Point Sources and Multipoles in Inverse Scattering Theory

Point Sources and Multipoles in Inverse Scattering Theory

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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. The study of inverse scattering, in particular, has developed rapidly with the ability to perform computational simulations of scattering processes and led to remarkable advances in a range of applications, from medical imaging and radar to remote sensing and seismic exploration. 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 qualitative reconstruction methods. The author addresses questions of uniqueness, stability, and reconstructions for both two-and three-dimensional problems. With interest in extracting information about an object through scattered waves at an all-time high, Point Sources and Multipoles in Inverse Scattering Theory provides a valuable source of information from both the mathematical and applications perspectives. It offers insight into the general recovery of information from incomplete data and has direct, practical relevance to work on image reconstruction.show more

Product details

  • Paperback | 302 pages
  • 157.5 x 235 x 15.2mm | 403.7g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • 2 black & white tables
  • 1584882522
  • 9781584882527

Review quote

"The presentationis sound and freshprovides valuable sources of information from both the mathematical and applications perspectiveswill prove particularly useful to engineers in acoustics, antennas and remote sensing as well as to students and researchers in electromagnetic theory, scattering theory, and partial differential equations." -Vladislav G. Dubrovsky in Mathematical Reviewsshow more

Table of contents

INTRODUCTION AND TOOLS A Survey About Inverse Scattering Theory Basic Definitions and Tools DIRECT SCATTERING PROBLEMS Acoustic Obstacle Scattering The Inhomogeneous Acoustic Medium Electromagnetic Scattering by a Perfect Conductor The Electromagnetic Inhomogeneous Medium Scattering by Orthotropic Media Anisotropic Electromagnetic Media UNIQUENESS AND STABILITY IN INVERSE SCATTERING Acoustic Scattering Electromagnetic Scattering THE CASE OF FINITE DATA Finite Data in Inverse Acoustic Scattering Inverse Electromagnetic Scattering THE POINT-SOURCE METHOD AND APPLICATIONS Reconstruction Of Acoustic Scatters Inverse Electromagnetic Scattering Reconstruction of the Boundary Values of Scattered Fields Convergence of a Regularized Newton Method SINGULAR SOURCES AND SHAPE RECONSTRUCTION Acoustic Scattering Electromagnetic Scattering LINEAR SAMPLING METHODS The Original Linear Sampling Method Spectral Theory and a Modified Linear Sampling Method Shape Reconstruction for Orthotropic Media Anisotropic Electromagnetic Media REFERENCES INDEXshow more