Open AccessLove‐wave excitation due to the interaction between a propagating ocean wave and the sea‐bottom topography
Author(s) -
Saito Tatsuhiko
Publication year - 2010
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.2010.04695.x
Subject(s) - wind wave , wavelength , surface wave , wavenumber , excitation , seamount , geology , rayleigh wave , wave propagation , physics , geophysics , optics , oceanography , quantum mechanics
SUMMARY This study formulates Love‐wave excitation in terms of the interaction between a propagating ocean wave and the sea‐bottom topography. By assuming a Fraunhofer diffraction range, or far‐field approximation, I theoretically derive an equivalent point force for the Love‐wave excitation. The equivalent point force acts in the same direction as the propagation direction of the ocean wave. The excited Love wave has a radiation pattern characterized by sin θ, where θ is the angle between the propagation directions of the Love and ocean waves. The efficiency of the excitation is then investigated by employing both deterministic and stochastic models for sea‐bottom topography. When a seamount given by a Gaussian function is used as a deterministic model, the equivalent point force has a narrow peak against the wavenumber of the ocean wave; a strong interaction occurs at λ= 2.2 d , where λ is the ocean‐wave wavelength and d is the characteristic scale of the seamount. On the other hand, when randomly fluctuating sea‐bottom topography characterized by a power‐law spectrum is used, the interaction can occur over a wide range of the ocean wave wavelength.