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Acoustic scattering by an impenetrable spheroid (EN)

Kolezas, G (EN)
Roumeliotis, JA (EN)
Kotsis, AD (EN)

journalArticle (EN)

2014-03-01T01:25:52Z
2007 (EN)


The scattering of a plane acoustic wave from an impenetrable, soft or hard, prolate or oblate spheroid is considered. Two different methods are used for the evaluation. In the first, the pressure field is expressed in terms of spheroidal wave functions. In the second, a shape perturbation method, the field is expressed in terms of spherical wave functions only, while the equation of the spheroidal boundary is given in spherical coordinates. Analytical expressions are obtained for the scattered pressure field and the various scattering cross-sections, when the solution is specialized to small values of the eccentricity h = d/(2a) [Figure not available: see fulltext.], where d is the interfocal distance of the spheroid and 2a is the length of its rotation axis. In this case, exact, closed-form expressions are obtained for the expansion coefficients g (2) and g (4) in the relation S(h) = S(0)[1 + g (2) h 2 + g (4) h 4 + O(h 6)] expressing the scattered field and the scattering cross-sections. Numerical results are given for various values of the parameters. © 2007 Pleiades Publishing, Ltd. (EN)

Acoustics (EN)

Acoustic Waves (EN)
Acoustic wave scattering (EN)
Numerical methods (EN)
Boundary conditions (EN)
Scattered pressure fields (EN)
Spheroidal boundary (EN)
Spheroidal wave functions (EN)
Perturbation techniques (EN)
Perturbation Method (EN)
Acoustic Scattering (EN)
Wave functions (EN)
Shape perturbation method (EN)
Cross Section (EN)

Acoustical Physics (EN)

English

MAIK NAUKA/INTERPERIODICA/SPRINGER (EN)




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