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

Luciano Zunino; Darío G. Pérez; Mario Garavaglia

doi:10.1117/12.723045

1 November 2006 Seeing within the fractional Brownian motion model for the turbulent wave-front phase

Luciano Zunino, Darío G. Pérez, Mario Garavaglia

Proceedings Volume 6522, Thirteenth Joint International Symposium on Atmospheric and Ocean Optics/ Atmospheric Physics; 65220K (2006) https://doi.org/10.1117/12.723045
Event: Thirteenth Joint International Symposium on Atmospheric and Ocean Optics/ Atmospheric Physics, 2006, Tomsk, Russian Federation

Abstract

We have previously modeled the turbulent wave-front phase by using a fractional Brownian motion (J. Opt. Soc. Am. A, Vol. 21, N° 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 groundbased 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.

Citation Download Citation

Luciano Zunino, Darío G. Pérez, and Mario Garavaglia "Seeing within the fractional Brownian motion model for the turbulent wave-front phase", Proc. SPIE 6522, Thirteenth Joint International Symposium on Atmospheric and Ocean Optics/ Atmospheric Physics, 65220K (1 November 2006); https://doi.org/10.1117/12.723045

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