Array scattering resonance in the context of Foldy's approximation
Array scattering resonance in the context of Foldy's approximation
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Foldy 近似下的阵列散射共振
DOI：
10.1098/rspa.2022.0604
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Nethercote M
中科院分区：
文献类型：
--
作者：
Nethercote M
本文概述了在Foldy近似的背景下，小圆柱散射体的无限和半无限周期阵列在波散射中的共振现象。它简要地总结了文献中众所周知的结果。此外，对于无限阵列，研究了双共振情况下谐振波幅值的渐近性。这导致了在这种情况下解的非唯一性的重新发现，并讨论了双共振的Foldy近似的有效性。对于半无限阵列，导出了一种新的改进的均匀远场近似，考虑了唯一性问题，并讨论了Foldy近似的有效性。
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.