Here, the authors apply Lorenz–Lorentz and Maxwell Garnett homogenisation theory in order to extract the effective constitutive parameters of a metamaterial. The authors demonstrate the significance of extracting the polarisability coefficients of a metamaterial taking in consideration the interaction fields of a unit cell neighbours in an infinite periodic structure. The validation process is done using full wave analysis by comparing reflection and transmission coefficients of the periodic structure to the results from a bulk characterised by the extracted electrical effective parameters. The presented method helped us to evaluate the effective parameters of non‐dispersive metamaterials with highly interaction fields. In addition, several new geometries of metamaterials that are characterised by unique non‐dispersive diagonal ϵfalse¯¯ and italicμfalse¯¯ are presented.

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