Spectral theory and excitation of open structures

Bibliographic Information

Spectral theory and excitation of open structures

Victor P. Shestopalov and Youri V. Shestopalov

(IEE electromagnetic waves series, 42)

Institution of Electrical Engineers, c1996

Available at  / 4 libraries

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Note

Bibliography: p. 369-391

Includes index

Description and Table of Contents

Description

Open resonators, open waveguides and open diffraction gratings are used extensively in modern millimetre and submillimetre technology, spectroscopy and radio engineering. The physical principles of open electrodynamic structures are different from those of closed ones because of radiation loss, edges, multiconnected cross-sections and the need to take into account the behaviour of electromagnetic fields at infinity. The eigenoscillation and eigenwave spectra become complex, there are additional demands on the energy relations and the statements of spectral problems change. In this book the physical processes in open electrodynamic structures are analysed using a specially constructed spectral theory. The basic concept is that physical processes are observed at real frequencies, and continuation to the complex domain is considered as a mathematical method. The data obtained at complex frequencies give essential information about 'real' solutions at real frequencies. The approach developed allows not only the egular but a variety of anomalous dispersion laws and effects to be investigated. Written by two authorities in the field of mathematical modelling, the book should be of interest to all scientists and engineers concerned with modern methods of analytical solution of electromagnetic problems in open domains, as well as those studying theoretical electromagnetics.

Table of Contents

Part 1: Foundations of spectral theory Chapter 1: Spectral theory and excitation of open resonators Chapter 2: Excitation of oscillations: physical properties of openresonators Chapter 3: Eigenwaves in open waveguides Part 2: Eigenoscillations and excitation of open waveguide resonators Chapter 4: Qualitative spectra characteristics of open waveguideresonators and the local expansion theorems Chapter 5: Solution of spectral problems for open waveguideresonators Chapter 6: Free oscillations and resonance excitation of openwaveguide resonators Part 3: Spectral theory and excitation of diffraction gratings Chapter 7: Diffraction by gratings in the complex frequencydomain Chapter 8: Stationary resonance wave scattering by gratings Chapter 9: Local excitation of diffraction gratings Chapter 10: Intertype oscillations and waves of gratings and theMorse critical points

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