TY  - BOOK
AU  - Colton,David
AU  - Kress,Rainer
ED  - SpringerLink (Online service)
TI  - Inverse Acoustic and Electromagnetic Scattering Theory
T2  - Applied Mathematical Sciences,
SN  - 9781461449423
AV  - QA370-380 
U1  - 515.353 23
PY  - 2013///
CY  - New York, NY
PB  - Springer New York, Imprint: Springer
KW  - Mathematics
KW  - Integral equations
KW  - Partial differential equations
KW  - Visualization
KW  - Physics
KW  - Acoustics
KW  - Partial Differential Equations
KW  - Integral Equations
KW  - Theoretical, Mathematical and Computational Physics
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-1-4614-4942-3
ER  -