V. A. Meshcheryakov

SPECIAL FEATURES OF ELECTROMAGNETIC WAVE PROPAGATION IN A TWO-LAYERED CYLINDRICAL WAVEGUIDE WITH RIGHT- AND LEFT-HANDED MEDIA. PART 2

Results of computer modeling of the coefficients of waveguide mode propagation in a two-layered circular screened waveguide are presented. The waveguide center is filled with the medium having a negative refractive index. The results presented here suggest that frequency transparency windows, complex waves, waves with anomalous dispersion, and waves with significant slowdown of the phase velocity exist in such waveguides.

Eigenwaves in an inhomogeneous azimuthally bigyrotropic medium

The problem of natural electromagnetic waves in an azimuthally magnetized bigyrotropic medium which is inhomogeneous in the radial direction is solved analytically. A system of generalized wave equations is obtained in the longitudinal components of the electrical and magnetic fields. Particular solutions of the system are represented in the form of generalized power series. The series exponents are determined and recursion formulas are built up for calculating their coefficients. The passage to particular cases of a homogeneous gyrotropic and inhomogeneous isotropic medium is realized, and the results are compared with known data from the literature.

Magnetic susceptibility tensor of the composite material consisting of single-domain magnetic particles with uniaxial magnetic anisotropy

Using the Smit - Suhl method, we have calculated the magnetic susceptibility tensor of magnetized ferromagnetic media with the uniaxial magnetocrystalline anisotropy. An analysis of the obtained formulas in the particular cases of a composite material with randomly oriented ferromagnetic inclusions of ellipsoidal shape has been carried out.

Modeling of electromagnetic waves in cylindrical three-layers waveguide with metamaterial layer

The present paper concerns the results of coefficients modeling by propagation wave guides modes of cylindrical tree-layer waveguide. Medium layer LHM (Left-Handed-Medium) is a metamaterial with a negative index of refraction. The presented results allow making a conclusion about the existence of waves with a significant delay of phase velocity in such waveguides.

Magnetic field influence on the spectrum of magnetic permeability of composite material containing single domain uniaxial magnetic particles

The calculation of the frequency dependence of the permeability tensor components of composite materials containing ferromagnetic magnetouniaxial particles is carried out. The possibility of controlling losses by changing the magnitude of the magnetizing field is also shown.

Modeling of the energy flux density in a circular waveguide with a layer of metamaterial

In this work the results of modeling the Poynting vector for propagation waveguide mode HEn in the cylindrical three-layer waveguide are presented. The medium layer is LHM (Left-Handed-Medium), the metamaterial with negative index of refraction. In the course of computer modeling, different variants of relationship between the thicknesses of the internal dielectric core made from the left-handed material have been studied. In a waveguide the inversion of the azimuthal and longitudinal components of the Poynting vector is observed.

Method of Normal Modes for Modeling of the Electromagnetic Processes in Waveguide Structures Filled with Bi-Isotropic Media

A problem of normal electromagnetic oscillation modes in a rectangular waveguide with bi-isotropic inclusions having rectangular cross sections is formulated and solved. Analytical expressions for virtual currents caused by the presence of inclusions are derived by the method of natural modes. For isotropic inclusions, the convergence of the propagation constant of the principal mode, calculated by the method of normal modes, to its exact value is demonstrated with increasing number of basic functions.

Natural waves in an azimuthally magnetized bigyrotropic medium. III

An asymptotic solution has been obtained for the system of generalized wave functions of an electromagnetic field in an azimuthally bigyrotropic medium in the proximity of an irregular singular point. The characteristic values and exponents have been determined and recurrence formulas have been established for the coefficients of formal series and the solutions found are presented in terms of the partial sums of the decreasing terms of the series. We consider the passages to the limit of characteristic particular cases. The results are given of a comparison of the calculation of one asymptotic solution and the corresponding regular solution. Together with the regular solutions, the relations established enable model investigations to be carried out on wave processes in media and oscillatory systems with an azimuthal double gyrotropy over a wide range of their parameters.

Multilayer gyrotropic waveguide structures with azimuthal magnetization

An algorithm to obtain the dispersion equation and to determine the field configuration in the case of an arbitrary number of layers is developed by the successive joining of tangential components of the eigenwave electromagnetic field of a regular waveguide with concentric azimuthally magnetized gyrotropic layers. The electrical and magnetic field components in each layer are represented in the form of a linear combination of four particular analytic solutions of the system of generalized wave equations. By using an electronic computer the phase and dissipation characteristics of circular and coaxial waveguides with azimuthally magnetized ferrite-dielectric layers are computed for variations in their material and geometric parameters.

Intrinsic waves in an azimuthally magnetized bigyrotropic medium

Singularities in the construction of solutions of Maxwells equations are investigated for azimuthally magnetized bigyrotropic media as a function of the relationships between the dielectric and magnetic permeability tensor components describing these media. The results obtained are applicable to the description of different kinds of intrinsic electromagnetic waves, including the axisymmetric. The relation between the solutions investigated and known special functions is established in a number of particular cases.