4 edition of Inverse problems in wave propagation found in the catalog.
Includes bibliographical references.
|Statement||Guy Chavent ... [et al.], editors.|
|Series||The IMA volumes in mathematics and its applications ;, v. 90|
|Contributions||Chavent, Guy, 1943-|
|LC Classifications||QA927 .I57 1997|
|The Physical Object|
|Pagination||xi, 499 p. :|
|Number of Pages||499|
|LC Control Number||97000998|
The desired coefficients are functions of point. Most attention is given to the case where the required functions depend only on one coordinate. The first chapter of the book deals mainly with methods of solution of one-dimensional inverse problems. The second chapter focuses on scalar inverse problems of wave propagation in a layered medium. that a wide class of inverse problems may be readily solved with high speed computers and modern computational techniques. This is demonstrated by formulating and solving some inverse problems which arise in celestial mechanics, transport theory and wave propagation. FORTRAN programs are listed in the Appendix.
Inverse wave propagation problems without phase information Article in Inverse Problems 35(7) July with 29 Reads How we measure 'reads'. In this chapter, acoustic wave propagation in porous media is studied in the high- and the low- frequency range. The direct and inverse scattering problems are solved for the mechanical.
One of the most methodical treatments of electromagnetic wave propagation, radiation, and scatteringincluding new applications and ideas Presented in two parts, this book takes an analytical approach on the subject and emphasizes new ideas and applications used today. Part one covers fundamentals of electromagnetic wave propagation, radiation, and scattering. It provides ample end . Cambridge University Press Book Summary. Extracting information from seismic data requires knowledge of seismic wave propagation and reflection. The commonly used method involves solving linearly for a reflectivity at every point within the Earth, but this book follows an alternative approach which invokes inverse scattering theory.
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Inverse Problems in Wave Propagation (The IMA Volumes in Mathematics and its Applications (90)) Softcover reprint of the original 1st ed. Edition by Guy Chavent (Editor), George Papanicolaou (Editor), Paul Sacks (Editor), William Symes (Editor) & 1 more.
Inverse problems in wave propagation concern extraction of information about distant structural features from the measurements of scattered waves. Tasks of this nature arise in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic nondestructive testing, biomedical ultrasonics, radar, astrophysics, and other areas of science and technology.
Introduction. Inverse problems in wave propagation concern extraction of information about distant structural features from the measurements of scattered waves. Tasks of this nature arise in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic nondestructive testing, biomedical ultrasonics, radar, astrophysics, and other areas of science and technology.
As an example of the second application, inverse problems in wave propagation in heterogeneous media arise in the problem of imaging the subsurface below land or marine deposits.
The book records the achievements of Workshop 3 "Wave Propagation and Scattering, Inverse Problems and Applications in Energy and the Environment". These ten detailed and authoritative survey articles on numerical methods for direct and inverse wave propagation problems are written by leading experts.
Researchers and practitioners in computational wave propagation, from postgraduate level onwards, will find the breadth and depth of coverage of recent developments a valuable resource. This book describes the state of the art in the field of modeling and solving numerically inverse problems of wave propagation and diffraction.
It addresses mathematicians, physicists and engineers as well. Applications in such fields as acoustics, optics, and geophysics are emphasized. Of special interest are the contributions to two and three dimensional problems without reducing symmetries.
Direct and Inverse Problems in Wave Propagation and Applications Ed. by Graham, Ivan / Langer, Ulrich / Melenk, Jens / Sini, Mourad Series: Radon Series on Computational and Applied Mathematics 2 Wave equation, speed of sound, and acoustic energy 8 Ill-posed inverse problem.
48 Typical plate pitch deﬁnition and to the propagation in ﬂuids like air and water. In such a case acoustics is a part of ﬂuid dynamics. The first chapter of the book deals mainly with methods of solution of one-dimensional inverse problems. The second chapter focuses on scalar inverse problems of wave propagation in a layered medium.
In the final chapter inverse problems for elasticity equations in stratified media and acoustic equations for moving media are given. Inverse Problems in Wave Propagation With Illustrations Springer.
APPLICATIONS OF INVERSE METHODS TO THE ANALYSIS OF REFRACTION AND WIDE-ANGLE SEISMIC. DATA. ROBERT L. NOWACK Abstract. The refraction inverse problem was initially investigated by Herglotz. Inverse problems in wave propagation concern extraction of information about distant structural features from the measurements of scattered waves.
The papers in this volume present fundamental mathematical investigations of the relationship between waves and scatterers. This book discusses the development of radio-wave tomography methods as a means of remote non-destructive testing, diagnostics of the internal structure of semi-transparent media, and reconstruction of the shapes of opaque objects based on multi-angle sounding.
It describes physical-mathematical models of systems designed to reconstruct images of hidden objects, based on tomographic processing. About this book. This proceedings volume gathers peer-reviewed, selected papers presented at the “Mathematical and Numerical Approaches for Multi-Wave Inverse Problems” conference at the Centre Internacional de Rencontres Mathématiques (CIRM) in Marseille, France, in April It brings the latest research into new, reliable theoretical approaches and numerical techniques for solving nonlinear and.
This work deals with the inverse thermoacoustic tomography (TAT) problem. It is a biomedical, multi-wave imaging technique, based on the photoacoustic effect (generation of sound from light) that was discovered in by Alexan- der Graham Bell.
Bao G., Symes W.W. () Regularity of an inverse problem in wave propagation. In: Chavent G., Sabatier P.C. (eds) Inverse Problems of Wave Propagation and Diffraction. Lecture Notes in Physics, vol This monograph provides an introductory account of scattering phenomena and a guide to the technical requirements for investigating wave scattering problems.
It gathers together the principal mathematical topics which are required when dealing with wave propagation and scattering problems, and indicates how to use the material to develop the. Direct and Inverse Problems in Wave Propagation and Applications - Ebook written by Ivan Graham, Ulrich Langer, Jens Melenk, Mourad Sini.
Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Direct and Inverse Problems in Wave Propagation and Applications. Differential electromagnetic imaging / Habib Ammari --Multitrace boundary integral equations / Xavier Claeys, Ralf Hiptmair and Carlos Jerez-Hanckes --Direct and Inverse Elastic Scattering Problems for Diffraction Gratings / Johannes Elschner and Guanghui Hu --Multigrid methods for Helmholtz problems: A convergent scheme in 1D using standard.
Gunther Uhlmann University of Washington, USA and HKUST Jockey Club Institute for Advanced Study, Hong Kong.
For example, the Kirchhoff approximation has proved to be especially useful in forward and inverse wave propagation problems where the distribution of the reflecting boundaries is the main target.
Select Chapter 20 - Integral Representations in Full Waveform Inversion. Get this from a library! Inverse problems in wave propagation. [Guy Chavent;] -- Inverse problems in wave propagation concern extraction of information about distant structural features from the measurements of scattered waves.
Tasks of this nature arise in geophysics, ocean. Inverse Problems of Wave Processes (Inverse and Ill-Posed Problems Series) [Blagoveshchenskii, A. S.] on *FREE* shipping on qualifying offers. Inverse Problems of Wave Processes (Inverse and Ill-Posed Problems Series).Wave propagation in inhomogeneous or random media, diffusion in porous media, inverse problems, multiscale phenomena, communication, financial mathematics.
Kui Ren. [email protected] Department of Applied Physics and Applied Mathematics, Columbia University, S W Mudd Building, W th Street, New York, NYUSA.