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

DARÍO G. PÉREZ; LUCIANO ZUNINO; MARIO GARAVAGLIA

San Diego, California, USA

Conferencia; Optical Engineering & Applications, part of SPIE, Optics + Photonics 2007; 2007

SPIE

In Pérez et al. [J. Opt. Soc. Am. A, Vol. 21 (10), 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.