Asymptotic Theory of the Reflection and Transmission of a Pulsed ElectromagneticBeam Field at a Planar Interface Separating Two Dispersive Media

摘要

Our long-term research goal is to develop a rigorous analytic formulation and,uniform asymptotic description of pulsed electromagnetic beam-field propagation, reflection, and transmission phenomena in causally dispersive dielectric and conducting media. Emphasis has been placed first on a formulation that has been rigorously obtained from the macroscopic Maxwell's equations with constitutive relations that are appropriate for a homogeneous, isotropic, nonhysteretic, locally linear, temporally dispersive medium, followed by the development and application of the required uniform asymptotic expansion techniques that are necessary to provide a completely continuous description of the space-time evolution of the pulsed beam-field at sufficiently large propagation distances into the dispersive, attenuative medium.