The solution of the boundary value problem of electromagnetic wave transmission through an anisotropic layered structure placed in a rectangular waveguide is presented. The main axes of the crystallographic system of the layers are oriented parallel to the edges of the waveguide. For transmission through a single slab, the resulting scattering matrix elements S 11 and S 21 are transformed to the form known from the Nicolson-Ross-Weir model. This gives the possibility of using this model to retrieve complex material parameters (components of the permittivity and permeability tensors).

In the paper a phenomenological approach is proposed to polarized electromagnetic wave propagation in magnetodielectric media, composed of piezoelectric and magnetostrictive anisotropic monolayers. The composite materials consisting of a system of such bimorph films have recently attracted much interest, because they can exhibit a much stronger magnetoelectric effect in a wide temperature range than the single phase multiferroic materials. In the paper dispersion equations given in a common form for both TE and TM modes are derived for long wave approximation. The equations can be of use in evaluation of directional dependence for particular polarizations, which is of particular interest in designing substrate for miniaturized polarimetric antenna, especially useful for modern synthetic aperture radar systems.

In the paper we consider propagation of a monochromatic surface electromagnetic field at the interface separating two semi-infinite media -a metamaterial (generally with complex permittivity and permeability) and a conventional dielectric medium. The metamaterial is treated as homogeneous and isotropic (it is so-called effective medium approximation). It is true for e.g. artificial metamaterials with negative dielectric permittivity and negative permeability in the microwave frequency range. The last materials are known as left handed and a conventional as right handed media. In this work the classical optical theorem is extended to the case of scattering of electromagnetic surface waves incident at the interface separating a left handed medium and a right handed dielectric medium. The analogous theorem is known in the scattering theory for elastic fields.

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