Electromagnetic wave propagation in metamaterials: a visual guide to\n Fresnel-Kummer surfaces and their singular points

2016/02/26 by Alberto Favaro, Favaro, Alberto
Physics and Astronomy · #Electromagnetic Scattering and Analysis #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Optics (physics.optics) #Orbital Angular Momentum in Optics #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.1603.00063

openalex publication_date 2016/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The propagation of light through bianisotropic materials is studied in the\ngeometrical optics approximation. For that purpose, we use the quartic general\ndispersion equation specified by the Tamm-Rubilar tensor, which is cubic in the\nelectromagnetic response tensor of the medium. A collection of different and\nremarkable Fresnel (wave) surfaces is gathered, and unified via the projective\ngeometry of Kummer surfaces.\n

Related

• Fresnel versus Kummer surfaces: geometrical optics in dispersionless linear (meta)materials and vacuum
• On Fresnel-Airy Equations, Fabry-Perot Resonances and Surface\n Electromagnetic Waves in Arbitrary Bianisotropic Metamaterials, including\n with Multi-Hyperbolic Fresnel Wave Surfaces
• Complete 72-Parametric Classification of New and Old Kinds of Surface Plasmon Waves
• Additional Waves and Additional Boundary Conditions in Local Quartic Metamaterials
• Electromagnetic wave propagation in media consisting of dispersive\n metamaterials