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The method of Green's functions of layered cylindrical magnetodielectric structures with arbitrary extraneous electric and magnetic currents using an equivalent lines approach is briefly described. Transmitting matrices and different kind of loads are used for a layered structure and space boundaries modelling. Equivalent voltages and currents in a modelled circuit are associated with spectral field components. Field problem is substituted for the equivalent circuit problem. Suggested method with transmitting matrices allows to produce universal algorithms with mutual parts for wave propagation, antennas radiation and scattering problems with cylindrical structures of any number of layers, arbitrary permittivity and permeability. Both positive and negative refraction indexes of materials may be taken into account. The problem of cover design aimed at minimum reflection of electromagnetic waves to a radar direction is analysed. Scattering problem for conducting cylinder covered with metamaterials is discussed. Normalized scattering cross sections and scattering patterns are shown. Influence of losses in cover layers is evaluated.

A leaky-wave antenna based on a rectangular waveguide with partially dielectric filling and transverse slots is investigated. A velocity factor dependencies for uniform filling and different slot lengths are presented. Also, dielectric layer thickness variations are considered. The influence of the dielectric layer position in the waveguide on the antenna characteristics is estimated. The radiation pattern is analyzed. A pattern tilt angle, an optimal antenna length and a first null beamwidth are defined.

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