Shannon Entropy as Characterization Tool in Acoustics

TL;DR

This paper applies Shannon's information entropy to analyze avoided crossings in ultrasonic superlattices, providing insights into localization and informational exchange of acoustic states during the Zener-like effect.

Contribution

It introduces Shannon entropy as a novel tool to characterize acoustic phenomena in superlattices, linking information theory with physical localization effects.

Findings

Shannon entropy accurately characterizes localization effects.

Entropy reveals informational exchange during avoided crossings.

Results confirm the entropy's effectiveness in ultrasonic structures.

Abstract

We introduce Shannon's information entropy to characterize the avoided crossing appearing in the resonant Zener-like phenomenon in ultrasonic superlattices made of two different fluidlike meta- materials. We show that Shannon's entropy gives a correct physical insight of the localization effects taking place and manifest the informational exchange of the involved acoustic states in the narrow region of parameters where the avoided crossing occurs. Results for ultrasonic structures consisting of alternating layers of methyl-metacrylate and water cavities, in which the acoustic Zener effect were recently demonstrated, are also reported.