Boundary conditions for an electromagnetic field on the surface of linear and nonlinear crystals: Allowance for weak spatial dispersion and near-surface inhomogeneity of optical properties at the intermedium boundary

Abstract

Boundary conditions for an electromagnetic field in the sharp-boundary model are derived for an arbitrary angle of incidence of the light with allowance made for the near-surface inhomogeneous layer actually existing and the spatial dispersion of the nonlinear medium. It is shown that the discontinuity of the tangential component of both the magnetic-field induction and electric-field intensity vectors should be taken into account. Formulas are derived for performing calculations of these discontinuities in nonlinear media.