Electromagnetic complex media are artificial materials that affect the
propagation of electromagnetic waves in surprising ways not usually seen
in nature. Because of their wide range of important applications, these
materials have been intensely studied over the past twenty-five years,
mainly from the perspectives of physics and engineering. But a body of
rigorous mathematical theory has also gradually developed, and this is
the first book to present that theory.Designed for researchers and
advanced graduate students in applied mathematics, electrical
engineering, and physics, this book introduces the electromagnetics of
complex media through a systematic, state-of-the-art account of their
mathematical theory. The book combines the study of well posedness,
homogenization, and controllability of Maxwell equations complemented
with constitutive relations describing complex media. The book treats
deterministic and stochastic problems both in the frequency and time
domains. It also
covers computational aspects and scattering problems, among other
important topics. Detailed appendices make the book self-contained in
terms of mathematical prerequisites, and accessible to engineers and
physicists as well as mathematicians.