Multiline singularities applied to low‐frequency scattering by a prolate spheroid

Multiline singularities applied to low‐frequency scattering by a prolate spheroid Building on the Rayleigh‐Stevenson approach fictitious internal source distributions responsible for the leading near‐field contribution of the long wavelength scattering by a non‐dissipative dielectric prolate spheroid are derived. The equivalent multiline sources arising from every polarization of the incoming field on the segment between the foci can be regarded as the result of an ultimate contraction of the volume polarization in the spheroid, or plainly as prolonged multipoles. In the low‐frequency asymptotic solution of the first‐order in terms of ३ the solutions involve line and strip currents, and biline and quadriline charges, the density distributions of which obey simple polynomial laws. Numerical examples are provided, demonstrating their significance in the calculation of near‐zone fields in comparison with the direct radiation of elementary sets of point sources approximating the multiline distributions. The range of validity of the low‐frequency expansion is estimated by comparing with results obtained using the T‐matrix method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering Emerald Publishing

Multiline singularities applied to low‐frequency scattering by a prolate spheroid

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Publisher
Emerald Publishing
Copyright
Copyright © 1997 MCB UP Ltd. All rights reserved.
ISSN
0332-1649
DOI
10.1108/03321649710172789
Publisher site
See Article on Publisher Site

Abstract

Building on the Rayleigh‐Stevenson approach fictitious internal source distributions responsible for the leading near‐field contribution of the long wavelength scattering by a non‐dissipative dielectric prolate spheroid are derived. The equivalent multiline sources arising from every polarization of the incoming field on the segment between the foci can be regarded as the result of an ultimate contraction of the volume polarization in the spheroid, or plainly as prolonged multipoles. In the low‐frequency asymptotic solution of the first‐order in terms of ३ the solutions involve line and strip currents, and biline and quadriline charges, the density distributions of which obey simple polynomial laws. Numerical examples are provided, demonstrating their significance in the calculation of near‐zone fields in comparison with the direct radiation of elementary sets of point sources approximating the multiline distributions. The range of validity of the low‐frequency expansion is estimated by comparing with results obtained using the T‐matrix method.

Journal

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic EngineeringEmerald Publishing

Published: Jun 1, 1997

Keywords: Electrical engineering; Mathematics; Methods; Theory

References

  • Solution of electromagnetic scattering problems as power series in the ratio (dimension of scatterer)/wavelength
    Stevenson, A.F.
  • Electromagnetic scattering by an ellipsoid in the third approximation
    Stevenson, A.F.

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