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Spectral Geometry and Inverse Scattering Theory
Huaian Diao, Hongyu Liu
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Naturwissenschaften, Medizin, Informatik, Technik / Geometrie
Description
Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied mathematics. This book provides a detailed presentation of typical setup of inverse scattering problems for time-harmonic acoustic, electromagnetic and elastic waves. Moreover, it provides systematical and in-depth discussion on an important class of geometrical inverse scattering problems, where the inverse problem aims at recovering the shape and location of a scatterer independent of its medium properties. Readers of this book will be exposed to a unified framework for analyzing a variety of geometrical inverse scattering problems from a spectral geometric perspective.
This book contains both overviews of classical results and update-to-date information on latest developments from both a practical and theoretical point of view. It can be used as an advanced graduate textbook in universities or as a reference source for researchers in acquiring the state-of-the-art results in inverse scattering theory and their potential applications.
customer reviews
stability, elastodynamics, geometric structures of eigenfunctions, Wave scattering, acoustics, inverse shape problems, electromagnetism, spectral geometry, single measurements, uniqueness