Abstract
We present a theory of frequency-dependent optical dephasing as measured by narrow-band photon-echo experiments. We consider a substitutionally disordered crystal with inhomogeneous broadening (diagonal disorder) and electronic interactions between occupied sites. We include the possibility of site-energy correlations. We find that the frequency dependence of the dephasing rate 1/ is very sensitive to the ratio ξ/a, where ξ is the correlation length and a is the lattice spacing. When ξ/a→∞, and there are macroscopic domains of resonant ions, 1/ becomes frequency independent. In the other limit when ξ/a→0, and the site energies are uncorrelated (microscopic broadening), 1/ is proportional to the inhomogeneous line shape. We have compared our results to experiments by Macfarlane and Shelby on : (2 at. %) and . We find reasonable agreement with experiment when ξ is less than a few lattice sites. Thus, for these systems the model of microscopic broadening is more appropriate than that of macroscopic broadening.
- Received 5 February 1985
DOI:https://doi.org/10.1103/PhysRevB.32.4111
©1985 American Physical Society