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

Access to Document

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

Link to publication in Scopus

Fingerprint Dive into the research topics of 'Hydrodynamic and optical waves: A common approach for unidimensional propagation'. Together they form a unique fingerprint.

Cite this

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

@inbook{33ca279039ee4b0c88c8a3e77a4f7963,

title = "Hydrodynamic and optical waves: A common approach for unidimensional propagation",

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{\textquoteright}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.",

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

year = "2016",

doi = "10.1007/978-3-319-39214-1_1",

language = "English",

isbn = "978-3-319-39212-7",

volume = "926",

series = "Lecture Notes in Physics",

pages = "1--22",

editor = "Miguel Onorato and Stefania Resitori and Fabio Baronio",

booktitle = "Rogue and shock waves in nonlinear dispersive media",

}

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

TY - CHAP

T1 - Hydrodynamic and optical waves

T2 - A common approach for unidimensional propagation

AU - Onorato, Miguel

AU - Baronio, Fabio

AU - Conforti, Matteo

AU - Chabchoub, Amin

AU - Suret, Pierre

AU - Randoux, Stephane

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84988584624&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-39214-1_1

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

M3 - Chapter

AN - SCOPUS:84988584624

SN - 978-3-319-39212-7

VL - 926

T3 - Lecture Notes in Physics

SP - 1

EP - 22

BT - Rogue and shock waves in nonlinear dispersive media

A2 - Onorato, Miguel

A2 - Resitori, Stefania

A2 - Baronio, Fabio

ER -