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Download or read book The Connection Between Time- and Frequency-domain Three-dimensional Inverse Scattering Methods written by and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger G. Newton
Publisher : Springer Science & Business Media
ISBN 13 : 3642836712
Total Pages : 177 pages
Book Rating : 4.6/5 (428 download)
Download or read book Inverse Schrödinger Scattering in Three Dimensions written by Roger G. Newton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the laws of physics are expressed in the form of differential equations; that is our legacy from Isaac Newton. The customary separation of the laws of nature from contingent boundary or initial conditions, which has become part of our physical intuition, is both based on and expressed in the properties of solutions of differential equations. Within these equations we make a further distinction: that between what in mechanics are called the equations of motion on the one hand and the specific forces and shapes on the other. The latter enter as given functions into the former. In most observations and experiments the "equations of motion," i. e. , the structure of the differential equations, are taken for granted and it is the form and the details of the forces that are under investigation. The method by which we learn what the shapes of objects and the forces between them are when they are too small, too large, too remote, or too inaccessi ble for direct experimentation, is to observe their detectable effects. The question then is how to infer these properties from observational data. For the theoreti cal physicist, the calculation of observable consequences from given differential equations with known or assumed forces and shapes or boundary conditions is the standard task of solving a "direct problem. " Comparison of the results with experiments confronts the theoretical predictions with nature.
Author : Khosrow Chadan
Publisher : Springer Science & Business Media
ISBN 13 : 3642833179
Total Pages : 526 pages
Book Rating : 4.6/5 (428 download)
Download or read book Inverse Problems in Quantum Scattering Theory written by Khosrow Chadan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: The normal business of physicists may be schematically thought of as predic ting the motions of particles on the basis of known forces, or the propagation of radiation on the basis of a known constitution of matter. The inverse problem is to conclude what the forces or constitutions are on the basis of the observed motion. A large part of our sensory contact with the world around us depends on an intuitive solution of such an inverse problem: We infer the shape, size, and surface texture of external objects from their scattering and absorption of light as detected by our eyes. When we use scattering experiments to learn the size or shape of particles, or the forces they exert upon each other, the nature of the problem is similar, if more refined. The kinematics, the equations of motion, are usually assumed to be known. It is the forces that are sought, and how they vary from point to point. As with so many other physical ideas, the first one we know of to have touched upon the kind of inverse problem discussed in this book was Lord Rayleigh (1877). In the course of describing the vibrations of strings of variable density he briefly discusses the possibility of inferring the density distribution from the frequencies of vibration. This passage may be regarded as a precursor of the mathematical study of the inverse spectral problem some seventy years later.
Author : WU
Publisher : Birkhäuser
ISBN 13 : 3034863632
Total Pages : 192 pages
Book Rating : 4.0/5 (348 download)
Download or read book Scattering and Attenuation of Seismic Waves, Part II written by WU and published by Birkhäuser. This book was released on 2013-11-21 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint from Pure and Applied Geophysics (PAGEOPH), Volume 131 (1989), No. 4
Author :
Publisher :
ISBN 13 :
Total Pages : 780 pages
Book Rating : 4.3/5 (129 download)
Download or read book Energy Research Abstracts written by and published by . This book was released on 1985 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fadil Santosa
Publisher : SIAM
ISBN 13 : 9780898710502
Total Pages : 384 pages
Book Rating : 4.7/5 (15 download)
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.
Author : Vladimir G. Romanov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110942011
Total Pages : 484 pages
Book Rating : 4.1/5 (19 download)
Download or read book Ill-Posed and Inverse Problems written by Vladimir G. Romanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-05 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: M.M. Lavrentiev is the author of many fundamental scientific results in many directions of mathematics and its applications, such as differential equations, inverse and ill-posed problems, tomography, numerical and applied mathematics. His results in the theory of inverse problems for differential equations and in tomography are well known all over the world. To honour him on the occasion of his 70th birthday renowned scientists in this field of mathematics, both from East and West, have contributed to this special collection of papers on ill-posed and inverse problems, which will be of interest to anyone working in this field.
Author :
Publisher :
ISBN 13 :
Total Pages : 542 pages
Book Rating : 4.:/5 (319 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : CANNON
Publisher : Birkhäuser
ISBN 13 : 3034870140
Total Pages : 184 pages
Book Rating : 4.0/5 (348 download)
Download or read book Inverse Problems written by CANNON and published by Birkhäuser. This book was released on 2013-03-13 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains manuscripts of lectures or topics related to the lectures which were given at the conference on "Inverse Problems" at the mathematical Research Institute at Oberwolfach. The conference took place during the week of May 18-24, 1986, and was managed by the editors. Recalling Professor Joseph Keller's paper entitled Inverse Problems, American Mathematical Monthly, 83 (1976), we give two direct quotes. "We call two problems inverses of one another if the formulation of each involves all or part of the solution of the other. Often, for historical reasons, one of the two problems has been studied extensively for some time, while the other is newer and not so well understood. In such cases, the former is called the direct problem, while the latter is called the inverse problem. " "The main sources of inverse problems are science and engineering. Often these problems concern the determination of the properties of some inaccess ible regions from observations on the boundary of that region. " Often, inverse problems are not well posed. This increases the difficulty in their analysis and numerical solution. As can be seen from the table of content of this volume, the conference covered inverse problems in scattering theory, seismology, tomography, estimation of coefficients and source terms in parabolic and elliptic differential equations, the inverse Sturm-Liouville problem, and numerical methods. The editors wish to thank Professor M. Barner and his co-workers of the Mathematical Research Institute for their help in creating the conference.
Author : Weng Cho Chew
Publisher : John Wiley & Sons
ISBN 13 : 0780347498
Total Pages : 646 pages
Book Rating : 4.7/5 (83 download)
Download or read book Waves and Fields in Inhomogenous Media written by Weng Cho Chew and published by John Wiley & Sons. This book was released on 1999-02-02 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electrical Engineering/Electromagnetics Waves and Fields in Inhomogeneous Media A Volume in the IEEE Press Series on Electromagnetic Waves Donald G. Dudley, Series Editor ".it is one of the best wave propagation treatments to appear in many years." Gerardo G. Tango, CPG, Consulting Seismologist-Acoustician, Covington, LA This comprehensive text thoroughly covers fundamental wave propagation behaviors and computational techniques for waves in inhomogeneous media. The author describes powerful and sophisticated analytic and numerical methods to solve electromagnetic problems for complex media and geometry as well. Problems are presented as realistic models of actual situations which arise in the areas of optics, radio wave propagation, geophysical prospecting, nondestructive testing, biological sensing, and remote sensing. Key topics covered include: * Analytical methods for planarly, cylindrically and spherically layered media * Transient waves, including the Cagniard-de Hoop method * Variational methods for the scalar wave equation and the electromagnetic wave equation * Mode-matching techniques for inhomogeneous media * The Dyadic Green's function and its role in simplifying problem-solving in inhomogeneous media * Integral equation formulations and inverse problems * Time domain techniques for inhomogeneous media This book will be of interest to electromagnetics and remote sensing engineers, physicists, scientists, and geophysicists. This IEEE Press reprinting of the 1990 version published by Van Nostrand Reinhold incorporates corrections and minor updating. Also in the series. Mathematical Foundations for Electromagnetic Theory by Donald G. Dudley, University of Arizona at Tucson This volume in the series lays the mathematical foundations for the study of advanced topics in electromagnetic theory. Important subjects covered include linear spaces, Green's functions, spectral expansions, electromagnetic source representations, and electromagnetic boundary value problems. 1994 Hardcover 264 pp ISBN 0-7803-1022-5 IEEE Order No. PC3715 About the Series The IEEE Press Series on Electromagnetic Waves consists of new titles as well as reprints and revisions of recognized classics that maintain long-term archival significance in electromagnetic waves and applications. Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level.
Author :
Publisher :
ISBN 13 :
Total Pages : 784 pages
Book Rating : 4.:/5 (89 download)
Download or read book Energy Research Abstracts written by and published by . This book was released on 1986-12 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald Thompson
Publisher : Springer Science & Business Media
ISBN 13 : 1461594219
Total Pages : 631 pages
Book Rating : 4.4/5 (615 download)
Download or read book Review of Progress in Quantitative Nondestructive Evaluation written by Donald Thompson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume (parts A and B) contains the edited papers presented at the annual Review of Progress in Quantitative NDE held at the University of California, San Diego, July 8-13, 1984. We have chosen to organize the papers by subject, an arrangement that we feel to be more useful for a reference volume than the order of paper presentation at the Review. To do this, topical subject headings have been selected under which the large majority of papers reasonably fall. These categories cover a broad spectrum of research in NDE and encompass activities from funda mental work to early engineering applications. The scope and depth of the Review may be easily assessed by examination of the Table of Contents. The Review was sponsored by the Center for Advanced NDE at the Ames Lab oratory of the U.S. Dept. of Energy in cooperation with the Office of Basic Energy Sciences, USDOE, the Materials Laboratory at Wright-Patterson AFB, and the Naval Sea Systems Command. Approximately 300 attendees re presenting various government agencies, industry, and universities parti cipated in the technical presentations, poster sessions, and discussions. This Review, possibly the most comprehensive annual symposium in NDE, provides a valuable forum for the timely exchange of technical informa tion. A few highlights of the Review are summarized in the following paragraphs.
Author : Mathias Fink
Publisher : Springer Science & Business Media
ISBN 13 : 354044680X
Total Pages : 352 pages
Book Rating : 4.5/5 (44 download)
Download or read book Imaging of Complex Media with Acoustic and Seismic Waves written by Mathias Fink and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this interdisciplinary book, leading experts in underwater acoustics, seismology, acoustic medical imaging and non-destructive testing present basic concepts as well as the recent advances in imaging. The different subjects tackled show significant similarities.
Author : Centre national de la recherche sacientifique (France). Recherche coopéreative sur programme 264
Publisher :
ISBN 13 :
Total Pages : 594 pages
Book Rating : 4.3/5 (243 download)
Download or read book Problems Inverses written by Centre national de la recherche sacientifique (France). Recherche coopéreative sur programme 264 and published by . This book was released on 1986 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Erdogan Alkan
Publisher : Springer Nature
ISBN 13 : 3031017153
Total Pages : 119 pages
Book Rating : 4.0/5 (31 download)
Download or read book Double-Grid Finite-Difference Frequency-Domain (DG-FDFD) Method for Scattering from Chiral Objects written by Erdogan Alkan and published by Springer Nature. This book was released on 2022-05-31 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the application of the overlapping grids approach to solve chiral material problems using the FDFD method. Due to the two grids being used in the technique, we will name this method as Double-Grid Finite Difference Frequency-Domain (DG-FDFD) method. As a result of this new approach the electric and magnetic field components are defined at every node in the computation space. Thus, there is no need to perform averaging during the calculations as in the aforementioned FDFD technique [16]. We formulate general 3D frequency-domain numerical methods based on double-grid (DG-FDFD) approach for general bianisotropic materials. The validity of the derived formulations for different scattering problems has been shown by comparing the obtained results to exact and other solutions obtained using different numerical methods. Table of Contents: Introduction / Chiral Media / Basics of the Finite-Difference Frequency-Domain (FDFD) Method / The Double-Grid Finite-Difference Frequency-Domain (DG-FDFD) Method for Bianisotropic Medium / Scattering FromThree Dimensional Chiral Structures / ImprovingTime and Memory Efficiencies of FDFD Methods / Conclusions / Appendix A: Notations / Appendix B: Near to Far FieldTransformation
Author :
Publisher :
ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.3/5 (243 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1978 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sadasiva M. Rao
Publisher : Elsevier
ISBN 13 : 0080519245
Total Pages : 385 pages
Book Rating : 4.0/5 (85 download)
Download or read book Time Domain Electromagnetics written by Sadasiva M. Rao and published by Elsevier. This book was released on 1999-07-26 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time Domain Electromagnetics deals with a specific technique in electromagnetics within the general area of electrical engineering. This mathematical method has become a standard for a wide variety of applications for design and problem solving. This method of analysis in electromagnetics is directly related to advances in cellular and mobile communications technology, as well as traditional EM areas such as radar, antennas, and wave propagation. Most of the material is available in the research journals which is difficult for a non-specialist to locate, read, understand, and effectively use for the problem at hand. - Only book currently available to practicing engineers and research scientists exclusively devoted to this subject - Includes contributions by the world's leading experts in electromagnetics - Presents the most popular methods used in time domain analysis are included at one place with thorough discussion of the methods in an easily understandable style - In each chapter, many simple and practical examples are discussed thoroughly to illustrate the salient points of the material presented - All chapters are written in a consistent style that allows the book to be of use for self-study by professionals as well as for use in a graduate-level course in electrical engineering
