Mathematical Analysis and Modeling of Maxwell’s Equations in Complex Media

Over the past two decades, the study of complex media in Maxwell’s equations—including anisotropic, dispersive, nonlinear, nonlocal, metamaterial, graphene, metasurface, and time-varying media—has attracted significant attention across multiple disciplines. This growing interest is driven by important applications in photonics, plasmonics, telecommunications, and materials science. From a mathematical perspective, Maxwell’s equations in complex media pose substantial challenges, such as nonstandard constitutive relations, nonlinear effects, frequency-dependent parameters, novel interface conditions, and the need for advanced analytical and computational techniques. Bridging rigorous mathematical analysis with accurate modeling and efficient numerical simulation remains an active and essential area of research. This workshop aims to bring together mathematicians, physicists, and engineers to share recent advances, identify key open problems, and foster interdisciplinary collaboration in the analysis, modeling, computation, and applications of Maxwell’s equations in complex media.

Topics: Maxwell's Equations, Analysis