Impact of instrument and data characteristics in the interferometric reconstruction of the 21 cm power spectrum

Author:

Gorce Adélie1ORCID,Ganjam Samskruthi1,Liu Adrian1ORCID,Murray Steven G2ORCID,Abdurashidova Zara3,Adams Tyrone4,Aguirre James E5ORCID,Alexander Paul6,Ali Zaki S3,Baartman Rushelle4,Balfour Yanga4,Beardsley Adam P27,Bernardi Gianni489,Billings Tashalee S5,Bowman Judd D2,Bradley Richard F10,Bull Philip1112ORCID,Burba Jacob13ORCID,Carey Steven6,Carilli Chris L14,Cheng Carina3,DeBoer David R15,Acedo Eloy de Lera6ORCID,Dexter Matt15,Dillon Joshua S3ORCID,Eksteen Nico4,Ely John6,Ewall-Wice Aaron316ORCID,Fagnoni Nicolas6ORCID,Fritz Randall4,Furlanetto Steven R17ORCID,Gale-Sides Kingsley6,Glendenning Brian18,Gorthi Deepthi3,Greig Bradley19ORCID,Grobbelaar Jasper4,Halday Ziyaad4,Hazelton Bryna J2021,Hewitt Jacqueline N2223,Hickish Jack15,Jacobs Daniel C2,Julius Austin4,Kariseb MacCalvin4,Kern Nicholas S323,Kerrigan Joshua13ORCID,Kittiwisit Piyanat12ORCID,Kohn Saul A5ORCID,Kolopanis Matthew2ORCID,Lanman Adam1ORCID,Plante Paul La32425,Loots Anita4,MacMahon David Harold Edward15,Malan Lourence4,Malgas Cresshim4,Malgas Keith4,Marero Bradley4,Martinot Zachary E5,Mesinger Andrei26ORCID,Molewa Mathakane4,Morales Miguel F20,Mosiane Tshegofalang4,Neben Abraham R23,Nikolic Bojan6,Nuwegeld Hans4,Parsons Aaron R3,Patra Nipanjana3,Pieterse Samantha4,Pober Jonathan C13,Razavi-Ghods Nima6,Robnett James14,Rosie Kathryn4,Sims Peter1ORCID,Swarts Hilton4,Thyagarajan Nithyanandan1427,van Wyngaarden Pieter4,Williams Peter K G2829ORCID,Zheng Haoxuan23

Affiliation:

1. Department of Physics and McGill Space Institute, McGill University , 3600 University Street, Montreal, QC H3A 2T8, Canada

2. School of Earth and Space Exploration, Arizona State University , Tempe, AZ 85287-1404, USA

3. Department of Astronomy, University of California , Berkeley, CA 94720-3411, USA

4. South African Radio Astronomy Observatory , Black River Park, 2 Fir Street, Observatory, Cape Town, 7925, South Africa

5. Department of Physics and Astronomy, University of Pennsylvania , Philadelphia, PA 19104-6396, USA

6. Cavendish Astrophysics, University of Cambridge , Cambridge CB3 0HE, UK

7. Department of Physics, Winona State University , Winona, MN 55987, USA

8. INAF-Istituto di Radioastronomia , via Gobetti 101, I-40129 Bologna, Italy

9. Department of Physics and Electronics, Rhodes University , PO Box 94, Grahamstown, 6140, South Africa

10. National Radio Astronomy Observatory , Charlottesville, VA 22903, USA

11. Jodrell Bank Centre for Astrophysics, University of Manchester , Manchester, M13 9PL, UK

12. Department of Physics and Astronomy, University of Western Cape , Cape Town, 7535, South Africa

13. Department of Physics, Brown University , Providence, RI 02906, USA

14. National Radio Astronomy Observatory , Socorro, NM 87801, USA

15. Radio Astronomy Lab, University of California , Berkeley, CA 94720-3411, USA

16. Department of Physics, University of California , Berkeley, CA 94720-3411, USA

17. Department of Physics and Astronomy, University of California , Los Angeles, CA 90095-1547, USA

18. National Radio Astronomy Observatory , Socorro, NM 87801-0387, USA

19. School of Physics, University of Melbourne , Parkville, VIC 3010, Australia

20. Department of Physics, University of Washington , Seattle, WA 98195-1560, USA

21. eScience Institute, University of Washington , Seattle, WA 98195-1560, USA

22. MIT Kavli Institute, Massachusetts Institute of Technology , Cambridge, MA 02139, USA

23. Department of Physics, Massachusetts Institute of Technology , Cambridge, MA 02142, USA

24. Department of Computer Science, University of Nevada , Las Vegas, NV 89154, USA

25. Nevada Center for Astrophysics, University of Nevada , Las Vegas, NV 89154, USA

26. Scuola Normale Superiore , I-56126 Pisa, Italy

27. Commonwealth Scientific and Industrial Research Organisation (CSIRO), Space & Astronomy , P. O. Box 1130, Bentley, WA 6102, Australia

28. Center for Astrophysics, Harvard & Smithsonian , Cambridge, MA 02138, USA

29. American Astronomical Society , Washington, DC 20006, USA

Abstract

ABSTRACT Combining the visibilities measured by an interferometer to form a cosmological power spectrum is a complicated process. In a delay-based analysis, the mapping between instrumental and cosmological space is not a one-to-one relation. Instead, neighbouring modes contribute to the power measured at one point, with their respective contributions encoded in the window functions. To better understand the power measured by an interferometer, we assess the impact of instrument characteristics and analysis choices on these window functions. Focusing on the Hydrogen Epoch of Reionization Array (HERA) as a case study, we find that long-baseline observations correspond to enhanced low-k tails of the window functions, which facilitate foreground leakage, whilst an informed choice of bandwidth and frequency taper can reduce said tails. With simple test cases and realistic simulations, we show that, apart from tracing mode mixing, the window functions help accurately reconstruct the power spectrum estimator of simulated visibilities. The window functions depend strongly on the beam chromaticity and less on its spatial structure – a Gaussian approximation, ignoring side lobes, is sufficient. Finally, we investigate the potential of asymmetric window functions, down-weighting the contribution of low-k power to avoid foreground leakage. The window functions presented here correspond to the latest HERA upper limits for the full Phase I data. They allow an accurate reconstruction of the power spectrum measured by the instrument and will be used in future analyses to confront theoretical models and data directly in cylindrical space.

Funder

National Science Foundation

Gordon and Betty Moore Foundation

Publisher

Oxford University Press (OUP)

Subject

Space and Planetary Science,Astronomy and Astrophysics

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