Phenomenological treatment of surface second-harmonic generation

A phenomenological treatment of surface second-harmonic generation that can be applied to a host of geometries of interest is presented. We consider four standard experimental geometries and show that the expressions for the surface second-harmonic generated power can all be written in one compact form, from which the dependence of the signal on polarization, angle of incidence, and other experimental parameters can be extracted. The bulk second-harmonic generation is also included with this formalism, as we show explicity for one geometry.