Transient Reflection of Plane Waves from a Lorentz Medium Half Space

Abstract

The time-domain reflection coefficient for a plane wave obliquely incident on a Lorentz-medium half space is determined analytically by inversion of the Laplace-domain reflection coefficient. The case of non-unity optical permittivity is considered, with both TE and TM-polarized incident waves. The resulting expressions contain only the convolution of simple functions whose behavior may be predicted from the material parameters and the incidence angle. The time-domain expressions are validated numerically by comparison with the inverse fast Fourier transform of the frequency-domain reflection coefficient.