Abstract
This paper reports the scattering of electromagnetic plane wave by annular metamaterials composed of concentric regular dielectric layers of infinite length. Interestingly, in certain frequency ranges, their scattering properties are similar to those of a perfect electric conductor cylinder, except that the tangential electric field on their surfaces does not vanish. Moreover, the frequency bands of total reflection spectra can be rigorously predicted using Floquet–Bloch theorem.
Highlights
The natural dielectric medium has its own specific refractive index
This paper reports the scattering of electromagnetic plane wave by annular metamaterials composed of concentric regular dielectric layers of infinite length
Metamaterials made of conventional materials such as metal and Epoxy were found to have extraordinary refractive indices, which are negative in a certain frequency band.[1]
Summary
The natural dielectric medium has its own specific refractive index. synthetic(artificial) dielectrics, which are usually periodic structures, provide flexibility in obtaining a desired effective permittivity or permeability from their physical structures instead of their chemical composition. The dispersive and anisotropic characteristics of the effective refractive index of synthetic dielectrics can be rigorously analyzed using electromagnetic field theory.[2,3] Recently, metamaterials made of conventional materials such as metal and Epoxy were found to have extraordinary refractive indices, which are negative in a certain frequency band.[1]. Annular metamaterials are popularly designed for their symmetrical structure Reported cases of such uses include, the echo-width calculation of a conducting cylinder coated with metamaterials,[4] the numerical analysis of radiation and scattering from concentric metamaterial cylinders excited by an electric line source,[5] the investigation of sub-wavelength resonances in metamaterial cylinders affected by the shape of the cylinder cross–section,[6] and a homogeneous isotropic invisibility cloak design based on geometrical optics.[7,8]. The underlying physics of wave processes involved are discussed
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