Abstract.
I explore the possibility of resurrecting an old, non-Bayesian computational approach for inferring the source direction of a gravitational wave from the output of a two-detector network. The method gives the beam pattern response functions and time delay, and performs well even in the presence of noise and unexpected signal forms. I further suggest an improvement to this method in the form of a weighting algorithm that usefully improves its accuracy beyond what can be achieved with simple best-fit methods, validating the new procedure with several small-scale simulations. The approach is identified as complementary to --rather than in competition with-- the now-standard Bayesian approach typically used by the LIGO network in parameter determination. Finally, I briefly discuss the possible applications of this method in the world of three-or-more-detector networks and some directions for future work.
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References
Yekta Gürsel, Massimo Tinto, Phys. Rev. D 40, 3884 (1989)
Malik Rakhmanov, Class. Quantum Grav. 23, S673 (2006)
J. Aasi, J. Abadie, B.P. Abbott, R. Abbott, T.D. Abbott, M. Abernathy, T. Accadia, F. Acernese, C. Adams, T. Adams et al., Living Rev. Relativ. 19, 1 (2016)
John Veitch, Vivien Raymond, Benjamin Farr, W. Farr, Philip Graff, Salvatore Vitale, Ben Aylott, Kent Blackburn, Nelson Christensen, Michael Coughlin et al., Phys. Rev. D 91, 042003 (2015)
Leo P. Singer, Larry R. Price, Phys. Rev. D 93, 024013 (2016)
Ryan Lynch, Salvatore Vitale, Reed Essick, Erik Katsavounidis, Florent Robinet, Phys. Rev. D 95, 104046 (2017)
S. Klimenko, G. Vedovato, M. Drago, F. Salemi, V. Tiwari, G.A. Prodi, C. Lazzaro, K. Ackley, S. Tiwari, C.F. Da Silva et al., Phys. Rev. D 93, 042004 (2016)
B.P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, R.S. Amin, S.B. Anderson, W.G. Anderson, M.A. Arain et al., Phys. Rev. D 80, 102001 (2009)
Bernard F. Schutz, Class. Quantum Grav. 28, 125023 (2011)
Benjamin P. Abbott, R. Abbott, T.D. Abbott, M.R. Abernathy, F. Acernese, K. Ackley, M. Adamo, C. Adams, T. Adams, P. Addesso et al., Class. Quantum Grav. 33, 134001 (2016)
Warren G. Anderson, John T. Whelan, Patrick R. Brady, Jolien D.E. Creighton, David Chin, Keith Riles, Beam pattern response functions and times of arrival for earthbound interferometers, LIGO Internal Document, 10110 (2001)
Bangalore Suryanarayana Sathyaprakash, Bernard F. Schutz, Living Rev. Relativ. 12, 2 (2009)
Junaid Aasi, B.P. Abbott, Richard Abbott, Thomas Abbott, M.R. Abernathy, Kendall Ackley, Carl Adams, Thomas Adams, Paolo Addesso, R.X. Adhikari et al., Class. Quantum Grav. 32, 074001 (2015)
Benjamin P. Abbott, R. Abbott, T.D. Abbott, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R.X. Adhikari, V.B. Adya et al., Phys. Rev. Lett. 119, 141101 (2017)
Sergey Klimenko, I. Yakushin, A. Mercer, Guenakh Mitselmakher, Class. Quantum Grav. 25, 114029 (2008)
S. Klimenko, I. Yakushin, M. Rakhmanov, G. Mitselmakher, Class. Quantum Grav. 21, S1685 (2004)
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McClain, T. Using weighting algorithms to refine source direction determinations in all-sky gravitational wave burst searches with two-detector networks. Eur. Phys. J. Plus 133, 210 (2018). https://doi.org/10.1140/epjp/i2018-12048-4
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DOI: https://doi.org/10.1140/epjp/i2018-12048-4