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 Citations (Scopus)

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
StatePublished - 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

Fingerprint

optical transfer function
Deconvolution
pupils
Wavefronts
Wave Front
High Resolution
Convolution
Telescopes
high resolution
Pistons
Signal to noise ratio
Mirrors
convolution integrals
Telescope
Computer simulation
telescopes
Wiener Filter
blurring
Tip-tilt
Complex conjugate

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

Deconvolution of differential OTF (dOTF) to measure high-resolution wavefront structure. / Knight, Justin M.; Rodack, Alexander T.; Codona, Johanan L.; Miller, Kelsey L.; Guyon, Olivier.

Proceedings of SPIE - The International Society for Optical Engineering. Vol. 9605 SPIE, 2015. 960529.

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

Knight, JM, Rodack, AT, Codona, JL, Miller, KL & 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, Techniques and Instrumentation for Detection of Exoplanets VII, San Diego, United States, 8/10/15. https://doi.org/10.1117/12.2189575
Knight JM, Rodack AT, Codona JL, Miller KL, Guyon O. Deconvolution of differential OTF (dOTF) to measure high-resolution wavefront structure. In Proceedings of SPIE - The International Society for Optical Engineering. Vol. 9605. SPIE. 2015. 960529 https://doi.org/10.1117/12.2189575
Knight, Justin M. ; Rodack, Alexander T. ; Codona, Johanan L. ; Miller, Kelsey L. ; Guyon, Olivier. / Deconvolution of differential OTF (dOTF) to measure high-resolution wavefront structure. Proceedings of SPIE - The International Society for Optical Engineering. Vol. 9605 SPIE, 2015.
@inproceedings{2c52490d051a42438ec1787bcd56118a,
title = "Deconvolution of differential OTF (dOTF) to measure high-resolution wavefront structure",
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.",
keywords = "deconvolution, dOTF, segmented aperture telescopes, wavefront sensing, Wiener filter",
author = "Knight, {Justin M.} and Rodack, {Alexander T.} and Codona, {Johanan L.} and Miller, {Kelsey L.} and Olivier Guyon",
year = "2015",
doi = "10.1117/12.2189575",
language = "English (US)",
isbn = "9781628417715",
volume = "9605",
booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",

}

TY - GEN

T1 - Deconvolution of differential OTF (dOTF) to measure high-resolution wavefront structure

AU - Knight, Justin M.

AU - Rodack, Alexander T.

AU - Codona, Johanan L.

AU - Miller, Kelsey L.

AU - Guyon, Olivier

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - deconvolution

KW - dOTF

KW - segmented aperture telescopes

KW - wavefront sensing

KW - Wiener filter

UR - http://www.scopus.com/inward/record.url?scp=84960893495&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84960893495&partnerID=8YFLogxK

U2 - 10.1117/12.2189575

DO - 10.1117/12.2189575

M3 - Conference contribution

AN - SCOPUS:84960893495

SN - 9781628417715

VL - 9605

BT - Proceedings of SPIE - The International Society for Optical Engineering

PB - SPIE

ER -