Estimating stochastic noise using in-situ measurements from a linear wavefront slope sensor

Bharmal, N.A.; Reeves, A.P.

doi:10.1364/ol.41.000428

Estimating stochastic noise using in-situ measurements from a linear wavefront slope sensor

Bharmal, N.A.; Reeves, A.P.

Authors

Dr Nazim Bharmal n.a.bharmal@durham.ac.uk
Senior Adaptive Optics Scientist

A.P. Reeves

Abstract

It is shown how the solenoidal component of noise from the measurements of a wavefront slope sensor can be utilized to estimate the total noise: specifically, the ensemble noise variance. It is well known that solenoidal noise is orthogonal to the reconstruction of the wavefront under conditions of low scintillation (absence of wavefront vortices). Therefore, it can be retrieved even with a nonzero slope signal present. By explicitly estimating the solenoidal noise from an ensemble of slopes, it can be retrieved for any wavefront sensor configuration. Furthermore, the ensemble variance is demonstrated to be related to the total noise variance via a straightforward relationship. This relationship is revealed via the method of the explicit estimation: it consists of a small, heuristic set of four constants that do not depend on the underlying statistics of the incoming wavefront. These constants seem to apply to all situations—data from a laboratory experiment as well as many configurations of numerical simulation—so the method is concluded to be generic.

Citation

Bharmal, N., & Reeves, A. (2016). Estimating stochastic noise using in-situ measurements from a linear wavefront slope sensor. Optics Letters, 41(2), 428-431. https://doi.org/10.1364/ol.41.000428

Journal Article Type	Article
Acceptance Date	Dec 16, 2015
Online Publication Date	Jan 15, 2016
Publication Date	Jan 15, 2016
Deposit Date	Jan 14, 2016
Publicly Available Date	Jan 15, 2017
Journal	Optics Letters
Print ISSN	0146-9592
Electronic ISSN	1539-4794
Publisher	Optica
Peer Reviewed	Peer Reviewed
Volume	41
Issue	2
Pages	428-431
DOI	https://doi.org/10.1364/ol.41.000428

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