锁模激光器功率涨落的统计物理
Statistical physics of power fluctuations in mode locked lasers
摘要：
本文分析了被动锁模激光器在统计稳态下的功率涨落。我们使用统计光模理论将这个问题映射到参考平衡统计物理问题中的涨落问题，并以这种方式非微扰地研究涨落。功率波动是非临界的，是高斯的，并且在幅度上与自由度的数量的平方根倒数成比例。我们计算显式的解析表达式的协方差矩阵的整体，脉冲和连续功率变量，提供完整的信息，在激光器中的单次功率分布，并推导出一组它们之间的波动耗散关系和稳定状态的量的稳定性。
英文摘要：
We present an analysis of the power fluctuations in the statistical steady state of a passively mode locked laser. We use statistical light-mode theory to map this problem to that of fluctuations in a reference equilibrium statistical physics problem, and in this way study the fluctuations non-perturbatively. The power fluctuations, being non-critical, are Gaussian and proportional in amplitude to the inverse square root of the number of degrees of freedom. We calculate explicit analytic expressions for the covariance matrix of the overall, pulse and cw power variables, providing complete information on the single-time power distribution in the laser, and derive a set of fluctuation-dissipation relations between them and the susceptibilities of the steady-state quantities.
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