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Inverse Acoustic and Electromagnetic...
~
Kress, Rainer.
Inverse Acoustic and Electromagnetic Scattering Theory
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Inverse Acoustic and Electromagnetic Scattering Theory/ by David Colton, Rainer Kress.
Author:
Colton, David.
other author:
Kress, Rainer.
Description:
XVII, 518 p. 9 illus.online resource. :
Contained By:
Springer Nature eBook
Subject:
Partial differential equations. -
Online resource:
https://doi.org/10.1007/978-3-030-30351-8
ISBN:
9783030303518
Inverse Acoustic and Electromagnetic Scattering Theory
Colton, David.
Inverse Acoustic and Electromagnetic Scattering Theory
[electronic resource] /by David Colton, Rainer Kress. - 4th ed. 2019. - XVII, 518 p. 9 illus.online resource. - Applied Mathematical Sciences,930066-5452 ;. - Applied Mathematical Sciences,191.
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.
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.
ISBN: 9783030303518
Standard No.: 10.1007/978-3-030-30351-8doiSubjects--Topical Terms:
1102982
Partial differential equations.
LC Class. No.: QA370-380
Dewey Class. No.: 515.353
Inverse Acoustic and Electromagnetic Scattering Theory
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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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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.
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