Nonlocal Theory of Second Harmonic Generation from a Metal Surface
During the past two decades significant progress has been made in our understanding of the linear optical properties of metals 1. It has turned out that nonlocal electronic transport phenomena are of fundamental importance for the description of the linear electromagnetic field close to the surface. For the corresponding nonlinear problem there are embarrassingly few calculations more sophisticated than the so-called hydrodynamic theory which includes nonlocal effects via magnetic dipole and electric quadropole terms only 2. In the present paper we shall outline a general nonlocal theory of parametric second harmonic generation. A Green’s function formulation of the nonlinear bulk-selvedge coupling problem will be given, and on the basis of a semiinfinite potential barrier model with no interference effects the structure of the nonlinear electromagnetic field will be studied. Contact with previous formulations is established in the appropriate near-local limit.
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