Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics

Nonfiction, Science & Nature, Mathematics, Calculus, Applied, Science
Cover of the book Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics by G. F. Roach, I. G. Stratis, A. N. Yannacopoulos, Princeton University Press
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Author: G. F. Roach, I. G. Stratis, A. N. Yannacopoulos ISBN: 9781400842650
Publisher: Princeton University Press Publication: March 4, 2012
Imprint: Princeton University Press Language: English
Author: G. F. Roach, I. G. Stratis, A. N. Yannacopoulos
ISBN: 9781400842650
Publisher: Princeton University Press
Publication: March 4, 2012
Imprint: Princeton University Press
Language: English

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.

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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.

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