Generalised additional boundary condition for non-local dielectrics. II. Surface polaritons

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Abstract
For pt.I see ibid., vol.17, p.3869 (1984). A recently developed response theory for a spatially dispersive dielectric halfspace is applied to the study of surface polaritons. An explicit dispersion relation is derived, which depends on the parameters Ux and Uz which describe the interaction of the excitation with the surface. For special values of these parameters the dispersion relation reduces to the expressions corresponding to several well known additional boundary conditions (ABC). An approximate dispersion relation, valid for small non-local effects, is also derived and applied to three cases of attenuated total reflection (ATR) spectroscopy. In particular the authors study propagation distances and widths of ATR spectral lines for surface exciton polaritons in semiconductors. The non-local contribution to this width is directly related to the parameters Ux and Uz, and to the above mentioned ABC.