Spectral Geometry and Inverse Scattering Theory

"Spectral Geometry and Inverse Scattering Theory" is a specialized book that addresses the challenges and methods of inverse scattering theory. It provides a comprehensive analysis of typical scenarios in inverse scattering problems relevant to time-harmonic acoustic, electromagnetic, and elastic waves. The book places particular emphasis on geometric inverse scattering problems, where the goal is to reconstruct the shape and position of a scatterer independently of the properties of the medium. Through a systematic and in-depth discussion of these topics, it enables readers to develop a unified understanding of the analysis of various geometric inverse scattering problems from a spectral-geometric perspective. It is aimed at both advanced students and researchers who wish to learn about the latest developments in inverse scattering theory.