Superresolution Full-polarimetric Imaging for Radio Interferometry with Sparse Modeling

We propose a new technique for radio interferometry to obtain superresolution full-polarization images in all four Stokes parameters using sparse modeling. The proposed technique reconstructs the image in each Stokes parameter from the corresponding full-complex Stokes visibilities by utilizing two...

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Main Authors: Ikeda, Shiro, Tazaki, Fumie, Kuramochi, Kazuki, Broderick, Avery E., Dexter, Jason, Mościbrodzka, Monika, Honma, Mareki, Doeleman, Sheperd S., Akiyama, Kazunori, Pleau, Mollie, Fish, Vincent L., Gowanlock, Michael G
Other Authors: Haystack Observatory
Format: Article
Language:en_US
Published: IOP Publishing 2017
Online Access:http://hdl.handle.net/1721.1/109419
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author Ikeda, Shiro
Tazaki, Fumie
Kuramochi, Kazuki
Broderick, Avery E.
Dexter, Jason
Mościbrodzka, Monika
Honma, Mareki
Doeleman, Sheperd S.
Akiyama, Kazunori
Pleau, Mollie
Fish, Vincent L.
Gowanlock, Michael G
author2 Haystack Observatory
author_facet Haystack Observatory
Ikeda, Shiro
Tazaki, Fumie
Kuramochi, Kazuki
Broderick, Avery E.
Dexter, Jason
Mościbrodzka, Monika
Honma, Mareki
Doeleman, Sheperd S.
Akiyama, Kazunori
Pleau, Mollie
Fish, Vincent L.
Gowanlock, Michael G
author_sort Ikeda, Shiro
collection MIT
description We propose a new technique for radio interferometry to obtain superresolution full-polarization images in all four Stokes parameters using sparse modeling. The proposed technique reconstructs the image in each Stokes parameter from the corresponding full-complex Stokes visibilities by utilizing two regularization functions: the ℓ 1 norm and the total variation (TV) of the brightness distribution. As an application of this technique, we present simulated linear polarization observations of two physically motivated models of M87 with the Event Horizon Telescope. We confirm that ℓ 1+TV regularization can achieve an optimal resolution of ~25%–30% of the diffraction limit λ/D[subscript max], which is the nominal spatial resolution of a radio interferometer for both the total intensity (i.e., Stokes I) and linear polarizations (i.e., Stokes Q and U). This optimal resolution is better than that obtained from the widely used Cotton–Schwab CLEAN algorithm or from using ℓ 1 or TV regularizations alone. Furthermore, we find that ℓ 1+TV regularization can achieve much better image fidelity in linear polarization than other techniques over a wide range of spatial scales, not only in the superresolution regime, but also on scales larger than the diffraction limit. Our results clearly demonstrate that sparse reconstruction is a useful choice for high-fidelity full-polarimetric interferometric imaging.
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spelling mit-1721.1/1094192022-10-03T09:42:36Z Superresolution Full-polarimetric Imaging for Radio Interferometry with Sparse Modeling Ikeda, Shiro Tazaki, Fumie Kuramochi, Kazuki Broderick, Avery E. Dexter, Jason Mościbrodzka, Monika Honma, Mareki Doeleman, Sheperd S. Akiyama, Kazunori Pleau, Mollie Fish, Vincent L. Gowanlock, Michael G Haystack Observatory Akiyama, Kazunori Pleau, Mollie Fish, Vincent L. Gowanlock, Michael G We propose a new technique for radio interferometry to obtain superresolution full-polarization images in all four Stokes parameters using sparse modeling. The proposed technique reconstructs the image in each Stokes parameter from the corresponding full-complex Stokes visibilities by utilizing two regularization functions: the ℓ 1 norm and the total variation (TV) of the brightness distribution. As an application of this technique, we present simulated linear polarization observations of two physically motivated models of M87 with the Event Horizon Telescope. We confirm that ℓ 1+TV regularization can achieve an optimal resolution of ~25%–30% of the diffraction limit λ/D[subscript max], which is the nominal spatial resolution of a radio interferometer for both the total intensity (i.e., Stokes I) and linear polarizations (i.e., Stokes Q and U). This optimal resolution is better than that obtained from the widely used Cotton–Schwab CLEAN algorithm or from using ℓ 1 or TV regularizations alone. Furthermore, we find that ℓ 1+TV regularization can achieve much better image fidelity in linear polarization than other techniques over a wide range of spatial scales, not only in the superresolution regime, but also on scales larger than the diffraction limit. Our results clearly demonstrate that sparse reconstruction is a useful choice for high-fidelity full-polarimetric interferometric imaging. 2017-05-30T16:42:31Z 2017-05-30T16:42:31Z 2017-03 2017-01 Article http://purl.org/eprint/type/JournalArticle 1538-3881 0004-6256 http://hdl.handle.net/1721.1/109419 Akiyama, Kazunori; Ikeda, Shiro; Pleau, Mollie; Fish, Vincent L.; Tazaki, Fumie; Kuramochi, Kazuki; Broderick, Avery E. et al. “Superresolution Full-Polarimetric Imaging for Radio Interferometry with Sparse Modeling.” The Astronomical Journal 153, no. 4 (March 2017): 159 © 2017 The American Astronomical Society en_US http://dx.doi.org/10.3847/1538-3881/aa6302 The Astronomical Journal Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf IOP Publishing IOP Publishing
spellingShingle Ikeda, Shiro
Tazaki, Fumie
Kuramochi, Kazuki
Broderick, Avery E.
Dexter, Jason
Mościbrodzka, Monika
Honma, Mareki
Doeleman, Sheperd S.
Akiyama, Kazunori
Pleau, Mollie
Fish, Vincent L.
Gowanlock, Michael G
Superresolution Full-polarimetric Imaging for Radio Interferometry with Sparse Modeling
title Superresolution Full-polarimetric Imaging for Radio Interferometry with Sparse Modeling
title_full Superresolution Full-polarimetric Imaging for Radio Interferometry with Sparse Modeling
title_fullStr Superresolution Full-polarimetric Imaging for Radio Interferometry with Sparse Modeling
title_full_unstemmed Superresolution Full-polarimetric Imaging for Radio Interferometry with Sparse Modeling
title_short Superresolution Full-polarimetric Imaging for Radio Interferometry with Sparse Modeling
title_sort superresolution full polarimetric imaging for radio interferometry with sparse modeling
url http://hdl.handle.net/1721.1/109419
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