Surfacial Electrodynamics. Part I. Description of Surfacial Electric and Magnetic Fields at A Dividing Surface in A Deformable Body by considering Its Electric and Magnetic Quadrupole Distributions

Abstract

The treatment based on the general principles of continuums physics is carried out on a deformable, electrically Polarizable and magnetizable boundary surface in a body, where the effects of the electric and magnetic quadrupole distributions are included. It is motivated by the classical point charge model and is restricted to nonrelativistic phenomena. The boundary surface with a thickness of a few Å bearing fhermomechanical quantities and modelling as a curved non-material singular surface is shown to possess surfacial electric and magnetic quantities. These are introduced through electrostatic as well as magnetostatic considerations in agreement with the derived general structure of balance equations of flux on a non-material singular surface in A. Sadiki and K. Hutter [1]. The development provides integral forms of the Gauss’ law and the conservation law of surfacial magnetic induction field as well as proper boundary conditions (transversality conditions) at the interface for the involving surfacial fields. Local differential forms of these laws are also derived. According to [5] and [23], it appears that electric and/or magnetic quadrupole moments are important ingredients of a complete formulation of surfacial electromagnetics.

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