Optical linewidths and photon-echo decays of impurities in glasses

作者：W. O. Putikka, David L. Huber · 发表于：Physical review. B, Condensed matter · 年份：1987 · DOI：10.1103/physrevb.36.3436 · 被引用次数：52 · 研究领域：Random lasers and scattering media、Glass properties and applications、Material Dynamics and Properties

Using a stochastic model, we calculate the temperature dependence of the homogeneous linewidth and the two-pulse photon-echo decay rate of optically active impurities in glasses. The theory applies to the low-temperature regime T\ensuremath{\lesssim}10 K, where it is assumed that the dephasing arises from an elastic dipole interaction of the impurity with an array of thermally excited tunneling systems. Averaging over the tunneling parameters and using relaxation rates appropriate to vitreous silica, we find that the photon-echo decay rate varies as ${T}^{1.1}$ and the homogeneous linewidth as ${T}^{1.2}$ for 0.1\ensuremath{\le}T\ensuremath{\le}1 K, assuming a constant density of states for the tunneling systems. Both the photon-echo amplitude and the optical dipole-moment correlation function decay exponentially in time. The rates, however, are different, with a ratio of photon-echo dephasing time to optical-absorption dephasing time of 6.9 at T=1 K, assuming a constant density of states. The relation of our results to various experimental studies is discussed.