The problem of the reconstruction of random phase distortions from Hartmann test data is discussed. A statistical approach allowing calculation of reconstruction errors associated with the discrete character of the data is developed. It is shown that the correct choice of both the experimental scheme and the method of data reduction can significantly improve the results. Some practical recommendations presented allow one to choose the main parameters of the experimental scheme in such a way that the errors of the retrieved phase distortions are minimal. The results obtained can be applied for both atmospheric and adaptive optics.
© 1996 Optical Society of America
Original Manuscript: June 9, 1995
Revised Manuscript: March 11, 1996
Manuscript Accepted: March 18, 1996
Published: August 1, 1996
V. V. Voitsekhovich, "Hartmann test in atmospheric research," J. Opt. Soc. Am. A 13, 1749-1757 (1996)