Propagation of electromagnetic waves in anisotropic magnetoelectric medium

Abstract

In the article we consider porpagation and interaction of electromagnetic waves of different polarization, in anisotropic medium that is inhomogeneous along the Z axis with magnetoelectric effect of tetragonal, trigonal, and hexagonal symmetries are described by the structure of the matrix coefficients. The matricant structure of the original system of equations follows from the structure of coefficient matrix. In unlimited periodic structures, dispersion relations of electromagnetic waves are determined from the new modified conditions for the existence of non-trivial solutions which are the consequence of the matricant structure. Obvious analitical form of the matricants for the homogeneous anisotropic dielectric medium with magnetoelectric effects follows from the matricant structure. Analytical equations for homogeneous anisotropic medium with magnetoelectric effects allow one, in matrix setting, to obtain analytical solutions for the problem of reflection and refraction on the border of isotropic and anisotropic medium with magnetoelectric effect based on the matricant method. Initial relationships that describe electromagnetic wave propagation in anisotropic magnetoelectric medium are reduced to the system of linear homogeneous first order differential equations. The structure of the matricant is obtained. Dispersion equations of electromagnetic waves in periodic inhomogeneous medium with magnetoelectric effects are constructed. Averaged matricant describing the propagation of electromagnetic waves in homogeneous anisotropic medium with magnetoelectric medium are also constructed. Besides, the graphs of energy reflection coefficient of TE and TM electromagnetic waves and incident angle are plotted.

Об Энергетических Коэффициентах Отражения Электромагнитных Те И Тм Волн На Границе Анизотропных Сред Ромбической Сингонии

“…Методом матрицанта [1] проводятся теоретические исследования упругих волн [2,3], электромагнитных волн в анизотропных средах [4,5,6], а также волновые процессы в пьезоэлектрических, пьезомагнитных [7], магнитоэлектрических [8,9] Уравнение (1) в матричном виде…”

Propagation of electromagnetic waves in stationary anisotropic media

“…In uniaxial materials with epsilon(1)=epsilon(2), mu(1)=mu(2), analytical expressions are obtained for the components of two harmonic plane waves propagating with different refractive indexes [11]. Based on the method matriciant [12] EM wave propagation in elastic, thermoelastic anisotropic, anisotropic dielectric media, in anisotropic plates, and with magnetoelectric effect have been investigated [13][14][15][16]. The matriciant method is also employed to investigate propagation of spin waves, the waves in liquid crystals and wave propagation in thermoelastic media [17][18][19].…”

Propagation of Electromagnetic Waves in Cholesteric Liquid Crystals

“…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].…”