Phase-Plane Analysis of Solutions of the Helmholtz Equation for Electromagnetic Waves in Media with Self-Action

Autor:	V. A. Vardanyan, Hovik V. Baghdasaryan, A.V. Daryan
Rok vydání:	2020
Předmět:	Physics symbols.namesake Nonlinear system Phase portrait Helmholtz equation Plane (geometry) Helmholtz free energy Mathematical analysis symbols General Physics and Astronomy Harmonic (mathematics) Phase plane Electromagnetic radiation
Zdroj:	Journal of Contemporary Physics (Armenian Academy of Sciences). 55:299-305
ISSN:	1934-9378 1068-3372
DOI:	10.3103/s1068337220040052
Popis:	We describe the application of the phase plane method to analyze the behavior of stationary harmonic plane electromagnetic waves. The phase plane method allows one to describe qualitatively all possible solutions of the Helmholtz nonlinear differential equation without performing a numerical integration. All types of phase portraits for waves in the media with self-action are presented and their physical interpretation is discussed. The consideration is carried out on the model of cubic nonlinearity without specifying the physical mechanism of this nonlinearity. The features of the nonlinear case are discussed. The phenomenon of the self-limitation of the transmitted wave power in a medium with negative nonlinearity is described.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4d9998f080214b0b9a42d307ed4e3c48 https://doi.org/10.3103/s1068337220040052 Zobrazit plný text záznamu Full text from SpringerLink