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

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

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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.


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