edited by Terence W Barrett (BSEI, USA) & Dale M Grimes (Pennsylvania State Univ., USA)

Advanced Electromagnetism: Foundations, Theory and Applications treats what is conventionally called electromagnetism or Maxwell's theory within the context of gauge theory or Yang-Mills theory. A major theme of this book is that fields are not stand-alone entities but are defined by their boundary conditions. The book has practical relevance to efficient antenna design, the understanding of forces and stresses in high energy pulses, ring laser gyros, high speed computer logic elements, efficient transfer of power, parametric conversion, and many other devices and systems. Conventional electromagnetism is shown to be an underdeveloped, rather than a completely developed, field of endeavor, with major challenges in development still to be met.

• Foundations
  • : Gauge Theories, and Beyond (R Aldrovandi)
  • Helicity and Electromagnetic Field Topology (G E Marsh)
  • Electromagnetic Gauge as Integration Condition: Einstein's Mass-Energy Equivalence Law and Action-Reaction Opposition (O C de Beauregard)
  • The Symmetry Between Electricity and Magnetism and the Problem of the Existence of a Magnetic Monopole (G Lochak)
  • Quantization as a Wave Effect (P Cornille)
  • Twistors in Field Theory (J Frauendiener & S-T Tsou)
  • Foundational Electrodynamics and Beltrami Vector Fields (D Reed)
  • A Classical Field Theory Explanation of Photons (D M Grimes and C A Grimes)
  • Sagnac Effect: A Consequence of Conservation of Action Due to Gauge Field Global Conformal Invariance in a Multiply-Joined Topology of Coherent Fields (T W Barrett)
  • Gravitation as a Fourth Order Electromagnetic Effect (A K T Assis)
  • Hertzian Invariant Forms of Electromagnetism (T E Phipps Jr)
• Theory:
  • Pancharatnam's Phase in Polarization Optics (W Dultz & S Klein)
  • Frequency-Dependent Dyadic Green Functions for Bianisotropic Media (W S Weiglhofer)
  • Covariances and Invariances of the Maxwell Postulates (A Lakhtakia)
  • Solitons and Chaos in Periodic Nonlinear Optical Media and Lasers (J-H Feng & F K Kneubühl)
  • The Balance Equations of Energy and Momentum in Classical Electrodynamics (J L Jiménez & I Campos)
  • Non-Abelian Stokes Theorem (B Broda)
  • Extension of Ohm's Law to Electric and Magnetic Dipole Currents (H F Harmuth)
  • Relativistic Implications in Electromagnetic Field Theory (M Sachs)
  • Symmetries, Conservation Laws, and Maxwell's Equations (J Pohjanpelto)
• Applications:
  • Six Experiments with Magnetic Charge (V F Mikhailov)
  • Ampère Force: Experimental Tests (R Saumont)
  • The Newtonian Electrodynamics and Its Experimental Foundation (P Graneau)
  • Localized Waves and Limited Diffraction Beams (M R Palmer)
  • Analytical and Numerical Methods for Evaluating Electromagnetic Field Integrals Associated with Current-Carrying Wire Antennas (D H Werner)
  • Transmission and Reception of Power by Antennas (D M Grimes & C A Grimes)