Inverse Scattering Problems In Optics

Author : H.P. Baltes
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642814723

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Inverse Scattering Problems in Optics by H.P. Baltes Pdf

When, in the spring of 1979, H.P. Baltes presented me with the precursor of this vo 1 ume, the book on "Inverse Source Problems in Opti cs", I expressed my gratitude in a short note, 11hich in translation, reads: "Dear Dr. Ba ltes, the mere titl e of your unexpected gift evokes memori es of a period, which, in the terminology of your own contribution, would be described as the Stone Age of the Inverse Problem. Those were pleasant times. Walter Kohn and I lived in a cave by ourselves, drew pictures on the walls, and nobody seemed to care. Now, however, Inversion has become an Industry, which I contemplate with as much bewilderment as a surviving Tasmanian aborigine gazing at a modern oil refinery with its towers, its fl ares, and the confus i ng maze of its tubes." The present volume makes me feel even more aboriginal - impossible for me to fathom its content. What I can point out, however, is one of the forgotten origins of the Inverse Scattering Problem of Quantum Mechanics: Werner Heisenberg's "S-Matrix Theory" of 1943. This grandiose scheme had the purpose of eliminating the notion of the Hamiltonian in favour of the scattering operator. If Successful, it would have done away once and for all with any kind of inverse problem.

Author : H. P. Baltes,R. Jost
Publisher : Unknown
Page : 336 pages
File Size : 49,5 Mb
Release : 1980-11-01
Category : Electronic
ISBN : 3642814735

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Inverse Scattering Problems in Optics by H. P. Baltes,R. Jost Pdf

Author : Bertero
Publisher : CRC Press
Page : 454 pages
File Size : 41,7 Mb
Release : 1992-02-27
Category : Technology & Engineering
ISBN : 0750301430

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Inverse Problems in Scattering and Imaging by Bertero Pdf

Inverse Problems in Scattering and Imaging is a collection of lectures from a NATO Advanced Research Workshop that integrates the expertise of physicists and mathematicians in different areas with a common interest in inverse problems. Covering a range of subjects from new developments on the applied mathematics/mathematical physics side to many areas of application, the book achieves a blend of research, review, and tutorial contributions. It is of interest to researchers in the areas of applied mathematics and mathematical physics as well as those working in areas where inverse problems can be applied.

Author : H.P. Baltes
Publisher : Springer
Page : 228 pages
File Size : 42,7 Mb
Release : 1978-11
Category : Science
ISBN : UCAL:B4375706

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Inverse Source Problems in Optics by H.P. Baltes Pdf

With contributions by numerous experts

Author : Joseph B. Keller
Publisher : Forgotten Books
Page : 26 pages
File Size : 44,6 Mb
Release : 2017-12-04
Category : Electronic
ISBN : 0265840457

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The Inverse Scattering Problem in Geometrical Optics and the Design of Reflectors by Joseph B. Keller Pdf

Excerpt from The Inverse Scattering Problem in Geometrical Optics and the Design of Reflectors: January, 1958 In Fig. 3 this reflector is drawn, using (9) and (10) with the upper sign. Equation (1) can also be used to solve the direct problem of scattering. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author : Dilip N. Ghosh Roy
Publisher : CRC Press
Page : 506 pages
File Size : 45,5 Mb
Release : 1991-03-14
Category : Science
ISBN : 084936258X

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Methods of Inverse Problems in Physics by Dilip N. Ghosh Roy Pdf

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 : Xudong Chen
Publisher : John Wiley & Sons
Page : 328 pages
File Size : 48,5 Mb
Release : 2018-03-07
Category : Science
ISBN : 9781119312017

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Computational Methods for Electromagnetic Inverse Scattering by Xudong Chen Pdf

A comprehensive and updated overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems Offers the recent and most important advances in inverse scattering grounded in fundamental theory, algorithms and practical engineering applications Covers the latest, most relevant inverse scattering techniques like signal subspace methods, time reversal, linear sampling, qualitative methods, compressive sensing, and noniterative methods Emphasizes theory, mathematical derivation and physical insights of various inverse scattering problems Written by a leading expert in the field

Author : V.E. Zuev,I.E. Naats
Publisher : Springer
Page : 273 pages
File Size : 40,5 Mb
Release : 2013-06-05
Category : Science
ISBN : 9783540388029

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Inverse Problems of Lidar Sensing of the Atmosphere by V.E. Zuev,I.E. Naats Pdf

This monograph undertakes to present systematically the methods for solving inverse problems of lidar sensing of the atmosphere, with emphasis on lidar techniques that are based on the use of light scattering by aerosols. The theory of multi-frequency lidar sensing, as a new method for studying the microphysical and optical characteristics of aerosol formations, is also pre sented in detail. The possibilities of this theory are illustrated by the experimental results on microstructure analysis of tropospheric and low stratospheric aerosols obtained with ground-based two- and three-frequency lidars. The lidar facilities used in these experimental studies were construc ted at the Institute of Atmospheric Optics S8 USSR Academy of Sciences. Some aspects of remote control of dispersed air pollution using lidar systems are also considered. A rigorous theory for inverting the data of polarization lidar measure ments is discussed, along with its application to remote measurement of the complex index of refraction of aerosol substances and the microstructure pa rameters of background aerosols using double-ended lidar schemes. Solutions to such important problems as the separation of contributions due to Rayleigh molecular and Mie-aerosol light scattering into the total backscatter are ob tained by using this theory. Lidar polarization measurements are shown to be useful in this case. The efficiency of the methods suggested here for inter preting the lidar polarization measurements is illustrated by experimental results on the investigation of the microphysical parameters of natural aero sols and artificial smokes using polarization nephelometers.

Author : Society of Photo-optical Instrumentation Engineers
Publisher : SPIE-International Society for Optical Engineering
Page : 504 pages
File Size : 42,5 Mb
Release : 1992
Category : Computers
ISBN : UOM:39015029997908

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Inverse Problems in Scattering and Imaging by Society of Photo-optical Instrumentation Engineers Pdf

Author : Fioralba Cakoni,David Colton
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 41,5 Mb
Release : 2005-12-29
Category : Mathematics
ISBN : 9783540312307

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Qualitative Methods in Inverse Scattering Theory by Fioralba Cakoni,David Colton Pdf

Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field. It is accessible also to readers who are not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and engineering community.

Author : Khosrow Chadan,David Colton,Lassi P?iv?rinta,William Rundell
Publisher : SIAM
Page : 206 pages
File Size : 47,8 Mb
Release : 1997-01-01
Category : Mathematics
ISBN : 9780898713879

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An Introduction to Inverse Scattering and Inverse Spectral Problems by Khosrow Chadan,David Colton,Lassi P?iv?rinta,William Rundell Pdf

Here is a clearly written introduction to three central areas of inverse problems: inverse problems in electromagnetic scattering theory, inverse spectral theory, and inverse problems in quantum scattering theory. Inverse problems, one of the most attractive parts of applied mathematics, attempt to obtain information about structures by nondestructive measurements. Based on a series of lectures presented by three of the authors, all experts in the field, the book provides a quick and easy way for readers to become familiar with the area through a survey of recent developments in inverse spectral and inverse scattering problems.

Author : Dilip N. Ghosh Roy,L. S. Couchman
Publisher : Academic Press
Page : 336 pages
File Size : 53,5 Mb
Release : 2001-10-04
Category : Computers
ISBN : 0080546137

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Inverse Problems and Inverse Scattering of Plane Waves by Dilip N. Ghosh Roy,L. S. Couchman Pdf

The purpose of this text is to present the theory and mathematics of inverse scattering, in a simple way, to the many researchers and professionals who use it in their everyday research. While applications range across a broad spectrum of disciplines, examples in this text will focus primarly, but not exclusively, on acoustics. The text will be especially valuable for those applied workers who would like to delve more deeply into the fundamentally mathematical character of the subject matter. Practitioners in this field comprise applied physicists, engineers, and technologists, whereas the theory is almost entirely in the domain of abstract mathematics. This gulf between the two, if bridged, can only lead to improvement in the level of scholarship in this highly important discipline. This is the book's primary focus.

Author : K. Chadan,P. C. Sabatier
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 43,6 Mb
Release : 2013-04-18
Category : Science
ISBN : 9783662121252

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Inverse Problems in Quantum Scattering Theory by K. Chadan,P. C. Sabatier Pdf

Author : K.I. Hopcraft,P.R. Smith
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 40,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789401580144

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An Introduction to Electromagnetic Inverse Scattering by K.I. Hopcraft,P.R. Smith Pdf

With the advent of the comparatively new disciplines of remote sensing and non-destructive evaluation of materials, the topic of inverse scattering has broadened from its origins in elementary particle physics to encompass a diversity of applications. One such area which is of increasing importance in inverse scattering within the context of electromagnetism and this text aims to serve as an introduction to that particular speciality. The subject's development has progressed at the hands of engineers, mathematicians and physicists alike, with an inevitable disparity of emphasis and notation. One of the main objectives of this text is to distill the essence of the subject and to present it in the form of a graduated and coherent development of ideas and techniques. The text provides a physical approach to inverse scattering solutions, emphasizing the applied aspects rather than the mathematical rigour. The authors' teaching and research backgrounds in physics, electrical engineering and applied mathematics enable them to explore and stress the cross disciplinary nature of the subject. This treatment will be of use to anyone embarking on a theoretical or practical study of inverse electromagnetic scattering.

Author : Mark J. Ablowitz,Harvey Segur
Publisher : SIAM
Page : 433 pages
File Size : 51,9 Mb
Release : 2006-05-15
Category : Mathematics
ISBN : 9780898714777

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Solitons and the Inverse Scattering Transform by Mark J. Ablowitz,Harvey Segur Pdf

A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localised pulse-like nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation.