Acoustic scattering by a penetrable spheroid

Kotsis, Aristides D.; Roumeliotis, John A.

doi:10.1134/s1063771008020036

Cited by 19 publications

(13 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, there are more papers about the approximate solution based on the discussions before [6]. Otherwise, two different methods for a plane acoustic wave from a penetrable prolate or oblate spheroid are used for the evaluation [7]. In addition, Edmundo Lavia et al derived a computational method to calculate the exact solution for liquid spheroid which agrees with reported predicted results obtained through approximated solution for far-field and near-field regimes [8].…”

Section: Introductionsupporting

confidence: 74%

Axisymmetric scattering of a fluid spheroid illuminated by an acoustical Bessel beam

Wang¹,

Li²

2017

Vib. proced.

View full text Add to dashboard Cite

Abstract. Depending on the partial wave series expression, the scattering of a fluid spheroid illuminated by a zeroth-order Bessel beam is calculated in the spherical coordinate. For a fluid spheroid, the scattering is associated with the host medium, and the immersed spheroid medium. Although spherical and cylinder fluid objects has been discussed a lot before, a prolate and oblate fluid spheroid has not been investigated deeply. In the paper, two limited boundary conditions (Neumann and Dirichlet) are presented and discussed about far-field scattering form functions. By comparing these two limited conditions, the analysis could be applied into underwater detection and acoustic tweezers, or other fields. For other fluid materials, this method could also be utilized to calculate and analyze.

show abstract

Section: Introductionsupporting

confidence: 74%

Axisymmetric scattering of a fluid spheroid illuminated by an acoustical Bessel beam

Wang¹,

Li²

2017

Vib. proced.

View full text Add to dashboard Cite

show abstract

“…The spheroidal coordinate system describes accurately several geometrical configurations lacking symmetry in 1 Cartesian direction. Thus, it can model much better than the spherical geometry, a large variety of inclusions or inhomogeneities participating in scattering processes . A lot of effort has been devoted to study the direct scattering problem by obstacles and especially from spheroids both theoretically and numerically.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, it can model much better than the spherical geometry, a large variety of inclusions or inhomogeneities participating in scattering processes. [1][2][3][4][5] A lot of effort has been devoted to study the direct scattering problem by obstacles [6][7][8][9][10][11][12][13] and especially from spheroids both theoretically and numerically. The adopted methodology in each case depends crucially on the frequency (wavenumber) range under consideration.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of the acoustic scattering problem from penetrable prolate spheroidal structures using the Vekua transformation and arbitrary precision arithmetic

Gergidis

Kourounis

Mavratzas³

et al. 2018

Math Methods in App Sciences

View full text Add to dashboard Cite

A complete set of radiating “outwards” eigensolutions of the Helmholtz equation, obtained by transforming appropriately through the Vekua mapping the kernel of Laplace equation, is applied to the investigation of the acoustic scattering by penetrable prolate spheroidal scatterers. The scattered field is expanded in terms of the aforementioned set, detouring so the standard spheroidal wave functions along with their inherent numerical deficiencies. The coefficients of the expansion are provided by the solution of linear systems, the conditioning of which calls for arbitrary precision arithmetic. Its integration enables the polyparametric investigation of the convergence of the current approach to the solution of the direct scattering problem. Finally, far‐field pattern visualization in the 3D space clarifies the preferred scattering directions for several frequencies of the incident wave, ranging from the “low” to the “resonance” region.

show abstract

“…For example, the scattering of the sound field by hard or soft, prolate or oblate spheroids are considered in [1][2][3][4][5][6][7]. The results of the scattering of sound permeable and elastic spheroids are studied in the works [8][9][10][11][12]. Analytical description of the acoustic field scattered by inhomogeneous elastic spheroid is obtained in [13].…”

Section: Introductionmentioning

confidence: 99%

The scattering of the sound field by thin unclosed spherical shell and ellipsoid

2016

View full text Add to dashboard Cite

In this paper the result of solution of the axisymmetric problem of the scattering of sound field by unclosed spherical shell and a soft prolate ellipsoid of rotation is presented. Spherical radiator is located in a thin unclosed spherical shell as the source of acoustic field. The equation of the spheroidal boundary is given in spherical coordinates. Scattered pressure field is expressed in terms of spherical wave functions. Using corresponding theorems of addition and assuming small eccentricity of ellipse, the solution of boundary value problem is reduced to solving dual equations with Legendre's polynomials, which are converted to infinite system of linear algebraic equations of the second kind with completely continuous operator. Numerical results are given for various values of the parameters of the problem.

show abstract

Acoustic scattering by a penetrable spheroid

Cited by 19 publications

References 25 publications

Axisymmetric scattering of a fluid spheroid illuminated by an acoustical Bessel beam

Axisymmetric scattering of a fluid spheroid illuminated by an acoustical Bessel beam

Numerical investigation of the acoustic scattering problem from penetrable prolate spheroidal structures using the Vekua transformation and arbitrary precision arithmetic

The scattering of the sound field by thin unclosed spherical shell and ellipsoid

Contact Info

Product

Resources

About