Abstract
We have developed a theory of the random phase approximation (RPA) optical response of surfaces and interfaces that, in the supercell approximation, takes into account the possible non-locality in the effective potential. One can greatly simplify the theory by decomposing the perturbing electric field into an almost spatially constant external field and an induced z-dependent part. A self-consistent solution of Maxwell equations allows us to express the first and second order in the external field z-dependent densities of polarization by means of “effective” first and second order z-dependent susceptibilities for which approximated expressions are given.
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