Numerical studies of left-handed materials and arrays of split ring resonators

Abstract
We present numerical results on the transmission properties of the left-handed materials (LHMs) and split-ring resonators (SRRs). The simulation results are in qualitative agreement with experiments. The dependence of the transmission through LHMs on the real and imaginary part of the electric permittivity of the metal, the length of the system, and the size of the unit cell are presented. We also study the dependence of the resonance frequency of the array of SRRs on the ring thickness, inner diameter, radial and azimuthal gap, as well as on the electrical permittivity of the board and the embedding medium, where the SRR resides. Qualitatively good agreement with previously published analytical results is obtained.