electromagnetics.abdphysics.org

Multiforms, Dyadics, and Electromagnetic Media

  • Multivectors and Multiforms
    • Vectors and One-Forms
      • Bar Product
      • Basis Expansions
    • Bivectors and Two-Forms
      • Wedge Product ∧ 3
      • Basis Expansions
      • Bar Product
      • Contraction Products ⌋ and ⌊
      • Decomposition of Vectors and One-Forms
    • Multivectors and Multiforms,
      • Basis of Multivectors
      • Bar Product of Multivectors and Multiforms
      • Contraction of Trivectors and Three-Forms
      • Contraction of Quadrivectors and Four-Forms
      • Construction of Reciprocal Basis
      • Contraction of Quintivector
      • Generalized Bac-Cab Rules
    • Some Properties of Bivectors and Two-Forms
      • Bivector Invariant
      • Natural Dot Product
      • Bivector as Mapping
  • Dyadics
  • Bidyadics
  • Special Dyadics and Bidyadics
  • Electromagnetic Fields
  • Transformation of Fields and Media
  • Basic Classes of Electromagnetic Media
  • Quadratic Media
  • Media Defined by Bidyadic Equations
  • Media Defined by Plane-Wave Properties