Engineering electrodynamics :a collection of theorems, principles and field representations /

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"Version: 20201201"--Title page verso.Includes bibliographical references.7. Electromagnetic reciprocity -- 7.1. Reciprocity theorems in the frequency and time domains -- 7.2. Compensation theorem8. Reactance theorems -- 8.1. Reactance theorems for networks and antennas9. Geometrical optics and Fermat's principle -- 9.1. Geometrical optics and Fermat's principle -- 9.2. Gradient metasurfaces and the generalized Snell's law10. Integral field representations -- 10.1. Integral representation of fields -- 10.2. Integral equations, physical optics, and Bojarski's identity11. Induction theorem and optical theorem -- 11.1. Induction and forward scattering theorems12. Eigenfunctions, Green's functions, and completeness -- 12.1. Hilbert space -- 12.2. Sturm-Liouville problem and Green's functions -- 12.3. Classification of operators and their properties -- 12.4. Sum of two commutative operators13. Electromagnetic degrees of freedom -- 13.1. DoF between communicating volumes in free space -- 13.2. Antenna gain limitations due to finite DoF14. Projection slice theorem and computed tomography -- 14.1. Radon transform and projection slice theorem -- 14.2. Computed tomography15. Free-space Green's function and its application in various coordinates -- 15.1. Various forms of the free-space Green's function -- 15.2. Canonical problems in various coordinate systems16. Asymptotic analysis -- 16.1. Branch cuts for wave propagation -- 16.2. Complex waves -- 16.3. Asymptotic evaluation of integrals -- 16.4. Examples in wave propagation -- 16.5. Modified saddle point technique17. Covariant formulation of Maxwell's equations -- 17.1. Preliminaries of tensor calculus -- 17.2. The covariant form of Maxwell's equations in Euclidean pseudo-space -- 17.3. Maxwell's equations in an arbitrary spacetime -- 17.4. Covariant form of Maxwell's equations in stationary matter -- 17.5. Transformational electromagnetics18. Maxwell's equations in the sense of distributions -- 18.1. Preliminaries of distributions -- 18.2. Derivation of boundary conditions using distributions19. Stochastic representations of wave phenomena -- 19.1. Preliminaries of stochastic calculus -- 19.2. Stochastic processes and Brownian motion -- 19.3. It?o integral and It?o-Doeblin formula -- 19.4. Solution of PDEs by stochastic technique, Feynman-Kac formulas.1. Maxwell's equations, potentials, and boundary conditions -- 1.1. The time-domain Maxwell's equations -- 1.2. Frequency domain Maxwell's equations -- 1.3. Field determination by radial components2. Electrostatics and magnetostatics -- 2.1. Energy related theorems in electrostatics -- 2.2. Principle of virtual displacement for static fields -- 2.3. Theorems related to harmonic functions3. Gauge invariance for electromagnetic fields -- 3.1. Gauge invariance for general material media -- 3.2. Gauge invariance in homogenized media4. Causality and dispersion -- 4.1. Causal systems -- 4.2. Dispersive systems -- 4.3. Causal properties of scattering amplitude5. Uniqueness, energy, and momentum -- 5.1. Uniqueness theorem -- 5.2. Energy and momentum6. Duality principle and Babinet's principle -- 6.1. Duality principle and Babinet's principleEngineering Electrodynamics: A collection of theorems, principles, and field representations deals with key theorems and principles that form the pillars on which engineering electromagnetics rests. In contrast to previous books, the emphasis here is on the underlying mathematical theme that binds these specific geometries. The relevant background material for the understanding of the various theorems is included in the book. After the theorems and principles are expounded, detailed examples are worked out, which further shed light on the those involved. This book also includes comprehensive material on some recent developments such as transformational electromagnetics. Detailed account on relevant complex variable theory, Bessel functions, and associated Legendre functions in the appendices make this book self-contained and suitable for graduate and advanced study.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Ramakrishna Janaswamy is a Professor in the Department of Electrical and Computer Engineering, University of Massachusetts, USA. His professional interests include the topics of analytical and computational electromagnetics, deterministic and stochastic radiowave propagation, antenna theory and design, system theory, mathematical physics, and wireless communications. He is a Fellow of IEEE and author of the book Radiowave Propagation and Smart Antennas for Wireless Communications, Kluwer, 2000.Title from PDF title page (viewed on January 14, 2021).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

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9780750317160

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537.6

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Subject(s)

Optical physics.
SCIENCE / Physics / Optics & Light.
Engineering
Electrodynamics
Electrodynamics.
Electromagnetism

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Ramakrishna Janaswamy.

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