03756nam 2200637Ia 450 991043814960332120200520144314.01-283-74054-01-4614-4942-110.1007/978-1-4614-4942-3(CKB)2670000000278088(EBL)1030492(OCoLC)819816594(SSID)ssj0000795734(PQKBManifestationID)11441541(PQKBTitleCode)TC0000795734(PQKBWorkID)10786778(PQKB)10534444(DE-He213)978-1-4614-4942-3(MiAaPQ)EBC1030492(PPN)168301628(EXLCZ)99267000000027808820121108h20122013 uy 0engur|n|---|||||txtccrInverse acoustic and electromagnetic scattering theory /David Colton, Rainer Kress3rd ed.New York Springer2012, c20131 online resource (418 p.)Applied mathematical sciences ;v. 93Description based upon print version of record.1-4899-9983-3 1-4614-4941-3 Includes bibliographical references and index.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.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.Applied mathematical sciences (Springer-Verlag New York Inc.) ;v. 93.Sound-wavesScatteringElectromagnetic wavesScatteringInverse scattering transformSound-wavesScattering.Electromagnetic wavesScattering.Inverse scattering transform.534.2Colton David L.1943-28297Kress Rainer1941-28298MiAaPQMiAaPQMiAaPQBOOK9910438149603321Inverse acoustic and electromagnetic scattering theory328712UNINA