Radiation forces and torque on a rigid elliptical cylinder in acoustical plane progressive and (quasi)standing waves with arbitrary incidence

Mitri, F.G.

doi:10.1063/1.4959071

Cited by 45 publications

(20 citation statements)

References 73 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where n and A θ are, respectively, the normal vector and the surface-shape function of the object of arbitrary geometry. Similar boundary conditions were previously used for the case of a rigid (sound-impenetrable) elliptical cylindrical particle in quasi-Gaussian cylindrically-focused beams [39] and plane waves [38,40,42,43]. Moreover, at the planar rigid boundary where r=r′ and θ′=(π −θ), the Neumann boundary condition (used previously for a rigid sphere near a rigid flat surface [46]) still holds, such that, r t r t n n , , , , 0.…”

Section: Multiple Scattering Formalismmentioning

confidence: 87%

See 1 more Smart Citation

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

Mitri

2018

J. Phys. Commun.

View full text Add to dashboard Cite

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.

show abstract

Section: Multiple Scattering Formalismmentioning

confidence: 87%

“…Similar expressions using the mathematical basis of cylindrical wave functions were previously utilized in elastic wave [34][35][36] and acoustic scattering [37][38][39][40] based on the formalism of the T-matrix [41]. (Related discussions can be also found in [39,40,[42][43][44][45]).…”

Section: Multiple Scattering Formalismmentioning

confidence: 95%

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

Mitri

2018

J. Phys. Commun.

View full text Add to dashboard Cite

show abstract

“…When the cylinder geometrical cross-section deviates from the circular shape, the method has been proven useful to determine the internal and external EM fields for irregularly shaped particles in laser-particle interactions [5]. Moreover, other investigations related to the acoustical scattering, radiation force and torque on elliptical particles [6][7][8][9][10] were developed. Nonetheless, in certain cases, multiple particles are subjected to an incident illuminating field such that interparticle forces causing optical binding effects can arise, which do not exist in the single object case.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic binding and radiation force reversal on a pair of electrically conducting cylinders of arbitrary geometrical cross-section with smooth and corrugated surfaces

Mitri¹

2018

OSA Continuum

Self Cite

View full text Add to dashboard Cite

The electromagnetic (EM) radiation force-per-length exerted on a pair of electrically-conducting cylindrical particles of circular and non-circular cross-sections is examined using a formal semi-analytical method based on boundary matching in cylindrical coordinates. Initially, the scattering coefficients of the particle pair are determined by imposing suitable boundary conditions leading linear systems of equations computed via matrix inversion and numerical integration procedures. Standard cylindrical (Bessel and Hankel) wave functions are used and closed-form expressions for the dimensionless longitudinal and transverse radiation force functions are evaluated assuming either magnetic (TE) or electric (TM) plane wave incidences. Particle pairs with smooth and corrugated surfaces are considered and numerical computations are performed with emphasis on the distance separating their centers of mass, the angle of incidence of the incident illuminating field and the surface roughness. Adequate convergence plots confirm the validity of the method to evaluate the radiation force functions, and the model is adaptable to any frequency range (i.e. Rayleigh, Mie or geometrical optics regimes). The results can find potential applications in optical tweezers and other related applications in fluid dynamics. In addition, the acoustical analogue is discussed.

show abstract

“…Similar PWSEs using the mathematical basis of cylindrical wave functions have been used previously in elastic wave [35][36][37] and acoustic scattering [38][39][40][41][42] based on the Tmatrix formalism [43] for objects such as squares, ellipses and other complex shapes. (See also the related discussions in [11,29,30,41,42,44,45]. )…”

Section: Introductionmentioning

confidence: 99%

“…are the total and internal velocity potentials, respectively, and ρ and ρ f are the mass densities of the host fluid medium and fluid particle, respectively. The parameters n and A θ are the normal vector and the surface shape function of the particle of arbitrary geometry [41,42,44,45], respectively.…”

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.

View full text Add to dashboard Cite

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.

show abstract

Radiation forces and torque on a rigid elliptical cylinder in acoustical plane progressive and (quasi)standing waves with arbitrary incidence

Cited by 45 publications

References 73 publications

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

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

Electromagnetic binding and radiation force reversal on a pair of electrically conducting cylinders of arbitrary geometrical cross-section with smooth and corrugated surfaces

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

Contact Info

Product

Resources

About