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

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

1 Multivectors and Multiforms 111.1 Vectors and one-forms 111.2 Bivectors and two-forms 131.3 Multivectors and multiforms 171.4 Some properties of bivectors and two-forms 232 Dyadics 292.1 Mapping vectors and one-forms 292.2 Mapping multivectors and multiforms 322.3 Dyadic identities 382.4 Rank of dyadic 442.5 Eigenproblems 462.6 Metric dyadic 503 Bidyadics 573.1 Cayley-Hamilton equation 583.2 Bidyadic eigenproblem 623.3 Hehl-Obukhov decomposition 643.4 Example: simple antisymmetric bidyadic 663.5 Inverse rules for bidyadics 684 Special Dyadics and Bidyadics 794.1 Orthogonality conditions 794.2 Nilpotent dyadics and bidyadics 814.3 Projection dyadics and bidyadics 824.4 Unipotent dyadics and bidyadics 854.5 Almost-complex (AC) dyadic 864.6 Almost-complex bidyadics 904.7 Modified closure relation 915 Electromagnetic Fields 995.1 Field equations 995.2 Medium equations 1035.3 Basic classes of media 1075.4 Interfaces and boundaries 1125.5 Power and energy 1175.6 Plane waves 1226 Transformation of Fields and Media 1336.1 A_ne transformation 1336.2 Duality transformation 1376.3 Transformation of boundary conditions 1416.4 Reciprocity transformation 1436.5 Conformal transformation 1487 Basic Classes of Electromagnetic Media 1577.1 Gibbsian isotropy 1577.2 The axion medium 1657.3 Skewon-axion media 1687.4 Extended skewon-axion media 1778 Quadratic Media 1818.1 P media and Q media 1818.2 Transformations 1838.3 Spatial expansions 1848.4 Plane waves 1888.5 P-axion and Q-axion media 1918.6 Extended Q media 1938.7 Extended P media 1999 Media Defined by Bidyadic Equations 2059.1 Quadratic equation 2069.2 Cubic equation 2149.3 Bi-quadratic equation 21810 Media Defined by Plane-Wave Properties 22510.1 Media with no dispersion equation (NDE media) 22510.2 Decomposable media (DC media) 233A Solutions to Problems 253B Transformation to Gibbsian Formalism 339C Multivector and Dyadic Identities 343