Ebook: Inverse Acoustic and Electromagnetic Scattering Theory

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

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

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

Content:
Front Matter....Pages i-xiv
Introduction....Pages 1-12
The Helmholtz Equation....Pages 13-38
Direct Acoustic Obstacle Scattering....Pages 39-94
Ill-Posed Problems....Pages 95-118
Inverse Acoustic Obstacle Scattering....Pages 119-186
The Maxwell Equations....Pages 187-236
Inverse Electromagnetic Obstacle Scattering....Pages 237-264
Acoustic Waves in an Inhomogeneous Medium....Pages 265-302
Electromagnetic Waves in an Inhomogeneous Medium....Pages 303-324
The Inverse Medium Problem....Pages 325-388
Back Matter....Pages 389-405

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

Content:
Front Matter....Pages i-xiv
Introduction....Pages 1-12
The Helmholtz Equation....Pages 13-38
Direct Acoustic Obstacle Scattering....Pages 39-94
Ill-Posed Problems....Pages 95-118
Inverse Acoustic Obstacle Scattering....Pages 119-186
The Maxwell Equations....Pages 187-236
Inverse Electromagnetic Obstacle Scattering....Pages 237-264
Acoustic Waves in an Inhomogeneous Medium....Pages 265-302
Electromagnetic Waves in an Inhomogeneous Medium....Pages 303-324
The Inverse Medium Problem....Pages 325-388
Back Matter....Pages 389-405
....