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dc.contributor.authorPogorelyuk, L.
dc.contributor.authorPueyo, L.
dc.contributor.authorMales, J.R.
dc.contributor.authorCahoy, K.
dc.contributor.authorKasdin, N.J.
dc.date.accessioned2021-11-29T20:24:36Z
dc.date.available2021-11-29T20:24:36Z
dc.date.issued2021
dc.identifier.citationPogorelyuk, L., Pueyo, L., Males, J. R., Cahoy, K., & Kasdin, N. J. (2021). Information-theoretical Limits of Recursive Estimation and Closed-loop Control in High-contrast Imaging. Astrophysical Journal, Supplement Series.
dc.identifier.issn0067-0049
dc.identifier.doi10.3847/1538-4365/ac126d
dc.identifier.urihttp://hdl.handle.net/10150/662374
dc.description.abstractA lower bound on unbiased estimates of wave front errors (WFEs) is presented for the linear regime of small perturbation and active control of a high-contrast region (dark hole). Analytical approximations and algorithms for computing the closed-loop covariance of the WFE modes are provided for discrete- and continuous-time linear WFE dynamics. Our analysis applies to both image-plane and non-common-path wave front sensing (WFS) with Poisson-distributed measurements and noise sources (i.e., photon-counting mode). Under this assumption, we show that recursive estimation benefits from infinitesimally short exposure times, is more accurate than batch estimation and, for high-order WFE drift dynamical processes, scales better than batch estimation with amplitude and star brightness. These newly derived contrast scaling laws are a generalization of previously known theoretical and numerical results for turbulence-driven adaptive optics. For space-based coronagraphs, we propose a scheme for combining models of WFE drift, low-order non-common-path WFS (LOWFS) and high-order image-plane WFS (HOWFS) into closed-loop contrast estimates. We also analyze the impact of residual low-order WFE, sensor noise, and other sources incoherent with the star, on closed-loop dark hole maintenance and the resulting contrast. As an application example, our model suggests that the Roman Space Telescope might operate in a regime that is dominated by incoherent sources rather than WFE drift, where the WFE drift can be actively rejected throughout the observations with residuals significantly dimmer than the incoherent sources. The models proposed in this paper make possible the assessment of the closed-loop contrast of coronagraphs with combined LOWFS and HOWFS capabilities, and thus help estimate WFE stability requirements of future instruments. © 2021. The American Astronomical Society. All rights reserved.
dc.language.isoen
dc.publisherAmerican Astronomical Society
dc.rightsCopyright © 2021. The American Astronomical Society. All rights reserved.
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.titleInformation-theoretical Limits of Recursive Estimation and Closed-loop Control in High-contrast Imaging
dc.typeArticle
dc.typetext
dc.contributor.departmentSteward Observatory, University of Arizona
dc.identifier.journalAstrophysical Journal, Supplement Series
dc.description.noteImmediate access
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
dc.eprint.versionFinal published version
dc.source.journaltitleAstrophysical Journal, Supplement Series
refterms.dateFOA2021-11-29T20:24:36Z


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