Bayesian Imaging of Interferometric Data from Polarized Electromagnetic Signals

Fuente: arXiv
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Hauptverfasser: Arras, Philipp, Roth, Jakob, Reinecke, Martin, Perley, Richard A., Frolov, Andrei, Westermann, Rüdiger, Enßlin, Torsten A.
Format: Preprint
Veröffentlicht: 2025
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author Arras, Philipp
Roth, Jakob
Reinecke, Martin
Perley, Richard A.
Frolov, Andrei
Westermann, Rüdiger
Enßlin, Torsten A.
author_facet Arras, Philipp
Roth, Jakob
Reinecke, Martin
Perley, Richard A.
Frolov, Andrei
Westermann, Rüdiger
Enßlin, Torsten A.
contents We present an imaging algorithm for polarimetric interferometric data from radio telescopes. It is based on Bayesian statistics and thereby able to provide uncertainties and to incorporate prior information such as positivity of the total emission (Stokes I) or consistency constraints (polarized fraction can only be between 0% and 100%). By comparing our results to the output of the de-facto standard algorithm called CLEAN, we show that these constraints paired with a consistent treatment of measurement uncertainties throughout the algorithm significantly improve image quality. In particular, our method reveals that depolarization canals in CLEAN images do not necessarily indicate a true absence of polarized emission, e.g., after frequency averaging, but can also stem from uncertainty in the polarization direction. This demonstrates that our Bayesian approach can distinguish between true depolarization and mere uncertainty, providing a more informative representation of polarization structures.
format Preprint
id arxiv_https___arxiv_org_abs_2504_00227
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bayesian Imaging of Interferometric Data from Polarized Electromagnetic Signals
Arras, Philipp
Roth, Jakob
Reinecke, Martin
Perley, Richard A.
Frolov, Andrei
Westermann, Rüdiger
Enßlin, Torsten A.
Instrumentation and Methods for Astrophysics
We present an imaging algorithm for polarimetric interferometric data from radio telescopes. It is based on Bayesian statistics and thereby able to provide uncertainties and to incorporate prior information such as positivity of the total emission (Stokes I) or consistency constraints (polarized fraction can only be between 0% and 100%). By comparing our results to the output of the de-facto standard algorithm called CLEAN, we show that these constraints paired with a consistent treatment of measurement uncertainties throughout the algorithm significantly improve image quality. In particular, our method reveals that depolarization canals in CLEAN images do not necessarily indicate a true absence of polarized emission, e.g., after frequency averaging, but can also stem from uncertainty in the polarization direction. This demonstrates that our Bayesian approach can distinguish between true depolarization and mere uncertainty, providing a more informative representation of polarization structures.
title Bayesian Imaging of Interferometric Data from Polarized Electromagnetic Signals
topic Instrumentation and Methods for Astrophysics
url https://arxiv.org/abs/2504.00227