Inverse Acoustic and Electromagnetic Scattering Theory

• Main Authors: Colton, David (Author, http://id.loc.gov/vocabulary/relators/aut), Kress, Rainer (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 4th ed. 2019.
• Series: Applied Mathematical Sciences, 93
• Subjects: Partial differential equations.; Integral equations.; Mathematics.; Visualization.; Mathematical physics.; Acoustics.; Partial Differential Equations.; Integral Equations.; Theoretical, Mathematical and Computational Physics.

The inverse scattering problem is central to many areas of science and technology such as radar, 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 electromagne...

Table of Contents:

• Introduction
• The Helmholtz Equation
• Direct Acoustic Obstacle Scattering
• Ill-Posed Problems
• Inverse Acoustic Obstacle Scattering
• The Maxwell Equations
• Inverse Electromagnetic Obstacle Scattering
• AcousticWaves in an Inhomogeneous Medium
• ElectromagneticWaves in an Inhomogeneous Medium
• Transmission Eigenvalues
• The Inverse Medium Problem.