Probability of Reflection by a Random Laser

Details Probability of Reflection by a Random Laser Probability of Reflection by a Random Laser

1996-01-08

arxiv.org/abs/cond-mat/9601024v1

Phys.Rev.Lett. 76, 1368 (1996)

Physics

Condensed Matter

8 pages (revtex), 3 figures, to appear in Phys.Rev.Lett

Scientific paper

10.1103/PhysRevLett.76.1368

A theory is presented (and supported by numerical simulations) for phase-coherent reflection of light by a disordered medium which either absorbs or amplifies radiation. The distribution of reflection eigenvalues is shown to be the Laguerre ensemble of random-matrix theory. The statistical fluctuations of the albedo (the ratio of reflected and incident power) are computed for arbitrary ratio of sample thickness, mean free path, and absorption or amplification length. On approaching the laser threshold all moments of the distribution of the albedo diverge. Its modal value remains finite, however, and acquires an anomalous dependence on the illuminated surface area.

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