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

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

1 Scopus citations

Abstract

In Perez et al. [J. Opt. Soc. Am. A 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.

Original languageEnglish
Title of host publicationAtmospheric Optics
Subtitle of host publicationModels, Measurements, and Target-in-the-Loop Propagation
DOIs
StatePublished - 2007
EventAtmospheric Optics: Models, Measurements, and Target-in-the-Loop Propagation - San Diego, CA, United States
Duration: 27 Aug 200728 Aug 2007

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume6708
ISSN (Print)0277-786X

Conference

ConferenceAtmospheric Optics: Models, Measurements, and Target-in-the-Loop Propagation
Country/TerritoryUnited States
CitySan Diego, CA
Period27/08/0728/08/07

Keywords

  • Angle-of-arrival
  • Levy fractional brownian motion
  • Lightwave propagation
  • Turbulence
  • Turbulent wave-front phase

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