Analytical solution of scattering by a DB/D′B′ cylinder coated with multilayer anisotropic media for cloaking applications

In this study, analytical solution of plane wave scattering is presented by a circular DB/D´B´ cylinder coated with multilayer anisotropic media. The relative permittivity and permeability tensors of each layer, when referring to principle axes (ρ, φ, z), are biaxial and diagonal; so, the radial eigenfunctions are complex ordered Bessel´s functions. In order to compare different boundary conditions and cloaks, scattering width is calculated in some examples. Theory and simulation results show that scattering width of the circular DB (or D´B´) cylinder coated with Cloak I (or Cloak II) has the same value in both TM_z and TE_z polarisations. Furthermore, it is demonstrated that the DB boundary condition and Cloak I have good performance in the invisibility of cylindrical structures, which may provide a potential way to design a dual polarised cloak.