1.

Record Nr.

UNINA9910822386503321

Autore

Roach G. F (Gary Francis)

Titolo

Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics / / G.F. Roach, I.G. Stratis, A.N. Yannacopoulos

Pubbl/distr/stampa

Princeton, : Princeton University Press, 2012

ISBN

1-68015-903-8

1-283-43978-6

9786613439789

1-4008-4265-4

Edizione

[Course Book]

Descrizione fisica

1 online resource (400 p.)

Collana

Princeton series in applied mathematics

Altri autori (Persone)

StratisI. G <1955-> (Ioannis G.)

YannacopoulosA. N <1968-> (Athanasios N.)

Disciplina

537.01/519

Soggetti

Electromagnetism - Mathematics

Stochastic control theory

Mathematical analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

pt. 1. Modelling and mathematical preliminaries -- pt. 2. Time-harmonic deterministic problems -- pt. 3. Time-dependent deterministic problems -- pt. 4. Stochastic problems -- pt. 5. Appendices.

Sommario/riassunto

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.