Low-frequency resonances in hollow metamaterial cylinders

Demin

et al. 2014

Radiophys Quantum El

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We consider the rigorous problem of excitation of a metamaterial sphere by a meridionally directed electric dipole. High Q-resonances in the low-frequency region are found and studied. The existence conditions of these resonances are established. Frequency-amplitude characteristics of the sphere and the vector scattering patterns at resonant frequencies are calculated. Approximate analytical expressions for resonant frequencies are obtained. The effect of nonresonance field enhancement, which consists in that the scattered field exceeds the primary field in a wide frequency range, is found.

Section: Formulation Of the Problemmentioning

confidence: 98%

“…The authors of [7][8][9][10] considered two-dimensional problems of excitation of solid and hollow circular metamaterial cylinders by a filamentary source. It was shown that high-Q resonances exist in cylinders with small diameters.…”

Section: Introductionmentioning

confidence: 99%

High-Q Quasistatic Resonances Excited in a Metamaterial Sphere by a Meridional Dipole

Demin

et al. 2014

Radiophys Quantum El

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“…Scattered field U S in the far zone can be represented as (7) where Φ S (ϕ) is the scattering pattern. Then, the pat tern of incident field U 0 (r, ϕ) has the unit amplitude:…”

Section: Degeneration Of Quasi Static Resonances In An Impedance Circmentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

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

J. Commun. Technol. Electron.

Shatrov

2015

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An impedance cylinder covered by a metamaterial layer is considered. The 2D problem of excita tion of the cylinder by a magnetic current filament is analyzed. High Q surface wave resonances formed in cylinders of small (as compared to the wavelength) dimensions are investigated. The effect of degeneration of oscillations with different indices m in the law cos(mϕ), which describes the azimuthal dependence of reso nance fields, is discovered. The spatial and frequency characteristics of degenerate oscillations are numeri cally investigated on the basis of rigorous methods.

“…In variables and , the exciting field is defined as (1) where is the Hankel function and k is the free space wave number.…”

Section: Introductionmentioning

confidence: 99%

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

J. Commun. Technol. Electron.

Shatrov

2015

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A two dimensional problem of excitation, by a linear source, of a structure consisting of two iden tical solid or hollow cylinders made of a metamaterial under the condition that the geometric and material parameters of the cylinders provide for the existence of high Q quasi static resonances in each of the cylin ders is considered. The effect of the distance between the cylinders on the spatial structure of the resonant fields is studied. It is shown that the frequency response of the structure has the shape characteristic of the response of coupled resonators. The behavior of the fields in the vicinity of the critical coupling, which qual itatively changes the frequency characteristics of the composite resonator, is numerically investigated.