A fractional Brownian motion model for the turbulent refractive index in lightwave propagation
arXiv:physics/0307052 · doi:10.1016/j.optcom.2004.08.007
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.
11 pages, no figures. Submitted and revised for Optics Communications