Fractal negative-epsilon metamaterial

In this paper, a novel fractal metamaterial with negative permittivity is presented. It consists of two pairs of fractal Hilbert curves with antisymmetric current distribution at resonance. The resonant current distribution shows that the structure behaves as an electrically small dipole. This approach, which is different from the conventional Complementary Split Ring Resonator (CSRR) based approaches, is described and the electric resonance is illustrated. The negative permittivity is derived from the numerically calculated Z-parameters for one unit cell-thick sample under plane wave excitation. The unit cell size is only ¿o/21.80 × ¿o/21.80 at resonance. The proposed electrically small structure presents therefore a more homogeneous negative-epsilon material for ¿Left-handed Metamaterial¿ applications than the standard CSRR based solutions.