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Physics  2003 

A fractional Brownian motion model for the turbulent refractive index in lightwave propagation

DOI: 10.1016/j.optcom.2004.08.007

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Abstract:

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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