RayleighBloch waves above the cut-off
Fluid Dynamics
2022-01-17 v1
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.
Cite
@article{arxiv.2201.05295,
title = {RayleighBloch waves above the cut-off},
author = {Luke G. Bennetts and Malte A. Peter},
journal= {arXiv preprint arXiv:2201.05295},
year = {2022}
}
Comments
9 pages, 6 figures