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| Author | : Dat Duc Bui |
| Publisher | : |
| Total Pages | : 214 |
| Release | : 1993 |
| Genre | : Electromagnetic waves |
| ISBN | : |
| Author | : David Colton |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 316 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 3662028352 |
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.
| Author | : |
| Publisher | : |
| Total Pages | : 305 |
| Release | : 1971 |
| Genre | : Electromagnetic waves |
| ISBN | : 9780387555188 |
| Author | : Claude Bourrely |
| Publisher | : World Scientific |
| Total Pages | : 374 |
| Release | : 1989-03-01 |
| Genre | : |
| ISBN | : 981461887X |
Contents:Light Scattering Problems in Astrophysics (J M Perrin)Surface Integral Operators and their Use in Acoustics and Electromagnetics (A Berthon)Acoustic Diffraction by Slender Bodies of Arbitrary Shape (M Tran-Van-Nhieu)High and Low Energy Approximations for the Electromagnetic Scattering by Irregular Objects (B Torresani)Electromagnetic Scattering and Mutual Interactions Between Closely Spaced Spheroids (J Dalmas & R Deleuil)Acoustical Imaging of 2D Fluid Targets Buried in a Half Space: A Diffraction Tomography Approach Using Line-Sources Insonification (B Duchene et al)Contribution of Radar Polarimetry in Radar Target Discrimination. The “Poincaré Planisphere”: a New Representation Method (E Pottier)Electromagnetic and Acoustic Waves in Random Media: from Propagation to Anderson Localization (B Souillard)Weak Disorder: Homogeneisation Method and Propagation (C Bardos)Coherent Propagation of Surface Acoustic Waves in Quasi-Periodic and Random Arrays of Grooves (D Sornette et al)On Asymptotic Behaviour of Waves States in Random Media (F Bentosela & R Rodriguez)A Study of Acoustic Transmission of Transient Signal in a Inhomogeneous Medium with the Help of a Wavelet Transform. Application to an Air-Water Plane Interface (G Saracco & Ph Tchamitchian)Three-Dimensional Impedance Scattering Theory (P Sabatier)Survey of Optimization Algorithms Applied to Inverse Problems (A Roger)A Linearized Inverse Problem: Acoustic Impedance Tomography of Biological Media (J P Lefebvre)and others Readership: Electrical engineers and mathematicians.
| Author | : A H Serbest |
| Publisher | : CRC Press |
| Total Pages | : 292 |
| Release | : 1996-11-29 |
| Genre | : Science |
| ISBN | : 9780582299641 |
Provides a review of developments in the fields of direct and inverse electromagnetic wave scattering. Contributions from leading researchers in these fields from all over the world are gathered in this book to discuss the state of the topic and directions for future research, starting from the fundamental structure of wave scattering problems and finishing with an assessment of the impact of this structure in applications
| Author | : Fioralba Cakoni |
| Publisher | : SIAM |
| Total Pages | : 147 |
| Release | : 2011-01-01 |
| Genre | : Mathematics |
| ISBN | : 0898719402 |
The linear sampling method is the oldest and most developed of the qualitative methods in inverse scattering theory. It is based on solving a linear integral equation and then using the equation's solution as an indicator function for the determination of the support of the scattering object. This book describes the linear sampling method for a variety of electromagnetic scattering problems. It presents uniqueness theorems and the derivation of various inequalities on the material properties of the scattering object from a knowledge of the far field pattern of the scattered wave.
| Author | : Peijun Li |
| Publisher | : |
| Total Pages | : 206 |
| Release | : 2005 |
| Genre | : Continuation methods |
| ISBN | : |
| Author | : James P. Corones |
| Publisher | : SIAM |
| Total Pages | : 276 |
| Release | : 1992-01-01 |
| Genre | : Science |
| ISBN | : 9780898713053 |
This volume on invariant imbedding and inverse problems is based on a conference held in Alberquerque, New Mexico, in April 1990.
| Author | : Soon K. Cho |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 405 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461390648 |
0.1 Introduction The present volume is about the physics of electromagnetic scattering, not mathematics, and is intended as a reference book for engineering and physics students as well as researchers in electromagnetic scattering. Although the subject is on electromagnetic scattering, acoustic or scalar scattering will be discussed occasionally when it is deemed helpful and advantageous. In the current decade we are witnessing an emergence of inverse scattering theory. Before we embark on this exciting journey, perhaps this is an appropriate time to summarize and assess in one volume some of the important re sults of electromagnetic scattering which have been found in recent decades. Since the end of WW II two significant physical phenomena in electromag netic scattering, optimal polarization and exterior resonant frequencies, have been discovered and a powerful mathematical technique, called the integral equation method, has been incorporated. These physical quantities, which characterize the scattered field for a given scatterer, are not directly observ able but can only be extracted by mathematical means from the measured scattering data. They are given special attention.
| Author | : Piergiorgio Uslenghi |
| Publisher | : Elsevier |
| Total Pages | : 812 |
| Release | : 2012-12-02 |
| Genre | : Science |
| ISBN | : 0323142435 |
Electromagnetic Scattering is a collection of studies that aims to discuss methods, state of the art, applications, and future research in electromagnetic scattering. The book covers topics related to the subject, which includes low-frequency electromagnetic scattering; the uniform asymptomatic theory of electromagnetic edge diffraction; analyses of problems involving high frequency diffraction and imperfect half planes; and multiple scattering of waves by periodic and random distribution. Also covered in this book are topics such as theories of scattering from wire grid and mesh structures; the electromagnetic inverse problem; computational methods for transmission of waves; and developments in the use of complex singularities in the electromagnetic theory. Engineers and physicists who are interested in the study, developments, and applications of electromagnetic scattering will find the text informative and helpful.
