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.
General
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