Stimulated emission is studied of phonons resonant with the metastable
Zeeman-split (E) over bar((2)E) doublet in ruby. initial population i
nversion of this two-level system is prepared by selective pulsed opti
cal pumping, and the ensuing stimulated emission of resonant phonons i
s observed via an accelerated growth of the luminescence intensity ema
nating from the lower level. Under favorable conditions, a periodic re
currence of the process of stimulated emission is observed, which poin
ts to a phonon cavity formed by the end faces of the crystal in combin
ation with a limited interaction length of the resonant phonons. To an
alyze these phenomena in detail, use is made of rate equations for the
phonon occupation and the level populations with explicit account of
their position dependences. With plausible assumptions an analytic sol
ution of these equations is achieved, which excellently fits the data.
The effect of lattice anharmonicity is shown to depend on the phonon
energy in agreement with the theoretical prediction.