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