Wave Scattering Theory
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Scattering Theory Of Waves And Particles
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Author : R.G. Newton
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Scattering Theory Of Waves And Particles written by R.G. Newton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Science categories.
Much progress has been made in scattering theory since the publication of the first edition of this book fifteen years ago, and it is time to update it. Needless to say, it was impossible to incorporate all areas of new develop ment. Since among the newer books on scattering theory there are three excellent volumes that treat the subject from a much more abstract mathe matical point of view (Lax and Phillips on electromagnetic scattering, Amrein, Jauch and Sinha, and Reed and Simon on quantum scattering), I have refrained from adding material concerning the abundant new mathe matical results on time-dependent formulations of scattering theory. The only exception is Dollard's beautiful "scattering into cones" method that connects the physically intuitive and mathematically clean wave-packet description to experimentally accessible scattering rates in a much more satisfactory manner than the older procedure. Areas that have been substantially augmented are the analysis of the three-dimensional Schrodinger equation for non central potentials (in Chapter 10), the general approach to multiparticle reaction theory (in Chapter 16), the specific treatment of three-particle scattering (in Chapter 17), and inverse scattering (in Chapter 20). The additions to Chapter 16 include an introduction to the two-Hilbert space approach, as well as a derivation of general scattering-rate formulas. Chapter 17 now contains a survey of various approaches to the solution of three-particle problems, as well as a discussion of the Efimov effect.
Theory Of Wave Scattering From Random Rough Surfaces
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Author : J. A. Ogilvy
language : en
Publisher: CRC Press
Release Date : 1991
Theory Of Wave Scattering From Random Rough Surfaces written by J. A. Ogilvy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Art categories.
A review of theories developed for the study of acoustic, elastic and electromagnetic wave scattering from randomly rough surfaces, and a comprehensive summary of the latest techniques. Different theories are illustrated by experimental data.With applications in radar, sonar, ultrasonics and optics this book will be invaluable to graduate students, researchers and engineers.
Wave Scattering Theory
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Author : Hyo J. Eom
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Wave Scattering Theory written by Hyo J. Eom and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Wave Scattering By Time Dependent Perturbations
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Author : G. F. Roach
language : en
Publisher: Princeton University Press
Release Date : 2009-02-09
Wave Scattering By Time Dependent Perturbations written by G. F. Roach and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-09 with Science categories.
This book offers the first comprehensive introduction to wave scattering in nonstationary materials. G. F. Roach's aim is to provide an accessible, self-contained resource for newcomers to this important field of research that has applications across a broad range of areas, including radar, sonar, diagnostics in engineering and manufacturing, geophysical prospecting, and ultrasonic medicine such as sonograms. New methods in recent years have been developed to assess the structure and properties of materials and surfaces. When light, sound, or some other wave energy is directed at the material in question, "imperfections" in the resulting echo can reveal a tremendous amount of valuable diagnostic information. The mathematics behind such analysis is sophisticated and complex. However, while problems involving stationary materials are quite well understood, there is still much to learn about those in which the material is moving or changes over time. These so-called non-autonomous problems are the subject of this fascinating book. Roach develops practical strategies, techniques, and solutions for mathematicians and applied scientists working in or seeking entry into the field of modern scattering theory and its applications. Wave Scattering by Time-Dependent Perturbations is destined to become a classic in this rapidly evolving area of inquiry.
Scattering Theory Of Waves And Particles
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Author : Roger G. Newton
language : en
Publisher:
Release Date : 2014-09-01
Scattering Theory Of Waves And Particles written by Roger G. Newton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Wave Scattering Theory
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Author : Hyo J Eom
language : en
Publisher:
Release Date : 2001-05-22
Wave Scattering Theory written by Hyo J Eom and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-22 with categories.
Scattering And Attenuation Of Seismic Waves Part Ii
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Author : WU
language : en
Publisher: Birkhäuser
Release Date : 2013-11-21
Scattering And Attenuation Of Seismic Waves Part Ii written by WU and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Science categories.
Reprint from Pure and Applied Geophysics (PAGEOPH), Volume 131 (1989), No. 4
Wave Propagation And Scattering In Random Media
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Author : Akira Ishimaru
language : en
Publisher: Elsevier
Release Date : 2013-06-11
Wave Propagation And Scattering In Random Media written by Akira Ishimaru and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-11 with Science categories.
Wave Propagation and Scattering in Random Media, Volume 1: Single Scattering and Transport Theory presents the fundamental formulations of wave propagation and scattering in random media in a unified and systematic manner, as well as useful approximation techniques applicable to a variety of different situations. The emphasis is on single scattering theory and transport theory. The reader is introduced to the fundamental concepts and useful results of the statistical wave propagation theory. This volume is comprised of 13 chapters, organized around three themes: waves in random scatterers, waves in random continua, and rough surface scattering. The first part deals with the scattering and propagation of waves in a tenuous distribution of scatterers, using the single scattering theory and its slight extension to explain the fundamentals of wave fluctuations in random media without undue mathematical complexities. Many practical problems of wave propagation and scattering in the atmosphere, oceans, and other random media are discussed. The second part examines transport theory, also known as the theory of radiative transfer, and includes chapters on wave propagation in random particles, isotropic scattering, and the plane-parallel problem. This monograph is intended for engineers and scientists interested in optical, acoustic, and microwave propagation and scattering in atmospheres, oceans, and biological media.
An Introduction To Echo Analysis
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Author : Gary Roach
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-01-08
An Introduction To Echo Analysis written by Gary Roach and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-08 with Science categories.
This is an introduction to scattering phenomena and a guide to the technical requirements for investigating wave scattering problems. It reviews the principal mathematical topics required for approaching wave propagation and scattering problems, and shows how to develop the required solutions. The emphasis is on concepts and results rather than on the fine detail of proof. Each chapter ends with a bibliography pointing to more detailed proofs.
Wave Scattering In Complex Media From Theory To Applications
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Author : Bart A. van Tiggelen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Wave Scattering In Complex Media From Theory To Applications written by Bart A. van Tiggelen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
A collection of lectures on a variety of modern subjects in wave scattering, including fundamental issues in mesoscopic physics and radiative transfer, recent hot topics such as random lasers, liquid crystals, lefthanded materials and time-reversal, as well as modern applications in imaging and communication. There is a strong emphasis on the interdisciplinary aspects of wave propagation, including light and microwaves, acoustic and elastic waves, propagating in a variety of "complex" materials (liquid crystals, media with gain, natural media, magneto-optical media, photonic and phononic materials, etc.). It addresses many different items in contemporary research: mesoscopic fluctuations, localization, radiative transfer, symmetry aspects, and time-reversal. It also discusses new (potential) applications in telecommunication, soft matter and imaging.