Description

Book Synopsis

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 electromagnetic waves.

In this fourth edition, a number of significant additions have been made including a new chapter on transmission eigenvalues and a new section on the impedance boundary condition where particular attention has been made to the generalized impedance boundary condition and to nonlocal impedance boundary conditions. Brief discussions on the generalized linear sampling method, the method of recursive linearization, anisotropic media and the use of target signatures in inverse scattering theory have also been added.




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.

Inverse Acoustic and Electromagnetic Scattering

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    A Paperback / softback by David Colton, Rainer Kress

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      Book details

      Publisher Springer Nature Switzerland AG
      Published 14 November 2020
      ISBN-13 9783030303532
      978-3030303532
      ISBN-10 3030303535
      Also in:
      Computing Information visualization Mathematics Differential calculus and equations Integral calculus and equations

      Description

      Book Synopsis

      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 electromagnetic waves.

      In this fourth edition, a number of significant additions have been made including a new chapter on transmission eigenvalues and a new section on the impedance boundary condition where particular attention has been made to the generalized impedance boundary condition and to nonlocal impedance boundary conditions. Brief discussions on the generalized linear sampling method, the method of recursive linearization, anisotropic media and the use of target signatures in inverse scattering theory have also been added.




      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.

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