Macroscopic approach to the theory of reflectivity

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Abstract
It is shown how to extend Feibelman’s framework [Prog. Surf. Sci. 12, 287 (1982)] for the reflectivity of a jellium surface to a more general situation, by expressing his matching conditions and their generalization in terms of macroscopic boundary conditions. A generalization of his reflectivity formulas to a nonjellium surface is given. The case where ε≊1 is also derived. The appropriate microscopic Kubo formulas for the coefficients in the reflectivity formulas are given. In the following paper an application is made to a problem of current interest in infrared vibrational spectroscopy. Our technique is presented in such a way that it can be easily extended as the need arises to arbitrarily complicated anisotropic situations.