A. S Silbergleit, Y. Kopilevich

Spectral Theory of Guided Waves (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 310
• Erscheinungstermin: 2. August 2021
• Englisch
• ISBN-13: 9781000445275
• Artikelnr.: 62362822

Autorenporträt

A.S Silbergleit (Author) , Y Kopilevich (Vavilov Optical State Institute, St Petersburg, Russia) (Author)

Inhaltsangabe

Preface. Introduction. General linear waveguiding systems. Basic properties
of normal waves of regular waveguides associated with quadratic operator
pencils. Spectrum of normal waves of regular waveguides associated with
quadratic operator pencils. Behaviour of eigenwaves of regular waveguides
associated with quadratic operator pencils under variation of their
frequency or wavenumber. Dispersion theory for regular waveguides
associated with quadratic operator pencils. Further dispersion properties
of regular waveguides associated with quadratic operator pencils. Regular
inhomogeneous anisotropic elastic waveguides: an implementation of the
abstract theory. Various particular regular waveguides. Appendices. A:
Complex conjugation of elements and operators of an abstract Hilbert space.
B: Some functional spaces. Korn inequalities for domains ^D*W and C^D[h.
References. Index.