A comprehensive survey of boundary conditions as applied in antenna and microwave engineering, material physics, optics, and general electromagnetics research. Boundary conditions are essential for determining electromagnetic problems. Working with engineering problems, they provide analytic assistance in mathematical handling of electromagnetic structures, and offer synthetic help for designing new electromagnetic structures. Boundary Conditions in Electromagnetics describes the most-general boundary conditions restricted by linearity and locality, and analyzes basic plane-wave reflection and matching problems associated to a planar boundary in a simple-isotropic medium. This comprehensive text first introduces known special cases of particular familiar forms of boundary conditions -- perfect electromagnetic conductor, impedance, and DB boundaries -- and then examines various general forms of boundary conditions. Subsequent chapters discuss sesquilinear boundary conditions and practical computations on wave scattering by objects defined by various boundary conditions. The practical applications of less-common boundary conditions, such as for metamaterial and metasurface engineering, are referred to throughout the text. This book: Describes the mathematical analysis of fields associated to given boundary conditions Provides examples of how boundary conditions affect the scattering properties of a particle Contains ample in-chapter exercises and solutions, complete references, and a detailed index Includes appendices containing electromagnetic formulas, Gibbsian 3D dyadics, and four-dimensional formalism Boundary Conditions in Electromagnetics is an authoritative text for electrical engineers and physicists working in electromagnetics research, graduate or post-graduate students studying electromagnetics, and advanced readers interested in electromagnetic theory.

An introduction to multivectors, dyadics, and differential forms for electrical engineers

"The author is a true scholar with an unusual sense of time, place, and history. He is internationally well known and respected. His knowledge of differential forms is equaled by only a tiny number of electromagnetic researchers, most of whom were associated with Professor Deschamps, either as colleagues or students. The presentation in this book is a true reflection of the author's grasp of the subject and his skills as a writer."
-Professor Donald G. Dudley, Editor, IEEE Press Series on Electromagnetic Wave Theory

"Professor Deschamps' goal of completing a monograph on differential forms and their applications to electromagnetics was never realized. I, like most of his students, fondly remember the excitement and challenges that his interest in differential forms brought to our lives. With the kind dedication of his book to Professor Deschamps and his expert presentation of this very mathematically challenging representation of electromagnetic phenomena, Professor Lindell nicely conveys those feelings to the reader."
-Professor Richard W. Ziolkowski, University of Arizona

While physicists have long applied differential forms to various areas of theoretical analysis, dyadic algebra is also the most natural language for expressing electromagnetic phenomena mathematically. George Deschamps pioneered the application of differential forms to electrical engineering but never completed his work. Now, Ismo V. Lindell, an internationally recognized authority on differential forms, provides a clear and practical introduction to replacing classical Gibbsian vector calculus with themathematical formalism of differential forms.

In Differential Forms in Electromagnetics, Lindell simplifies the notation and adds memory aids in order to ease the reader's leap from Gibbsian analysis to differential forms, and provides the algebraic tools corresponding to the dyadics of Gibbsian analysis that have long been missing from the formalism. He introduces the reader to basic EM theory and wave equations for the electromagnetic two-forms, discusses the derivation of useful identities, and explains novel ways of treating problems in general linear (bi-anisotropic) media.

Clearly written and devoid of unnecessary mathematical jargon, Differential Forms in Electromagnetics helps engineers master an area of intense interest for anyone involved in research on metamaterials.

This book applies the four-dimensional formalism with an extended toolbox of operation rules, allowing readers to define more general classes of electromagnetic media and to analyze EM waves that can exist in them End-of-chapter exercises Formalism allows readers to find novel classes of media Covers various properties of electromagnetic media in terms of which they can be set in different classes

Electrical Engineering/Electromagnetics Methods for Electromagnetic Field Analysis A volume in the IEEE Series on Electromagnetic Wave Theory Donald G. Dudley, Series Editor ... a gigantic platter of formulae of the dyadic kind.'--Akhlesh Lakhtaki, Professor, The Pennsylvania State University This monograph discusses mathematical and conceptual methods applicable in the analysis of electromagnetic fields and waves. Dyadic algebra is reviewed and armed with new identities it is applied throughout the book. The power of dyadic operations is seen when working with boundary, sheet and interface conditions, medium equations, field transformations, Greens functions, plane wave problems, vector circuit theory, multipole and image sources. Dyadic algebra offers convenience in handling problems involving chiral and bianisotropic media, of recent interest because of their wide range of potential applications. The final chapter gives, for the first time in book form, a unified presentation of EIT, the exact image theory, introduced by this author and colleagues. EIT is a general method for solving problems involving layered media by replacing them through image sources located in complex space. The main emphasis of the monograph is not on specific results but methods of analysis. The contents should be of interest to scientists doing research work in various fields of electromagnetics, as well as to graduate students. The addition of problems and answers in this reprint will enhance the teaching value of this work. Also in the series... Mathematical Foundations for Electromagnetic Theory Donald D. Dudley, University of Arizona, Tucson 1994 Hardcover 256 pp Methods for Electromagnetic WavePropagation D. S. Jones, University of Dundee 1995 Hardcover 672 pp The Transmission Line Modeling Method: TLM Christos Christopoulos, University of Nottingham 1995 Hardcover 232 pp