An asymptotic analysis of wave propagation in randomly perturbed waveguides is carried out in order to identify the effective Markovian dynamics of the guided mode powers. The main result consists in a quantification of the fluctuations of the mode powers and wave intensities that increase exponentially with the propagation distance. The exponential growth rate is studied in detail so as to determine its dependence with respect to the waveguide geometry, the statistics of the random perturbations, and the operating wavelength.

中文翻译：

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随机波导中的强度波动

对随机扰动波导中的波传播进行渐近分析，以识别导模功率的有效马尔可夫动力学。主要结果包括对随传播距离呈指数增长的模式功率和波强度的波动进行量化。详细研究指数增长率以确定其与波导几何形状、随机扰动的统计数据和工作波长的相关性。