Bulk and surface phonons in fcc-fcc superlattices using the matching procedure

The general theory developed in the preceding paper [Phys. Rev. B 38, 5931 (1988)] is applied to an fcc-fcc superlattice with (100) interfaces and nearest-neighbor interactions. Equations of motion have been derived for ${\mathrm{q}}_{\mathrm{\parallel }}$ along the [011] direction. Examples are reported for both even and odd motions, including for the latter an interpretation in terms of Brillouin-zone folding. The equations of the odd surface states of a semi-infinite superlattice with a surface parallel to its interfaces are also derived and solved.