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Frequency response of time-delay interferometry for space-based gravitational wave antenna

Zhang, Chunyu and Gao, Qing and Gong, Yungui and Liang, Dicong and Weinstein, Alan J. and Zhang, Chao (2019) Frequency response of time-delay interferometry for space-based gravitational wave antenna. Physical Review D, 100 (6). Art. no. 064033. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20190919-113942231

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Abstract

Space-based gravitational wave detectors cannot keep rigid structures and precise arm length equality, so the precise equality of detector arms which is required in a ground-based interferometer to cancel the overwhelming laser noise is impossible. The time-delay interferometry method is applied to unequal arm lengths to cancel the laser frequency noise. We give analytical formulas of the averaged response functions for tensor, vector, breathing, and longitudinal polarizations in different TDI combinations, and obtain their asymptotic behaviors. At low frequencies, f≪f_∗, the averaged response functions of all TDI combinations increase as f^2 for all six polarizations. The one exception is that the averaged response functions of ζ for all six polarizations increase as f^4 in the equilateral-triangle case. At high frequencies, f≫f_∗, the averaged response functions of all TDI combinations for the tensor and breathing modes fall off as 1/f^2, the averaged response functions of all TDI combinations for the vector mode fall off as ln(f)/f^2, and the averaged response functions of all TDI combinations for the longitudinal mode fall as 1/f. We also give LISA and TianQin sensitivity curves in different TDI combinations for tensor, vector, breathing, and longitudinal polarizations.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevd.100.064033DOIArticle
https://arxiv.org/abs/1906.10901arXivDiscussion Paper
ORCID:
AuthorORCID
Zhang, Chunyu0000-0002-4332-3729
Liang, Dicong0000-0001-5021-235X
Weinstein, Alan J.0000-0002-0928-6784
Zhang, Chao0000-0001-8829-1591
Alternate Title:Frequency response of time-delay interferometry for space-based gravitational wave antennas
Additional Information:© 2019 American Physical Society. (Received 30 June 2019; published 19 September 2019) This research was supported in part by the National Natural Science Foundation of China under Grants No. 11875136 and No. 11605061, the Major Program of the National Natural Science Foundation of China under Grant No. 11690021. A. J. W. acknowledges funding from the U.S. National Science Foundation, under Cooperative Agreement No. PHY-1764464. Q. G. acknowledges the Fundamental Research Funds for the Central Universities under Grants No. XDJK2017C059 and No. SWU116053, the financial support from China Scholarship Council for sponsoring her visit to California Institute of Technology, and the hospitality of California Institute of Technology.
Group:LIGO
Funders:
Funding AgencyGrant Number
National Natural Science Foundation of China11875136
National Natural Science Foundation of China11605061
National Natural Science Foundation of China11690021
NSFPHY-1764464
Fundamental Research Funds for the Central UniversitiesXDJK2017C059
Fundamental Research Funds for the Central UniversitiesSWU116053
China Scholarship CouncilUNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20190919-113942231
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190919-113942231
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98752
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:20 Sep 2019 14:27
Last Modified:03 Oct 2019 21:44

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