ua nt - p h / 98 08 06 6 v 1 3 1 A ug 1 99 8 PHOTON STATISTICS OF A RANDOM LASER
نویسنده
چکیده
A general relationship is presented between the statistics of thermal radiation from a random medium and its scattering matrix S. Familiar results for black-body radiation are recovered in the limit S → 0. The mean photocount ¯ n is proportional to the trace of 1 1 − S · S † , in accordance with Kirchhoff's law relating emissivity and absorptivity. Higher moments of the photocount distribution are related to traces of powers of 1 1 − S · S † , a generalization of Kirchhoff's law. The theory can be applied to a random amplifying medium (or " random laser ") below the laser threshold, by evaluating the Bose-Einstein function at a negative temperature. Anomalously large fluctuations are predicted in the photocount upon approaching the laser threshold, as a consequence of overlapping cavity modes with a broad distribution of spectral widths.
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