Title: Toward a more complete electrodynamic theory

Authors: L.M. Hively; G.C. Giakos

Addresses: Computational Sciences and Engineering Division, Oak Ridge National Laboratory, 37831-6418, TN Oak Ridge, USA ' Department of Electrical and Computer Engineering, The University of Akron, Akron, 44325 OH, USA

Abstract: Maxwell's equations require a gauge condition for specific solutions. This incompleteness motivates use of a dynamical quantity, ξ=−∇•A − εμ ∂φ/∂t. Here, A and φ are the vector and scalar potentials, with permeability and permittivity, ε and μ respectively. The results are: relativistic covariance; classical wave solutions; elimination of inconsistency between the media-interface matching for φ and for Gauss' law; independent determination of A and φ; prediction of two new waves, one being a charge-fluctuation-driven scalar wave, having energy but not momentum; a second longitudinal-electric wave with energy and momentum; experimental suggestions.

Keywords: electrodynamics; electromagnetics; LEW; longitudinal electric waves; scalar waves; electrodynamic theory.

DOI: 10.1504/IJSISE.2012.046745

International Journal of Signal and Imaging Systems Engineering, 2012 Vol.5 No.1, pp.3 - 10

Published online: 31 Dec 2014 *

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