2019/08/30 by S. A. R. Horsley, Horsley, S. A. R., M. J. Woolley +2
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Metamaterials and Metasurfaces Applications #Nonlinear Photonic Systems #Optics (physics.optics) #Quantum optics and atomic interactions #physics.optics
paper · pdf · doi:10.48550/arxiv.1908.11844
26 pages, 7 figures
openalex publication_date 2019/08/30 · arxiv created 2019/09/04 · arxiv updated 2019/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Here we re-examine one of the most basic quantities in optics: the refractive index. Considering propagation in a plane, we first develop a general formalism for calculating the direction dependent refractive index in a general bi-anisotropic material. From this we derive the general condition for achieving zero refractive index in a given direction. We show that when the zero-index direction is complex valued the material supports waves that can propagate in only one sense, e.g. in only a clockwise direction. We dub such materials complex axis nihility (CAN) media. Our condition shows that there are an infinite family of both time reversible and time irreversible homogeneous electromagnetic media that support unidirectional propagation for a particular polarization. We give examples showing that scattering from such media results in the complete exclusion of partial waves with one sign of the angular momentum, and that interfaces between such media generally support one-way interface states. As well as giving new sets of material parameters, our simple condition reproduces many of the findings derived using topology, such as unidirectional propagation in gyrotropic media, and spin-momentum locking of evanescent waves.