Inverse Acoustic and Electromagnetic Scattering Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662028352
Total Pages : 316 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Inverse Acoustic and Electromagnetic Scattering Theory by : David Colton

Download or read book Inverse Acoustic and Electromagnetic Scattering Theory written by David Colton and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has now been almost ten years since our first book on scattering theory ap peared [32]. At that time we claimed that "in recent years the development of integral equation methods for the direct scattering problem seems to be nearing completion, whereas the use of such an approach to study the inverse scattering problem has progressed to an extent that a 'state of the art' survey appears highly desirable". Since we wrote these words, the inverse scattering problem for acoustic and electromagnetic waves has grown from being a few theoreti cal considerations with limited numerical implementations to a weH developed mathematical theory with tested numerical algorithms. This maturing of the field of inverse scattering theory has been based on the realization that such problems are in general not only nonlinear but also improperly posed in the sense that the solution does not depend continuously on the measured data. This was emphasized in [32] and treated with the ideas and tools available at that time. Now, almost ten years later, these initial ideas have developed to the extent that a monograph summarizing the mathematical basis of the field seems appropriate. This book is oUf attempt to write such a monograph. The inverse scattering problem for acoustic and electromagnetic waves can broadly be divided into two classes, the inverse obstacle problem and the inverse medium problem.

Acoustic and Electromagnetic Scattering Analysis Using Discrete Sources

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Publisher : Academic Press
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Acoustic and Electromagnetic Scattering Analysis Using Discrete Sources by : Adrian Doicu

Download or read book Acoustic and Electromagnetic Scattering Analysis Using Discrete Sources written by Adrian Doicu and published by Academic Press. This book was released on 2000-07-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discrete sources method is an efficient and powerful tool for solving a large class of boundary-value problems in scattering theory. A variety of numerical methods for discrete sources now exist. In this book, the authors unify these formulations in the context of the so-called discrete sources method. Comprehensive presentation of the discrete sources method Original theory - an extension of the conventional null-field method using discrete sources Practical examples that demonstrate the efficiency and flexibility of elaborated methods (scattering by particles with high aspect ratio, rough particles, nonaxisymmetric particles, multiple scattering) List of discrete sources programmes available via the Internet

Low Frequency Scattering

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Publisher : Oxford University Press
ISBN 13 : 9780198536789
Total Pages : 322 pages
Book Rating : 4.5/5 (367 download)

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Book Synopsis Low Frequency Scattering by : George Dassios

Download or read book Low Frequency Scattering written by George Dassios and published by Oxford University Press. This book was released on 2000 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering theory deals with the interactions of waves with obstacles in their path, and low frequency scattering occurs when the obstacles involved are very small. This book gives an overview of the subject for graduates and researchers, for the first time unifying the theories covering acoustic, electromagnetic and elastic waves.

Scattering of Electromagnetic Waves

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Publisher : John Wiley & Sons
ISBN 13 : 0471464236
Total Pages : 441 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Scattering of Electromagnetic Waves by : Leung Tsang

Download or read book Scattering of Electromagnetic Waves written by Leung Tsang and published by John Wiley & Sons. This book was released on 2004-04-07 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: A timely and authoritative guide to the state of the art of wave scattering Scattering of Electromagnetic Waves offers in three volumes a complete and up-to-date treatment of wave scattering by random discrete scatterers and rough surfaces. Written by leading scientists who have made important contributions to wave scattering over three decades, this new work explains the principles, methods, and applications of this rapidly expanding, interdisciplinary field. It covers both introductory and advanced material and provides students and researchers in remote sensing as well as imaging, optics, and electromagnetic theory with a one-stop reference to a wealth of current research results. Plus, Scattering of Electromagnetic Waves contains detailed discussions of both analytical and numerical methods, including cutting-edge techniques for the recovery of earth/land parametric information. The three volumes are entitled respectively Theories and Applications, Numerical Simulation, and Advanced Topics. In the first volume, Theories and Applications, Leung Tsang (University of Washington) Jin Au Kong (MIT), and Kung-Hau Ding (Air Force Research Lab) cover: * Basic theory of electromagnetic scattering * Fundamentals of random scattering * Characteristics of discrete scatterers and rough surfaces * Scattering and emission by layered media * Single scattering and applications * Radiative transfer theory and solution techniques * One-dimensional random rough surface scattering

Fundamentals and Applications of Acoustic Metamaterials

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Publisher : John Wiley & Sons
ISBN 13 : 1119649161
Total Pages : 326 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Fundamentals and Applications of Acoustic Metamaterials by : Vicente Romero-Garcia

Download or read book Fundamentals and Applications of Acoustic Metamaterials written by Vicente Romero-Garcia and published by John Wiley & Sons. This book was released on 2019-08-08 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few decades, metamaterials have revolutionized the ways in which waves are controlled, and applied in physics and practical situations. The extraordinary properties of metamaterials, such as their locally resonant structure with deep subwavelength band gaps and their ranges of frequency where propagation is impossible, have opened the way to a host of applications that were previously unavailable. Acoustic metamaterials have been able to replace traditional treatments in several sectors, due to their better performance in targeted and tunable frequency ranges with strongly reduced dimensions. This is a training book composed of nine chapters written by experts in the field, giving a broad overview of acoustic metamaterials and their uses. The book is divided into three parts, covering the state-of-the-art, the fundamentals and the real-life applications of acoustic metamaterials.

Inverse Acoustic and Electromagnetic Scattering Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662035375
Total Pages : 347 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Inverse Acoustic and Electromagnetic Scattering Theory by : David Colton

Download or read book Inverse Acoustic and Electromagnetic Scattering Theory written by David Colton and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. The second edition includes material on Newton’s method for the inverse obstacle problem, an elegant proof of uniqueness for the inverse medium problem, a discussion of the spectral theory of the far field operator and a method for determining the support of an inhomogeneous medium from far field data.

Wave Scattering by Small Bodies of Arbitrary Shapes

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Publisher : World Scientific
ISBN 13 : 9812561862
Total Pages : 314 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Wave Scattering by Small Bodies of Arbitrary Shapes by : Alexander G. Ramm

Download or read book Wave Scattering by Small Bodies of Arbitrary Shapes written by Alexander G. Ramm and published by World Scientific. This book was released on 2005 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents analytical formulas which allow one to calculate the S-matrix for the acoustic and electromagnetic wave scattering by small bodies or arbitrary shapes with arbitrary accuracy. Equations for the self-consistent field in media consisting of many small bodies are derived. Applications of these results to ultrasound mammography and electrical engineering are considered.The above formulas are not available in the works of other authors. Their derivation is based on a mathematical theory for solving integral equations of electrostatics, magnetostatics, and other static fields. These equations are at a simple characteristic value. Convergent iterative processes are constructed for stable solution of these equations. The theory completes the classical work of Rayleigh on scattering by small bodies by providing analytical formulas for polarizability tensors for bodies of arbitrary shapes.

Integral Equation Methods in Scattering Theory

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Publisher : SIAM
ISBN 13 : 1611973155
Total Pages : 286 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Integral Equation Methods in Scattering Theory by : David Colton

Download or read book Integral Equation Methods in Scattering Theory written by David Colton and published by SIAM. This book was released on 2013-11-15 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book provides a rigorous treatment of the Riesz?Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.

Inverse Problems of Acoustic and Elastic Waves

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Publisher : SIAM
ISBN 13 : 9780898710502
Total Pages : 384 pages
Book Rating : 4.7/5 (15 download)

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Book Synopsis Inverse Problems of Acoustic and Elastic Waves by : Fadil Santosa

Download or read book Inverse Problems of Acoustic and Elastic Waves written by Fadil Santosa and published by SIAM. This book was released on 1984-01-01 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: A Survey of the Vocal Tract Inverse Problem: Theory, Computations and Experiments; Convergence of Discrete Inversion Solutions; Inversion of Band Limited Reflection Seismograms; Some Recent Results in Inverse Scattering Theory; Well-Posed Questions and Exploration of the Space of Parameters in Linear and Nonlinear Inversion; The Seismic Reflection Inverse Problem; Migration Methods: Partial but Efficient Solutions to the Seismic Inverse Problem; Relationship Between Linearized Inverse Scattering and Seismic Migration; Project Review on Geophysical and Ocean Sound Speed Profile Inversion; Acoustic Tomography; Inverse Problems of Acoustic and Elastic Waves; Finite Element Methods with Anisotropic Diffusion for Singularly Perturbed Convection Diffusion Problems; Adaptive Grid Methods for Hyperbolic Partial Differential Equations; Some Simple Stability Results for Inverse Scattering Problems; Inverse Scattering for Stratified, Isotropic Elastic Media Using the Trace Method; A Layer-Stripping Solution of the Inverse Problem for a One-Dimensional Elastic Medium; On Constructing Solutions to an Inverse Euler-Bernoulli Beam Problem; Far Field Patterns in Acoustic and Electromagnetic Scattering Theory; Renaissance Inversion; On the Equilibrium Equations of Poroelasticity; GPST-A Versatile Numerical Method for Solving Inverse Problems of Partial Differential Equations; and Applications of Seismic Ray-Tracing Techniques to the Study of Earthquake Focal Regions.

Multiple Scattering

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Publisher : Cambridge University Press
ISBN 13 : 0521865549
Total Pages : 13 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Multiple Scattering by : P. A. Martin

Download or read book Multiple Scattering written by P. A. Martin and published by Cambridge University Press. This book was released on 2006-08-03 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description

Encyclopedia of Remote Sensing

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Publisher :
ISBN 13 : 9781785396229
Total Pages : pages
Book Rating : 4.3/5 (962 download)

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Book Synopsis Encyclopedia of Remote Sensing by : Eni Njoku

Download or read book Encyclopedia of Remote Sensing written by Eni Njoku and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This first encyclopaedic reference on remote sensing describes the concepts, techniques, instrumentation, data analysis, interpretation, and applications of remote sensing, both airborne and space-based. Scientists, engineers, academics, and students can quickly access answers to their reference questions and direction for further study.

Canonical Problems in Scattering and Potential Theory Part 1

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Publisher : CRC Press
ISBN 13 : 0849387078
Total Pages : 393 pages
Book Rating : 4.8/5 (493 download)

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Book Synopsis Canonical Problems in Scattering and Potential Theory Part 1 by : S.S. Vinogradov

Download or read book Canonical Problems in Scattering and Potential Theory Part 1 written by S.S. Vinogradov and published by CRC Press. This book was released on 2001-05-30 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical scatterers

Inverse Problems in Wave Propagation

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Publisher : Springer Science & Business Media
ISBN 13 : 1461218780
Total Pages : 502 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Inverse Problems in Wave Propagation by : Guy Chavent

Download or read book Inverse Problems in Wave Propagation written by Guy Chavent and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems in wave propagation occur in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic non-destructive testing, biomedical ultrasonics, radar, astrophysics, as well as other areas of science and technology. The papers in this volume cover these scientific and technical topics, together with fundamental mathematical investigations of the relation between waves and scatterers.

Scattering, Two-Volume Set

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Publisher : Academic Press
ISBN 13 : 0126137609
Total Pages : 985 pages
Book Rating : 4.1/5 (261 download)

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Book Synopsis Scattering, Two-Volume Set by : E. R. Pike

Download or read book Scattering, Two-Volume Set written by E. R. Pike and published by Academic Press. This book was released on 2002 with total page 985 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part 1: SCATTERING OF WAVES BY MACROSCOPIC TARGET -- Interdisciplinary aspects of wave scattering -- Acoustic scattering -- Acoustic scattering: approximate methods -- Electromagnetic wave scattering: theory -- Electromagnetic wave scattering: approximate and numerical methods -- Electromagnetic wave scattering: applications -- Elastodynamic wave scattering: theory -- Elastodynamic wave scattering: Applications -- Scattering in Oceans -- Part 2: SCATTERING IN MICROSCOPIC PHYSICS AND CHEMICAL PHYSICS -- Introduction to direct potential scattering -- Introduction to Inverse Potential Scattering -- Visible and Near-visible Light Scattering -- Practical Aspects of Visible and Near-visible Light Scattering -- Nonlinear Light Scattering -- Atomic and Molecular Scattering: Introduction to Scattering in Chemical -- X-ray Scattering -- Neutron Scattering -- Electron Diffraction and Scattering -- Part 3: SCATTERING IN NUCLEAR PHYSICS -- Nuclear Physics -- Part 4: PARTICLE SCATTERING -- State of the Art of Peturbative Methods -- Scattering Through Electro-weak Interactions (the Fermi Scale) -- Scattering Through Strong Interactions (the Hadronic or QCD Scale) -- Part 5: SCATTERING AT EXTREME PHYSICAL SCALES -- Scattering at Extreme Physical Scales -- Part 6: SCATTERING IN MATHEMATICS AND NON-PHYSICAL SCIENCES -- Relations with Other Mathematical Theories -- Inverse Scattering Transform and Non-linear Partial Differenttial Equations -- Scattering of Mathematical Objects.

Scattering Theory for Diffraction Gratings

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Publisher : Springer Science & Business Media
ISBN 13 : 1461211301
Total Pages : 172 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Scattering Theory for Diffraction Gratings by : Calvin H. Wilcox

Download or read book Scattering Theory for Diffraction Gratings written by Calvin H. Wilcox and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scattering of acoustic and electromagnetic waves by periodic sur faces plays a role in many areas of applied physics and engineering. Opti cal diffraction gratings date from the nineteenth century and are still widely used by spectroscopists. More recently, diffraction gratings have been used as coupling devices for optical waveguides. Trains of surface waves on the oceans are natural diffraction gratings which influence the scattering of electromagnetic waves and underwater sound. Similarly, the surface of a crystal acts as a diffraction grating for the scattering of atomic beams. This list of natural and artificial diffraction gratings could easily be extended. The purpose of this monograph is to develop from first principles a theory of the scattering of acoustic and electromagnetic waves by periodic surfaces. In physical terms, the scattering of both time-harmonic and transient fields is analyzed. The corresponding mathematical model leads to the study of boundary value problems for the Helmholtz and d'Alembert wave equations in plane domains bounded by periodic curves. In the formal ism adopted here these problems are intimately related to the spectral analysis of the Laplace operator, acting in a Hilbert space of functions defined in the domain adjacent to the grating.

Theory of Wave Scattering From Random Rough Surfaces,

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Publisher : CRC Press
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Theory of Wave Scattering From Random Rough Surfaces, by : J. A. Ogilvy

Download or read book Theory of Wave Scattering From Random Rough Surfaces, written by J. A. Ogilvy and published by CRC Press. This book was released on 1991 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Scattering and Localization of Classical Waves in Random Media

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Publisher : World Scientific
ISBN 13 : 9789971505394
Total Pages : 660 pages
Book Rating : 4.5/5 (53 download)

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Book Synopsis Scattering and Localization of Classical Waves in Random Media by : Ping Sheng

Download or read book Scattering and Localization of Classical Waves in Random Media written by Ping Sheng and published by World Scientific. This book was released on 1990 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has witnessed breakthroughs in the understanding of the wave localization phenomena and its implications for wave multiple scattering in inhomogeneous media. This book brings together review articles written by noted researchers in this field in a tutorial manner so as to give the readers a coherent picture of its status. It would be valuable both as an up-to-date reference for active researchers as well as a readable source for students looking to gain an understanding of the latest results.