TY - GEN
T1 - Seeing within the fractional Brownian motion model for the turbulent wave-front phase
AU - Zunino, Luciano
AU - Pérez, Dario G.
AU - Garavaglia, Mario
PY - 2006
Y1 - 2006
N2 - 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.
AB - 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.
KW - Fractional brownian motion
KW - Hurst exponent
KW - Non-Kolmogorov turbulence
KW - Seeing
KW - Turbulent wave-front phase
UR - http://www.scopus.com/inward/record.url?scp=33846192873&partnerID=8YFLogxK
U2 - 10.1117/12.723045
DO - 10.1117/12.723045
M3 - Conference contribution
AN - SCOPUS:33846192873
SN - 0819466425
SN - 9780819466426
T3 - Proceedings of SPIE - The International Society for Optical Engineering
BT - Thirteenth Joint International Symposium on Atmospheric and Ocean Optics/ Atmospheric Physics
T2 - Thirteenth Joint International Symposium on Atmospheric and Ocean Optics/ Atmospheric Physics
Y2 - 2 July 2006 through 7 July 2006
ER -