Analysis of Uniaxial Multilayer Cylinders Used for Invisible Cloak Realization

• Published in: IEEE transactions on antennas and propagation 2009-05, Vol.57 (5), p.1521-1527
• Main Authors: Ivsic, B., Sipus, Z., Hrabar, S.
• Format: Article
• Language: English
• Subjects: Algorithm design and analysis; Applied classical electromagnetism; Applied sciences; Approximation; Cylinders; Diffraction, scattering, reflection; Dispersions; Electromagnetic propagation in anisotropic media; electromagnetic propagation in dispersive media; Electromagnetic scattering; electromagnetic scattering by anisotropic media; electromagnetic scattering by dispersive media; Electromagnetic wave propagation, radiowave propagation; Electromagnetism; electron and ion optics; Exact sciences and technology; Filling; Frequency; Fundamental areas of phenomenology (including applications); Green's function methods; Mathematical analysis; Metamaterials; Modal analysis; Multilayers; Nonhomogeneous media; Permittivity; Physics; Radiocommunications; Radiowave propagation; Scattering; Scattering parameters; Spectra; Telecommunications; Telecommunications and information theory
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2009.2016695

Uniaxial multilayer cylinder cloaks have recently been proposed to prevent scattering of electromagnetic waves. These cloaks are based on spatial variation of constitutive parameters within the structure by means of metamaterials. A mathematical description of invisibility in such cloaks is provided. The analysis approach is based on modal analysis of cylindrical multilayer structures. In order to analyze structures with arbitrary number of layers, an algorithm to calculate spectral-domain Green's functions of uniaxial multilayer structures has been developed. The results show that the recently introduced metamaterial cloaks with reduced variation of constitutive parameters can decrease the total scattering width up to a factor of three, but only in a narrow frequency band due to dispersion in the filling material. Furthermore, it is shown that in the analyzed structures already 6 layers of constant permittivity and permeability approximate well the continuous dependence of constitutive parameters.