Effects of hydrodynamic nonlocality on electromagnetic wave propagation and topological properties of magnetoplasmas

This study investigates the impact of nonlocality, introduced via hydrodynamic (HD) modeling of induced currents, on electromagnetic wave propagation in magnetoplasmas. An explicit dispersion equation (DE) for bulk modes, their associated field directions, and the dielectric tensor of such media are derived in wave-vector space. Furthermore, to explore the potential topological characteristics of these media, Chern numbers associated with the relevant nonlocal dispersion bands are computed. To assess the bulk-edge correspondence principle, the DE governing edge modes at the interface between two nonlocal magnetized plasmas is obtained. The topological properties of these edge modes are then analyzed in the well-known Voigt configuration of two oppositely biased nonlocal continua as a largely unexplored scenario. Both local and nonlocal models are examined, highlighting the impact of nonlocality on the number of edge modes and their topological protection. The analytical expressions developed in this work establish a compact and practical foundation for advancing theoretical studies on nonlocal magnetized plasmas.