The resonance properties of multiturn wire helices filled with a metamaterial

The 2D problem of the excitation of a multiturn cylindrical wire helix filled with a metamaterial by electric- and magnetic-current filaments is considered. High-Q resonances in the low-frequency region are found and investigated. It is shown that, depending on the values of the constitutive and geometric parameters of the anisotropically conducting cylinder, the resonance fields can have both linear and circular polarizations. On the basis of a rigorous calculation, the amplitude-frequency characteristic of this structure and near- and far-field patterns are considered. Approximate analytic expressions are obtained for the resonance frequencies.