This book presents the main mathematical methods of description and general problems in the theory of linear waves in dispersive systems and media, including equilibrium and nonequilibrium waves. To show how the general theory can be applied in practice, the authors give a unified description of the waves in all important physical systems which are traditionally studied in the mechanics of continuous media, electrodynamics, plasma physics, electronics and physical kinetics. Consideration is also given to the interaction of waves in coupled systems, the propagation and evolution of localized wave perturbations, and the emission of waves from dispersive media under the action of external sources moving in a prescribed manner. A general theory of instabilities of linear systems is given, in which the criteria for absolute and convective instabilities are formulated and compared, and Green's functions for some nonequilibrium media are calculated. Special attention is paid to problems in the theory of linear electromagnetic waves in plasmas and plasma-like media. The book also contains a number of original results of the present-day wave theory that have thus far been published in scientific journals only. Sample Chapter(s). Introduction (32 KB). Chapter 1: Linear Harmonic Waves in Dispersive Systems. Initial-Value Problem and Problem with an External Source (183 KB). Contents: Linear Harmonic Waves in Dispersive Systems. Initial-Value Problem and Problem with an External Source; A Case Study of Linear Waves in Dispersive Media; Linear Waves in Coupled Media. Slow Amplitude Method; Nonharmonic Waves in Dispersive Media; Nonharmonic Waves in Nonequilibrium Media; Theory of Instabilities; Hamiltonian Method in the Theory of Electromagnetic Radiation in Dispersive Media. Readership: Graduate students and researchers in applied physics, electrodynamics, computational physics, and solid state physics.Introduction. The monograph presents mathematical methods of description and general physical results in the theory ... In essence, it gives formulations and solutions of problems for nth order linear partial differential equations and also physical interpretations of the solutions and their practical applications. Since the literature (manuals, monographs, reviews, etc.) ... that are traditionally studied in the mechanics of continuous media, electrodynamics, plasma physics, and electronics.

Title | : | Methods of Wave Theory in Dispersive Media |

Author | : | Kuzelev, Mikhail Viktorovich Kuzelev |

Publisher | : | World Scientific - 2009-10-12 |

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