The Lévy fractional Brownian motion family as a new paradigm in the modeling of turbulent wave-front phase

DARÍO G. PÉREZ, LUCIANO ZUNINO AND MARIO GARAVAGLIA

SPIE

The International Society for Optical Engineering

Lugar: Bellingham, USA; Año: 2007 vol. 6708 p. 67081 - 67086

0277-786X

In Pérez et al. [J. Opt. Soc. Am. A, Vol. 21 (10), pp. 1962-1969, October 2004] we have given a general formalism to model the turbulent wave-front phase by using fractional Brownian motion processes. Moreover, it extends classical results to non-Kolmogorov turbulence: the Strehl ratio and the angle-of-arrival variance are shown to be dependent on the dynamic state of the turbulence. Nevertheless, this model has its drawbacks as it is unable of handling the stationarity of the phase increments over the full inertial range. The Lévy fractional Brownian motion (LfBm) family is then introduced here in order to overcome this problem.