Inhomogeneous Spatially Dispersive Electromagnetic Media

Two key types of inhomogeneous spatially dispersive media are described, both based on a spatially dispersive generalisation of the single resonance model of permittivity. The boundary conditions for two such media with different properties are investigated using Lagrangian and distributional methods. Wave packet solutions to Maxwell’s equations, where the permittivity varies and is periodic in the medium, are then found.