Sum-frequency generation by reflection of light from the surface of a nonabsorbing isotropic and gyrotropic medium

Sum-frequency generation by reflection of light from the surface of a nonabsorbing isotropic and gyrotropic medium is investigated for plane elliptically polarised pump waves. The boundary conditions for an electromagnetic field used in the calculations take account of the spatial dispersion of the optical response and of the surface inhomogeneity of the media in contact. The dependences of the electric field of the reflected sum-frequency wave on the angles of incidence, frequencies, and states of polarisation of the pump waves are determined. The results also include the dependences of this field on the Cartesian components of the tensors which represent the quadratic (in respect of the field) parts of the surface density of a bound-charge current and of the polarisation of the bulk of the medium with its spatial dispersion taken into account.