Atmospheric turbulence profiling with unknown power spectral density

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dc.contributor.author Helin, Tapio
dc.contributor.author Kindermann, Stefan
dc.contributor.author Lehtonen, Jonatan
dc.contributor.author Ramlau, Ronny
dc.date.accessioned 2021-02-17T12:37:01Z
dc.date.available 2021-02-17T12:37:01Z
dc.date.issued 2018-03-08
dc.identifier.citation Helin , T , Kindermann , S , Lehtonen , J & Ramlau , R 2018 , ' Atmospheric turbulence profiling with unknown power spectral density ' , Inverse Problems , vol. 34 , no. 4 , 044002 . https://doi.org/10.1088/1361-6420/aaaf88
dc.identifier.other PURE: 108343494
dc.identifier.other PURE UUID: c1ae215d-5428-467a-864a-41e2822c3990
dc.identifier.other WOS: 000434853200001
dc.identifier.other Scopus: 85044224478
dc.identifier.uri http://hdl.handle.net/10138/326642
dc.description.abstract Adaptive optics (AO) is a technology in modern ground-based optical telescopes to compensate for the wavefront distortions caused by atmospheric turbulence. One method that allows to retrieve information about the atmosphere from telescope data is so-called SLODAR, where the atmospheric turbulence profile is estimated based on correlation data of Shack-Hartmann wavefront measurements. This approach relies on a layered Kolmogorov turbulence model. In this article, we propose a novel extension of the SLODAR concept by including a general non-Kolmogorov turbulence layer close to the ground with an unknown power spectral density. We prove that the joint estimation problem of the turbulence profile above ground simultaneously with the unknown power spectral density at the ground is ill-posed and propose three numerical reconstruction methods. We demonstrate by numerical simulations that our methods lead to substantial improvements in the turbulence profile reconstruction compared to the standard SLODAR-type approach. Also, our methods can accurately locate local perturbations in non-Kolmogorov power spectral densities. en
dc.format.extent 32
dc.language.iso eng
dc.relation.ispartof Inverse Problems
dc.rights unspecified
dc.rights.uri info:eu-repo/semantics/openAccess
dc.subject inverse problem
dc.subject integral equation
dc.subject adaptive optics
dc.subject turbulence profiling
dc.subject SLODAR
dc.subject WAVE-FRONT SENSORS
dc.subject ADAPTIVE OPTICS
dc.subject FLUCTUATIONS
dc.subject INSTRUMENTS
dc.subject PROPAGATION
dc.subject TELESCOPES
dc.subject C-N(2)
dc.subject 111 Mathematics
dc.title Atmospheric turbulence profiling with unknown power spectral density en
dc.type Article
dc.contributor.organization Department of Mathematics and Statistics
dc.contributor.organization Inverse Problems
dc.description.reviewstatus Peer reviewed
dc.relation.doi https://doi.org/10.1088/1361-6420/aaaf88
dc.relation.issn 0266-5611
dc.rights.accesslevel openAccess
dc.type.version acceptedVersion
dc.identifier.url http://arxiv.org/abs/1707.02157

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