Homogenization of an Ensemble of Swiss Rolls by means of the MLFMA

This paper shows the homogenization of a magnetic metamaterial, consisting of so-called Swiss rolls, using MLFMA simulations. First, the resonance frequency of a single Swiss roll is determined. Next, a bianisotropic model is used to determine the macroscopic material parameters of an ensemble of Swiss rolls by S-parameter retrieval. Finally, the macroscopic material parameters (the permeability, permittivity and magnetoelectric coupling coefficients) are found as a function of frequency.