Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics
by Roach, G. F.
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 ad…
Read More ↓Title Statements
- Full title :Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2012.
Publication Statements
- Publisher(s):Princeton University Press
- Place of Publication:Princeton
- Language:eng
- Publication Date:2012.
Notes
13.4 Approximate controllability I: Random PDEs.
The Physical Object
- Description:1 online resource (400 pages).
Edition Identifiers
- ISBN:0691142173, 9780691142173
- oclc:ocn990464381
- LC Classification:QC760.4.M37 .R638 2012
- Dewey Decimal:537.01519
Table of Contents
Cover; Title; Copyright; Contents; Preface; PART 1: MODELLING AND MATHEMATICAL PRELIMINARIES; Chapter 1 Complex Media; Chapter 2 The Maxwell Equations and Constitutive Relations; 2.1 Introduction; 2.2 Fundamentals; 2.3 Constitutive relations; 2.4 The Maxwell equations in complex media: A variety of problems; Chapter 3 Spaces and Operators; 3.1 Introduction; 3.2 Function spaces; 3.3 Standard differential and trace operators; 3.4 Function spaces for electromagnetics; 3.5 Traces; 3.6 Various decompositions; 3.7 Compact embeddings; 3.8 The operators of vector analysis revisited.
3.9 The Maxwell operatorPART 2: TIME-HARMONIC DETERMINISTIC PROBLEMS; Chapter 4 Well Posedness; 4.1 Introduction; 4.2 Solvability of the interior problem; 4.3 The eigenvalue problem; 4.4 Low chirality behaviour; 4.5 Comments on exterior domain problems; 4.6 Towards numerics; Chapter 5 Scattering Problems: Beltrami Fields and Solvability; 5.1 Introduction; 5.2 Elliptic, circular and linear polarisation of waves; 5.3 Beltrami fields -- The Bohren decomposition; 5.4 Scattering problems: Formulation; 5.5 An introduction to BIEs; 5.6 Properties of Beltrami fields; 5.7 Solvability.
5.8 Generalised Müller's BIEs5.9…
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