Propagation of electromagnetic waves in stationary anisotropic media

Abstract

In this paper we have investigated the fundamental properties of the solutions of Maxwell’s equations describing free electromagnetic waves in stationary anisotropic media, with tensor characteristics along the Z axis. A matrix of coefficients, the structure of the matrix of Maxwell’s equations, dispersion equations and indicatrix curves for a transparent anisotropic one-dimensional inhomogeneous conductive medium have been obtained. Exact analytical solutions in case of homogeneous anisotropic media are constructed on the basis of the matrix structure.

Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter

“…where and µ represent the electric permittivity and magnetic permeability tensors [7,[12][13][14][15], respectively. The tensor γ measures the magnetic contribution to the electric displacement field D, while γ represents the electric contribution to the magnetic field H. Regarding the structure of constitutive relations (1a) and (1b), interesting scenarios of electromagnetic behavior may occur, e.g., in anisotropic media [4][5][6][7][12][13][14][15], Weyl semimetals [8,9,72], magnetized ferrites [10,11], and in chiral media and topological insulators [18][19][20]. Besides Eq.…”

“…Such an effect is represented, for example, by Figs. (5) and (6), where the graphs indicate that Im[n(ω)] = 0 in the absorption range ω − < ω < ω + , with ω ± given in Eq. ( 75).…”

“…More involved constitutive relations appear in two main scenarios: (i) anisotropic media, where electric permittivity and magnetic permeability become tensors (cf. uniaxial and biaxial crystals [3][4][5][6][7], Weyl semimetals [8,9], and magnetized materials [10,11]); (ii) novel effects in matter described by extended constitutive relations that introduce additional electric and magnetic responses, encoded as linear functions of the type D = D(E, B) and H = H(E, B), in general. This happens, for instance, in bi-isotropic media [12][13][14][15], chiral materials [16], topolog-ical insulators [17][18][19][20][21][22], relativistic electron gases [23], axion electrodynamics [24][25][26], and Lorentz-violating electrodynamics [27,28], as well.…”

Propagation of Electromagnetic Waves in Cholesteric Liquid Crystals

“…The matrix of the coefficients   0 1 h B B Z dZ h   (16) has been introduced into this relationship, where   B Z is given by Eq. ( 14), the matrix p in the second approximation is defined by the formula…”

“…It was shown that these SEV are effectively generated by the attenuated total reflection method. Processes in elastic anisotropic and anisotropic dielectric media and propagation of waves in anisotropic plates, electromagnetic waves in media with magnetoelectric effect [14][15][16][17], and waves in liquid crystals and thermoelastic media [18][19][20] were considered in [13] using the matricant method. Results of uniform description of wave processes in media with different physicomechanical properties were reported at the XVth All-Russian School-Seminar "Physics and Application of Microwaves" named after A. P. Sukhorukov (Waves-2016) [21].…”