LIGHT WAVES AT THE BOUNDARY OF NONLINEAR MEDIA

Solutions to Maxwells equations in nonlinear dielectrics are presented which satisfy the boundary conditions at a plane i terface between a linear and nonlinear medium. Harmonic waves emanate from the boundary. Generalizations of the well-known laws of reflection and refraction give the direction of the boundary harmonic waves. Their intensity and polarization conditions are described by generalizations of the Fresnel formulae. The equivalent Brewster angle for harmonic waves is derived. The various conditions for total reflection and transmission of boundary harmonics are discussed. The solution of the nonlinear plane parallel slab is presented which describes the harmonic generation in experimental situations. An integral equation formulation for wave propagation in nonlinear media is sketched. Implication of the nonline r bound ry ory for xp ri tal syste s and evices are pointed out. Author