Electromagnetic parameter retrieval technique utilizing eigenvalue analysis and field averaging

Abstract

In this paper, a fully numerical homogenization technique is presented for the retrieval of the effective constitutive parameters of a periodic composite medium. Based on the eigensolution returned by the utilized field-flux FEM formulation, a proper field averaging process of the field components is proposed over specific paths of the periodic unit cell of an arbitrary structure. Subsequently, the constitutive relations for every eigenmode supported by the medium are derived, forming a linear system of equations. The solution of this system returns a set of fifteen effective constitutive parameters, including the magnetoelectric coefficients, which account for possible cross-polarization effects, causing bianisotropy.