Abstract

Abstract It is shown by experiment and theory that finite fine-scale internal wave packets in a continuous stratification can be amplified by the passage through them of a longer wave of higher frequency. In general the process is a detuned resonant interaction, but the finiteness of the packet provides sidebands which allow enhancement of those components of the packet lying most closely to exact second-order triad resonance with the forcing wave. The amplitude of the forcing wave required for amplification of the packet against viscous dissipation is therefore that appropriate to the nearest resonant mode, and may be significantly less than that for a monochromatic mode with the same central wavenumber. The tendency in an evolving internal wave field is for the packets to develop as beams extending along the characteristic directions of free wave modes.

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