General dynamic equations of electromagnetomechanics for dielectrics and piezoelectrics

Abstract

A new principle is proposed for constructing a theory of dynamic coupled electromagnetomechanical processes in dielectrics and piezoelectrics. It is based on the purely mechanical two-continuum description of the deformation of dielectrics as a mixture of neutral molecules each formed of bound positive and negative charges. Based on the definition of a polarization vector and associated electric field, the mechanics equations are transformed into coupled equations for the displacements of neutral molecules and electric-field strength. These equations, invariant under the Galilean transformation, describe longitudinal electric and transverse electromagnetic dispersed waves in moving dielectrics as well as coupled acoustic and electromagnetic waves in dielectrics and piezoelectrics. From these equations Maxwell’s equations and the acoustic approximation in electroelasticity for piezoelectrics follow as particular cases. Under this theory, the ether is modeled as a dielectric that is a nearly perfect fluid in which heavenly bodies freely move and transverse electromagnetic waves propagate as mutual displacements of the positive and negative charges of neutral particles that form the ether. Such a model makes it possible to uniquely explain, within the framework of classical physics, the fundamental experiments due to Fizeau, Michelson, Miller, and Galaev, stellar aberration, and the rotational experiments, which point to the fact that the ether exists