Low-frequency photonic bands in metallic lattices: a tight-binding description

Abstract

Low-frequency photonic band structures in two-dimensional metallic lattices are investigated through both numerical and tight-binding approaches. The metallic structures, displaying respectively four and six fold rotational symmetries, are constructed upon different sets of adjustable structure units, allowing probing the contribution of different structure configurations to the band formation. We show that the low-frequency band structures can be described in the tight-binding framework, and analyzed in terms of local resonance modes and their mutual correlations.