Anomalously Low Threshold in Lasing Chaotic Cavities
Abstract
Lasing with anomalously low threshold is predicted for a multi-mode chaotic cavity (linear size D >> wavelength \lambda) coupled to the outside world through a small opening (linear size d << \lambda). Due to strong fluctuations of widths of cavity modes, the distribution of the threshold is wide, its mean value being much less than the pumping rate needed to compensate the average loss. The average number N_{nc} >> 1 of non-competing excited modes is proportional to the square root of the pumping rate. We use the classical model of spatial hole burning to account for mode competition and find a reduction in the average number of excited modes to N = 3^{1/3}*N_{nc}^{2/3}.Keywords
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