Abstract

The problem of wave-front estimation from wave-front slope measurements has been examined from a least-squares curve fitting model point of view. It is shown that the slope measurement sampling geometry influences the model selection for the phase estimation. Successive over-relaxation (SOR) is employed to numerically solve the exact zonal phase estimation problem. A new zonal phase gradient model is introduced and its error propagator, which relates the mean-square wave-front error to the noisy slope measurements, has been compared with two previously used models. A technique for the rapid extraction of phase aperture functions is presented. Error propagation properties for modal estimation are evaluated and compared with zonal estimation results.

© 1980 Optical Society of America

Optimal wave-front correction using slope measurements

Edward P. Wallner
J. Opt. Soc. Am. 73(12) 1771-1776 (1983)

Modal wave-front estimation from phase derivative measurements

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Wave-front slope estimation

Marcos A. van Dam and Richard G. Lane
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Least-squares wave front errors of minimum norm

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