Deconvolution of differential OTF (dOTF) to measure high-resolution wavefront structure

Justin M. Knight, Alexander T. Rodack, Johanan L. Codona, Kelsey L. Miller, Olivier Guyon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

Differential OTF uses two images taken with a telescope pupil modification between them to measure the complex field over most of the pupil. If the pupil modification involves a non-negligible region of the pupil, the dOTF field is blurred by convolution with the complex conjugate of the pupil field change. In some cases, the convolution kernel, or difference field, can cause significant blurring. We explore using deconvolution to recover a highresolution measurement of the complex pupil field. In particular, by assuming we know something about the area and nature of the difference field, we can construct a Wiener filter that increases the resolution of the complex pupil field estimate in the presence of noise. By introducing a controllable pupil modification, such as actuating a telescope primary mirror segment in piston-tip-tilt to make the measurement, we explain added features to the difference field which can be used to increase the signal-to-noise ratio for information in arbitrary ranges of spatial frequency. We will present theory and numerical simulations to discuss key features of the difference field which lead to its utility for deconvolution of dOTF measurements.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
PublisherSPIE
Volume9605
ISBN (Print)9781628417715
DOIs
Publication statusPublished - 2015
EventTechniques and Instrumentation for Detection of Exoplanets VII - San Diego, United States
Duration: Aug 10 2015Aug 13 2015

Other

OtherTechniques and Instrumentation for Detection of Exoplanets VII
CountryUnited States
CitySan Diego
Period8/10/158/13/15

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Keywords

  • deconvolution
  • dOTF
  • segmented aperture telescopes
  • wavefront sensing
  • Wiener filter

ASJC Scopus subject areas

  • Applied Mathematics
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Knight, J. M., Rodack, A. T., Codona, J. L., Miller, K. L., & Guyon, O. (2015). Deconvolution of differential OTF (dOTF) to measure high-resolution wavefront structure. In Proceedings of SPIE - The International Society for Optical Engineering (Vol. 9605). [960529] SPIE. https://doi.org/10.1117/12.2189575