Reflexion and Diffraction of Internal Waves analyzed with the Hilbert Transform

TL;DR

This paper uses the Hilbert transform to analyze internal wave phenomena like dissipation, diffraction, and reflection in two-dimensional fluids, providing a new method for distinguishing wave directions.

Contribution

The study introduces the application of the Hilbert transform to internal wave physics, enabling better discrimination of wave directions and analysis of wave phenomena.

Findings

Effective demodulation of internal waves using Hilbert transform

Enhanced understanding of wave diffraction and reflection

Ability to distinguish wave propagation directions

Abstract

We apply the Hilbert transform to the physics of internal waves in two-dimensional fluids. Using this demodulation technique, we can discriminate internal waves propagating in different directions: this is very helpful in answering several fundamental questions in the context of internal waves. We focus more precisely in this paper on phenomena associated with dissipation, diffraction and reflection of internal waves.