Relation of magnetism and electricity beyond Faraday-Maxwell electrodynamics

A comparison has been performed between the Landau-Dzyaloshinskii-Astrov magnetoelectric effects and the electromagnetic effects caused by the electromagnetic Faraday induction and Maxwell displacement currents. The requirement for the spontaneous violation of symmetry relative to space inversion and time reversion is formulated as the condition for the existence of magnetoelectric effects. An analysis is performed of some results obtained by E.A. Turov both personally and in association with colleagues, which made a significant contribution to the development of the science of magnetoelectricity. These results include the development of the scheme of a simplified symmetry analysis for describing collinear spin structures; the use of this scheme for the invariant expansion of thermodynamic potentials for the magnetic materials with different types of magnetic ordering; the formulation of the microscopic model of magnetoelectricity with the use of the relation between spins and electroactive optical phonons; the study of the phenomena of the enhancement of magnetoelectric effects upon the magnetic resonance; the analysis of the opportunities of electrodipole excitation and of the detection of different signals of magnetic resonance; and the study of the manifestations of magnetoelectric effects in magnetoacoustics and optics.