Provides a theory of linear eigenwaves of regular closed inhomogeneous, generally anisotropic, waveguides, and investigates the basic properties of the corresponding guided waves. Topics include the properties, spectrum, and dispersion theory of normal waves of regular waveguides associated with quadratic operator pencils; particular regular waveguides; and complex conjugation of elements and operators of an abstract Hilbert space. Unique in its coverage of these subjects, this distant descendant of a 1983 Russian publication should be of interest to engineers, applied mathematicians and physicists familiar with the elements of functional analysis and spectral theory. Annotation c. by Book News, Inc., Portland, Or.
Spectral Theory of Guided Waves represents a distillation of the authors' (and others) efforts over several years to rigorously discuss many of the properties of guided waves. The bulk of the book deals with the properties of eigenwaves of regular waveguiding systems and relates these to a variety of physical situations and applications to illustrate their generality. The book also includes considerable discussion of the basic properties of normal waves with quadratic operator pencils. Unique in its coverage of these subjects, the book will be of interest to engineers, applied mathematicians, and physicists with a working knowledge of functional analysis and spectral theory.