Spatial Dispersion Effects in Resonant Polariton Scattering. I. Additional Boundary Conditions for Polarization Fields

Abstract

The normal-incidence propagation of transverse modes in a medium with spatial dispersion is analyzed. A careful examination of discrepancies existing in the literature concerning the boundary conditions shows that they are due to the use of different susceptibilities. Thus they originate from a discrepancy in the solution of Schrödinger's equation and not of Maxwell's equations.