Scattering Of Acoustic And Electromagnetic Waves By Obstacles
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Inverse Acoustic and Electromagnetic Scattering Theory
| 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.
Inverse Acoustic and Electromagnetic Scattering Theory
| Author | : David Colton |
| Publisher | : Springer Nature |
| Total Pages | : 518 |
| Release | : 2019-11-06 |
| Genre | : Mathematics |
| ISBN | : 3030303519 |
The inverse scattering problem is central to many areas of science and technology such as radar, sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this fourth edition, a number of significant additions have been made including a new chapter on transmission eigenvalues and a new section on the impedance boundary condition where particular attention has been made to the generalized impedance boundary condition and to nonlocal impedance boundary conditions. Brief discussions on the generalized linear sampling method, the method of recursive linearization, anisotropic media and the use of target signatures in inverse scattering theory have also been added.
Electromagnetic And Acoustic Scattering: Detection And Inverse Problems - Proceedings Of The Conference
| 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.
Acoustic and Electromagnetic Scattering Analysis Using Discrete Sources
| Author | : Adrian Doicu |
| Publisher | : Academic Press |
| Total Pages | : 344 |
| Release | : 2000-07-06 |
| Genre | : Mathematics |
| ISBN | : |
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
Handbook of Radiation and Scattering of Waves
| Author | : Adrianus T. de Hoop |
| Publisher | : |
| Total Pages | : 1085 |
| Release | : 1995-01-01 |
| Genre | : Acoustic surface waves |
| ISBN | : 9780122086557 |
Handbook of Radiation and Scattering of Waves is a self-contained, medium-level handbook on the time-domain and complex frequency domain radiation and scattering of elastic waves in solids, electromagnetic waves and acoustic waves in fluids. The emphasis is placed on reciprocity as a basic concept for developing the methodology of handling forward (direct) and inverse sources and scattering problems. Using international nomenclature, the text presents a consistent use of the subscript notation for vectors and tensors enabling an effortless transcription of the mathematical expressions into statements in any high-level programming language (i.e., FORTRAN 77 or FORTRAN 90) or in symbolic manipulation programs such as Mathematica (r). Carefully selected exercises, with answers, are provided at the end of each section. This handbook assumes the reader has a knowledge of elementary mechanics and differential calculus, as well as a grasp of Laplace and Fourier transformation methods. Displays a consistent use of vectors and tensors Covers time domain analysis Covers fundamentals of elastic wave motion in solids Explains derivation of the basic equations of elastodynamics Develops time-domain methods side-by-side with complex frequency domain methods Facilitates easy transcription of mathematical expressions into statements in any high-level programming language such as FORTRAN 77 or FORTRAN 99, or in symbolic manipulation programs like Mathematica(r) through consistent use of subscript notation for vectors and tensors
Electromagnetic and Acoustic Scattering by Simple Shapes
| Author | : J. S. Asvestas |
| Publisher | : |
| Total Pages | : 756 |
| Release | : 1970 |
| Genre | : Electromagnetic waves |
| ISBN | : |
The book represents an exhaustive study of the scattering properties of acoustically soft and hard bodies and of perfect conductors, presented for 15 geometrically-simple shapes. Such shapes are important in their own right and as a basis for synthesizing the radiation and scattering properties of more complex configurations. Each shape is treated in a separate chapter whose contents are presented in stylized format for easy reference. Emphasis is placed on results in the form of formulae and diagrams. Although no detailed derivation are included, an outline of methods in scattering theory is given in the Introduction. (Author).
Inverse Acoustic and Electromagnetic Scattering Theory
| Author | : |
| Publisher | : |
| Total Pages | : 305 |
| Release | : 1971 |
| Genre | : Electromagnetic waves |
| ISBN | : 9780387555188 |
Electromagnetic and Acoustic Scattering by Simple Shapes
| Author | : J. S. Asvestas |
| Publisher | : |
| Total Pages | : 756 |
| Release | : 1970 |
| Genre | : Electromagnetic waves |
| ISBN | : |
The book represents an exhaustive study of the scattering properties of acoustically soft and hard bodies and of perfect conductors, presented for 15 geometrically-simple shapes. Such shapes are important in their own right and as a basis for synthesizing the radiation and scattering properties of more complex configurations. Each shape is treated in a separate chapter whose contents are presented in stylized format for easy reference. Emphasis is placed on results in the form of formulae and diagrams. Although no detailed derivation are included, an outline of methods in scattering theory is given in the Introduction. (Author).
Inverse Acoustic and Electromagnetic Scattering Theory
| Author | : Springer |
| Publisher | : |
| Total Pages | : 420 |
| Release | : 2012-10-27 |
| Genre | : |
| ISBN | : 9781461449430 |
