Inverse Acoustic and Electromagnetic Scattering Theory

• Κύριοι συγγραφείς: Colton, David (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Kress, Rainer (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 4th ed. 2019.
• Σειρά: Applied Mathematical Sciences, 93
• Θέματα: 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 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. 

 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.