Multiple Scattering in One Dimension (Classic Reprint)
Language: English
Published by Forgotten Books, 2016
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 18.01
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book is a rigorous mathematical treatment of the scattering of radiation by a finite collection of elementary scatterers. It provides a justification for two formal procedures now in wide use for treating such problems. The scattering elements are assumed to be identical non-dissipative point scatterers which are completely characterized by an impedance function and which are microscopic in the sense that the ratio of the scatterer impedance to the free space wave impedance is much less, in absolute value, than unity. The author begins by formulating both the single configuration problem and the corresponding statistical problem. The solutions of these problems are approximated by solutions of related continuum problems and general estimates are given for the errors of approximation. By expressing these errors solely in terms of the basic parameters, he establishes sufficient conditions which ensure that the errors are small. Certain natural sufficient conditions are given which ensure a close approximation to the continuum problems, and estimates of the error of approximation are developed. These conditions and estimates are expressed solely in terms of the basic physical parameters of the scattering process. For example, the author shows that, in the special case in which the scatterers are distributed uniformly, the continuum solution approaches the exact solution as the number of scatterers approaches infinity. 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.…
Seller Inventory # 9781333001728_0
- Title
- Multiple Scattering in One Dimension (Classic Reprint)
- Author
- Jack Bazer
- Publisher
- Forgotten Books
- Publication year
- 2016
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 133300172X
- ISBN 13
- 9781333001728
- Seller catalogs
- Calculus
Explore how one-dimensional wave scattering is analyzed, with clear results you can trust for both single and random configurations.
This edition explains when simple models match complex behavior.
The book offers a rigorous treatment of one-dimensional scattering problems, showing how a discrete distribution of scatterers can be well approximated by a continuous distribution. It covers both fixed configurations and ensembles where scatterer positions are random, with conditions that depend only on basic problem parameters such as the number of scatterers, the wavelength, and the impedance ratio. The discussion connects theory to practical setups like transmission lines and mechanical strings, illustrating how artificial dielectrics can arise from many small elements.
You'll learn how to assess approximation accuracy, understand when averaging over configurations matters, and see how classical procedures are justified in this one-dimensional setting. The material emphasizes practical implications and avoids overreliance on explicit solutions, making it useful for applied work in optics, acoustics, and electrical engineering.
- How a discrete scatterer model can be matched to a continuum description
- Conditions that ensure small error in approximate solutions
- Connections between single configuration problems and statistical (random) cases
- Applications to transmission lines and one-dimensional wave guides
Ideal for readers of applied physics and engineering who want solid foundations and practical guidance on wave scattering in one dimension.
"Synopsis" may belong to another edition of this title.
Forgotten Books
London, United Kingdom
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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