湍流refractive index的分数布朗运动模型
A fractional Brownian motion model for the turbulent refractive index in lightwave propagation
摘要:
讨论了广泛使用的马尔可夫近似用于模拟光波传输中湍流折射率的局限性。众所周知,索引是一个被动的标量场。因此,关于这些量的实际知识被用来提出一个替代的随机过程的马尔可夫近似:分数布朗运动。这推广了前者的引入记忆,即沿着传播路径存在相关性。
英文摘要:
It is discussed the limitations of the widely used markovian approximation applied to model the turbulent refractive index in lightwave propagation. It is well-known the index is a passive scalar field. Thus, the actual knowledge about these quantities is used to propose an alternative stochastic process to the markovian approximation: the fractional Brownian motion. This generalizes the former introducing memory; that is, there is correlation along the propagation path.
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