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arxiv: 2606.28221 · v1 · pith:DR5CDR63new · submitted 2026-06-26 · 🌌 astro-ph.IM

Faraday Tomography with the SKA: A New Era of Cosmic Magnetism Studies

Miguel Carcamo , Anna M. M. Scaife , Jeroen Stil , Russ Taylor , Jennifer L. West , Tessa Vernstrom This is my paper

Pith reviewed 2026-06-29 02:06 UTC · model grok-4.3

classification 🌌 astro-ph.IM
keywords Faraday tomographySquare Kilometre Arraycosmic magnetismFaraday rotationradio astronomygalaxy clusterscosmic web
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The pith

The SKA's AA4 stage with 197 dishes will enable high-resolution Faraday tomography of magnetic structures in galaxies, clusters, and the cosmic web.

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

This review traces the development of Faraday Rotation and Faraday Measurement Synthesis techniques and shows their role in mapping cosmic magnetic fields. It focuses on the Square Kilometre Array's Array Assembly 4 configuration of 197 dishes with 40 km baselines and frequency coverage from 350 MHz to 15.4 GHz, which provides Band 1 Faraday depth resolution of about 2.5 rad m^{-2}. The paper also covers the earlier AA* stage, synergies with image synthesis, and simulation results that illustrate the capabilities for multi-scale studies across different cosmic environments.

Core claim

The SKA Array Assembly 4, with 197 dishes (133 SKA, 64 MeerKAT), 40 km maximum baselines, and frequency coverage from 350 MHz to 15.4 GHz, will enable high-resolution Faraday tomography of magnetic structures in galaxies, clusters, and the cosmic web, with Band 1 offering the finest resolution of approximately 2.5 rad m^{-2} and a maximum observable depth around 174,708 rad m^{-2}, while other bands support multi-scale observations.

What carries the argument

Faraday Measurement Synthesis, which reconstructs the Faraday dispersion function from broadband polarization data to map magnetic field structures as a function of Faraday depth.

If this is right

  • High-resolution mapping of magnetic fields becomes feasible in individual galaxies and clusters.
  • Multi-band observations will allow probing of both small-scale and large-scale magnetic structures.
  • Synergies between Faraday Measurement Synthesis and image synthesis will improve reconstruction of three-dimensional field geometries.
  • Simulations indicate the SKA can detect magnetic features in the cosmic web that current telescopes cannot resolve.

Where Pith is reading between the lines

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

  • These observations could distinguish between different models for the amplification and maintenance of cosmic magnetic fields over time.
  • The techniques may be adapted to study magnetic fields in other large-scale structures once similar wideband instruments are available.
  • Combined with optical or X-ray data, the results could test predictions from magnetohydrodynamic simulations of galaxy and cluster formation.

Load-bearing premise

The SKA will be constructed and operated according to the planned AA4 configuration with the specified number of dishes, baseline lengths, and frequency bands.

What would settle it

Deployment of the SKA with substantially fewer than 197 dishes, shorter than 40 km baselines, or narrower frequency coverage than 350 MHz to 15.4 GHz would prevent the claimed high-resolution Faraday tomography.

Figures

Figures reproduced from arXiv: 2606.28221 by Anna M. M. Scaife, Jennifer L. West, Jeroen Stil, Miguel Carcamo, Russ Taylor, Tessa Vernstrom.

Figure 1
Figure 1. Figure 1: Thin source observed with SKA-Low (50–350 MHz). Top row: reference (no RFI). Bottom row: with simulated RFI (30% of channels removed in contiguous segments to mimic flagging). Left: polarisation (in Jy) vs 𝜆 2 . Right: Faraday depth spectrum including the intrinsic model (ground truth; pink dash-dotted curve), dirty and restored |𝐹(𝜙)|, and residuals (grey dashed lines indicate 2𝜎, 3𝜎, and 5𝜎 in Faraday de… view at source ↗
Figure 2
Figure 2. Figure 2: Thick source observed with SKA-Mid Band 2 (950–1760 MHz). Top row: reference (no RFI). Bottom row: with simulated RFI (20% of channels removed in contiguous segments to mimic flagging). Left: polarisation (in Jy) vs 𝜆 2 . Right: Faraday depth spectrum including the intrinsic model (ground truth; pink dash-dotted curve), dirty and restored |𝐹(𝜙)|, and residuals (grey dashed lines indicate 2𝜎, 3𝜎, and 5𝜎 in … view at source ↗
Figure 3
Figure 3. Figure 3: Mixed source observed with SKA-Mid Band 5b (8.3–15.4 GHz). Top row: reference (no RFI). Bottom row: with simulated RFI (10% of channels removed in contiguous segments to mimic flagging). Left: polarisation (in Jy) vs 𝜆 2 . Right: Faraday depth spectrum including the intrinsic model (ground truth; pink dash-dotted curve), dirty and restored |𝐹(𝜙)|, and residuals (grey dashed lines indicate 2𝜎, 3𝜎, and 5𝜎 in… view at source ↗
Figure 4
Figure 4. Figure 4: Depolarisation for a thin source with SKA-Low (50–350 MHz). Top row: reference (no depolarisation). Bottom row: with depolarisation. Left: polarisation (in Jy) vs 𝜆 2 . Right: Faraday depth spectrum including the intrinsic model (ground truth; pink dash-dotted curve), dirty and restored |𝐹(𝜙)|, and residuals (grey dashed lines indicate 2𝜎, 3𝜎, and 5𝜎 in Faraday depth). Input: 𝜙 = 15 rad m−2 , peak intensit… view at source ↗
Figure 5
Figure 5. Figure 5: Depolarisation for a thin source with SKA-Mid Band 2 (950–1760 MHz). Top row: reference (no depolarisation). Bottom row: with depolarisation. Left: polarisation (in Jy) vs 𝜆 2 . Right: Faraday depth spectrum including the intrinsic model (ground truth; pink dash-dotted curve), dirty and restored |𝐹(𝜙)|, and residuals (grey dashed lines indicate 2𝜎, 3𝜎, and 5𝜎 in Faraday depth). Input: 𝜙 = 15 rad m−2 , peak… view at source ↗
read the original abstract

The Square Kilometre Array (SKA) represents a significant advancement in radio astronomy, enabling detailed study of cosmic magnetism through Faraday Rotation and Faraday Measurement Synthesis. This chapter provides a comprehensive review of these techniques, tracing their development and illustrating their crucial role in investigating magnetic fields across different cosmic environments. We focus on Array Assembly 4 (AA4), the final deployment stage, featuring 197 dishes (133 SKA, 64 MeerKAT) with 40 km maximum baselines and frequency coverage from 350 MHz to 15.4 GHz (goal: 24 GHz). These capabilities enable high-resolution Faraday tomography of magnetic structures in galaxies, clusters, and the cosmic web. We also highlight the earlier AA* stage with 144 dishes (80 SKA, 64 MeerKAT). Band 1 (350--1050 MHz) offers the finest Faraday depth resolution among the dish bands (full resolution $\sim$2.5 rad m$^{-2}$) with a maximum observable depth around 174,708 rad m$^{-2}$. Other bands (Band 2, Band 5a, Band 5b) enable multi-scale studies, probing larger structures with lower resolution but higher maximum depths. We discuss synergies between Faraday Measurement Synthesis and Image Synthesis techniques, showing how they complement each other in reconstructing magnetic field structures. Simulation results demonstrate the SKA's potential for high-resolution observations. We explore possible enhancements beyond the baseline configuration and synergies with other observatories, emphasizing multi-wavelength astronomy. This chapter aims to provide a thorough account of how the SKA's phased deployment from AA* to AA4 will transform our understanding of cosmic magnetic fields and drive new discoveries in astrophysics.

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

0 major / 2 minor

Summary. The manuscript is a review chapter on Faraday Rotation and Faraday Measurement Synthesis techniques for cosmic magnetism studies with the Square Kilometre Array (SKA). It traces technique development and focuses on the Array Assembly 4 (AA4) configuration (197 dishes including 133 SKA and 64 MeerKAT, 40 km baselines, 350 MHz–15.4 GHz coverage with goal 24 GHz), claiming these specs enable high-resolution Faraday tomography of magnetic structures in galaxies, clusters, and the cosmic web. It provides quantitative estimates such as Band 1 Faraday depth resolution of ~2.5 rad m^{-2} and maximum observable depth ~174708 rad m^{-2}, discusses multi-band synergies (Band 2, 5a, 5b), complementarity with Image Synthesis, simulation results, possible enhancements, and synergies with other observatories. The earlier AA* stage (144 dishes) is also noted.

Significance. If the claims hold, the review would serve as a useful reference summarizing how SKA's phased deployment advances Faraday tomography. It gives explicit credit to standard RM-synthesis formulas and cited simulations for supporting the observational potential, and highlights multi-scale probing and multi-wavelength astronomy synergies.

minor comments (2)
  1. [Abstract] Abstract and § on Band 1: the quoted Faraday depth resolution of ~2.5 rad m^{-2} and maximum depth of 174708 rad m^{-2} are presented as derived from frequency coverage, but the manuscript does not show the explicit formula or step-by-step calculation (e.g., via λ^{2} coverage or δλ^{2}); adding a short derivation or direct citation to the standard RM-synthesis reference would strengthen the quantitative claims without altering the review nature.
  2. [Introduction or AA4 description section] The review assumes the final AA4 configuration will match the stated dish count, baseline lengths, and frequency bands exactly; while this is standard for planning documents, a brief note on contingency if deployment deviates would improve robustness.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive assessment of our review chapter on Faraday Tomography with the SKA, including the detailed summary of the AA4 configuration capabilities, quantitative estimates, and synergies discussed. We appreciate the recommendation for minor revision. No specific major comments were listed in the report, so there are no individual points requiring detailed rebuttal or manuscript changes at this stage.

Circularity Check

0 steps flagged

No significant circularity identified

full rationale

This is a descriptive review paper outlining SKA AA4 capabilities for Faraday tomography using standard RM-synthesis formulas applied to planned frequency bands and baselines. No derivations, fitted parameters, predictions, or self-citations function as load-bearing steps that reduce to the paper's own inputs by construction. All numerical results (e.g., Faraday depth resolution) follow directly from external instrument specifications and established techniques without internal circular reduction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

As a review paper, the content rests on standard domain knowledge in radio astronomy rather than new postulates. No free parameters, invented entities, or ad-hoc axioms are introduced by the authors.

axioms (1)
  • domain assumption Established principles of Faraday rotation and measurement synthesis in radio astronomy hold as described in the literature.
    The review relies on these standard techniques without re-deriving them.

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Works this paper leans on

300 extracted references · 167 canonical work pages · 7 internal anchors

  1. [1]

    Multi-GPU Reconstruction of Dynamic Compressed Sensing MRI

    Quan, Tran Minh and Han, Sohyun and Cho, Hyungjoon and Jeong, Won-Ki. Multi-GPU Reconstruction of Dynamic Compressed Sensing MRI. Medical Image Computing and Computer-Assisted Intervention -- MICCAI 2015. 2015

    2015

  2. [2]

    Monthly Notices of the Royal Astronomical Society , volume =

    Mesarcik, Michael and Boonstra, Albert-Jan and Ranguelova, Elena and van Nieuwpoort, Rob V , title = ". Monthly Notices of the Royal Astronomical Society , volume =. 2022 , month =. doi:10.1093/mnras/stac2503 , url =

    work page doi:10.1093/mnras/stac2503 2022

  3. [3]

    Monthly Notices of the Royal Astronomical Society , volume =

    O'Sullivan, S P and Shimwell, T W and Hardcastle, M J and Tasse, C and Heald, G and Carretti, E and Brüggen, M and Vacca, V and Sobey, C and Van Eck, C L and Horellou, C and Beck, R and Bilicki, M and Bourke, S and Botteon, A and Croston, J H and Drabent, A and Duncan, K and Heesen, V and Ideguchi, S and Kirwan, M and Lawlor, L and Mingo, B and Nikiel-Wro...

    work page doi:10.1093/mnras/stac3820 2023

  4. [4]

    Monthly Notices of the Royal Astronomical Society , volume =

    Rudnick, Lawrence and Cotton, W D , title =. Monthly Notices of the Royal Astronomical Society , volume =. 2023 , month =. doi:10.1093/mnras/stad1090 , url =

    work page doi:10.1093/mnras/stad1090 2023

  5. [5]

    Monthly Notices of the Royal Astronomical Society , volume =

    Taylor, A R and Sekhar, S and Heino, L and Scaife, A M M and Stil, J and Bowles, M and Jarvis, M and Heywood, I and Collier, J D , title =. Monthly Notices of the Royal Astronomical Society , volume =. 2024 , month =. doi:10.1093/mnras/stae169 , url =

    work page doi:10.1093/mnras/stae169 2024

  6. [6]

    Offringa, A. R. and Smirnov, O. , title = ". Monthly Notices of the Royal Astronomical Society , volume =. 2017 , month =. doi:10.1093/mnras/stx1547 , url =

    work page doi:10.1093/mnras/stx1547 2017

  7. [7]

    Publications of the Astronomical Society of Japan , volume =

    Miyashita, Yoshimitsu and Ideguchi, Shinsuke and Takahashi, Keitaro , title = ". Publications of the Astronomical Society of Japan , volume =. 2016 , month =. doi:10.1093/pasj/psw039 , url =

    work page doi:10.1093/pasj/psw039 2016

  8. [8]

    and Sutton, B.P

    Fessler, J.A. and Sutton, B.P. , journal=. Nonuniform fast Fourier transforms using min-max interpolation , year=

  9. [9]

    Monthly Notices of the Royal Astronomical Society , year = 1990, month = oct, volume = 246, pages =

    Multi-Frequency Synthesis - a New Technique in Radio Interferometric Imaging. Monthly Notices of the Royal Astronomical Society , year = 1990, month = oct, volume = 246, pages =

    1990

  10. [10]

    SIAM Review , Year =

    Solving Ill-Conditioned and Singular Linear Systems: A Tutorial on Regularization , Author =. SIAM Review , Year =

  11. [11]

    , eprint =

    Searches for Fast Radio Transients. , eprint =. doi:10.1086/378231 , adsurl =

    work page doi:10.1086/378231

  12. [12]

    I., Brien K

    Compressed sensing imaging techniques for radio interferometry. Monthly Notices of the Royal Astronomical Society , archivePrefix = "arXiv", eprint =. doi:10.1111/j.1365-2966.2009.14665.x , adsurl =

    work page doi:10.1111/j.1365-2966.2009.14665.x 2009

  13. [13]

    D’Avanzo, et al., A complete sample of bright Swift Gamma-Ray Bursts: X-ray afterglow luminosity and its correlation with the prompt emission

    Sparsity Averaging Reweighted Analysis (SARA): a novel algorithm for radio-interferometric imaging. Monthly Notices of the Royal Astronomical Society , archivePrefix = "arXiv", eprint =. doi:10.1111/j.1365-2966.2012.21605.x , adsurl =

    work page doi:10.1111/j.1365-2966.2012.21605.x 2012

  14. [14]

    Monthly Notices of the Royal Astronomical Society , archivePrefix = "arXiv", eprint =

    Revisiting the spread spectrum effect in radio interferometric imaging: a sparse variant of the w-projection algorithm. Monthly Notices of the Royal Astronomical Society , archivePrefix = "arXiv", eprint =. doi:10.1093/mnras/stt1707 , adsurl =

    work page doi:10.1093/mnras/stt1707

  15. [15]

    and van der Plas, G

    Casassus, S. and van der Plas, G. and. Nature , Year =

  16. [16]

    Monthly Notices of the Royal Astronomical Society , archivePrefix = "arXiv", eprint =

    PURIFY: a new approach to radio-interferometric imaging. Monthly Notices of the Royal Astronomical Society , archivePrefix = "arXiv", eprint =. doi:10.1093/mnras/stu202 , adsurl =

    work page doi:10.1093/mnras/stu202

  17. [17]

    Canovas and M

    H. Canovas and M. R. Schreiber and C. Caceres and F. Menard and C. Pinte and G. S. Mathews and L. Cieza and S. Casassus and A. Hales and J. P. Williams and P. Roman and A. Hardy , title=. The Astrophysical Journal , volume=

  18. [18]

    Casassus and S

    S. Casassus and S. Marino and S. Perez and P. Roman and A. Dunhill and P. Armitage and J. Cuadra and A. Wootten and G. van der Plas and L. Cieza and V. Moral and V. Christiaens and M. Montesinos , title=. The Astrophysical Journal , volume=

  19. [19]

    , archivePrefix = "arXiv", eprint =

    Identifying the source of perytons at the Parkes radio telescope. , archivePrefix = "arXiv", eprint =. doi:10.1093/mnras/stv1242 , adsurl =

    work page doi:10.1093/mnras/stv1242

  20. [20]

    Marino and S

    S. Marino and S. Casassus and S. Perez and W. Lyra and P. E. Roman and H. Avenhaus and C. M. Wright and S. T. Maddison , title=. The Astrophysical Journal , volume=. 2015 , note=

    2015

  21. [21]

    Perez and S

    S. Perez and S. Casassus and F. Menard and P. Roman and G. van der Plas and L. Cieza and C. Pinte and V. Christiaens and A. S. Hales , title=. The Astrophysical Journal , volume=

  22. [22]

    Casassus and C

    S. Casassus and C. Wright and S. Marino and S. T. Maddison and A. Wootten and P. Roman and S. Perez and P. Pinilla and M. Wyatt and V. Moral and F. Menard and V. Christiaens and L. Cieza and G. van der Plas , title=. The Astrophysical Journal , volume=

  23. [23]

    Perez and A

    S. Perez and A. Dunhill and S. Casassus and P. Roman and J. Szulagyi and C. Flores and S. Marino and M. Montesinos , title=. The Astrophysical Journal , volume=. 2015 , Note=

    2015

  24. [24]

    Monthly Notices of the Royal Astronomical Society , archivePrefix = "arXiv", eprint =

    Scalable splitting algorithms for big-data interferometric imaging in the SKA era. Monthly Notices of the Royal Astronomical Society , archivePrefix = "arXiv", eprint =. doi:10.1093/mnras/stw1859 , adsurl =

    work page doi:10.1093/mnras/stw1859

  25. [25]

    Comparing Measures of Sparsity , year=

    Hurley, Niall and Rickard, Scott , journal=. Comparing Measures of Sparsity , year=. doi:10.1109/TIT.2009.2027527 , ISSN=

    work page doi:10.1109/tit.2009.2027527 2009

  26. [26]

    A Survey on GPU Techniques in Astronomical Data Processing , year=

    Meng Xiao and Hui Deng and Feng Wang and Kaifan Ji , booktitle=. A Survey on GPU Techniques in Astronomical Data Processing , year=

  27. [27]

    and Asahi, T

    Roman, P.E. and Asahi, T. and Casassus, S. , booktitle=. Hermite-Gaussian functions for image synthesis , year=

  28. [28]

    Mason and C

    B. Mason and C. Brogan. Relative Integration Times for the ALMA Cycle 1 12-m, 7-M, and Total Power Arrays. NAASC Memo Series/ALMA Memo. 2013

    2013

  29. [29]

    The Astrophysical Journal , abstract =

    Takuya Akahori and Dongsu Ryu , title =. The Astrophysical Journal , abstract =. 2011 , month =. doi:10.1088/0004-637X/738/2/134 , url =

    work page doi:10.1088/0004-637x/738/2/134 2011

  30. [30]

    Information Theory and an Extension of the Maximum Likelihood Principle

    Akaike, Hirotogu. Information Theory and an Extension of the Maximum Likelihood Principle. Selected Papers of Hirotugu Akaike. 1998. doi:10.1007/978-1-4612-1694-0_15

    work page doi:10.1007/978-1-4612-1694-0_15 1998

  31. [31]

    Fish and Fumie Tazaki and Kazuki Kuramochi and Avery E

    Kazunori Akiyama and Shiro Ikeda and Mollie Pleau and Vincent L. Fish and Fumie Tazaki and Kazuki Kuramochi and Avery E. Broderick and Jason Dexter and Monika Mo. Superresolution Full-polarimetric Imaging for Radio Interferometry with Sparse Modeling , journal =. doi:10.3847/1538-3881/aa6302 , url =

    work page doi:10.3847/1538-3881/aa6302

  32. [32]

    Fish and Fumie Tazaki and Mareki Honma and Sheperd S

    Kazunori Akiyama and Kazuki Kuramochi and Shiro Ikeda and Vincent L. Fish and Fumie Tazaki and Mareki Honma and Sheperd S. Doeleman and Avery E. Broderick and Jason Dexter and Monika Mościbrodzka and Katherine L. Bouman and Andrew A. Chael and Masamichi Zaizen , title =. The Astrophysical Journal , abstract =. 2017 , month =. doi:10.3847/1538-4357/aa6305 , url =

    work page doi:10.3847/1538-4357/aa6305 2017

  33. [33]

    Monthly Notices of the Royal Astronomical Society , volume =

    Anderson, Craig S and McClure-Griffiths, N M and Rudnick, L and Gaensler, B M and O'Sullivan, S P and Bradbury, S and Akahori, T and Baidoo, L and Bruggen, M and Carretti, E and Duchesne, S and Heald, G and Jung, S L and Kaczmarek, J and Leahy, D and Loi, F and Ma, Y K and Osinga, E and Seta, A and Stuardi, C and Thomson, A J M and Van Eck, C and Vernstro...

    work page doi:10.1093/mnras/stae1954 2024

  34. [34]

    Andrecut and J

    M. Andrecut and J. M. Stil and A. R. Taylor , title =. The Astronomical Journal , abstract =. doi:10.1088/0004-6256/143/2/33 , url =

    work page doi:10.1088/0004-6256/143/2/33

  35. [35]

    Monthly Notices of the Royal Astronomical Society , volume =

    Arámburo-García, Andrés and Bondarenko, Kyrylo and Boyarsky, Alexey and Nelson, Dylan and Pillepich, Annalisa and Sokolenko, Anastasia , title = ". Monthly Notices of the Royal Astronomical Society , volume =. 2021 , month =. doi:10.1093/mnras/stab1632 , url =

    work page doi:10.1093/mnras/stab1632 2021

  36. [36]

    Lukas , keywords =

    Frank Bauer and Mark A. Lukas , keywords =. Comparing parameter choice methods for regularization of ill-posed problems , journal =. 2011 , issn =. doi:https://doi.org/10.1016/j.matcom.2011.01.016 , url =

    work page doi:10.1016/j.matcom.2011.01.016 2011

  37. [37]

    Monthly Notices of the Royal Astronomical Society , archivePrefix = "arXiv", eprint =

    Bayesian inference for radio observations. Monthly Notices of the Royal Astronomical Society , archivePrefix = "arXiv", eprint =

  38. [38]

    Bajkova, A. T. Multi-frequency synthesis of VLBI images using a generalized maximum entropy method. Astronomy Reports. 2008. doi:10.1134/S1063772908120019

    work page doi:10.1134/s1063772908120019 2008

  39. [39]

    and Pushkarev, Alexander B

    Bajkova, Anisa T. and Pushkarev, Alexander B. , title =. Monthly Notices of the Royal Astronomical Society , volume =. 2011 , doi =

    2011

  40. [40]

    Inverse Problems , abstract =

    Murat Belge and Misha E Kilmer and Eric L Miller , title =. Inverse Problems , abstract =. doi:10.1088/0266-5611/18/4/314 , url =

    work page doi:10.1088/0266-5611/18/4/314

  41. [41]

    Parametric high resolution techniques for radio astronomical imaging

    Ben-David, Chen and Leshem, Amir. Parametric high resolution techniques for radio astronomical imaging. IEEE J.Sel.Top.Sig.Proc. 2008. arXiv:0807.4852

    Pith/arXiv arXiv 2008

  42. [42]

    10.1051/0004-6361/202040009

    Faint polarised sources in the Lockman Hole field at 1.4 GHz , DOI= "10.1051/0004-6361/202040009", url= "https://doi.org/10.1051/0004-6361/202040009", journal =

    work page doi:10.1051/0004-6361/202040009

  43. [43]

    and Tanner, Jared

    Blanchard, Jeffrey D. and Tanner, Jared. GPU accelerated greedy algorithms for compressed sensing. Mathematical Programming Computation. 2013. doi:10.1007/s12532-013-0056-5

    work page doi:10.1007/s12532-013-0056-5 2013

  44. [44]

    T. J. Cornwell , title =. 2009 , journal =

    2009

  45. [45]

    Monthly Notices of the Royal Astronomical Society , volume =

    Carretti, Ettore and Vacca, V and O'Sullivan, S P and Heald, G H and Horellou, C and Röttgering, H J A and Scaife, A M M and Shimwell, T W and Shulevski, A and Stuardi, C and Vernstrom, T , title = ". Monthly Notices of the Royal Astronomical Society , volume =. 2022 , month =

    2022

  46. [46]

    Rudnick, Lawrence and Cotton, W. D. , title =. Monthly Notices of the Royal Astronomical Society , volume =. 2023 , doi =

    2023

  47. [47]

    and Ostlie, Dale A

    Carroll, Bradley W. and Ostlie, Dale A. , biburl =

  48. [48]

    The Astrophysical Journal Letters , abstract =

    Simon Casassus and Miguel Cárcamo and Antonio Hales and Philipp Weber and Bill Dent , title =. The Astrophysical Journal Letters , abstract =. 2022 , month =. doi:10.3847/2041-8213/ac75e8 , url =

    work page doi:10.3847/2041-8213/ac75e8 2022

  49. [49]

    Chael and Michael D

    Andrew A. Chael and Michael D. Johnson and Katherine L. Bouman and Lindy L. Blackburn and Kazunori Akiyama and Ramesh Narayan , title =. The Astrophysical Journal , abstract =. doi:10.3847/1538-4357/aab6a8 , url =

    work page doi:10.3847/1538-4357/aab6a8

  50. [50]

    Cieza and Simon Casassus and Sebastian P\'erez and Antonio Hales and Miguel C\'arcamo and Megan Ansdell and Henning Avenhaus and Amelia Bayo and Gesa H.-M

    Lucas A. Cieza and Simon Casassus and Sebastian P\'erez and Antonio Hales and Miguel C\'arcamo and Megan Ansdell and Henning Avenhaus and Amelia Bayo and Gesa H.-M. Bertrang and Hector C\'anovas and Valentin Christiaens and William Dent and Gabriel Ferrero and Roberto Gamen and Johan Olofsson and Santiago Orcajo and Axel Osses and Karla Peña-Ramirez and D...

  51. [51]

    T. E. Clarke and P. P. Kronberg and Hans Böhringer , title =. The Astrophysical Journal , abstract =. doi:10.1086/318896 , url =

    work page doi:10.1086/318896

  52. [52]

    2004 , isbn =

    Yurii Nesterov , title =. 2004 , isbn =

    2004

  53. [53]

    An iterative reconstruction algorithm for Faraday tomography , volume=

    Cooray, Suchetha and Takeuchi, Tsutomu T and Akahori, Takuya and Miyashita, Yoshimitsu and Ideguchi, Shinsuke and Takahashi, Keitaro and Ichiki, Kiyotomo , year=. An iterative reconstruction algorithm for Faraday tomography , volume=. Monthly Notices of the Royal Astronomical Society , publisher=. doi:10.1093/mnras/staa3580 , number=

    work page doi:10.1093/mnras/staa3580

  54. [54]

    Donoho, D. L. , title =. IEEE Trans. Inf. Theor. , issue_date =. 2006 , issn =. doi:10.1109/TIT.2006.871582 , acmid =

    work page doi:10.1109/tit.2006.871582 2006

  55. [55]

    Roy Frieden , journal =

    B. Roy Frieden , journal =. Restoring with Maximum Likelihood and Maximum Entropy , volume =. 1972 , url =

    1972

  56. [56]

    The magnetic field in the Coma cluster

    The magnetic field in the. doi:10.48550/arXiv.astro-ph/9504058

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.48550/arxiv.astro-ph/9504058

  57. [57]

    A Mathematical Introduction to Compressive Sensing

    Foucart, Simon and Rauhut, Holger. A Mathematical Introduction to Compressive Sensing. 2013. doi:10.1007/978-0-8176-4948-7_1

    work page doi:10.1007/978-0-8176-4948-7_1 2013

  58. [58]

    Gaensler and R

    B.M. Gaensler and R. Beck and L. Feretti , abstract =. The origin and evolution of cosmic magnetism , journal =. 2004 , note =. doi:https://doi.org/10.1016/j.newar.2004.09.003 , url =

    work page doi:10.1016/j.newar.2004.09.003 2004

  59. [59]

    Evidence for Helical Magnetic Fields Associated with AGN Jets and the Action of a Cosmic Battery , volume=

    Gabuzda, Denise , year=. Evidence for Helical Magnetic Fields Associated with AGN Jets and the Action of a Cosmic Battery , volume=. Galaxies , publisher=. doi:10.3390/galaxies7010005 , number=

    work page doi:10.3390/galaxies7010005

  60. [60]

    Publications of the Astronomical Society of Australia , author=

    The Polarisation Sky Survey of the Universe's Magnetism (POSSUM): Science Goals and Survey Description , doi=. Publications of the Astronomical Society of Australia , author=. 2025 , pages=

    2025

  61. [61]

    Zur Theorie der orthogonalen Funktionensysteme

    Haar, Alfred. Zur Theorie der orthogonalen Funktionensysteme. Mathematische Annalen. 1910. doi:10.1007/BF01456326

    work page doi:10.1007/bf01456326 1910

  62. [62]

    in Computational Inverse Problems in Electrocardiology, ed

    Per Christian Hansen , title =. in Computational Inverse Problems in Electrocardiology, ed. P. Johnston, Advances in Computational Bioengineering , year =

  63. [63]

    and Lazarian, A

    Hu, Yue and Stuardi, C. and Lazarian, A. and Brunetti, G. and Bonafede, A. and Ho, Ka Wai , title=. Nature Communications , year=. doi:10.1038/s41467-024-45164-8 , url=

    work page doi:10.1038/s41467-024-45164-8

  64. [64]

    Thomas Blumensath and Mike E. Davies. Iterative hard thresholding for compressed sensing. Applied and Computational Harmonic Analysis. 2009. doi:https://doi.org/10.1016/j.acha.2009.04.002

    work page doi:10.1016/j.acha.2009.04.002 2009

  65. [65]

    The Astrophysical Journal , abstract =

    Shinsuke Ideguchi and Yuichi Tashiro and Takuya Akahori and Keitaro Takahashi and Dongsu Ryu , title =. The Astrophysical Journal , abstract =. doi:10.1088/0004-637x/792/1/51 , url =

    work page doi:10.1088/0004-637x/792/1/51

  66. [66]

    On the reliability of polarization estimation using Rotation Measure Synthesis

    On the Reliability of Polarization Estimation Using Rotation Measure Synthesis. , keywords =. doi:10.1088/0004-637X/750/2/139 , archivePrefix =. 1203.2706 , primaryClass =

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1088/0004-637x/750/2/139

  67. [67]

    Jarvis , Matt and Taylor et al. , Russ. The MeerKAT International GHz Tiered Extragalactic Exploration (MIGHTEE) Survey. Proceedings of Science. doi:10.22323/1.277.0006

    work page doi:10.22323/1.277.0006

  68. [68]

    Handbook of Image and Video Processing (Second Edition) , publisher =

    3.6 - Regularization in Image Restoration and Reconstruction , editor =. Handbook of Image and Video Processing (Second Edition) , publisher =. 2005 , series =. doi:https://doi.org/10.1016/B978-012119792-6/50075-9 , url =

    work page doi:10.1016/b978-012119792-6/50075-9 2005

  69. [69]

    P. P. Kronberg and M. L. Bernet and F. Miniati and S. J. Lilly and M. B. Short and D. M. Higdon , title =. The Astrophysical Journal , abstract =. 2008 , month =. doi:10.1086/527281 , url =

    work page doi:10.1086/527281 2008

  70. [70]

    Fish and Hung-Yi Pu and Keiichi Asada and Mareki Honma , title =

    Kazuki Kuramochi and Kazunori Akiyama and Shiro Ikeda and Fumie Tazaki and Vincent L. Fish and Hung-Yi Pu and Keiichi Asada and Mareki Honma , title =. The Astrophysical Journal , abstract =. 2018 , month =. doi:10.3847/1538-4357/aab6b5 , url =

    work page doi:10.3847/1538-4357/aab6b5 2018

  71. [71]

    Lee and Ralf Gommers and Filip Waselewski and Kai Wohlfahrt and Aaron O’Leary , title =

    Gregory R. Lee and Ralf Gommers and Filip Waselewski and Kai Wohlfahrt and Aaron O’Leary , title =. 2019 , publisher =. doi:10.21105/joss.01237 , url =

    work page doi:10.21105/joss.01237 2019

  72. [72]

    IEEE Trans

    Amir Leshem and Alle-jan Van Der Veen , title =. IEEE Trans. on Information Theory , year =

  73. [73]

    10.1051/0004-6361/201015045

    The application of compressive sampling to radio astronomy - I. Deconvolution , DOI= "10.1051/0004-6361/201015045", url= "https://doi.org/10.1051/0004-6361/201015045", journal =

    work page doi:10.1051/0004-6361/201015045

  74. [74]

    10.1051/0004-6361/201015890

    The application of compressive sampling to radio astronomy - II. Faraday rotation measure synthesis , DOI= "10.1051/0004-6361/201015890", url= "https://doi.org/10.1051/0004-6361/201015890", journal =

    work page doi:10.1051/0004-6361/201015890

  75. [75]

    and De hoog, Frank

    Li, Feng and Cornwell, Tim J. and De hoog, Frank. The Applications of Compressive Sensing to Radio Astronomy. Wireless Algorithms, Systems, and Applications: 5th International Conference, WASA 2010, Beijing, China, August 15-17, 2010. Proceedings. 2010. doi:10.1007/978-3-642-14654-1_46

    work page doi:10.1007/978-3-642-14654-1_46 2010

  76. [76]

    Annual Review of Astronomy and Astrophysics , keywords =

    Maximum entropy image restoration in astronomy. Annual Review of Astronomy and Astrophysics , keywords =

  77. [77]

    , journal =

    Multi-frequency synthesis techniques in radio interferometric imaging. , journal =

  78. [78]

    Smith and John C

    David S. Smith and John C. Gore and Thomas E. Yankeelov and E. Brian Welch , title =. International Journal of Biomedical Imaging , year =. doi:10.1155/2012/864827 , url =

    work page doi:10.1155/2012/864827 2012

  79. [79]

    T. J. IEEE Journal of Selected Topics in Signal Processing , title=. 2008 , volume=. doi:10.1109/JSTSP.2008.2006388 , ISSN=

    work page doi:10.1109/jstsp.2008.2006388 2008

  80. [80]

    Astronomy and Astrophysics , archivePrefix = "arXiv", eprint =

    A multi-scale multi-frequency deconvolution algorithm for synthesis imaging in radio interferometry. Astronomy and Astrophysics , archivePrefix = "arXiv", eprint =. doi:10.1051/0004-6361/201117104 , adsurl =

    work page doi:10.1051/0004-6361/201117104

Showing first 80 references.