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El. knyga: Spectral Theory of Guided Waves

(Vavilov Optical State Institute, St Petersburg, Russia),
  • Formatas: 310 pages
  • Išleidimo metai: 02-Aug-2021
  • Leidėjas: Institute of Physics Publishing
  • ISBN-13: 9781000448009
  • Formatas: 310 pages
  • Išleidimo metai: 02-Aug-2021
  • Leidėjas: Institute of Physics Publishing
  • ISBN-13: 9781000448009

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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.

Recenzijos

"The book represents an important contribution to the modern mathematical theory of waves. It is of great interest for both mathematicians and specialists in applications." -Mathematical Reviews

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