  Surface scattering of free electrons strongly modifies the electromagnetic
response near the interface. Due to the inherent anisotropy of the surface
scattering that necessarily reverses the normal the interface component of the
electron velocity while its tangential component may remain the same, a thin
layer near a high-quality interface shows strong dielectric anisotropy. The
formation of the resulting hyperbolic dispersion layers near the
metal-dielectric interface strongly modifies the local density of states, and
leads to orders of magnitude changes in all associated phenomena.
