Array scattering resonance in the context of Foldy’s approximation



Nethercote, MA, Kisil, AV, Thompson, I ORCID: 0000-0001-5537-450X and Assier, RC
(2022) Array scattering resonance in the context of Foldy’s approximation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478 (2268). 20220604-.

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Abstract

<jats:p>This article provides an overview of resonance phenomena in wave scattering by infinite and semi-infinite periodic arrays of small cylindrical scatterers, in the context of Foldy’s approximation. It briefly summarizes well-known results from the literature. Moreover, for infinite arrays, the asymptotics of the resonant wave amplitudes in the double resonance case is investigated. This leads to the rediscovery of non-uniqueness of the solution in this context, and to a discussion of the validity of Foldy’s approximation for double resonance. For semi-infinite arrays, a new and improved uniform far-field approximation is derived, uniqueness issues are considered and the validity of Foldy’s approximation is discussed.</jats:p>

Item Type: Article
Uncontrolled Keywords: multiple scattering, resonance, infinite arrays, semi-infinite arrays
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 27 Feb 2023 09:56
Last Modified: 17 Mar 2024 16:04
DOI: 10.1098/rspa.2022.0604
Open Access URL: https://doi.org/10.1098/rspa.2022.0604
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3168606