Correlation method estimation of the modulation signal in the weak equivalence principle test

doi:10.1088/1674-1056/27/8/080402

Abstract

In a test of the weak equivalence principle (WEP) with a rotating torsion pendulum, it is important to estimate the amplitude of the modulation signal with high precision. We use a torsional filter to remove the free oscillation signal and employ the correlation method to estimate the amplitude of the modulation signal. The data analysis of an experiment shows that the uncertainties of amplitude components of the modulation signal obtained by the correlation method are in agreement with those due to white noise. The power spectral density of the modulation signal obtained by the correlation method is about one order higher than the thermal noise limit. It indicates that the correlation method is an effective way to estimate the amplitude of the modulation signal and it is instructive to conduct a high-accuracy WEP test.

Keywords: weak equivalence principle test correlation method amplitude estimation thermal noise limit

Received: 04 April 2018
Revised: 18 May 2018
Accepted manuscript online:

PACS:

04.80.Cc

(Experimental tests of gravitational theories)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11575160, 91636221, and 11605065).

Corresponding Authors: Cheng-Gang Shao, Qi Liu
E-mail: cgshao@hust.edu.cn;louis_liuqi@hust.edu.cn

Cite this article:

Jie Luo(罗杰), Liang-Cheng Shen(沈良程), Cheng-Gang Shao(邵成刚), Qi Liu(刘祺), Hui-Jie Zhang(张惠捷) Correlation method estimation of the modulation signal in the weak equivalence principle test 2018 Chin. Phys. B 27 080402

[1]	Choi K Y 2006 “A new equivalence principle test using a rotating torsion balance”, Ph. D. Dissertation (Washington: University of Washington)
[2]	Su Y 1992 “A new test of the weak equivalence principle”, Ph. D. Dissertation (Washington: University of Washington)
[3]	Zhou Z B, Luo J, Dan Q, Wu Z G, Zhang Y Z and Nie Y X 2002 Phys. Rev. D 66 022002
[4]	Damour T 1996 Class. & Quantum Gravity 13 A33
[5]	Zhu L, Liu Q, Zhao H H, Feng W F, Yang S Q, Shao C G, Tu L C and Luo J 1999 Phys. Rev. Lett. 83 3585
[6]	Baeßler S, Heckel B R, Adelberger E G, Gundlach J H, Schmidt U and Swanson H E 1999 Phys. Rev. Lett. 83 3585
[7]	Scherk J and Schwarz J H 1974 Phys. Lett. B 52 347
[8]	Damour T and Polyakov A M 1994 Nucl. Phys. B 423 532
[9]	Damour T and Vokrouhlický D 1996 Phys. Rev. D 53 4177
[10]	Fayet P 2003 Ada. Space. Res. 13 1289
[11]	Fayet P 1986 Phys. Lett. B 172 363
[12]	Newton I 1687 Philosophiae Naturalis Principia Mathematica (London: Joseph Streater)
[13]	Eötvös R V, Pekar D and Fekete E 1922 Ann. Phys. 68 11
[14]	Roll P G, Krotkov R and Dicke R H 1964 Ann. Phys. 26 442
[15]	Braginsky V B and Panov V I 1972 Gen. Relativ. & Gravit. 3 403
[16]	Koester L 1976 Phys. Rev. D. Part. & Fields 14 907
[17]	Schlamminger S, Choi K Y, Wagner T A, Gundlach J H and Adelberger E G 2008 Phys. Rev. Lett. 100 041101
[18]	Gundlach J H, Schlamminger S and Wagner T 2009 Space Sci. Rev. 148 201
[19]	Duan X C, Deng X B, Zhou M K, Zhang K, Xu W J and Xiong F 2016 Phys. Rev. Lett. 117 023001
[20]	Zhou L, Long S, Tang B, Chen X, Gao F and Peng W 2015 Phys. Rev. Lett. 115 013004
[21]	Tian Y L, Tu Y and Shao C G 2004 Rev. Sci. Instrum. 75 1971
[22]	Wang D H, Luo J and Luo K 2006 Rev. Sci. Instrum. 77 104501
[23]	Xu J H, Shao C G, Luo J, Liu Q, Zhu L and Zhao H H 2017 Chin. Phys. B 26 080401
[24]	Shao C G, Luan E J and Luo J 2003 Rev. Sci. Instrum. 74 2849
[25]	Luo J, Tian Y, Shao C G and Wang D H 2015 Chin. Phys. B 24 030401
[26]	Wu W H, Tian Y, Luo J, Shao C G, Xu J H and Wang D H 2016 Rev. Sci. Instrum. 87 094501
[27]	Lamoreaux S K and Buttler W T 2005 Phys. Rev. E 71 036109
[28]	Luo J, Shao C G and Wang D H 2009 Class. Quantum. Grav. 26 195005
[29]	Zhan W Z, Luo J, Shao C G, Zheng D, Yin W M and Wang D H 2017 Chin. Phys. B 26 090401

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