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arxiv: 2606.18333 · v1 · pith:GHOVSJ7Rnew · submitted 2026-06-16 · 🌌 astro-ph.IM

Polarisation and Faraday rotation measure imaging at metre wavelengths with sub-arcsecond resolution: a foundational calibration strategy

R. J. van Weeren , J. M. G. H. J. de Jong , X. K Le Saux , V. A. Chakawri , Q. W. E. van Zegveld , D. de Jong , S. P. O'Sullivan , F. Sweijen
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V. H. Mahatma E. De Rubeis L. K. Morabito D. Alonso-L\'opez A. Bonafede C. Horellou M. van der Wild
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Pith reviewed 2026-06-26 22:22 UTC · model grok-4.3

classification 🌌 astro-ph.IM
keywords LOFARpolarimetryFaraday rotation measurecalibrationsub-arcsecond resolutionradio interferometrylow-frequency observationscircular polarisation
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The pith

A calibration strategy using in-field unpolarised calibrators enables sub-arcsecond polarimetric imaging with the full LOFAR array.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper describes a method to achieve full-resolution polarimetry at metre wavelengths by correcting international LOFAR stations with full-Jones matrices derived from an in-field unpolarised calibrator. When a bright polarised source exists in the field, a visibility-based correction aligns multiple epochs in Faraday depth, accounting for angle and rotation measure offsets. This permits deeper combined imaging and deconvolution than previously possible at 6 arcsec scales. The approach is demonstrated on four 8-hour observations of the ELAIS-N1 field, resolving known polarised sources, identifying new ones, and detecting circular polarisation from CR Draconis while tracking its proper motion. The result shows that sub-arcsecond polarimetry is now practical for studying magnetic fields and compact object emission.

Core claim

Full-Jones corrections applied to international stations via an in-field unpolarised calibrator, together with visibility-based multi-epoch alignment in Faraday depth when a sufficiently bright polarised source is present, enable polarimetric imaging at 0.3 arcsec resolution. This was validated by combining 32 hours of LOFAR data on ELAIS-N1, detecting and resolving polarised emission regions with sub-arcsecond precision and measuring circular polarisation from an M-dwarf binary.

What carries the argument

Full-Jones calibration from an in-field unpolarised calibrator plus visibility-based Faraday-depth alignment of multi-epoch data.

If this is right

  • Combined multi-epoch data reach greater depth for imaging and deconvolution of polarised structures.
  • Polarised sources can be resolved into multiple components with sub-arcsecond localisation.
  • New polarised sources become detectable that were missed at lower resolution.
  • Circular polarisation and proper motion can be measured for compact objects such as M-dwarf binaries.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same corrections could be tested on other long-baseline low-frequency arrays to extend high-resolution polarimetry beyond LOFAR.
  • Fields without a bright polarised source might still benefit from single-epoch full-Jones corrections alone.
  • The method may improve studies of Faraday rotation in extended sources by reducing beam depolarisation at metre wavelengths.

Load-bearing premise

An in-field unpolarised calibrator must be available and bright enough to derive full-Jones corrections, and a sufficiently bright polarised source must be present for epoch alignment.

What would settle it

Apply the same strategy to a field lacking both an in-field unpolarised calibrator and a bright polarised source, then check whether sub-arcsecond polarimetric images can still be formed and aligned across epochs.

Figures

Figures reproduced from arXiv: 2606.18333 by A. Bonafede, C. Horellou, D. Alonso-L\'opez, D. de Jong, E. De Rubeis, F. Sweijen, J. M. G. H. J. de Jong, L. K. Morabito, M. van der Wild, Q. W. E. van Zegveld, R. J. van Weeren, S. P. O'Sullivan, V. A. Chakawri, V. H. Mahatma, X. K Le Saux.

Figure 1
Figure 1. Figure 1: Location of the sources discussed in this work within the ELAIS￾N1 field. The unpolarised calibrator is ICRF J160607.6+552135, and the polarised calibrator is 7C 1604+5447. The cross marks the field centre, while the dashed circle indicates a radius of 1 ◦ . imager with its wgridder module (Offringa et al. 2014; Arras et al. 2021; Ye et al. 2022). 3 CALIBRATION The polarisation calibration of LOFAR interna… view at source ↗
Figure 2
Figure 2. Figure 2: Stokes 𝑄, 𝑈, and 𝑉 images of the unpolarized infield calibrator ICRF J160607.6+552135 with full-Jones calibration applied (right panels) and without (left panels). A 10′′ scale bar is added in the right panels. calibrator, such as the sources discussed in Sects. 3.2 and 4, we al￾ways apply the additional direction-dependent corrections derived in de Jong et al. (2024). These are scalar corrections and are … view at source ↗
Figure 3
Figure 3. Figure 3: The polarisation angle (𝜒) as a function of the wavelength squared (𝜆 2 ) for our reference observation L686962 in green and the three other observations in black. 30 20 10 0 10 20 30 Faraday depth [rad m 2 ] 0.2 0.0 0.2 0.4 0.6 0.8 1.0 RMSF [normalized units] Rotation Measure Spread Function (RMSF) Amplitude Real Imaginary [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Rotation Measure Spread Function (RMSF) corresponding to the observations used in this work. The RMSF amplitude is shown by the black solid line. The real component is indicated by the red dashed line, and the imaginary component by the blue dotted line. For polarised source components detected in the Faraday cubes, we performed an additional one-dimensional RM-synthesis step on each detected feature, rath… view at source ↗
Figure 5
Figure 5. Figure 5: Left panel: Stokes 𝐼 image of 7C 1604+5447 at a resolution of 0.3′′. Linearly polarised intensity contours are overlaid at levels of 6 × 𝜎rms,P [1, 2, 4, 8, . . .], with 𝜎rms,P = 8 µJy beam−1 the noise level in the polarised intensity image. Right panel: Faraday dispersion function for various regions across the source. To improve visibility, the spectra corresponding to the fainter northern hotspot and “l… view at source ↗
Figure 6
Figure 6. Figure 6: Comparison of polarised intensity images extracted from the Fara￾day cube at a Faraday depth of RM = 6 rad m−2 , shown at angular resolutions of 6 ′′ (colour scale) and 0.3 ′′ (contours). Contours are drawn at levels of 5, 𝜎rms,P, [1, 2, 4, 8, . . .], where 𝜎rms,P denotes the rms noise in polarised intensity. The 6 ′′ image was obtained by excluding the international stations prior to imaging. the adopted … view at source ↗
Figure 7
Figure 7. Figure 7: Left panels:Polarisation properties of 7C 1604+5447 as a function of 𝜆 2 . From top to bottom, the panels show the Stokes 𝐼, 𝑄, and 𝑈 flux densities; a zoom-in of the 𝑄 and 𝑈 flux densities; the polarisation angle; and the polarisation fraction, defined as √︁ 𝑄2 + 𝑈2/𝐼. A corresponding model fit (Eq. 11) to these quantities is shown with solid lines. Arrows indicate lower limits on the polarisation fractio… view at source ↗
Figure 8
Figure 8. Figure 8: Left panel: Stokes 𝐼 image of 4C +55.32 at a resolution of 0.3′′. White contours show the linearly polarised intensity at levels of 15 × 𝜎rms,P [1, 2, 4, 8, . . .], where 𝜎rms,P = 10 µJy beam−1 is the rms noise in the polarised intensity image. Right panel: Faraday dispersion functions extracted from the northern (red) and southern (black) hotspot regions. The spectrum from the northern hotspot peaks close… view at source ↗
Figure 9
Figure 9. Figure 9: Top panel: Stokes 𝐼 image of 7C 1607+5402 at a resolution of 1.2′′. White contours indicate the linearly polarised intensity at levels of 6 × 𝜎rms,P [1, 2, 4, 8, . . .], where 𝜎rms,P = 12 µJy beam−1 is the rms noise in the polarised intensity image. Middle: Stokes 𝐼 image of 7C 1607+5402 at a resolution of 0.4′′. White contours show the linearly polarised intensity from the 1.2′′-resolution polarised inten… view at source ↗
Figure 10
Figure 10. Figure 10: Proper motion of CR Draconis across the four ELAIS-N1 observations at 0.57′′×0.55′′ resolution, imaged in Stokes 𝑉. The yellow line indicates the four positions of the sources from the four observations, fitted with PyBDSF (Mohan & Rafferty 2015). The light green vector indicates the proper motion over 2.5 years (87.97 mas/yr, -430.963 mas/yr) from Gaia (Gaia Collaboration 2022). The beam shape is indicat… view at source ↗
Figure 11
Figure 11. Figure 11: Polarisation angles obtained from fits to the peaks of the RM spectra for eight 1 h subsets of the four observations. of Science and Higher Education, Poland; The Istituto Nazionale di Astrofisica (INAF), Italy. This research made use of the Dutch national e-infrastructure with support of the SURF Cooperative (e-infra 180169) and the LOFAR e-infra group. The Jülich LOFAR Long Term Archive and the Ger￾man … view at source ↗
Figure 12
Figure 12. Figure 12: Polarisation angles obtained from a fit to the peak of the RM spectrum for a 1 hr subset of the L798074 data (timestep 2, covering the period 2–3 hr from the start of the observation). The orange lines show fits to models generated from ten synthetic data sets, created by randomly drawing Stokes 𝑄 and 𝑈 channel flux densities from normal distributions defined by the observed values and their uncertainties… view at source ↗
read the original abstract

Low-frequency radio polarimetric observations provide a powerful probe of magnetic fields in astrophysical sources and the intervening medium, as well as magnetospheric emission from compact objects such as pulsars, magnetically active stars, brown dwarfs, and planetary aurorae. With baselines of up to 2000 km, LOFAR offers a unique opportunity to study the low-frequency polarised Universe at sub-arcsecond resolution. However, polarimetric studies with LOFAR have so far been limited to angular resolutions of about 6 arcsec, resulting in stronger beam depolarisation. Here we present a calibration strategy that enables full-resolution polarimetric imaging with the LOFAR pan-European array. Our method applies full-Jones corrections to the international stations using an in-field unpolarised calibrator. In addition, when a sufficiently bright polarised source is present in the field, multi-epoch observations can be aligned in Faraday depth using a visibility-based correction that accounts for polarisation angle and rotation measure offsets. This approach enables deeper combined imaging and deconvolution. We apply this strategy to the LOFAR ELAIS-N1 field, combining four 8 h observations for a total integration time of 32 h. At 0.3 arcsec resolution, we detect two previously known polarised sources identified in lower-resolution studies, resolve additional polarised components, and localise emission regions with sub-arcsecond precision. We also identify a new polarised source and detect circularly polarised emission from the binary M-dwarf system CR Draconis, measuring its proper motion across epochs. These results demonstrate that sub-arcsecond polarimetry at metre wavelengths is now feasible with LOFAR, opening new science opportunities in the LOFAR2.0 era.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper presents a calibration strategy for full-resolution polarimetric imaging with the LOFAR pan-European array at metre wavelengths. It applies full-Jones corrections to international stations using an in-field unpolarised calibrator and, when a bright polarised source is present, uses a visibility-based correction to align multi-epoch observations in Faraday depth. The method is demonstrated on four 8-hour observations of the ELAIS-N1 field (total 32 h), achieving 0.3 arcsec resolution to detect and resolve previously known polarised sources, identify a new one, and measure circular polarisation and proper motion from CR Draconis.

Significance. If the calibration approach proves robust, it would enable sub-arcsecond polarimetry at low frequencies, reducing beam depolarisation and opening new science cases for LOFAR2.0. The demonstration on real data from ELAIS-N1 provides concrete evidence that the strategy can succeed when suitable calibrators are available, including detection of resolved components and circular polarisation.

major comments (2)
  1. [Calibration Strategy / Abstract] The central claim that the strategy enables sub-arcsecond polarimetry rests on the availability of an in-field unpolarised calibrator for full-Jones corrections on international stations (abstract and calibration strategy section). The ELAIS-N1 demonstration succeeds under these conditions, but the manuscript provides no quantitative assessment of how frequently such calibrators exist across typical fields or the effect of even modest residual polarisation in the calibrator on leakage and direction-dependent errors.
  2. [Multi-epoch Alignment / Results] The multi-epoch Faraday-depth alignment claim is conditional on the presence of a sufficiently bright polarised source (abstract). While the paper shows this works for ELAIS-N1, there is no discussion of how often this second condition holds or how residual RM/angle offsets propagate into the combined imaging when the assumption is only approximately met.
minor comments (2)
  1. [Abstract / Methods] The abstract and results section would benefit from explicit statements on the assumed polarisation fraction threshold for the 'unpolarised' calibrator and any leakage tolerance used in the full-Jones solutions.
  2. [Results] Figure captions and text should clarify whether the reported detections include any post-selection criteria or if all sources above a fixed S/N threshold were examined.

Simulated Author's Rebuttal

2 responses · 3 unresolved

We thank the referee for their constructive comments and positive assessment of the work's significance. We respond point-by-point to the major comments below.

read point-by-point responses

  1. Referee: [Calibration Strategy / Abstract] The central claim that the strategy enables sub-arcsecond polarimetry rests on the availability of an in-field unpolarised calibrator for full-Jones corrections on international stations (abstract and calibration strategy section). The ELAIS-N1 demonstration succeeds under these conditions, but the manuscript provides no quantitative assessment of how frequently such calibrators exist across typical fields or the effect of even modest residual polarisation in the calibrator on leakage and direction-dependent errors.

    Authors: We agree the method requires an in-field unpolarised calibrator and present it as a demonstration under those conditions, as explicitly stated. The paper does not claim universality across all fields. A quantitative sky-wide assessment of calibrator frequency or the precise impact of small residual polarisation would require a dedicated multi-field survey or extensive simulations, which lies outside the scope of this foundational calibration paper. We will add a clarifying sentence in the discussion section emphasising the required conditions and assumptions. revision: partial

  2. Referee: [Multi-epoch Alignment / Results] The multi-epoch Faraday-depth alignment claim is conditional on the presence of a sufficiently bright polarised source (abstract). While the paper shows this works for ELAIS-N1, there is no discussion of how often this second condition holds or how residual RM/angle offsets propagate into the combined imaging when the assumption is only approximately met.

    Authors: The alignment technique is presented as applicable when a sufficiently bright polarised source is available, which holds for the demonstrated ELAIS-N1 data. We show successful application but do not claim it applies universally. Quantifying occurrence rates or performing a full propagation analysis of small residual offsets would require additional statistical studies or error simulations not part of the current manuscript. We will insert a brief note on the assumptions and limitations in the revised text. revision: partial

standing simulated objections not resolved
  • Quantitative assessment of how frequently suitable in-field unpolarised calibrators exist across typical fields.
  • Quantitative assessment of the effect of even modest residual polarisation in the calibrator on leakage and direction-dependent errors.
  • Discussion of how often the bright polarised source condition holds or how residual RM/angle offsets propagate into combined imaging.

Circularity Check

0 steps flagged

No significant circularity; method is a practical calibration strategy tested on data

full rationale

The paper presents a calibration strategy for sub-arcsecond polarimetric imaging with LOFAR, relying on full-Jones corrections from an in-field unpolarised calibrator and optional visibility-based Faraday depth alignment when a bright polarised source is available. It demonstrates the approach on four epochs of ELAIS-N1 observations, detecting known and new sources. No load-bearing derivations, predictions, or uniqueness theorems are claimed that reduce to inputs by construction. No self-citation chains or ansatzes smuggled via prior work are used to justify core results. The strategy's applicability depends on source availability (an external assumption), but the paper does not rename known results or fit parameters then relabel them as predictions. The derivation chain is self-contained as an empirical method description.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on domain assumptions about the availability and suitability of calibrators and polarised sources in the target field; no free parameters or invented entities are evident from the abstract.

axioms (2)
  • domain assumption An in-field unpolarised calibrator is available and suitable for full-Jones corrections on international stations.
    Central to applying the corrections described in the abstract.
  • domain assumption A sufficiently bright polarised source is present in the field for multi-epoch alignment in Faraday depth.
    Required for the visibility-based correction to align epochs.

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discussion (0)

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