Qualitative Methods in Inverse Scattering Theory

Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field. It is accessible also to readers who are not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and engineering community.

Inhalt

Functional Analysis and Sobolev Spaces.- Ill-Posed Problems.- Scattering by an Imperfect Conductor.- The Inverse Scattering Problem for an Imperfect Conductor.- Scattering by an Orthotropic Medium.- The Inverse Scattering Problem for an Orthotropic Medium.- The Factorization Method.- Mixed Boundary Value Problems.- A Glimpse at Maxwell's Equations.