On Fresnel-Airy Equations, Fabry-Perot Resonances and Surface Electromagnetic Waves in Arbitrary Bianisotropic Metamaterials, including with Multi-Hyperbolic Fresnel Wave Surfaces

Abstract

We introduce a theory of optical responses of bianisotropic layers with arbitrary effective medium parameters, which results in generalized Fresnel-Airy equations for reflection and transmission coefficients at all incidence directions and polarizations. The poles of these equations provide explicit expressions for the dispersion of Fabry-Perot resonances and surface electromatic waves in bianisotropic layers and interfaces. The existence conditions of these resonances are topologically related to the zeros of the high-k characteristic function h(k)=0 of bulk bianisotropic materials and Durach et al. taxonomy of bianisotropic media according to the hyperbolic topological classes [Applied Sciences, 10(3), 763 (2020); Optics Communications, 476, 126349 (2020)].

21 pages, 3 figures

References in corpus (3)

• Nonlocal homogenization theory in metamaterials: effective electromagnetic spatial dispersion and artificial chirality
• Dispersion of guided modes in two-dimensional split ring lattices
• Tetra-hyperbolic and tri-hyperbolic optical phases in anisotropic metamaterials without magnetoelectric coupling due to hybridization of plasmonic and magnetic Bloch high-k polaritons