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

Bharmal, N.A. and Reeves, A.P. (2016) 'Estimating stochastic noise using in-situ measurements from a linear wavefront slope sensor.', Optics letters., 41 (2). pp. 428-431.


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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Publisher statement:© 2016 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited.
Date accepted:16 December 2015
Date deposited:19 January 2016
Date of first online publication:15 January 2016
Date first made open access:15 January 2017

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