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 proceedingChapterScientificpeer-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 languageEnglish
Title of host publicationRogue and shock waves in nonlinear dispersive media
EditorsMiguel Onorato, Stefania Resitori, Fabio Baronio
Pages1-22
Number of pages22
Volume926
ISBN (Electronic)978-3-319-39214-1
DOIs
Publication statusPublished - 2016
MoE publication typeA3 Part of a book or another research book

Publication series

NameLecture Notes in Physics
Volume926
ISSN (Print)00758450

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