method has also been implemented to study sound scattering by a rigid cylinder near an impedance boundary, displaying similar patterns of enhanced or reduced scattering depending on the proximity to the planar surface [19][20][21]. More recently, the vibrational characteristics and far-field sound radiation of a cylindrical shell near an impedance plane or a free sea surface has been studied [22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

On the vibro-acoustic response of a cylindrical shell submerged near a free sea surface

Marsick

Sharma

Eggler

et al. 2021

Journal of Sound and Vibration

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Section: Introductionmentioning

confidence: 99%

On the vibro-acoustic response of a cylindrical shell submerged near a free sea surface

Marsick

Sharma

Eggler

et al. 2021

Journal of Sound and Vibration

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“…The improved formalism presented here is valid for any scattering regime (i.e., Rayleigh, Mie or geometrical/ray acoustics). It also accounts for the multiple interactions occurring between the particle and the rigid boundary [13][14][15][16], described using the modal expansion method in cylindrical coordinates [17], the method of images [18,19] and the translational addition theorem [20].…”

Section: Introductionmentioning

confidence: 99%

Acoustic radiation force on a cylindrical particle near a planar rigid boundary

Mitri

2018

J. Phys. Commun.

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The aim of this investigation is to provide improved mathematical series expansions of the longitudinal and transverse acoustic radiation forces for a rigid cylindrical particle in 2D of arbitrary cross-section located near a planar rigid wall. Incident plane progressive waves with variable angle of incidence are considered in a non-viscous fluid. The multiple scattering effects occurring between the particle and the rigid boundary are described using the partial-wave decomposition in cylindrical coordinates, the method of images and the translational addition theorem. Initially, an effective acoustic field incident on the particle is defined, which includes the primary incident field, the reflected waves from the flat wall and the scattered field from the image object. Subsequently, the incident effective field along with the scattered field from the object are utilized to obtain closed-form mathematical expressions for the longitudinal and transverse radiation force functions, based on a scattering approach in the far-field. The radiation force vector components are formulated in partialwave series in cylindrical coordinates, which involve the incidence angle, the expansion coefficients of the scatterer and its image, and the distance from the center of mass of the particle to the boundary. Numerical examples for a rigid circular cylinder are considered. Computations for the longitudinal and transverse non-dimensional radiation force functions are performed. Emphasis is given on varying the size of the particle, the incidence angle of the source field and the particle-wall distance. Depending on the particle-wall distance and incidence angle, zero-longitudinal and transverse force components arise, thus, the particle becomes unaffected by the linear momentum transfer. Moreover, pushing or pulling forces between the particle and wall are predicted depending on the particle-wall distance, the incidence angle and size parameter. The results may find possible applications in the development of acousto-fluidic devices, acoustic levitation of particles nearby a boundary, cloaking/ invisibility, and underwater acoustics to name a few areas, where most investigations resort initially to numerical simulations to guide the experimental design processes.

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“…Before applying the appropriate boundary conditions to determine the expansion coefficients, the expressions for the pressure fields have to be rewritten, all referred to a common system of coordinates. The adequate boundary conditions of continuity must be satisfied, either at the planar rigid boundary surface (applied previously in the context of the multiple acoustic scattering [46,47] from a rigid boundary [48,49]), or at the surface of the particle and its corresponding image in both systems of coordinates [50]. Both methods are equivalent, and lead to the same result.…”

Section: Introductionmentioning

confidence: 99%

Extrinsic and intrinsic acoustical cross-sections for a viscous fluid particle near a planar rigid boundary: circular cylinder example

Mitri

2017

J. Phys. Commun.

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The objective of this investigation is to derive closed-form partial-wave series expansions for the extrinsic and intrinsic acoustical scattering, extinction and absorption cross-sections of a fluid viscous cylindrical particle of arbitrary geometrical cross-section, located nearby a flat rigid boundary. Plane progressive waves with arbitrary incidence angle are considered in a non-viscous fluid. The multiple scattering between the particle and the boundary is described using the multipole expansion in cylindrical coordinates, the method of images and the translational addition theorem. The extrinsic cross-sections are determined by integrating the associated power flow densities over a virtual surface of large radius enclosing the object and its image, stemming from far-field expressions of the incident and scattered pressure fields. The expressions for the intrinsic cross-sections are established after defining an effective acoustic field incident on the particle, which includes the primary incident field, the reflected waves from the boundary and the scattered field from the image object. Subsequently, the incident effective field is used with the scattered field from the object to derive closed-form analytical expressions for the intrinsic cross-sections, based on a far-field scattering approach, which does not introduce any approximation in the evaluation of the expressions. The obtained expressions involve the angle of incidence, the expansion coefficients of the scatterer and its image, and the distance from the center of mass of the particle to the boundary. Numerical examples for a viscous fluid circular cylindrical cross-section are considered, and computations illustrate the analysis with particular emphasis on varying the size of the particle, the angle of incidence and the particle-wall distance. The results find potential applications in the quantitative predictions of the acoustical cross-sections from fluid/soft/compressible objects nearby a boundary, such as contrast agents in biomedicine, oceanography, sonochemistry, marine science, and (borehole) geophysical applications to name a few examples.

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Multiple scattering between a cylinder and a plane

Cited by 23 publications

References 0 publications

On the vibro-acoustic response of a cylindrical shell submerged near a free sea surface

On the vibro-acoustic response of a cylindrical shell submerged near a free sea surface

Acoustic radiation force on a cylindrical particle near a planar rigid boundary

Extrinsic and intrinsic acoustical cross-sections for a viscous fluid particle near a planar rigid boundary: circular cylinder example

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