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Main Authors: Kumar, Vinay, Nityananda, Rajaram, Samuel, Joseph
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2407.00583
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author Kumar, Vinay
Nityananda, Rajaram
Samuel, Joseph
author_facet Kumar, Vinay
Nityananda, Rajaram
Samuel, Joseph
contents Aperture synthesis observations with full polarisation have long been used to study the magnetic fields of synchrotron emitting sources. Recently proposed closure invariants give us a powerful method for extracting information from measured visibilities which are corrupted by antenna and polarisation dependent gains. In this paper, a formalism developed earlier for complete graphs (where all visibilities are available) is extended to incomplete graphs. The formalism provides a complete and independent set of closure invariants from the measured visibilities in a general situation where not all visibilities are available. We then show in a simulated, quasi-realistic case that the invariants developed here contain usable information even in the presence of noise.
format Preprint
id arxiv_https___arxiv_org_abs_2407_00583
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Closure invariants for polarised radio interferometric observations: a graph theoretical approach
Kumar, Vinay
Nityananda, Rajaram
Samuel, Joseph
Instrumentation and Methods for Astrophysics
Aperture synthesis observations with full polarisation have long been used to study the magnetic fields of synchrotron emitting sources. Recently proposed closure invariants give us a powerful method for extracting information from measured visibilities which are corrupted by antenna and polarisation dependent gains. In this paper, a formalism developed earlier for complete graphs (where all visibilities are available) is extended to incomplete graphs. The formalism provides a complete and independent set of closure invariants from the measured visibilities in a general situation where not all visibilities are available. We then show in a simulated, quasi-realistic case that the invariants developed here contain usable information even in the presence of noise.
title Closure invariants for polarised radio interferometric observations: a graph theoretical approach
topic Instrumentation and Methods for Astrophysics
url https://arxiv.org/abs/2407.00583