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

Johan Sten

Research output: Contribution to journalArticleScientificpeer-review

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 ω 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.

Original languageEnglish
Pages (from-to)92 - 107
Number of pages16
JournalCOMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
Volume16
Issue number2
DOIs
Publication statusPublished - 1997
MoE publication typeA1 Journal article-refereed

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Low Frequency
Scattering
Singularity
Polarization
Asymptotics of Solutions
Polynomials
Point Source
Near-field
Radiation
Wavelength
Set of points
Strip
Contraction
Charge
Internal
Numerical Examples
Polynomial
Line
Range of data

Cite this

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title = "Multiline singularities applied to low-frequency scattering by a prolate spheroid",
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 ω 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.",
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Multiline singularities applied to low-frequency scattering by a prolate spheroid. / Sten, Johan.

In: COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 16, No. 2, 1997, p. 92 - 107.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Multiline singularities applied to low-frequency scattering by a prolate spheroid

AU - Sten, Johan

PY - 1997

Y1 - 1997

N2 - 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 ω 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.

AB - 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 ω 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.

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JO - COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

JF - COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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