IEEE Transactions On Antennas And Propagation, vol.70, pp.1, 2022 (Journal Indexed in SCI)
Hertz-Heaviside Field Equations (HHFE) that formulate electrodynamics of
bodies in arbitrary motion are studied in the sense of Schwartz-Sobolev
distributions. HHFE can be interpreted as a generalization of Maxwell’s
equations of stationary media by introducing convective
electric/magnetic conduction and displacement current sources. The
investigation starts with a short review of the required distributional
tools for volumetric and nonvolumetric (surface, space curve and point
type) singularities in arbitrary motion. The boundary relations on the
enclosure of a volumetric body with arbitrary constitutive parameters
and velocity field are obtained as observed in the stationary reference
frame. Degenerate Hertz-Heaviside Field Equations (DHHFE) which appear
in presence of nonvolumetric moving media are introduced. This is
followed by systematic distributional investigations of DHHFE which
reveal boundary, edge and tip conditions on point, surface and space
curve type sources in arbitrary motion as observed in the stationary
reference frame.