Inverse Problems and Applications in Electromagnetic Fields

Author: Huang Kam
Publisher:
Publish Date: 2005-10-01
Features: This book discusses inverse problems in electromagnetic fields and their applications, primarily consisting of two parts: one is the fundamental theory and algorithms of inverse problems, and the other is the modeling and solution of common inverse problems in electromagnetic fields. Chapters 1–4 discuss deterministic methods for inverse problems (including concepts of ill-posed and well-posed problems, general theory of regularization, Tikhonov regularization, determination of regularization parameters, iterative regularization, discrete regularization, and regularization algorithms for nonlinear inverse problems) and stochastic methods, specifically Monte Carlo methods (including taboo search algorithms, simulated annealing algorithms, genetic algorithms, neural network methods, etc.). Chapters 5–8 focus on highly valuable optimization design problems, impedance tomography, electromagnetic inverse scattering, and the measurement of complex permittivity in complex media. The appendix includes some basic concepts from vector and functional analysis relevant to the book. This book is primarily suitable for graduate students, teachers, and researchers with a foundation in electromagnetic field theory. It can serve as a graduate textbook or as a reference for researchers in the fields of biomedical imaging, radar target recognition, geophysical exploration, and non-destructive testing.