Shannon Entropy as Characterization Tool in Acoustics

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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4 pages, 5 figures. Submitted to Phys. Rev. Lett

Scientific paper

10.1121/1.2933633

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.

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