Wave-Current Interaction as a Spatial Dynamical System: Analogies with Rainbow and Black Hole Physics

Autor:	Pierre Coullet, Jean-Charles Nardin, Germain Rousseaux
Rok vydání:	2009
Předmět:	Physics Gravitation Wavelength Classical mechanics Dynamical systems theory Gravitational wave General Physics and Astronomy Gravity wave Mechanical wave Wave–current interaction Longitudinal wave
Zdroj:	Physical Review Letters. 102
ISSN:	1079-7114 0031-9007
Popis:	We study the hydrodynamic phenomenon of waves blocking by a countercurrent with the tools of dynamical systems theory. We show that, for a uniform background velocity and within the small wavelength approximation, the stopping of gravity waves is described by a stationary saddle-node bifurcation due to the spatial resonance of an incident wave with the converted "blueshifted" wave. We explain why the classical regularization effect of interferences avoids the height singularity in complete analogy with the intensity of light close to the principal arc of a rainbow. The application to the behavior of light near a gravitational horizon is discussed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ffcacd8b6953714ddabe001b6ac033ac https://doi.org/10.1103/physrevlett.102.124504 Zobrazit plný text záznamu