High-Q resonanaces of surface waves in thin metamaterial cylinders

Abstract

The 2D problem of excitation of a circular metamaterial cylinder by a filament source is numeri cally investigated. It is found that, when the relative permittivity and permeability are close to minus unity, high Q resonances occur in cylinders of an electrically small diameter. Near and far field patterns are cal culated. It is discovered that, under resonance conditions, a multilobe scattering pattern typical of superdi rective antennas is formed. The influence of loss on the resonance characteristics is investigated.

Coupled quasi-static oscillations in two cylinders made of a metamaterial

“…The numerical calculations of the wave fields have been performed with the use of the modified discrete source method [4], which is used in the investigations of the resonance properties of single cylinders made of metamaterials in [1,2].…”

“…The problem of excitation of solid and hollow sin gle cylinders made of a metamaterial is considered in studies [1,2]. It has been found that, at the values of ε close to minus unity, high Q resonances exist in the cylinders of small electrical radius .…”

Degeneration of quasi-static resonances in an impedance circular cylinder covered by a metamaterial layer

“…(1) that the field of the incident cylindrical wave is specified in the form (6) where is the Hankel function.…”

“…In other words, the degeneration disap pears; and, in addition, a deep dip at the frequency = 0.188767015 is formed. The near and far fields at resonance frequencies kb 6 The curve from Fig. 5 can be considered as the fre quency characteristic of a complex resonance consist ing of two coupled oscillations.…”

“…Electromagnetic fields excited by sources located near metamaterial bodies exhibit a number of extraordinary properties [2][3][4][5]. In studies [6,7], high Q resonances are discovered in solid and hollow metamaterial cylinders that have electrically small dimensions and are characterized by the values of ε and μ approaching minus unity. Such cylinders can be considered as ring resonators supporting sur face waves propagating over the metamaterial bound ary.…”