Mathematical formulation for transparency and maximum scattering from bilayer MTM-coated PEC cylinders

摘要

In this paper, a novel formulation interval to design multilayer metamaterial (MTM) radar absorbers and shields in cylindrical structure is presented. In this proposed approach, the interaction of electromagnetic waves by an infinitely long perfect conducting cylinder coated with bilayer MTM is investigated. Transparency and maximum scattering conditions for the structure, under a normally uniform plane wave with transverse electric, transverse magnetic and circular polarizations, are mathematically extracted by using small argument forms of Bessel and Hankel functions. In transparency, the capability of radars is dissipated by the full transmission of the incident waves back to the direction from which they were radiated. On the other hand, scattering maximization by diffuse reflection and making chaff, confuses the radars in target detection. Theoretical formulations are verified by COMSOL which is full wave software. However, our formulations are proved for electrically small cylinders, but simulation results show that they are useful for cylinders with dimensions compared to the wavelength.