Wave localization as a manifestation of ray chaos in underwater acoustics

TL;DR

This paper investigates wave localization in underwater acoustics through the lens of ray chaos, demonstrating how wave behavior relates to chaotic ray dynamics in a corrugated wave-guide.

Contribution

It introduces an analytical approach linking wave localization length to chaotic ray dynamics in a periodically corrugated wave-guide.

Findings

Wave localization length is analytically estimated.

The number of eigenmodes relates to the width of localized wave packets.

Wave chaos manifests in underwater acoustic wave propagation.

Abstract

Wave chaos is demonstrated by studying a wave propagation in a periodically corrugated wave-guide. In the limit of a short wave approximation (SWA) the underlying description is related to the chaotic ray dynamics. In this case the control parameter of the problem is characterized by the corrugation amplitude and the SWA parameter. The considered model is fairly suitable and tractable for the analytical analysis of a wave localization length. The number of eigenmodes characterized the width of the localized wave packet is estimated analytically.