1st Edition
Point Sources and Multipoles in Inverse Scattering Theory
By Roland Potthast
Copyright 2001
276 Pages
by
Chapman & Hall
276 Pages
by
Chapman & Hall
302 Pages
by
Chapman & Hall
Also available as eBook on:
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... Read more
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
INDEX
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
INDEX
Biography
Roland Potthast
"The presentation…is sound and fresh…provides valuable sources of information from both the mathematical and applications perspectives…will 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 Reviews
