electromagnetics.abdphysics.org

METHODS FOR ELECTROMAGNETIC FIELD ANALYSIS

  • Complex vectors
    • Notation
    • Complex vector identities
    • Parallel and perpendicular vectors
    • Axial representation
    • Polarization vectors
    • Complex vector bases
  • Dyadics
    • Notation
    • Dyadics as linear mappings
    • Products of dyadics
    • Invariants and inverses
    • Solving dyadic equations
    • The eigenvalue problem
    • Hermitian and positive definite dyadics
    • Special dyadics
    • Two-dimensional dyadics
  • Field equations
    • The Maxwell equations
    • Fourier transformations
    • Electromagnetic potentials
    • Boundary, interface and sheet conditions
    • Uniqueness
    • Conditions for medium parameters
  • Field transformations
    • Reversal transformations
    • Duality transformations
    • Affine transformations
    • Reflection transformations
  • Electromagnetic field solutions
    • The Green function
    • Green functions for homogeneous media
    • Special Green functions
    • Singularity of the Green dyadic
    • Complex source point Green function
    • Plane waves
  • Source equivalence
    • Non-radiating sources
    • Equivalent electric and magnetic sources
    • Multipole sources
    • Huygens’ sources
    • TE/TM decomposition of sources
  • Exact image theory
    • General formulation for layered media
    • Surface problems
    • The Sommerfeld half-space problem
    • Microstrip geometry
  • Appendix A Problems
  • Appendix B Solutions
  • Appendix C Vector formulas
  • Appendix D Dyadic identities