Point Sources and Multipoles in Inverse Scattering Theory

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A01=Roland Potthast
acoustic wave propagation
advanced inverse scattering applications
Author_Roland Potthast
Boundary Values
Category=PBKJ
Category=PBW
Category=PHF
closed
Compact Linear Operator
dirichlet
eld
Eld Patterns
electromagnetic inverse problems
Electromagnetic Scattering
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eq_isMigrated=2
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exterior
Exterior Dirichlet Problem
graph
Hausdor Distance
Herglotz Wave Function
Incident Plane Waves
Inhomogeneous Medium
Interior Dirichlet Problem
Inverse Scattering
Inverse Scattering Problems
Jj Jj
Linear Sampling Method
linear sampling technique
Minimum Norm Solution
Newton Scheme
Nite Data
operator
pattern
Penetrable Scatterers
Plane Waves
Point Source Method
problem
qualitative reconstruction methods
Regularization Parameter
Scattered Eld
scatterer
shape reconstruction algorithms
Single Layer Potential
Spherical Harmonics
uniqueness and stability analysis
unknown
Unknown Scatterer

Product details

  • ISBN 9781584882527
  • Weight: 510g
  • Dimensions: 156 x 234mm
  • Publication Date: 30 May 2001
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Paperback
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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.

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