Lasing Threshold and Mode Competition in Chaotic Cavities

Details Lasing Threshold and Mode Competition in Chaotic Cavities Lasing Threshold and Mode Competition in Chaotic Cavities

1997-06-25

arxiv.org/abs/chao-dyn/9706027v2

Phys. Rev. A 57, 2041, (1998)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, RevTeX, 3 figures. Discussion of effects of non-zero resistivity in the boundaries is added

Scientific paper

10.1103/PhysRevA.57.2041

The lasing threshold is studied of a multi-mode chaotic cavity (linear size D >> wavelength \lambda) coupled to the outside through a small hole (linear size d << \lambda). For sufficiently weak absorption by the boundaries, the statistical 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}.

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