| Description |
1 online resource (xii, 290 pages) : illustrations |
| Series |
The Oxford engineering science series ; 30 |
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Oxford engineering science series ; 30.
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| Contents |
Complex vectors -- Complex vector identities -- Parallel and perpendicular vectors -- Axial representation -- Polarization vectors -- Complex vector bases -- Dyadics -- Dyads and polyads -- Symmetric and antisymmetric dyadics -- Dyadics as linear mappings -- Products of dyadics -- Dot-product algebra -- Double-dot product -- Double-cross product -- Invariants and inverses -- Solving dyadic equations -- Linear equations -- Quadratic equations -- Shearers -- The eigenvalue problem -- Hermitian and positive definite dyadics -- Hermitian dyadics -- Positive definite dyadics -- Special dyadics -- Rotation dyadics -- Reflection dyadics -- Uniaxial dyadics -- Gyrotropic dyadics -- Two-dimensional dyadics -- Eigendyadics -- Base dyadics -- The inverse dyadic -- Dyadic square roots -- Field equations -- The Maxwell equations -- Operator equations -- Medium equations -- Wave equations -- Fourier transformations -- Fourier transformation in time -- Fourier transformation in space -- Electromagnetic potentials -- Vector and scalar potentials -- The Hertz vector -- Scalar Hertz potentials -- Boundary, interface and sheet conditions -- Discontinuities in fields, sources and media -- Boundary conditions -- Interface conditions -- Sheet conditions -- Boundary and sheet impedance operators -- Uniqueness -- Electrostatic problem -- Scalar electromagnetic problem -- Vector electromagnetic problem -- Conditions for medium parameters -- Energy conditions -- Reciprocity conditions -- Field transformations -- Reversal transformations |
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Polarity reversal -- Time reversal -- Space inversion -- Transformations of power and impedance -- Duality transformations -- Simple duality -- Duality transformations for isotropic media -- Left-hand and right-hand transformations -- Application of the duality transformations -- Self-dual problems -- Self-dual field decomposition -- Duality transformations for bi-isotropic media -- Affine transformations -- Transformation of fields and sources -- Transformation of media -- Involutory affine transformations -- Reflection transformations -- Invariance of media -- Electric and magnetic reflections -- The mirror image principle -- Images in parallel planes -- Babinet's principle -- Electromagnetic field solutions -- The Green function -- Green dyadics of polynomial operators -- Examples of operators -- Green functions for homogeneous media -- Isotropic medium -- Bi-isotropic medium -- Anisotropic medium -- Special Green functions -- Two-dimensional Green function -- One-dimensional Green function -- Half-space Green function -- Singularity of the Green dyadic -- Constant volume current -- Constant planar current sheet -- Singularity for a volume source -- Singularity for a surface source -- Complex source point Green function -- Complex distance function -- Point source in complex space -- Green function -- Plane waves -- Dispersion equations -- Isotropic medium -- Bi-isotropic medium -- Anisotropic medium -- Source equivalence -- Non-radiating sources -- Electric sources in isotropic medium |
| Summary |
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 Wave Propagation 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 |
| Analysis |
Electromagnetic radiation Analysis |
| Bibliography |
Includes bibliographical references and indexes |
| Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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Print version record |
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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Subject |
Electromagnetic fields -- Mathematics
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Dyadic analysis (Social sciences)
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Dyadic analysis (Social sciences)
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Electromagnetic fields -- Mathematics
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Elektromagnetisches Feld
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Mathematische Methode
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Champs électromagnétiques.
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Théorie électromagnétique.
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| Form |
Electronic book
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| ISBN |
9780470545249 |
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0470545240 |
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