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To the theory of electromagnetic waves in gradient structures with chiral meta-environment

Abstract

To the theory of electromagnetic waves in gradient structures with chiral meta-environment

Rudenok I.P., Kireeva A.I.

Incoming article date: 21.09.2018

We investigated the process of propagation of the surface waves in the chiral meta-spectrum with gradient dielectric, magnetic and magnetoelectric permittivities in our work. We have found a condition for the existence of nonclassical plane electromagnetic waves in it. We have proved that the dispersion equation for the gradient chiral medium leads to four roots for the normalized wave vector. Thus, in this artificial environment, as in a homogeneous chiral medium, in general, four waves can propagate, differing in the direction of propagation. We took into account an anomalous propagation of waves in such an environment, when there can be more or less than two counter modes. So, we solved the most important mathematical problems of uncertainty or lack of solution (an unusual combination of signs of the transverse and longitudinal components of the wave vector) in our decision. Dependences of the component of the normalized propagation vector on the chirality parameter of the meta-environment and the components of the normalized wave vector on the parameters of the gradient of the spatial profiles of the material characteristics of the artificial medium were obtained.

Keywords: gradient chiral meta-medium, compositional structure, plane electromagnetic waves, gradient tensors of material characteristics, normalized wave vector