Wave manipulation using a bistable chain with reversible impurities

We systematically study linear and nonlinear wave propagation in a chain composed of piecewise-linear bistable springs. Such bistable systems are ideal testbeds for supporting nonlinear wave dynamical features including transition and (supersonic) solitary waves. We show that bistable chains can sup...

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Bibliographic Details
Published in:arXiv.org 2021-04
Main Authors: Yasuda, Hiromi, Charalampidis, Efstathios G, Purohit, Prashant K, Kevrekidis, Panayotis G, Raney, Jordan R
Format: Article
Language:English
Subjects:
Chains
Dynamic response
Energy distribution
Impurities
Propagation
Solitary waves
Spatial distribution
Wave packets
Wave propagation
Online Access:Get full text
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Summary:We systematically study linear and nonlinear wave propagation in a chain composed of piecewise-linear bistable springs. Such bistable systems are ideal testbeds for supporting nonlinear wave dynamical features including transition and (supersonic) solitary waves. We show that bistable chains can support the propagation of subsonic wavepackets which in turn can be trapped by a low-energy phase to induce energy localization. The spatial distribution of these energy foci strongly affects the propagation of linear waves, typically causing scattering, but, in special cases, leading to a reflectionless mode analogous to the Ramsauer-Townsend (RT) effect. Further, we show that the propagation of nonlinear waves can spontaneously generate or remove additional foci, which act as effective "impurities". This behavior serves as a novel mechanism for reversibly programming the dynamic response of bistable chains.
ISSN:2331-8422
DOI:10.48550/arxiv.2104.15108