Bounds on the Elements of the Equivalent Network for Scattering in Waveguides

Larry Spruch, Ralph Bartram

ISBN 10: 0243107889 / ISBN 13: 9780243107889

Editore: Forgotten Books, 2019

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Print on Demand. This book takes a deep dive into the use of variational techniques in scattering problems, introducing rigorous bounds on the error terms and, hence, on the phase shift. The author, an acknowledged expert in the field, begins by explaining the basic principles involved before moving on to discuss the application of these ideas to specific problems. The book is well-written and comprehensive, providing a valuable resource for anyone working in this area. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Codice articolo 9780243107889_0

Dati bibliografici

• Titolo: Bounds on the Elements of the Equivalent Network for Scattering in Waveguides
• Editore: Forgotten Books
• Data di pubblicazione: 2019
• Lingua: Inglese
• ISBN 10: 0243107889
• ISBN 13: 9780243107889
• Rilegatura: Paperback
• Condizione: New
• Tipo di libro: print-on-demand item
• Cataloghi dei venditori:
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Descrizione articolo

Riassunto

Excerpt from Bounds on the Elements of the Equivalent Network for Scattering in Waveguides, Vol. 1: Theory

Now a rather general approach has been devised by T. Kato for obtaining bounds on cot (n where n is the phase shift for a given angular momentum in a quantum mechanical central potential scattering problem and O is a parameter chosen for convenience. This method should be applicable to any problem which can be analysed in terms of uncoupled standing waves each of which can be characterized by one real phase shift. It is the purpose of this paper to adapt the Kato formalism to scattering by obstacles in wave guides, including the truly three dimensional problem. The problems to be considered, for reasons which will be discussed later, are subject to the following restrictions (1) The waveguide is uniform in the asymptotic region. (2) Only the dominant mode propagates, with exceptions which will be mentioned later. (5) The obstacle is symmetrical about a plane perpendicular to the axis of the waveguide. (a) The waveguide and obstacle are lossless.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.