Localization of gravity waves on a random floor: weak and strong disorder analysis
Comision Nacional de Energía Atómica, Centro Atómico Bariloche and Instituto Balseiro, Universidad Nacional de Cuyo, Av. E. Bustillo 9500, CP 8400, Bariloche, Argentina
2 CONICET, Centro Atómico Bariloche, Av. E. Bustillo 9500, CP 8400, Bariloche, Argentina
Accepted: 16 December 2021
Published online: 25 January 2022
In the absence of any forcing and rotational effects, the 1D linearized Boussinesq’s equation for the evolution of a surface gravity wave propagating in a random bottom has been studied. The time-dependent evolution of plane-wave-like modes of gravity waves in the presence of weak disorder and for Fourier number outside the localized gap are shown to be well approximated by monochromatic telegrapher’s waves. For strong disorder the one-to-one correspondence for any Fourier number has been revisited (Cáceres in AIP Adv 11:045218, 2021).
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2022