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| Author | : David Colton |
| Publisher | : Springer Nature |
| Total Pages | : 518 |
| Release | : 2019-11-06 |
| Genre | : Mathematics |
| ISBN | : 3030303519 |
Download Inverse Acoustic and Electromagnetic Scattering Theory Book in PDF, ePub and Kindle
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.
| Author | : David Colton |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 316 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 3662028352 |
Download Inverse Acoustic and Electromagnetic Scattering Theory Book in PDF, ePub and Kindle
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 | : 7 |
| Release | : 1994 |
| Genre | : |
| ISBN | : |
Download Inverse Scattering Problems for Acoustic and Electromagnetic Waves Book in PDF, ePub and Kindle
This research project was concerned with the inverse scattering problem for time harmonic electromagnetic waves. The main accomplishments were (1) the introduction of modified far field operators to eliminate unwanted eigenvalues in the dual space method for solving the inverse problem, (2) the numerical analysis of a combined finite element-boundary element method for solving the direct scattering problem, (3) an analysis of the spectral properties of the far field operator and the physical meaning of the distribution of eigenvalues, and (4) the adaptation of the dual space method to the problem of the detection and monitoring of leukemia. (MM).
| Author | : |
| Publisher | : |
| Total Pages | : 6 |
| Release | : 1989 |
| Genre | : |
| ISBN | : |
Download The Inverse Scattering Problem for Acoustic and Electromagnetic Waves Book in PDF, ePub and Kindle
This research project was concerned with the problem of determining the physical and geometric properties of an obstacle by probing with time harmonic acoustic or electromagnetic waves. A new method has been developed to solve problems of this type based on the theory of Herglotz wave functions and complete sets of solutions to the Helmholtz and Maxwell equations. Numerical examples have been given for the case of acoustic waves.
| Author | : Claude Bourrely |
| Publisher | : World Scientific |
| Total Pages | : 374 |
| Release | : 1989-03-01 |
| Genre | : |
| ISBN | : 981461887X |
Download Electromagnetic And Acoustic Scattering: Detection And Inverse Problems - Proceedings Of The Conference Book in PDF, ePub and Kindle
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 | : |
| Publisher | : |
| Total Pages | : 305 |
| Release | : 1971 |
| Genre | : Electromagnetic waves |
| ISBN | : 9780387555188 |
Download Inverse Acoustic and Electromagnetic Scattering Theory Book in PDF, ePub and Kindle
| Author | : Fadil Santosa |
| Publisher | : SIAM |
| Total Pages | : 384 |
| Release | : 1984-01-01 |
| Genre | : Science |
| ISBN | : 9780898710502 |
Download Inverse Problems of Acoustic and Elastic Waves Book in PDF, ePub and Kindle
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.
| Author | : Jingzhi Li |
| Publisher | : Springer Nature |
| Total Pages | : 373 |
| Release | : 2023-09-07 |
| Genre | : Science |
| ISBN | : 9819937728 |
Download Numerical Methods for Inverse Scattering Problems Book in PDF, ePub and Kindle
This book highlights the latest developments on the numerical methods for inverse scattering problems associated with acoustic, electromagnetic, and elastic waves. Inverse scattering problems are concerned with identifying unknown or inaccessible objects by wave probing data, which makes possible many industrial and engineering applications including radar and sonar, medical imaging, nondestructive testing, remote sensing, and geophysical exploration. The mathematical study of inverse scattering problems is an active field of research. This book presents a comprehensive and unified mathematical treatment of various inverse scattering problems mainly from a numerical reconstruction perspective. It highlights the collaborative research outputs by the two groups of the authors yet surveys and reviews many existing results by global researchers in the literature. The book consists of three parts respectively corresponding to the studies on acoustic, electromagnetic, and elastic scattering problems. In each part, the authors start with in-depth theoretical and computational treatments of the forward scattering problems and then discuss various numerical reconstruction schemes for the associated inverse scattering problems in different scenarios of practical interest. In addition, the authors provide an overview of the existing results in the literature by other researchers. This book can serve as a handy reference for researchers or practitioners who are working on or implementing inverse scattering methods. It can also serve as a graduate textbook for research students who are interested in working on numerical algorithms for inverse scattering problems.
| Author | : David Colton |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 358 |
| Release | : 1997-12-11 |
| Genre | : Science |
| ISBN | : 9783540628385 |
Download Inverse Acoustic and Electromagnetic Scattering Theory Book in PDF, ePub and Kindle
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.
| Author | : Guy Chavent |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 502 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461218780 |
Download Inverse Problems in Wave Propagation Book in PDF, ePub and Kindle
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.
