Acoustic scattering by an impenetrable spheroid

Roumeliotis, John A.; Kotsis, Aristides D.; Kolezas, Georgios D.

doi:10.1134/s1063771007040033

Cited by 26 publications

(12 citation statements)

References 24 publications

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“…the formal solution of the PWSE method correlated exactly with those obtained using the shape perturbation method (introduced initially in electromagnetic scattering theory [50,51]) presented in Fig. 9 of [36]. This effective mutual verification of the results with previous data obtained independently by different methods demonstrates the adequate validation of the formal solution using the PSWE method developed here.…”

supporting

confidence: 75%

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Axisymmetric scattering of an acoustical bessel beam by a rigid fixed spheroid

Mitri

2015

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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-Based on the partial-wave series expansion (PWSE) method in spherical coordinates, a formal analytical solution for the acoustic scattering of a zeroth-order Bessel acoustic beam centered on a rigid fixed (oblate or prolate) spheroid is provided. The unknown scattering coefficients of the spheroid are determined by solving a system of linear equations derived for the Neumann boundary condition. Numerical results for the modulus of the backscattered pressure ( = ) in the near-field and the backscattering form function in the far-field for both prolate and oblate spheroids are presented and discussed, with particular emphasis on the aspect ratio (i.e., the ratio of the major axis over the minor axis of the spheroid), the half-cone angle of the Bessel beam , and the dimensionless frequency. The plots display periodic oscillations (versus the dimensionless frequency) due to the interference of specularly reflected waves in the backscattering direction with circumferential Franz' waves circumnavigating the surface of the spheroid in the surrounding fluid. Moreover, the 3D directivity patterns illustrate the nearand far-field axisymmetric scattering. Investigations in underwater acoustics, particle levitation, scattering, and the detection of submerged elongated objects and other related applications utilizing Bessel waves would benefit from the results of the present study.

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confidence: 75%

“…3D-infinite element method based on a prolate spheroidal multipole expansion [35], and the shape perturbation method [36] to name a few, with each of these methods having their own associated advantages, disadvantages, and conditions of applicability [26].…”

mentioning

confidence: 99%

Axisymmetric scattering of an acoustical bessel beam by a rigid fixed spheroid

Mitri

2015

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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“…Our convergence study focuses on the treatment of the boundary conditions satisfaction (12). The convergence of the numerical solution to the solution of the exact scattering problem is guaranteed by the establishment of the convergence of the error related to the boundary condition satisfaction due to the well-posedness of the direct scattering problem.…”

Section: Convergence Analysismentioning

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

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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.

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“…Two different methods are used for the solution. In the first method, the pressure field is expressed in terms of spheroidal wave functions, while in the second method, using a shape perturbation method, the field is expressed in terms of spherical wave functions only and the equation of the spheroidal boundary is given in spherical coordinates [7]. Sheng et al considered that the torpedo shell could be approximated to a closed spherical air cavity and studied the influences on the directivity of vector sensors [8].…”

Section: Introductionmentioning

confidence: 99%

Influences of prolate spheroidal baffle of sound diffraction on spatial directivity of acoustic vector sensor

Liang

Wang

et al. 2010

Sci. China Technol. Sci.

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The directivity of acoustic vector sensor (AVS) will be distorted by the sound diffraction of the AVS carrier. In this paper, the scattering of a plane acoustic wave from a prolate spheroid baffle is considered. At first, the sound diffraction of prolate spheroidal baffle is established, then the mathematical expressions of sound pressure field and particle vibration velocity field of sound diffraction are derived and the characteristic of the directivity of pressure and velocity of sound diffraction field at different frequencies and distances is analyzed. The directivity of AVS is determined by the amplitude and phase difference of diffraction wave and incident wave, which possesses a close relationship with frequency and incident angle. Finally, the calculated results are compared with the experimental results.prolate spheroidal baffle, sound diffraction field, spatial directivity, vector sensor Citation:Ji J F, Liang G L, Wang Y, et al. Influences of prolate spheroidal baffle of sound diffraction on spatial directivity of acoustic vector sensor.

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Acoustic scattering by an impenetrable spheroid

Cited by 26 publications

References 24 publications

Axisymmetric scattering of an acoustical bessel beam by a rigid fixed spheroid

Axisymmetric scattering of an acoustical bessel beam by a rigid fixed spheroid

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

Influences of prolate spheroidal baffle of sound diffraction on spatial directivity of acoustic vector sensor

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