Preprint Review Version 1 This version is not peer-reviewed

# Theoretical Study of Memristor and \\ Time Reversal based\\ Nonlinear Elastic Wave Spectroscopy

Version 1 : Received: 29 December 2018 / Approved: 31 December 2018 / Online: 31 December 2018 (11:16:18 CET)

How to cite: Furui, S.; Dos Santos, S. Theoretical Study of Memristor and \\ Time Reversal based\\ Nonlinear Elastic Wave Spectroscopy. Preprints 2018, 2018120370 (doi: 10.20944/preprints201812.0370.v1). Furui, S.; Dos Santos, S. Theoretical Study of Memristor and \\ Time Reversal based\\ Nonlinear Elastic Wave Spectroscopy. Preprints 2018, 2018120370 (doi: 10.20944/preprints201812.0370.v1).

## Abstract

Principle of memristor presented by Leon Chua and time reversal based non-linear elastic wave spectroscopy (TR-NEWS) which can be applied to acoustic tomography are reviewed. Correlation of acoustic or electromagnetic nonlinear waves and its time reversed wave can produce strong signal. Materials like transducer or biological skin can be assumed to be composed of a large number of small elastic unit: hysteretic elementary unit (HEU), and one can take a HEU as a memristor whose operation depends on time. Relation between TR-NEWS and solitonic wave in fluid, and relation between decomposition of time reversal operator (DORT) and chaotic oscillation are discussed.

## Subject Areas

Memristor, TR-NEWS, HEU, DORT

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