Amokrane Berdja et al 2006 J. Opt. A: Pure Appl. Opt. 8 244 doi:10.1088/1464-4258/8/3/004
Amokrane Berdja1,2, Julien Borgnino2 and Abdenour Irbah3
Show affiliationsSeeing monitoring in astronomy is widely based on the statistical analysis of angle-of-arrival (AA) fluctuations, which are usually modelled in the framework of the near-field approximation where diffraction through turbulence is ignored. They are consequently believed to be completely independent of wavelength. We discuss in this paper the influence of Fresnel diffraction from distant turbulence layers on multi-wavelength (polychromatic) AA fluctuations. For this purpose we propose a model for polychromatic AA fluctuations in weak turbulence conditions and derive an analytical model for their variance in the case where scintillation is ignored. We also present a numerical simulation that includes scintillation and justifies that this latter may be neglected in the analytical model.
95.75.-z Observation and data reduction techniques; computer modeling and simulation
02.70.Rr General statistical methods
02.50.-r Probability theory, stochastic processes, and statistics
Optics, quantum optics and lasers
Issue 3 (March 2006)
Received 22 June 2005, accepted for publication 3 January 2006
Published 24 January 2006
Amokrane Berdja et al 2006 J. Opt. A: Pure Appl. Opt. 8 244
M de Roo et al 1990 Class. Quantum Grav. 7 1181
Adam Muzzin et al 2009 ApJ 706 L188
B N Taylor and P J Mohr 1999 Metrologia 36 63
Brian K Canfield et al 2006 J. Opt. A: Pure Appl. Opt. 8 S278
M Cortesi et al 2007 JINST 2 P09002
V Philipp et al 1976 J. Phys. B: At. Mol. Phys. 9 345
R M Measures et al 1992 Smart Mater. Struct. 1 36
N R Ray et al 1998 Meas. Sci. Technol. 9 287
D C Schmidt and T Suda 1994 Distrib. Syst. Engng. 1 280