Eur. Phys. J. Appl. Phys. 91, 20902 (2020)
https://doi.org/10.1051/epjap/2020190343

Regular Article

Homogenization of 3D metamaterial particle arrays for oblique propagation via a point-dipole analysis^★

¹ Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, GR-54124 Thessaloniki, Greece
² Department of Electrical and Computer Engineering, University of Western Macedonia, GR-50131 Kozani, Greece

^* e-mail: kant@auth.gr

Received: 2 December 2019
Received in final form: 30 May 2020
Accepted: 24 June 2020
Published online: 11 August 2020

Abstract

A rigorous technique for the consistent calculation of the effective parameters of infinite three-dimensional metamaterial particle arrays in the realistic case of oblique wave propagation, is presented in this paper. The extracted polarizabilities of the consisting scatterer and the numerically retrieved wavenumber for the obliquely propagating electromagnetic waves are systematically inserted into a properly modified first-principles homogenization technique, thus leading to the characterization of the effective medium. Finally, the proposed methodology is applied to two popular, anisotropic metamaterial resonators.