an:07114984
Zbl 1425.35001
Colton, David; Kress, Rainer
Inverse acoustic and electromagnetic scattering theory. 4th expanded edition
EN
Applied Mathematical Sciences 93. Cham: Springer (ISBN 978-3-030-30350-1/hbk; 978-3-030-30351-8/ebook). xvii, 518~p. (2019).
00439494
2019
b
35-02 35P25 35J05 35R30 45A05 65M30 78A45
Helmholtz equation; Maxwell equations; inverse obstacle problem; inverse medium problem; uniqueness; reconstruction methods
Publisher's description: 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.
For the first, second and third editions see [Zbl 0760.35053; Zbl 0893.35138; Zbl 1266.35121].
Zbl 0760.35053; Zbl 0893.35138; Zbl 1266.35121