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Identification of the dynamics of time-varying phase aberrations from time histories of the point-spread function
Delft Univ Technol, Netherlands.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.
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2019 (English)In: Optical Society of America. Journal A: Optics, Image Science, and Vision, ISSN 1084-7529, E-ISSN 1520-8532, Vol. 36, no 5, p. 809-817Article in journal (Refereed) Published
Abstract [en]

To optimally compensate for time-varying phase aberrations with adaptive optics, a model of the dynamics of the aberrations is required to predict the phase aberration at the next time step. We model the time-varying behavior of a phase aberration, expressed in Zernike modes, by assuming that the temporal dynamics of the Zernike coefficients can be described by a vector-valued autoregressive (VAR) model. We propose an iterative method based on a convex heuristic for a rank-constrained optimization problem, to jointly estimate the parameters of the VAR model and the Zernike coefficients from a time series of measurements of the point-spread function (PSF) of the optical system. By assuming the phase aberration is small, the relation between aberration and PSF measurements can be approximated by a quadratic function. As such, our method is a blind identification method for linear dynamics in a stochastic Wiener system with a quadratic nonlinearity at the output and a phase retrieval method that uses a time-evolution-model constraint and a single image at every time step. (c) 2019 Optical Society of America.

Place, publisher, year, edition, pages
OPTICAL SOC AMER , 2019. Vol. 36, no 5, p. 809-817
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Other Electrical Engineering, Electronic Engineering, Information Engineering
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URN: urn:nbn:se:liu:diva-157542DOI: 10.1364/JOSAA.36.000809ISI: 000466360700013PubMedID: 31045008OAI: oai:DiVA.org:liu-157542DiVA, id: diva2:1328672
Note

Funding Agencies|Seventh Framework Programme (FP7) [339681]; Vetenskapsradet (VR) [E05946CI]

Available from: 2019-06-22 Created: 2019-06-22 Last updated: 2019-06-22

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Klingspor, MånsHansson, AndersLöfberg, Johan
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