Inner- and outer-scales of turbulent wave-front phase defined through the lens of multi-scale Lévy fractional Brownian motion processes

DARIO GABRIEL PEREZ , Luciano Zunino

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

We have previously shown that the Lévy fractional Brownian field family accounts for a complete statistical and analytical description of non-Kolmogorov wavefront phase [Opt. Lett. 33(6), 572 (in press, 2008)]. This is a non-stationary process having zero mean and stationary increments; then, replicating the well-known properties of the turbulent phase. Opposite to traditional models relying in the stationary (spectral) approximation of the phase, that ultimately leads to non-physical divergences. Our model avoids these pitfalls and gives exact analytical results to many observable quantities: Strehl ratio, angle-of-arrival variance, seeing and Zernike coefficients, and also, a generalized DIMM theory. Nevertheless, some coefficients are slightly below (~ 5-10%) when compared to other estimates in the occurrence of Kolmogorov turbulence. In the present work we show that this is due to the mono-fractal nature of this model; that is, the absence of inner- and outer-scales. To address this issue we introduce a gaussian stochastic process whose realizations are multi-fractals: the multi-scale Lévy fractional Brownian field.

Original languageEnglish
Title of host publicationOptics in Atmospheric Propagation and Adaptive Systems XI
DOIs
StatePublished - 1 Dec 2008
EventOptics in Atmospheric Propagation and Adaptive Systems XI - Cardiff, Wales, United Kingdom
Duration: 16 Sep 200818 Sep 2008

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume7108
ISSN (Print)0277-786X

Conference

ConferenceOptics in Atmospheric Propagation and Adaptive Systems XI
CountryUnited Kingdom
CityCardiff, Wales
Period16/09/0818/09/08

Keywords

  • Angle-of-arrival
  • Lévy fractional Brownian motion
  • Lightwave propagation
  • Turbulence
  • Turbulent wave-front phase

Fingerprint Dive into the research topics of 'Inner- and outer-scales of turbulent wave-front phase defined through the lens of multi-scale Lévy fractional Brownian motion processes'. Together they form a unique fingerprint.

Cite this