Phonon-Polariton Dispersion & Reststrahlen Band

Ionic crystal: light couples to optical phonons → mixed photon-phonon quasiparticle
ε(ω) = ε∞ · (ω²−ω²LO) / (ω²−ω²TO)

Dispersion: c²k² = ε(ω)·ω²

Reststrahlen: ωTO < ω < ωLO
→ ε < 0, k imaginary
→ total reflection

Lyddane-Sachs-Teller:
ωLO/ωTO = √(ε0/ε∞)
368
5.4
12.0
0.02
Upper polariton branch
Lower polariton branch
Reststrahlen gap
Light line (c·k)
Reflectivity R(ω)