Seeing within the fractional Brownian motion model for the turbulent wave-front phase

Luciano Zunino, DARIO GABRIEL PEREZ , Mario Garavaglia

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

Abstract

We have previously modeled the turbulent wave-front phase by using a fractional Brownian motion (J. Opt. Soc. Am. A, Vol. 21, No 10, pp. 1962-1969, October 2004). Non-Kolmogorov turbulence is primarily considered within this approach. Now, in this work we study the relationship between seeing, usual measure of quality associated to a ground-based telescope, and Hurst exponent, characteristic parameter of a fractional Brownian motion. The theory behind the differential image motion monitor (DIMM), a standard and widely used instrument for seeing measurements, is reviewed by us. It is shown that there is a direct connection between both parameters. Thus, it is concluded that Hurst exponent is a quantifier of the atmospheric turbulent state.

Original languageEnglish
Title of host publicationThirteenth Joint International Symposium on Atmospheric and Ocean Optics/ Atmospheric Physics
DOIs
StatePublished - 1 Dec 2006
EventThirteenth Joint International Symposium on Atmospheric and Ocean Optics/ Atmospheric Physics - Tomsk, Russian Federation
Duration: 2 Jul 20067 Jul 2006

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume6522
ISSN (Print)0277-786X

Conference

ConferenceThirteenth Joint International Symposium on Atmospheric and Ocean Optics/ Atmospheric Physics
CountryRussian Federation
CityTomsk
Period2/07/067/07/06

Keywords

  • Fractional brownian motion
  • Hurst exponent
  • Non-Kolmogorov turbulence
  • Seeing
  • Turbulent wave-front phase

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