Abstract-Here we present the rigorous electrodynamical solution of diffraction problem about the microwave scattering by a multilayered cylinder. The number and thickness of layers is not limited. We offer the solution when the central core of multilayered cylinder can be made of different isotropic materials as a metamaterial, a ceramic matter or a semiconductor as well as of a perfect metal. The isotropic coated layers can be of strongly lossy materials. The signs of the complex permittivity and complex permeability can be negative or positive in different combinations. Here we present dependencies of the scattered power of the incident perpendicularly and parallel polarized microwaves by the metamaterial-glass cylinder on signs of metamaterial permittivity as well as permeability. The glass layer absorbed power and metamaterial core absorbed power dependent on the hypothetic metamaterial permittivity and permeability signs at the wide range frequencies 1-120 GHz are also presented here. The metamaterial core of cylinder has a radius equal to 0.0018 m and the thickness of the coated acrylic-glass layer is 0.0002 m. We have found some conditions when the scattered-power has minimal values and the absorbed power by the coated acrylic glass layer is constant in a very wide frequency range. We have discovered that the glass layer absorbed power increases with increasing of the frequency at the range 1-120 GHz for both microwave polarizations.

Abstract-Here we present the rigorous electrodynamical solution of microwave scattering by a multilayered electrically or (and) magnetically anisotropic circular cylinder. The number and thickness of layers may be arbitrary. We present the solution when all area of multilayered cylinder can be made of different uniaxial anisotropic or isotropic materials. The multilayered cylinder media can be of strongly lossy materials. The signs of the complex permittivity and permeability tensor components can be positive or negative in different combinations. Here we present the numerical dependencies of the Poynting vector radial component P ρ that is responsible for the scattered and absorbed powers when the incident microwave impinges on the anisotropic Lithium Niobate (LiNbO 3 ) cylinder as well as on two single isotropic cylinders. The permittivity tensor components of the anisotropic cylinder are ε t = 43 − i0.0005, ε p = 28 − i0.0005 as well as for the isotropic cylinders the permittivities are ε t = ε p = 43 − i0.0005 and ε t = ε p = 28 − i0.0005. We show here the pattern of the value P ρ inside and outside of the LiNbO 3 and two isotropic cylinders when the polar angle ϕ changes from 0 to 360 degrees with the step equal to one degree. We present here our calculations when the incident microwave has perpendicular or parallel polarization at Bucinskas, Nickelson, and Sugurovas three frequencies 65 GHz, 92.5 GHz and 120 GHz. We found that the values P ρ for the anisotropic cylinder have the opposite behavior of dependencies on the permittivity tensor components for the incident microwaves of different polarizations.

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