Inverse acoustic and electromagnetic scattering theory / / David Colton, Rainer Kress

• Record Nr.: UNINA9910438149603321
• Autore: Colton David L. <1943->
• Pubbl/distr/stampa: New York, : Springer, 2012, c2013
• ISBN: 1-283-74054-0; 1-4614-4942-1
• Edizione: [3rd ed.]
• Descrizione fisica: 1 online resource (418 p.)
• Collana: Applied mathematical sciences ; ; v. 93
• Altri autori (Persone): KressRainer <1941->
• Disciplina: 534.2
• Soggetti: Sound-waves - Scattering; Electromagnetic waves - Scattering; Inverse scattering transform
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Introduction -- The Helmholtz Equation -- Direct Acoustic Obstacle Scattering -- III-Posed Problems -- Inverse Acoustic Obstacle Scattering -- The Maxwell Equations -- Inverse Electromagnetic Obstacle Scattering -- Acoustic Waves in an Inhomogeneous Medium -- Electromagnetic Waves in an Inhomogeneous Medium -- The Inverse Medium Problem.-References -- Index.
• Sommario/riassunto: The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this third edition, new sections have been added on the linear sampling and factorization methods for solving the inverse scattering problem as well as expanded treatments of iteration methods and uniqueness theorems for the inverse obstacle problem. These additions have in turn required an expanded presentation of both transmission eigenvalues and boundary integral equations in Sobolev spaces. As in the previous editions, emphasis has been given to simplicity over generality thus providing the reader with an accessible introduction to the field of inverse scattering theory. Review of earlier editions: “Colton and Kress have ; written a scholarly, state of the art account of their view of direct and inverse scattering. The book is a pleasure to read as a graduate text or to dip into at leisure. It suggests a number of open problems and will be a source of inspiration for many years to come.” SIAM Review, September 1994 “This book should be on the desk of any researcher, any student, any teacher interested in scattering theory.” Mathematical Intelligencer, June 1994.