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arXiv · 2201.05295

RayleighBloch waves above the cut-off

Luke G. Bennetts·Malte A. Peter
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Abstract

Extensions of Rayleigh-Bloch waves above the cut-off frequency are studied via the discrete spectrum of a transfer operator for a generalised channel containing a single cylinder. Their wavenumbers are shown to become complex-valued and an additional pair of wavenumbers to appear. For small to intermediate radius values, the extended Rayleigh-Bloch waves are shown connect the Neumann and Dirichlet trapped modes, then embed in the continuous spectrum. Rayleigh-Bloch waves vanish as frequency increases but reappear at high frequencies for small and large cylinders. The existence and properties of the Rayleigh-Bloch waves are connected with finite-array resonances.

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Luke G. Bennetts, Malte A. Peter. 2022-01-14. RayleighBloch waves above the cut-off. https://arxiv.org/abs/2201.05295

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