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arXiv quant-ph/9808066quant-phcond-mat.mes-hall
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随机laser的光子统计

Photon statistics of a random laser

C. W. J. Beenakker

摘要:

给出了随机介质热辐射统计量与散射矩阵S之间的一般关系。黑体辐射的熟悉结果恢复在限制S到0。根据与发射率和吸收率相关的基尔霍夫定律,平均光计数与1-SS^dagger的迹线成比例。光计数分布的高阶矩与1-SS^dagger的幂的迹线有关,这是基尔霍夫定律的推广。该理论可以应用于低于激光阈值的随机放大介质(或“随机激光器”),通过评估负温度下的玻色-爱因斯坦函数。异常大的波动预测在接近激光阈值时的光电计数,作为一个结果的重叠腔模式的光谱宽度的广泛分布。

英文摘要:

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 to 0. The mean photocount is proportional to the trace of 1-SS^dagger, in accordance with Kirchhoff's law relating emissivity and absorptivity. Higher moments of the photocount distribution are related to traces of powers of 1-SS^dagger, 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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