Random Lasing over Gap States from a Quasi-One-Dimensional Amplifying Periodic-on-Average Random Superlattice

We report the experimental implementation and theoretical analysis of a random laser system that constitutes an amplifying periodic-on-average random superlattice (PARS). The stringent conditions on monodispersity required for a periodic-on-average random superlattice system are fulfilled using a linear array of spherical microresonators whose separation and size distribution can be controlled. Statistical studies of the lasing frequency reveal a frequency-controlled behavior. We perform transfer matrix calculations with gain to analyze the origin of the lasing modes, their thresholds, and frequency statistics. The results confirm that the experimentally observed lasing modes arise from states introduced into the stop gap of the underlying periodic system. On virtue of the fact that these high-quality gap states are restricted to a band of frequencies, the consequent random lasing exhibits significant reduction in frequency fluctuations.