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Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics

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Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics Synopsis

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.

About This Edition

ISBN: 9780691142173
Publication date:
Author: G F Roach, I G Stratis, A N Yannacopoulos
Publisher: Princeton University Press
Format: Hardback
Pagination: 382 pages
Series: Princeton Series in Applied Mathematics
Genres: Applied mathematics
Stochastics
Calculus
Calculus and mathematical analysis
Electricity, electromagnetism and magnetism