Bk. Ridley et al., CONTINUUM MODEL OF THE OPTICAL MODES OF VIBRATION OF AN IONIC-CRYSTALSLAB, Physical review. B, Condensed matter, 50(16), 1994, pp. 11701-11709
Optical vibrations of a thin ionic slab are described by a macroscopic
theory involving the hybridization of LO, TO, and interface-polariton
modes. The resultant modes are triple hybrids, which satisfy both ela
stic and electromagnetic boundary conditions at the two surfaces. Anal
ytic expressions are derived for the relative ionic displacements and
related electric fields, and for the dispersion relations, assuming el
astic isotropy and neglecting retardation effects. Comparison of mode
patterns with those obtained by Fuchs and Kliewer, who used electromag
netic boundary conditions only, show that Fuchs-Kliewer modes are a go
od approximation to the system of the triple-hybrid modes our theory d
escribes.