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Systematic calibration error requirements for gravitational-wave detectors via the Cramér-Rao bound

Hall, Evan D. and Cahillane, Craig and Izumi, Kiwamu and Smith, Rory J. E. and Adhikari, Rana X. (2019) Systematic calibration error requirements for gravitational-wave detectors via the Cramér-Rao bound. Classical and Quantum Gravity, 36 (20). Art. No. 205006. ISSN 0264-9381. https://resolver.caltech.edu/CaltechAUTHORS:20180109-171940435

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Abstract

Gravitational-wave (GW) laser interferometers such as Advanced LIGO (The LIGO Scientific Collaboration 2015 Class. Quantum Grav. 32 074001) transduce spacetime strain into optical power fluctuation. Converting this optical power fluctuation back into an estimated spacetime strain requires a calibration process that accounts for both the interferometer's optomechanical response and the feedback control loop used to control the interferometer test masses. Systematic errors in the calibration parameters lead to systematic errors in the GW strain estimate, and hence to systematic errors in the astrophysical parameter estimates in a particular GW signal. In this work we examine this effect for a GW signal similar to GW150914, both for a low-power detector operation similar to the first and second Advanced LIGO observing runs and for a higher-power operation with detuned signal extraction. We set requirements on the accuracy of the calibration such that the astrophysical parameter estimation is limited by errors introduced by random detector noise, rather than calibration systematics. We also examine the impact of systematic calibration errors on the possible detection of a massive graviton.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/1361-6382/ab368cDOIArticle
https://arxiv.org/abs/1712.09719arXivDiscussion Paper
ORCID:
AuthorORCID
Hall, Evan D.0000-0001-9018-666X
Izumi, Kiwamu0000-0003-3405-8334
Adhikari, Rana X.0000-0002-5731-5076
Additional Information:© 2019 IOP Publishing Ltd. Received 24 May 2019, revised 11 July 2019; Accepted for publication 29 July 2019; Published 18 September 2019. LIGO was constructed by the California Institute of Technology and Massachusetts Institute of Technology with funding from the National Science Foundation and operates under cooperative agreement PHY-0757058. This work has internal LIGO document number P1700033.
Group:LIGO
Funders:
Funding AgencyGrant Number
NSFPHY-0757058
Subject Keywords:calibration, gravitational wave detectors, Cramér–Rao bound, tests of general relativity
Other Numbering System:
Other Numbering System NameOther Numbering System ID
LIGO DocumentP1700033
Issue or Number:20
Record Number:CaltechAUTHORS:20180109-171940435
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180109-171940435
Official Citation:Evan D Hall et al 2019 Class. Quantum Grav. 36 205006
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84219
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:10 Jan 2018 17:58
Last Modified:03 Oct 2019 19:16

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