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

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"Version: 20250801"--Title page verso.Includes bibliographical references and index.1. Maxwell's equations, potentials and boundary conditions -- 1.1. 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 principle7. Electromagnetic reciprocity -- 7.1. Reciprocity theorems in 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 generalized Snell's law10. Integral field representations -- 10.1. Integral representation of fields -- 10.2. Integral equations, physical optics, Bojarski's identity11. Characteristic mode theory -- 11.1. Definition and preliminary results -- 11.2. Characteristic mode theory for PEC bodies -- 11.3. Characteristic mode theory for penetrable objects12. Induction theorem and optical theorem -- 12.1. Induction and forward scattering theorems13. Eigenfunctions, Green's functions, and completeness -- 13.1. Hilbert space -- 13.2. Sturm-Liouville problem and Green's functions -- 13.3. Classification of operators and their properties -- 13.4. Sum of two commutative operators14. Electromagnetic degrees of freedom -- 14.1. DoF between communicating volumes in free-space -- 14.2. DoF of general radiating systems -- 14.3. Antenna gain limitations due to finite DoF15. Projection slice theorem and computed tomography -- 15.1. Radon transform and projection slice theorem -- 15.2. Computed tomography16. Free-space Green's function and its application in various coordinates -- 16.1. Various forms of free-space Green's function -- 16.2. Canonical problems in various coordinate systems17. Asymptotic analysis -- 17.1. Branch cuts for wave propagation -- 17.2. Complex waves -- 17.3. Asymptotic evaluation of integrals -- 17.4. Examples in wave propagation -- 17.5. Modified saddle point technique18. Covariant formulation of Maxwell's equations -- 18.1. Preliminaries of tensor calculus -- 18.2. Minkowski space -- 18.3. Covariant form of Maxwell's equations in vacuum -- 18.4. Maxwell's equations in arbitrary spacetime -- 18.5. Covariant form of Maxwell's equations in stationary matter -- 18.6. Transformational electromagnetics19. Lagrangian formalism and conservation laws -- 19.1. Lagrangian formalism and action principle -- 19.2. Noether's theorem and conservation laws20. Maxwell's equations in the sense of distributions -- 20.1. Preliminaries of distributions -- 20.2. Derivation of boundary conditions using distributions21. Stochastic representations of wave phenomenon -- 21.1. Preliminaries of stochastic calculus -- 21.2. Stochastic processes and Brownian motion -- 21.3. It?o integral and It?o-Doeblin formula -- 21.4. Solution of PDEs by stochastic technique, Feynman-Kac formulasAppendix A. Complex variable theory -- Appendix B. Vector analysis -- Appendix C. Surface vector analysis -- Appendix D. Bessel functions -- Appendix E. Associated Legendre functions and Legendre polynomials.Full-text restricted to subscribers or individual document purchasers.In this book the mathematical machinery underlying commonly encountered electromagnetic problems in antenna analysis and design, electromagnetic scattering and propagation, electromagnetic guiding, scattering control, radio imaging, and wireless communications is extracted and compiled in the form of theorems and principles. The matter is elucidated through several engineering examples. For instance, rather than discussing in detail the theory of waveguides with canonical geometries as a physical device having certain properties, as one would do in a traditional book on electrodynamics, an alternative approach where the waveguide field description is restricted to the description in terms of its eigenmodes is taken. Less common representation of fields that have escaped the attention of traditional treatments on the subject, but those that can lead to new theoretical results are prioritized.Graduate students and researchers.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 October 14, 2025).

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: .,

Collation

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

Language

English

ISBN/ISSN

9780750358842

Classification

537.6

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Edition

Second edition.

Subject(s)

Electrical engineering.
Engineering
Electrodynamics
Electrodynamics.
Electromagnetism
TECHNOLOGY & ENGINEERING / Electrical.

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Ramakrishna Janaswamy.

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