The Low-Frequency Scalar Dirichlet Scattering by a General Ellipsoid
- 1 September 1967
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 3 (3) , 291-312
- https://doi.org/10.1093/imamat/3.3.291
Abstract
The problem of scalar Dirichlet scattering of a plane wave by a general ellipsoid is discussed. An iterative scheme is given whereby the low frequency expansion of the scattered field may be readily obtained. Series expansions are obtained for the far-field amplitude up to and including the second order in the frequency and the first two terms of the scattering cross-section are also derived. The results are seen to compare with those known for a prolate spheroid. Corresponding formulae for the elliptic discappear as a special case.Keywords
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