Reconstruction of Small Inhomogeneities from Boundary Measurements

• Introduction.- Part I: Detection of Small Conductivity Inclusions; Transmission Problem; Generalized Polarization Tensors; Derivation of the Full Asymptotic Formula; Detection of Inclusions.- Part II: Detection of Small Elastic Inclusions; Transmission Problem for Elastostatics; Elastic Moment Tensor; Derivation of Small Asymptotic Expansions; Detections of Inclusions.- Part III: Detection of Small Electromagnetic Inclusions; Well-Posedness; Representation of Solutions; Derivation of Asymptotic Formulae; Reconstruction Algorithms.- Appendices.- References.- Index.

From the reviews: "The book ... describes a 'fresh and promising techniques for the reconstruction of small inclusions from boundary measurements' and the presentation is 'intended to be self-contained'. ... The problems discussed in the book are of interest both theoretically and practically. This book hopefully will stimulate the research in the area of finding small inhomogeneities from experimental data." (Alexander G. Ramm, Zentralblatt MATH, Vol. 1113 (15), 2007)