Lindell I.V. Multiforms, Dyadics, and Electromagnetic Media

The Institute of Electrical and Electronics Engineers, Inc., USA, John Wiley & Sons, Inc., Hoboken, New Jersey, 2015. – 416 p. – ISBN: 978-1-118-98933-3.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. 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.Multivectors and Multiforms
Vectors and One-Forms
Bivectors and Two-Forms
Multivectors and Multiforms
Some Properties of Bivectors and Two-Forms
Dyadics
Mapping Multivectors and Multiforms
Dyadic Identities
Rank of Dyadics
Eigenproblems
Metric Dyadics
Bidyadics
Cayley–Hamilton Equation
Bidyadic Eigenproblem
Hehl–Obukhov Decomposition
Example: Simple Antisymmetric Bidyadic
Inverse Rules for Bidyadics
Special Dyadics and Bidyadics
Orthogonality Conditions
Nilpotent Dyadics and Bidyadics
Projection Dyadics and Bidyadics
Unipotent Dyadics and Bidyadics
Almost-Complex Dyadics
Almost-Complex Bidyadics
Modified Closure Relation
Electromagnetic Fields
Field Equations
Medium Equations
Basic Classes of Media
Interfaces and Boundaries
Power and Energy
Plane Waves
Transformation of Fields and Media
Affine Transformation
Duality Transformation
Transformation of Boundary Conditions
Reciprocity Transformation
Conformal Transformation
Basic Classes of Electromagnetic Media
Gibbsian Isotropy
The Axion Medium
Skewon–Axion Media
Extended Skewon–Axion Media
Problems
Quadratic Media
P Media and Q Media
Transformations
Spatial Expansions
Plane Waves
P-Axion and Q-Axion Media
Extended Q Media
Extended P Media
Media Defined by Bidyadic Equations
Quadratic Equation
Cubic Equation
Bi-Quadratic Equation
Media Defined by Plane-Wave Properties
Media with No Dispersion Equation (NDE Media)