Spectral Geometry and Inverse Scattering Theory

By Hongyu Liu and Huaian Diao

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 referencesource for researchers in acquiring the state-of-the-art results in inverse scattering theory and their potential applications.

• Format: Hardcover
• Language: English
• ISBN: 3031346149
• ISBN13: 9783031346149
• Release Date: October 2023
• Publisher: Springer
• Length: 387 Pages
• Weight: 2.70 lbs.
• Dimensions: 1.0" x 8.3" x 11.2"