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Author : Irvin W. Kay,Harry E. Moses
Publisher : Unknown
Page : 0 pages
File Size : 53,5 Mb
Release : 1982
Category : Potential scattering
ISBN : 009156932X
Author : Irvin W. Kay,Harry E. Moses
Publisher : Math Science Press
Page : 330 pages
File Size : 51,6 Mb
Release : 1982
Category : Mathematics
ISBN : UCAL:B3849278
Author : Dilip N. Ghosh Roy
Publisher : CRC Press
Page : 506 pages
File Size : 53,9 Mb
Release : 1991-03-14
Category : Science
ISBN : 084936258X
This interesting volume focuses on the second of the two broad categories into which problems of physical sciences fall-direct (or forward) and inverse (or backward) problems. It emphasizes one-dimensional problems because of their mathematical clarity. The unique feature of the monograph is its rigorous presentation of inverse problems (from quantum scattering to vibrational systems), transmission lines, and imaging sciences in a single volume. It includes exhaustive discussions on spectral function, inverse scattering integral equations of Gel'fand-Levitan and Marcenko, Povzner-Levitan and Levin transforms, Møller wave operators and Krein's functionals, S-matrix and scattering data, and inverse scattering transform for solving nonlinear evolution equations via inverse solving of a linear, isospectral Schrodinger equation and multisoliton solutions of the K-dV equation, which are of special interest to quantum physicists and mathematicians. The book also gives an exhaustive account of inverse problems in discrete systems, including inverting a Jacobi and a Toeplitz matrix, which can be applied to geophysics, electrical engineering, applied mechanics, and mathematics. A rigorous inverse problem for a continuous transmission line developed by Brown and Wilcox is included. The book concludes with inverse problems in integral geometry, specifically Radon's transform and its inversion, which is of particular interest to imaging scientists. This fascinating volume will interest anyone involved with quantum scattering, theoretical physics, linear and nonlinear optics, geosciences, mechanical, biomedical, and electrical engineering, and imaging research.
Author : J. Bee Bednar
Publisher : SIAM
Page : 310 pages
File Size : 46,9 Mb
Release : 1983-01-01
Category : Mathematics
ISBN : 0898711908
Author : Khosrow Chadan,Pierre C. Sabatier
Publisher : Springer Science & Business Media
Page : 526 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642833175
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 : Lawrence W. Kessler
Publisher : Springer Science & Business Media
Page : 642 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461307259
This book contains the technical papers presented at the 16th International Symposium on Acoustical Imaging which was held in Chicago, Illinois USA from June 10-12, 1987. This meeting has long been a leading forum for acoustic imaging scientists and engineers to meet and exchange ideas from a wide range of disciplines. As evidenced by the diversity of topical groups into which the papers are organized, participants at the meeting and readers of this volume can benefit from developments in medical imaging, materials testing, mathematics, microsocopy and seismic exploration. A common denominator in this field, as its name implies, is the generation, display, manipulation and analysis of images made with mechanical wave energy. Sound waves respond to the elastic properties of the medium through which they propagate, and as such, are capable of characterizing that medium; something that cannot be done by other means. It is astonishing to realize that acoustic wave imaging is commonly performed over about eight decades of frequency, with seismology and microscopy serving as lower and upper bounds, respectively. The physics is the same, but the implementations are quite different and there is much to learn. The conference chairman and editor wishes to express his appreciation to those who helped run the symposium - namely the Technical Review COIIII1ttee and Session Cbair:aen including Floyd Dunn, Gordon S.
Author : Anonim
Publisher : Unknown
Page : 576 pages
File Size : 47,5 Mb
Release : 1983
Category : Mathematicians
ISBN : UCSD:31822005895461
Author : Anonim
Publisher : Unknown
Page : 848 pages
File Size : 49,5 Mb
Release : 1988
Category : Differential equations, Partial
ISBN : UOM:39015016353388
Author : Mei Kobayashi
Publisher : Unknown
Page : 236 pages
File Size : 47,8 Mb
Release : 1988
Category : Electronic
ISBN : UCAL:C3485381
Author : Anonim
Publisher : Unknown
Page : 320 pages
File Size : 51,9 Mb
Release : 1982
Category : Lie groups
ISBN : UCAL:B4022568
Author : Oneda
Publisher : American Institute of Physics
Page : 512 pages
File Size : 45,8 Mb
Release : 1985
Category : Science
ISBN : UCAL:B4128336
Author : Anonim
Publisher : Unknown
Page : 756 pages
File Size : 53,6 Mb
Release : 2001
Category : Mathematics
ISBN : UVA:X006122618
Author : E. R. Pike,Pierre C. Sabatier
Publisher : Elsevier
Page : 1831 pages
File Size : 44,9 Mb
Release : 2001-10-09
Category : Science
ISBN : 9780080540733
Scattering is the collision of two objects that results in a change of trajectory and energy. For example, in particle physics, such as electrons, photons, or neutrons are "scattered off" of a target specimen, resulting in a different energy and direction. In the field of electromagnetism, scattering is the random diffusion of electromagnetic radiation from air masses is an aid in the long-range sending of radio signals over geographic obstacles such as mountains. This type of scattering, applied to the field of acoustics, is the spreading of sound in many directions due to irregularities in the transmission medium. Volume I of Scattering will be devoted to basic theoretical ideas, approximation methods, numerical techniques and mathematical modeling. Volume II will be concerned with basic experimental techniques, technological practices, and comparisons with relevant theoretical work including seismology, medical applications, meteorological phenomena and astronomy. This reference will be used by researchers and graduate students in physics, applied physics, biophysics, chemical physics, medical physics, acoustics, geosciences, optics, mathematics, and engineering. This is the first encyclopedic-range work on the topic of scattering theory in quantum mechanics, elastodynamics, acoustics, and electromagnetics. It serves as a comprehensive interdisciplinary presentation of scattering and inverse scattering theory and applications in a wide range of scientific fields, with an emphasis, and details, up-to-date developments. Scattering also places an emphasis on the problems that are still in active current research. The first interdisciplinary reference source on scattering to gather all world expertise in this technique Covers the major aspects of scattering in a common language, helping to widening the knowledge of researchers across disciplines The list of editors, associate editors and contributors reads like an international Who's Who in the interdisciplinary field of scattering
Author : Anonim
Publisher : Unknown
Page : 1886 pages
File Size : 55,5 Mb
Release : 2000
Category : Books
ISBN : STANFORD:36105111050469
Author : K. Chadan,P. C. Sabatier
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 50,8 Mb
Release : 2013-04-18
Category : Science
ISBN : 9783662121252