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

TL;DR

This paper develops a comprehensive theory for the optical behavior of bianisotropic layers, deriving generalized Fresnel-Airy equations that describe reflection, transmission, and surface waves, with explicit resonance dispersion relations linked to topological properties.

Contribution

It introduces a generalized framework for Fresnel-Airy equations in bianisotropic media, connecting optical resonances to topological characteristics of the material's hyperbolic classes.

Findings

Derived explicit dispersion relations for Fabry-Perot resonances.

Established topological conditions for the existence of surface electromagnetic waves.

Linked resonance conditions to the zeros of the high-k characteristic function.

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)].