Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics
G. F. Roach, I. G. Stratis, and A. N. Yannacopoulos
Abstract
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 intro ... More
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, homogenisation, 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.
Keywords:
electromagnetic complex media,
electromagnetic waves,
applied mathematics,
electrical engineering,
physics,
homogenisation,
controllability,
Maxwell equations,
frequency,
time
Bibliographic Information
| Print publication date: 2012 |
Print ISBN-13: 9780691142173 |
| Published to Princeton Scholarship Online: October 2017 |
DOI:10.23943/princeton/9780691142173.001.0001 |
Authors
Affiliations are at time of print publication.
G. F. Roach, author
University of Athens
I. G. Stratis, author
Athens University of Economics and Business
A. N. Yannacopoulos, author
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