Surface Collective Excitations
The first part of this article is a basic introduction to the theory of surface collective excitations from the macroscopic point of view. The solution of the elastic wave equation and of the Maxwell equations combined with the appropriate boundary conditions yields the dispersion relations of Rayleigh waves and of polaritons associated with surface plasmons, excitons, optical phonons and magnons, respectively. The second part is devoted to the theory of surface phonons from the microscopic point of view. A short review of the various methods used in surface lattice dynamics serves as an introduction to the Green’s function theory of surface vibrations in ionic crystals. Finally the recent progress in the spectroscopy of surface phonons by means of atom scattering is mentioned with an illustration of the late achievement in the theoretical interpretation of inelastic spectra.
KeywordsDispersion Curve Rayleigh Wave Surface Mode Surface Polariton Elastic Wave Equation
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