Last edited by Gardagrel
Wednesday, May 6, 2020 | History

6 edition of Point Sources and Multipoles in Inverse Scattering Theory found in the catalog.

Point Sources and Multipoles in Inverse Scattering Theory

by Roland Potthast

  • 287 Want to read
  • 31 Currently reading

Published by Chapman & Hall/CRC .
Written in English

    Subjects:
  • Applied mathematics,
  • Differential Equations,
  • States of matter,
  • Theoretical methods,
  • Mathematical Physics,
  • Science,
  • Mathematics,
  • Science/Mathematics,
  • Acoustics & Sound,
  • Differential Equations - Partial Differential Equations,
  • General,
  • Mathematics / Applied,
  • Inverse problems (Differential,
  • Inverse problems (Differential equations),
  • Scattering (Mathematics)

  • The Physical Object
    FormatPaperback
    Number of Pages302
    ID Numbers
    Open LibraryOL8795278M
    ISBN 101584882522
    ISBN 109781584882527

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    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. Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations.


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Point Sources and Multipoles in Inverse Scattering Theory by Roland Potthast Download PDF EPUB FB2

This paper is concerned with the uniqueness in inverse acoustic scattering problems with the modulus of the far-field patterns co-produced by the obstacle (resp. medium) and the point : Roland Potthast. Point Sources and Multipoles in Inverse Scattering Theory.

DOI link for Point Sources and Multipoles in Inverse Scattering Theory. Point Sources and Multipoles in Inverse Scattering Theory bookCited by: Point Sources and Multipoles in Inverse Scattering Theory provides a survey of recent developments in inverse acoustic and electromagnetic scattering theory.

Focusing on methods developed over the last six years by Colton, Kirsch, and the author, this treatment uses point sources combined with several far-reaching techniques to obtain.

Offers a survey of developments in inverse acoustic and electromagnetic scattering theory. This book uses point sources combined with several far-reaching techniques to obtain qualitative reconstruction methods while addressing questions of uniqueness, stability, and reconstructions for both two-and three-dimensional problems.

Get this from a library. Point sources and multipoles in inverse scattering theory. [Roland Potthast] -- A survey of recent developments in inverse acoustic and electromagnetic scattering theory, this source of information from both the mathematical and applications perspectives, offers insight into the.

Roland Potthast is the author of Point Sources and Multipoles in Inverse Scattering Theory ( avg rating, 0 ratings, 0 reviews, published ), Point 4/5(1). The point source method for inverse scattering in the time domain Article in Mathematical Methods in the Applied Sciences 29(13) - September with 31 Reads How we measure 'reads'.

The discrete sources method is an efficient and powerful tool for solving a large class of boundary-value problems in scattering theory.

A variety of numerical methods for discrete sources now exist. In this book, the authors unify these formulations in the context of the so-called discrete sources method.

We take the view that the connections between algorithms are more illuminating than their differences, particularly with regard to the linear sampling method [D. Colton and A. Kirsch, Inverse Problems, 12 (), pp. –], the point source method [R. Potthast, Point Sources and Multipoles in Inverse Scattering Theory, Chapman & Hall Cited by: 8.

His book Linear Partial Differential Operators published by Springer in the Grundlehren series was the first major account of this theory. Hid four volume text The Analysis of Linear Partial Differential Operators published in the same series 20 years later illustrates.

Abstract. With the analysis of the preceding chapters, we now are well prepared for studying inverse acoustic obstacle scattering problems. We recall that the direct scattering problem is, given information on the boundary of the scatterer and the nature of the boundary condition, to find the scattered wave and in particular its behavior at large distances from the scatterer, i.e., its far by: 1.

Point Sources and Multipoles in Inverse Scattering Theory 1st Edition. Roland Potthast Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering.

Abstract. We give a survey of the mathematical basis of inverse scattering theory, concentrating on the case of time-harmonic acoustic waves. After an introduction and historical remarks, we give an outline of the direct scattering problem. identification in inverse scattering.

This book belongs to the next generation of monographs on inverse scattering following the now standard works of Colton and Kress [2] (Inverse Acoustic and Electromagnetic Scattering Theory ()) and Isakov [7] (Inverse Problems for. In this paper, we review recent progress on the factorization method for inverse acoustic scattering problems.

Included are the classical factorization method for penetrable scatterers and generalized impedance boundary conditions, some modi cations for mixed-typed scatterers, near-field measurements and avoiding interior by: 5. This book is an edited volume of nine papers covering the different variants of the generalized multipole techniques (GMT).

The papers were presented at the recent 3rd Workshop on Electromagnetics and Light Scattering - Theory and Applications, which focused on current GMT methods.

The Analysis of Linear Partial Differential Operators III: Pseudo-Differential Operators. Point Sources and Multipoles in Inverse Scattering Theory Hid four volume text The Analysis of Linear Partial Differential Operators published in the same series 20 years later illustrates the vast expansion of the subject in that period.

Key words Point sources, inverse problems, Maxwell’s equations MSC () 78A45, 78A46 A spherical electromagnetic wave is scattered by a bounded perfectly conducting obstacle. A generalization of the plane-wave optical theorem is established. For a spherical scatterer, low frequency results are obtained by approximating the known exact.

This paper is concerned with a conceptual gesture-based instruction/input technique using electromagnetic wave detection.

The gestures are modeled as the shapes of some impenetrable or penetrable scatterers from a certain admissible class, called a dictionary. The gesture-computing device generates time-harmonic electromagnetic point signals for the gesture recognition and by: 4. Potthast, R.: Point-sources and Multipoles in Inverse Scattering, Chapman & Hall, London Correspondence Courses Among various lecture notes for basically all my lectures, I have written more elaborate correspondance courses.

R. Potthast, "Point Sources and Multipoles in Inverse Scattering Theory,", Chapman & Hall/CRC Research Notes in Mathematics, (). Google Scholar [22] F. Simonetti, Localization of pointlike scatterers in solids with subwavelength resolution, Applied Physics Letter, 89 ().

doi: / Google Scholar [23]Cited by: Roland Potthast, Point sources and multipoles in inverse scattering theory, Chapman & Hall/CRC Research Notes in Mathematics, vol.Chapman & Hall/CRC, Boca Raton, FL, MR   The goal of the review is to provide a state-of-the-art survey on sampling and probe methods for the solution of inverse problems.

Point sources and multipoles. Applications of the above one-wave range test algorithm for an inverse scattering problem are shown in figure Cited by: