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Wave Scattering Theory: A Series Approach Based on the Fourier Transformation

Hyo Eom

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ISBN 10: 364263995X / ISBN 13: 9783642639951
Published by Springer
New Condition: New Soft cover
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244 pages. Dimensions: 6.1in. x 5.8in. x 0.1in.The technique of fourier transform has been widely used in the area of electrical engineering, which covers signal processing, communication, system control, electromagnetics and optics. Since a Fourier-transform representation can adequately describe the behavior of electromagnetic wave propagation and scattering, it has been long applied to solve the wave equation dealing with the boundary-value-problems. This book deals with the boundary-value-problems of certain canonical scattering geometries where the technique of separation of variables is applicable. Fourier transform in conjunction with the mode-matching technique yields a simple, analytic, and rapidly-convergent series solution. The purpose of this book is to present such analytic series solutions to the canonical poblems which have been worked out by the author in the last 10 years. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Bookseller Inventory # 9783642639951

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Bibliographic Details

Title: Wave Scattering Theory: A Series Approach ...

Publisher: Springer

Binding: Paperback

Book Condition:New

Book Type: Paperback

About this title


The Fourier transform technique has been widely used in electrical engineer­ ing, which covers signal processing, communication, system control, electro­ magnetics, and optics. The Fourier transform-technique is particularly useful in electromagnetics and optics since it provides a convenient mathematical representation for wave scattering, diffraction, and propagation. Thus the Fourier transform technique has been long applied to the wave scattering problems that are often encountered in microwave antenna, radiation, diffrac­ tion, and electromagnetic interference. In order to u~derstand wave scattering in general, it is necessary to solve the wave equation subject to the prescribed boundary conditions. The purpose of this monograph is to present rigorous so­ lutions to the boundary-value problems by solving the wave equation based on the Fourier transform. In this monograph the technique of separation of vari­ ables is used to solve the wave equation for canonical scattering geometries such as conducting waveguide structures and rectangular/circular apertures. The Fourier transform, mode-matching, and residue calculus techniques are applied to obtain simple, analytic, and rapidly-convergent series solutions. The residue calculus technique is particularly instrumental in converting the solutions into series representations that are efficient and amenable to nu­ merical analysis. We next summarize the steps of analysis method for the scattering problems considered in this book. 1. Divide the scattering domain into closed and open regions. 2. Represent the scattered fields in the closed and open regions in terms of the Fourier series and transform, respectively. 3.

From the Back Cover:

The book provides a unified technique of Fourier transform to solve the wave scattering, diffraction, penetration, and radiation problems where the technique of separation of variables is applicable. The book discusses wave scattering from waveguide discontinuities, various apertures, and coupling structures, often encountered in electromagnetic, electrostatic, magnetostatic, and acoustic problems. A system of simultaneous equations for the modal coefficients is formulated and the rapidly-convergent series solutions amenable to numerical computation are presented. The series solutions find practical applications in the design of microwave/acoustic transmission lines, waveguide filters, antennas, and electromagnetic interference/compatibilty-related problems.

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