Interaction of an acoustical 2D-beam with an elastic cylinder with arbitrary location in a non-viscous fluid

Mitri, F.G.

doi:10.1016/j.ultras.2015.05.024

Cited by 25 publications

(10 citation statements)

References 46 publications

(30 reference statements)

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“…(24) and (26) indicate that   TM,TE p Y is  0. Equivalent expressions in the acoustical context for circular cylinders have been previously obtained as well [24,44,45].…”

Section: Integral Expressions For the Longitudinal Radiation Force (Imentioning

confidence: 99%

Optical radiation force (per–length) on an electrically conducting elliptical cylinder having a smooth or ribbed surface

Mitri¹

2019

OSA Continuum

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The aim of this work is to develop a formal semi-analytical model using the modal expansion method in cylindrical coordinates to calculate the optical/electromagnetic (EM) radiation force-per-length experienced by an infinitely long electrically-conducting elliptical cylinder having a smooth or wavy/corrugated surface in EM plane progressive waves with different polarizations. In this analysis, one of the semi-axes of the elliptical cylinder coincides with the direction of the incident field. Initially, the modal matching method is used to determine the scattering coefficients by imposing appropriate boundary conditions and solving numerically a linear system of equations by matrix inversion. In this method, standard cylindrical (Bessel and Hankel) wave functions are used. Subsequently, simplified expressions leading to exact series expansions for the optical/EM radiation forces assuming either electric (TM) of magnetic (TE) plane wave incidences are provided without any approximations, in addition to integral equations demonstrating the direct relationship of the radiation force with the square of the scattered field magnitude. An important application of these integral equations concerns the accurate determination of the radiation force from the measurement of the scattered field by any 2D non-absorptive object of arbitrary shape in plane waves. Numerical computations for the non-dimensional radiation force function are performed for electrically conducting elliptic and circular cylinders having a smooth or ribbed/corrugated surface. Adequate convergence plots confirm the validity and correctness of the method to evaluate the radiation force with no limitation to a particular frequency range (i.e. Rayleigh, Mie or geometrical optics regimes). Particular emphases are given on the aspect ratio, the non-dimensional size of the cylinder, the corrugation characteristic of its surface, and the polarization of the incident field. The results are particularly relevant in optical tweezers and other related applications in fluid dynamics, where the shape and stability of a cylindrical drop stressed by a uniform external electric/magnetic field are altered. Furthermore, a direct analogy with the acoustical counterpart is noted and discussed.

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“…(24) and (26) indicate that   TM,TE p Y is  0. Equivalent expressions in the acoustical context for circular cylinders have been previously obtained as well [24,44,45].…”

Section: Integral Expressions For the Longitudinal Radiation Force (Imentioning

confidence: 99%

Optical radiation force (per–length) on an electrically conducting elliptical cylinder having a smooth or ribbed surface

Mitri¹

2019

OSA Continuum

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“…Note that evaluation of the BSCs as given by Eq. (4) requires numerical integration 21 for a given incident pressure field P inc (r, θ, z).…”

Section: Generalized Theory Of Resonance Scattering For a Cylindementioning

confidence: 99%

Resonance scattering and radiation force calculations for an elastic cylinder using the translational addition theorem for cylindrical wave functions

Mitri

2015

AIP Advances

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The standard Resonance Scattering Theory (RST) of plane waves is extended for the case of any two-dimensional (2D) arbitrarily-shaped monochromatic beam incident upon an elastic cylinder with arbitrary location using an exact methodology based on Graf's translational addition theorem for the cylindrical wave functions. The analysis is exact as it does not require numerical integration procedures. The formulation is valid for any cylinder of finite size and material that is immersed in a nonviscous fluid. Partial-wave series expansions (PWSEs) for the incident, internal and scattered linear pressure fields are derived, and the analysis is further extended to obtain generalized expressions for the on-axis and off-axis acoustic radiation force components. The wave-fields are expressed using generalized PWSEs involving the beam-shape coefficients (BSCs) and the scattering coefficients of the cylinder. The off-axial BSCs are expressed analytically in terms of an infinite PWSE with emphasis on the translational offset distance d. Numerical computations are considered for a zeroth-order quasi-Gaussian beam chosen as an example to illustrate the analysis. Acoustic resonance scattering directivity diagrams are calculated by subtracting an appropriate background from the expression of the scattered pressure field. In addition, computations for the radiation force exerted on an elastic cylinder centered on the axis of wave propagation of the beam, and shifted off-axially are analyzed and discussed. C 2015 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License.

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“…Several investigations were previously developed for a cylindrical particle in an unbounded fluid [5][6][7][8][9][10][11][12][13][14] , where some recent analyses (not limited to a particular range of frequencies) considered the elliptical geometry [15][16][17][18] . Nonetheless, those formalisms cannot be applied to a cylindrical particle nearby a boundary, and it is important to develop an improved methodology taking the multiple reflections/scattering effects between the wall and the particle into account.…”

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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Interaction of an acoustical 2D-beam with an elastic cylinder with arbitrary location in a non-viscous fluid

Cited by 25 publications

References 46 publications

Optical radiation force (per–length) on an electrically conducting elliptical cylinder having a smooth or ribbed surface

Optical radiation force (per–length) on an electrically conducting elliptical cylinder having a smooth or ribbed surface

Resonance scattering and radiation force calculations for an elastic cylinder using the translational addition theorem for cylindrical wave functions

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

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