ABSTRACT
An advantage of the multipole theory is that the equivalence of the regular and irregular structures is obtained automatically. Magnetic multipoles reflect the curvature of the polarization current lines and the out- of-phase distribution of the polarization current oscillations. Electric multipoles reflect the density of the polarization current lines and the non-uniformity of this density. Macroscopic multipole densities are spread microscopic multipoles and since the local and mean field are uniquely related, they can be related to the non-uniform mean electric field. In media with multipole polarization, the polarization current can be presented through the spatial derivatives of the macroscopic multipole moment densities. The Lorentzian frequency dispersion of the microscopic parameters results in the Lorentzian frequency dispersion of the macroscopic parameters. As well as in the media with spatial dispersion of the first order, the Maxwell-Garnett model for such multipolar media keeps the frequency dispersion of the effective material parameters Lorentzian if the dispersion of the multipole polarizabilities is Lorentzian.
