A. E. Mudrov

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.

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.

Natural waves in azimuthally magnetized bigyrotropic medium I. The general case

A study is made of natural electromagnetic waves in media whose permittivity and magnetic permeability are described by complex tensors of the second rank. In the general case, the analytic solution obtained for the Maxwell equations constitutes a linear combination of four solutions of one type in the form of generalized series expansion.

Circular waveguide with azimuthally magnetized. Gyrotropic medium

An equation has been derived for determining propagation constants in a circular waveguide with azimuthally magnetized bigyrotropic filling. A computer was used to study the dispersion properties, electromagnetic field structure, and distribution of the components of the Poynting vector over the waveguide cross section in the case of a ferrite filling described by a permeability tensor with unequal diagonal components.

Electromagnetic oscillations in a rectangular waveguide with a transversely magnetized ferrite plate

The complex propagation constant in a rectangular waveguide with a transversely magnetized ferrite plate has been found by a numerical calculation. The magnetic properties of the ferrite medium are described by the standard permeability tensor for a polycrystalline ferrite, having real and imaginary parts. The solutions are given as curves on the complex propagation-constant plane. The parameter is the relative magnetizing field, which varies over a wide range including a ferromagnetic resonance. From the family of curves obtained for various relative magnetizations and damping parameters, one can quantitatively evaluate the relation between the types of oscillations. This relation depends on the position of the ferrite plate in the waveguide and on the dielectric constant of the ferrite as well as on the magnetization and damping constant.