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We introduce a theory of optical responses of bianisotropic layers witharbitrary effective medium parameters, which results in generalizedFresnel-Airy equations for reflection and transmission coefficients at allincidence directions and polarizations. The poles of these equations provideexplicit expressions for the dispersion of Fabry-Perot resonances and surfaceelectromatic waves in bianisotropic layers and interfaces. The existenceconditions of these resonances are topologically related to the zeros of thehigh-k characteristic function h(k)=0 of bulk bianisotropic materials andDurach et al. taxonomy of bianisotropic media according to the hyperbolictopological classes [Applied Sciences, 10(3), 763 (2020); OpticsCommunications, 476, 126349 (2020)].

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