Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Maximum a posteriori estimation of wave-front slopes using a Shack–Hartmann wave-front sensor

Not Accessible

Your library or personal account may give you access

Abstract

Current methods for estimating the wave-front slope at the pupil of a telescope by using a Shack–Hartmann wave-front sensor (SH–WFS) are based on a simple centroid calculation of the irradiance distributions (spots) recorded in each subaperture. The centroid calculation does not utilize knowledge concerning the correlation properties of the slopes over the subapertures or the amount of light collected by the SH–WFS. We present the derivation of a maximum a posteriori (MAP) estimation of the irradiance centroids by incorporating statistical knowledge of the wave-front tilts. Information concerning the light level in each subaperture and the relative spot size is also employed by the estimator. The MAP centroid estimator is found to be unbiased, and the mean square error performance is upper bounded by that exhibited by the classical centroid technique. This error performance is demonstrated by using Kolmogorov wave-front slope statistics for various light levels.

© 1997 Optical Society of America

Full Article  |  PDF Article
More Like This
Use of artificial neural networks for Hartmann-sensor lenslet centroid estimation

Dennis A. Montera, Byron M. Welsh, Michael C. Roggemann, and Dennis W. Ruck
Appl. Opt. 35(29) 5747-5757 (1996)

Global wave-front reconstruction using Shack–Hartmann sensors

Robert C. Cannon
J. Opt. Soc. Am. A 12(9) 2031-2039 (1995)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (56)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved