Hydrodynamic and optical waves: A common approach for unidimensional propagation

Miguel Onorato; Fabio Baronio; Matteo Conforti; Amin Chabchoub; Pierre Suret; Stephane Randoux

doi:10.1007/978-3-319-39214-1_1

Hydrodynamic and optical waves: A common approach for unidimensional propagation

Miguel Onorato^*, Fabio Baronio, Matteo Conforti, Amin Chabchoub, Pierre Suret, Stephane Randoux

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Scientific › peer-review

1 Citation (Scopus)

Abstract

The aim of this chapter is to build a bridge between water and optical waves. After a brief introduction on the role played by the so-called normal variable in the D’Alembert equation and a short description of the Hamiltonian formulation of water waves, we introduce a similar formalism for describing optical waves. We restrict our analysis to one-dimensional propagation. Under a number of assumptions, we rewrite the Maxwell equations in a very general form that account for three- and four-wave interactions. Those equations are very similar to the one describing water waves. Analogies and differences between hydrodynamic and optical waves are also discussed.

Original language	English
Title of host publication	Rogue and shock waves in nonlinear dispersive media
Editors	Miguel Onorato, Stefania Resitori, Fabio Baronio
Pages	1-22
Number of pages	22
Volume	926
ISBN (Electronic)	978-3-319-39214-1
DOIs	https://doi.org/10.1007/978-3-319-39214-1_1
Publication status	Published - 2016
MoE publication type	A3 Part of a book or another research book

Publication series

Name	Lecture Notes in Physics
Volume	926
ISSN (Print)	00758450

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10.1007/978-3-319-39214-1_1

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Onorato, M., Baronio, F., Conforti, M., Chabchoub, A., Suret, P., & Randoux, S. (2016). Hydrodynamic and optical waves: A common approach for unidimensional propagation. In M. Onorato, S. Resitori, & F. Baronio (Eds.), Rogue and shock waves in nonlinear dispersive media (Vol. 926, pp. 1-22). (Lecture Notes in Physics; Vol. 926). https://doi.org/10.1007/978-3-319-39214-1_1

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author = "Miguel Onorato and Fabio Baronio and Matteo Conforti and Amin Chabchoub and Pierre Suret and Stephane Randoux",

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Hydrodynamic and optical waves : A common approach for unidimensional propagation. / Onorato, Miguel; Baronio, Fabio; Conforti, Matteo; Chabchoub, Amin; Suret, Pierre; Randoux, Stephane.

Rogue and shock waves in nonlinear dispersive media. ed. / Miguel Onorato; Stefania Resitori; Fabio Baronio. Vol. 926 2016. p. 1-22 (Lecture Notes in Physics; Vol. 926).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Scientific › peer-review

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AU - Randoux, Stephane

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A2 - Resitori, Stefania

A2 - Baronio, Fabio

ER -

Hydrodynamic and optical waves: A common approach for unidimensional propagation

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