5 edition of **Inverse scattering and applications** found in the catalog.

- 18 Want to read
- 9 Currently reading

Published
**1991**
by American Mathematical Society in Providence, R.I
.

Written in English

- Inverse problems (Differential equations) -- Congresses.,
- Scattering (Mathematics) -- Congresses.

**Edition Notes**

Statement | D.H. Sattinger, C.A. Tracy, S. Venakides, editors. |

Series | Contemporary mathematics :, v. 122, Contemporary mathematics (American Mathematical Society) ;, v. 122. |

Contributions | Sattinger, David H., Tracy, C. A., Venakides, S., American Mathematical Society., Institute of Mathematical Statistics., Society for Industrial and Applied Mathematics. |

Classifications | |
---|---|

LC Classifications | QA370 .A57 1990 |

The Physical Object | |

Pagination | xiii, 133 p. : |

Number of Pages | 133 |

ID Numbers | |

Open Library | OL1546778M |

ISBN 10 | 0821851292 |

LC Control Number | 91026094 |

The book records the achievements of Workshop 3 "Wave Propagation and Scattering, Inverse Problems and Applications in Energy and the Environment". It brings together key numerical mathematicians whose interest is in the analysis and computation of wave propagation and scattering problems, and in inverse problems, together with practitioners. Cramér–Rao lower bounds for inverse scattering problems of multilayer structures Article in Inverse Problems 22(4) June with 19 Reads How we measure 'reads'.

This book provides a comprehensive introduction to the techniques, tools and methods for inverse problems and data assimilation, and is written at the interface between mathematics and applications for students, researchers and developers in mathematics, physics, engineering, acoustics, electromagnetics, meteorology, biology, environmental and other applied sciences. scattering by inhomogeneous media and are closely related to non-scattering waves. Such eigenvalues provide information about material properties of the scattering media and can be determined from scattering data. Hence they can play an important role in a variety of inverse problems in target identiﬁcation and nondestructive testing.

Find many great new & used options and get the best deals for Developments in Electromagnetic Theory and Applications Ser.: An Introduction to Electromagnetic Inverse Scattering by P. R. Smith and K. I. Hopcraft (Trade Paper) at the best online prices at eBay! Free shipping for many products! the inverse scattering transform, which among other things can be viewed of as a nonlinear analogue of the Fourier transform. There is much more to the inverse scattering transform than we discuss in this paper. Consideration of one-dimensional periodic problems solvable by this method reveals connections with algebraic geometry and Riemann File Size: KB.

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Contains the proceedings of an AMS-IMS-SIAM Summer Institute on Inverse Scattering and Applications, held in Amherst, Massachusetts, in June This work is suitable for researchers working in inverse scattering theory, inverse conductance problems, and completely integrable systems.

In one space dimension the inverse scattering problem is equivalent to a Riemann-Hilbert problem. Since its early statement for radiolocation [ citation needed ], many applications have been found for inverse scattering techniques, including echolocation, geophysical survey, nondestructive testing, medical imaging, quantum field theory.

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.

This book is intended for a wide community working with inverse scattering problems and their applications; in particular, there is a traditional community in mathematical physics. In this monograph, the problems are solved step-by-step, and detailed proofs are given for the problems to make the topics more accessible for students who are.

This chapter focuses on the inverse scattering problem and its applications to NLPDE. The inverse scattering problem is to reconstruct the Inverse scattering and applications book q(x) from the left or the right scattering data and to find the necessary and sufficient conditions that an arbitrary collection {r(k),ik l, m l} must satisfy in order to be the left or the right.

This book contains the proceedings of an AMS-IMS-SIAM Summer Institute on Inverse Scattering and Applications, held in Amherst, Massachusetts, in June The papers cover the current state of the art in inverse conductivity problems, applications of inverse scattering theory to integrable systems, three-dimensional inverse scattering.

Computational Methods for Electromagnetic Inverse Scattering. Xudong Chen, National University of Singapore, Singapore.

This book offers a comprehensive and updated overview of the theory, algorithms and applications of electromagnetic inverse scattering by: In mathematics, the inverse scattering transform is a method for solving some non-linear partial differential is one of the most important developments in mathematical physics in the past 40 years [citation needed].The method is a non-linear analogue, and in some sense generalization, of the Fourier transform, which itself is applied to solve many linear partial differential.

Hsueh-Jyh Li, Yean-Woei Kiang, in The Electrical Engineering Handbook, Definition and Applications. The inverse scattering problem is to reconstruct or recover some physical and/or geometric properties of an object from the measured scattered field under the illumination of an incident wave.

The reconstructed information of interest includes, for instance, the dielectric constant. Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications Proceedings of the NSF Research Workshop on Contact Transformations, held in Nashville, Tennessee, Editors: Miura, Robert M.

(Ed.) Free Preview. Chapters 1 and 2 of the book describe in detail the theory of the inverse scattering transform. Chapter 3 discusses alternate methods for these exactly solvable problems and the interconnections among them.

Physical applications are described in Chapter 4, where, for example, similarities between deep water waves and nonlinear optics become. The differential inverse scattering methods turn out to be very efficient since, in some sense, they let the medium perform the inversion by itself and thus fully exploit its structure.

They provide an alternative to classical methods based on integral equations, which, in order to exploit the structure of the problem, must ultimately resort to Cited by: ISBN: OCLC Number: Notes: "Proceedings of a Conference on Inverse Scattering on the Line, held Juneat the University of Massachusetts, Amherst, with support from the National Science Foundation, the National Security Agency, and the Office of Naval Research.".

Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications NSF Research Workshop on Contact Transformations.

Inverse Scattering and Applications by David H. Sattinger,available at Book Depository with free delivery worldwide. Drawing on the award winning research of Carnegie Mellon’s David S.

Ricketts, Electrical Solitons Theory, Design, and Applications is the first text to focus specifically on KdV solitons in the nonlinear transmission line. Divided into three parts, the book begins with the foundational theory for KdV solitons, presents the core underlying.

Inverse Acoustic and Electromagnetic Scattering Theory DAVID COLTON Abstract. This paper is a survey of the inverse scattering problem for time-harmonic acoustic and electromagnetic waves at ˝xed frequency. We begin by a discussion of weak scattering and Newton-type methods for solving the inverse scattering problem for acoustic waves.

Inverse problems and optimal design have come of age as a consequence of the availability of better, more accurate, and more efficient simulation packages.

Many of these simulators, which can run on small workstations, can capture the complicated behavior of the physical systems they are modeling. the monogragh of pages [4]. If an expert on the Inverse scattering technique looks into this book, he will be surprised: how many formulae are familiar to him.

After the First World War, the problem of n-orthogonal coordinate systems was almost forgotten. An interest to File Size: KB. Inverse Problems in Scattering exposes some of the mathematics which has been developed in attempts to solve the one-dimensional inverse scattering problem.

Layered media are treated in Chapters and quantum mechanical models in Chapters Thus, Chapters 2 and 6 show the connections between matrix theory, Schur's lemma in complex analysis, the Levinson--Durbin algorithm, filter theory.

The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Gordon equation or the quantum nonlinear Schrödinger equation).

This introduction to this important and exciting area first deals with the Bethe ansatz and calculation of physical by: 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".Inverse Scattering Transform and the Theory of Solitons TUNCAY AKTOSUNab aUniversity of Texas at Arlington, Arlington, Texas, USA bSupported in part by the National Science Foundation under grant DMS Article Outline Glossary I.

Deﬂnition of the Subject and Its Importance.