Abstract
In the centenary year of Einstein’s General Theory of Relativity, this paper reviews the current status of gravitational wave astronomy across a spectrum which stretches from attohertz to kilohertz frequencies. Sect. 1 of this paper reviews the historical development of gravitational wave astronomy from Einstein’s first prediction to our current understanding the spectrum. It is shown that detection of signals in the audio frequency spectrum can be expected very soon, and that a north-south pair of next generation detectors would provide large scientific benefits. Sect. 2 reviews the theory of gravitational waves and the principles of detection using laser interferometry. The state of the art Advanced LIGO detectors are then described. These detectors have a high chance of detecting the first events in the near future. Sect. 3 reviews the KAGRA detector currently under development in Japan, which will be the first laser interferometer detector to use cryogenic test masses. Sect. 4 of this paper reviews gravitational wave detection in the nanohertz frequency band using the technique of pulsar timing. Sect. 5 reviews the status of gravitational wave detection in the attohertz frequency band, detectable in the polarisation of the cosmic microwave background, and discusses the prospects for detection of primordial waves from the big bang. The techniques described in sects. 1–5 have already placed significant limits on the strength of gravitational wave sources. Sects. 6 and 7 review ambitious plans for future space based gravitational wave detectors in the millihertz frequency band. Sect. 6 presents a roadmap for development of space based gravitational wave detectors by China while sect. 7 discusses a key enabling technology for space interferometry known as time delay interferometry.
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References
Maxwell J C. A dynamical theory of the electromagnetic field. Philos Trans R Soc, 1865
Hertz H R. Ueber sehr schnelle electrische Schwingungen. Ann der Phys, 1887, 267(7): 421–448
Einstein A. Die Feldgleichungen der Gravitation. Berlin: Sitzungsberichte der Preussischen Akademie der Wissenschaften, 1915. 844–847
Einstein A. Näherungsweise Integration der Feldgleichungen der Gravitation. Berlin: Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften, 1916. part 1: 688–696
Einstein A. Über Gravitationswellen. Berlin: Sitzungsberichte der Koniglich Preussischen Akademie der Wissenschaften, 1918. part 1: 154–167
Rickles D, DeWitt C M. The role of gravitation in physics. Report from the 1957 Chapel Hill Conference, 1957
Hulse R A, Taylor J H. Discovery of a pulsar in a binary system. Astrophys J, 1975, 195: L51–L53
Zhu X, Howell E, Blair D, et al. On the gravitational wave background from compact binary coalescences in the band of groundbased interferometers. Mon Not R Astron Soc, 2013, 431(1): 882–899
Weber J. Detection and generation of gravitational waves. Phys Rev, 1960, 117: 306
Weber J. General Relativity and Gravitational Waves. New York: Wiley-Interscience, 1961
Ju L, Blair D G, Zhao C. Detection of gravitational waves. Rep Prog Phys, 2000, 63(9): 1317
Blair D. The Detection of Gravitational Waves. Cambridge: Cambridge University Press, 2005
Boughn S, Fairbank W M, McAshan M, et al. The use of cryogenic techniques to achieve high sensitivity in gravitational wave detectors. In: Proceedings of the I.A.U. Conference on Gravitational Radiation and Gravitational Collapse, Warsaw, Poland, 1973
Astone P, Babusci D, Baggio L, et al. Methods and results of the IGEC search for burst gravitational waves in the years 1997–2000. Phys Rev D, 2003, 68(2): 022001
Abadie J, Abbott B P, Abbott R, et al. (The LIGO Scientific Collaboration and the Virgo Collaboration). Predictions for the rates of compact binary coalescences observable by ground-based gravitationalwave detectors. Class Quantum Grav, 2010, 27(17): 173001
Kochanek C S, Piran T. Gravitational-waves and gamma-ray bursts. Astrophy J Lett, 1993, 417: L17–L20
Matteucci F, Romano D, Arcones A, et al. Europium production: Neutron star mergers versus core-collapse supernovae. Mon Not R Astron Soc, 2014, 438(3): 2177–2185
Takami K, Rezzolla L, Baiotti L. Constraining the equation of state of neutron stars from binary mergers. Phys Rev Lett, 2014, 113: 091104
Lee H M, Le Bigot E-O, Du Z H, et al. Gravitational wave astrophysics, data analysis and multimessenger astronomy. Sci China- Phys Mech Astron, 2015, 58(12): 120403. See section 1
Ma Y Q, Blair D G, Zhao C N, et al. Extraction of energy from gravitational waves by laser interferometer detectors. Class Quantum Grav, 2015, 32(1): 015003
Blair D, Ju L, Zhao C N, et al. The next detectors for gravitational wave astronomy. Sci China-Phys Mech Astron, 2015, 58(12): 120405
Chu Q, Wen L Q, Blair D. Scientific benefit of enlarging gravitational wave detector networks. J Phys-Conf Ser, 2012, 363(1): 012023
Wen L Q, Chen Y B. Geometrical expression for the angular resolution of a network of gravitational-wave detectors. Phys Rev D, 2010, 81: 082001
Shoemaker D. Advanced LIGO Anticipated Sensitivity Curves. Technical Report, LIGO-T0900288-v3
The Virgo Collaboration. Advanced Virgo Baseline Design, 2009, note VIR–027A–09, May 16
Ju L, Blair D G, Davidson J, et al. The AIGO project. I J Mod Phys D, 2011, 20(10): 2087–2092
Ju L, Aoun M, Barriga P, et al. ACIGA’s high optical power test facility. Class Quantum Grav, 2004, 21(5): S887–S893
Dumas J, Barriga P, Zhao C N, et al. Compact vibration isolation and suspension for Australian International Gravitational Observatory: Local control system. Rev Sci Instrum, 2009, 80(11): 114502
Barriga P, Dumas J C, Woolley A A, et al. Compact vibration isolation and suspension for Australian International Gravitational Observatory: Performance in a 72 m Fabry Perot cavity. Rev Sci Instrum, 2009, 80(11): 114501
Blair D, De Laeter J, Deshon F, et al. The gravity discovery centre: A new science education centre linked to research at the frontier of physics. Teach Sci, 2006, 52(20): 30–35
Einstein A. Sitzungsberichte der Königlich. Berlin: Preußischen Akademie der Wissenschaften, 1916
Einstein A, Engel A. The Collected Papers of Albert Einstein. Princeton: Princeton University Press, 1997
Einstein A. Über Gravitationswellen. Sitzber: Preuss. Akad. Wiss, 1918
Misner CW, Thorne K S, Wheeler J A. Gravitation. New York: Freeman, 1973
Adhikari R X. Gravitational radiation detection with laser interferometry. Rev Mod Phys, 2014, 86: 1265–1291
Nichols D A, Owen R, Zhang F, et al. Visualizing spacetime curvature via frame-drag vortexesand tidal tendexes I. General theory and weak-gravity applications. Phys Rev D, 2011, D84: 124014
Abramovici A, Althouse W E, Drever R W, et al. LIGO: The laser interferometer gravitational-wave observatory. Science, 1992, 256: 325–333
Abbott B P, Abbott R, Adhikari R, et al. LIGO: The laser interferometer gravitational-wave observatory. Rep Prog Phys, 2009, 72: 076901
Acernese F, Alshourbagy M, Amico P, et al. Virgo status. Class Quant Grav, 2008, 25: 184001
Lück H, Hewitson M, Ajith P, et al. Status of the GEO600 detector. Class Quantum Grav, 2006, 23: S71–S78
Arai K, Takahashi R, Tatsumi D, et al. Status of Japanese gravitational wave detectors. Class Quantum Grav, 2009, 26: 204020
Quinlan F, Fortier T M, Jiang H, et al. Exploiting shot noise correlations in the photodetection of ultrashort optical pulse trains. Nature, 2013, 7: 290–293
Weiss R. Electromagnetically Coupled Broadband Gravitational Antenna. Technical Report, Massachusetts Institute of Technology. 1972
Dooley K L, Akutsu T, Dwyer S, et al. Status of advanced groundbased laser interferometersfor gravitational-wave detection. J Phys- Conf Ser, 2015, 610: 012012
Harry G M. Advanced LIGO: The next generation of gravitational wavedetectors. Class Quantum Grav, 2010, 27: 084006
The Virgo Collaboration. Advanced virgo technical design report. 2012, VIR-0128A-12
Dooley K L. Status of GEO 600. J Phys-Conf Ser, 2015, 610: 012015
Lück H, Affeldt C, Degallaix J, et al. The upgrade of GEO600. J Phys-Conf Ser, 2010, 228: 012012
Grote H. the GEO 600 status. Class Quantum Grav, 2010, 27: 084003
Affeldt C, Danzmann K, Dooley K L, et al. Advanced techniques in GEO 600. Class Quantum Grav, 2014, 31: 224002
Somiya K. Detector configuration of KAGRA: The Japanese cryogenicgravitational-wave detector. Class Quantum Grav, 2012, 29: 124007
Pitkin M, Reid S, Rowan S, et al. Gravitational wave detection by interferometry (Ground and Space). Liv Rev Rel, 2011, 14: 5
Cella G, Giazotto A. Invited review article: Interferometric gravity wavedetectors. Rev Sci Instrum, 2011, 82: 101101
Freise A, Strain K. Interferometer techniques for gravitational-wave detection. Liv Rev Rel, 2010, 13: 1
Braginsky V B. Detection of gravitational waves from astrophysical sources. Astron Lett, 2008, 34(8): 558–562
Aufmuth P, Danzmann K. Gravitational wave detectors. New J Phys, 2005, 7: 202
Barish B C, Weiss R. LIGO and the detection of gravitational waves. Phys Tod, 1999, 52(10): 44–50
Saulson P. Fundamentals of Interferometric Gravitational Wave Detectors. Singapore: World Scientific Publishing Company, 1994
Weiss R. Gravitational radiation. Rev Mod Phys, 1999, 71: S187–S196
Giazotto A. Interferometric detection of gravitational waves. Phys Rep, 1989, 182: 365–424
Vinet J Y, Man C N, Brillet A, et al. Optimization of long baseline optical interferometers. Phys Rev D, 1988, 38: 433–447
Christensen N. Measuring the stochastic gravitational radiation background with laser interferometric antennas. Phys Rev D, 1992, 46: 5250–5266
Belczynski K, Kalogera V, Bulik T. A comprehensive study of binary compact objects asgravitational wave sources: Evolutionary channels, rates, and physical properties. Astrophys J, 2001, 572: 407–431
Belczynski K, Kalogera V, Rasio F A, et al. On the rarity of double black hole binaries: Consequences for gravitational-wave detection. Astrophys J, 2007, 662: 504–512
Phinney E S. The rate of neutron star binary mergers in the universe: Minimal predictions for gravity wave detector. Astrophys J, 1991, 380: L17–L21
Hawking S, Israel W. Three Hundred Years of Gravitation, Philosophiae Naturalis, Principia Mathematica. Cambridge: Cambridge University Press, 1989
Cutler C, Thorne K S. Proceedings of the GR16 Conference on General Relativity and Gravitation. Singapore: World Scientific, 2002
Sathyaprakash B S, Schutz B F. Physics, astrophysics and cosmology with gravitational waves. Liv Rev Rel, 2009, 12: 2
Hensley J M, Peters A, Chu S. Active low frequency vertical vibration isolation. Rev Sci Instrum, 1999, 70(6): 2735
Newell D B, Richman S J, Nelson P G, et al. An ultra-low-noise, low-frequency, six degrees of freedom active vibration isolator. Rev Sci Instrum, 1997, 68(8): 3211
Matichard F, Lantz B, Mason K, et al. Advanced LIGO two-stage twelve-axis vibration isolationand positioning platform. Part 1: Design and production overview. Prec Eng, 2015, 40: 273–286
Matichard F, Lantz B, Mason K, et al. Advanced LIGO two-stage twelve-axis vibration isolationand positioning platform. Part 2: Experimental investigation and tests results. Prec Eng, 2015, 40: 287–297
Aston S M. Update on quadruple suspension design for Advanced LIGO. Class Quantum Grav, 2012, 29: 235004
Giaime J, Saha P, Shoemaker D, et al. A passive vibration isolation stack for LIGO: design, modeling, and testing. Rev Sci Instrum, 1996, 67(1): 208
Ponslet E R, Miller W O. Coil springs with constrained layer viscoelastic damping for passive isolation. Soc Photo-Opt Instrum Eng (SPIE) Confer Ser, 1998, 3327: 432–443
Accadia T. The seismic Superattenuators of the Virgo gravitational waves interferometer. J Low Freq Noise Vib Act Control, 2011, 30(1): 63
Acernese F. Measurements of superattenuator seismic isolation by Virgo interferometer. Astropart Phys, 2012, 33(3): 182–189
Ballardin G. Measurement of the VIRGO superattenuator performance for seismic noise suppression. Rev Sci Instrum, 2001, 72(9): 3643
Marka S, Takamori A, Ando M, et al. Anatomy of the TAMA SAS seismic attenuation system. Class Quantum Grav, 2002, 19: 1605–1614
Grote H. Making it Work: Second Generation Interferometry in GEO 600. Hannover: Universitat Hannover, 2003
Plissi M V, Strain K A, Torrie C I, et al. Aspects of the suspension system for GEO 600. Rev Sci Instrum, 1998, 69(8): 3055
Abbott R, Adhikari R, Allen G, et al. Seismic isolation for Advanced LIGO. Class Quantum Grav, 2002, 19: 1591–1597
Braginsky V B, Vyatchanin S P. Thermodynamical fluctuations in optical mirror coatings. Phys Lett A, 2003, 312: 244–255
Evans M, Ballmer S, Fejer M, et al. Thermo-optic noise in coated mirrors for high-precisionoptical measurements. Phys Rev D, 2008, 78: 102003
Harry G, Bodiya T, DeSalvo R. Optical Coatings and Thermal Noise in Precision Measurement. Cambridge: Cambridge University Press, 2012
Bassiri R, Evans K, Borisenko K, et al. Correlations between the mechanical loss and atomic structure of amorphous TiO2-doped Ta2O5 coatings. Acta Mater, 2013, 61(4): 1070–1077
Evans K, Bassiri R, Maclaren I, et al. Reduced density function analysis of titanium dioxide doped tantalum pentoxide. J Phys-Conf Ser, 2012, 371: 012058
Hong T, Yang H, Gustafson E K, et al. Brownian thermal noise in multilayer coated mirrors. Phys Rev, 2013, D87: 082001
Flaminio R, Franc J, Michel C, et al. A study of coating mechanical and optical losses in view of reducing mirror thermal noise in gravitational wavedetectors. Class Quantum Grav, 2010, 27: 084030
Kondratiev N M, Gurkovsky A G, Gorodetsky M L. Thermal noise and coating optimization in multilayerdielectric mirrors. Phys Rev, 2011, D84: 022001
Harry GM, Abernathy MR, Becerra-Toledo A E, et al. Titania-doped tantala/silica coatings for gravitational-wave detection. Class Quantum Grav, 2007, 24: 405–416
Harry G M, Armandula H, Black E, et al. Thermal noise from optical coatings in gravitational wave detectors. Appl Opt, 2006, 45(7): 1569
Harry G M, Gretarsson A M, Saulson P R, et al. Thermal noise in interferometric gravitational wave detectors due to dielectric optical coatings. Class Quantum Grav, 2002, 19: 897–918
Rowan S, Hough J, Crooks D R M. Thermal noise and material issues for gravitational wave detectors. Phys Lett A, 2005, 347: 25–32
Penn S D, Sneddon P H, Armandula H, et al. Mechanical loss in tantala/ silica dielectric mirror coatings. Class Quantum Grav, 2003, 20: 2917–2928
Driggers J C, Harms J, Adhikari R X. Subtraction of Newtonian noise using optimized sensor arrays. Phys Rev D, 2012, 86: 102001
Harms J, Hild S. Passive Newtonian noise suppression for gravitational-wave observatories based on shaping of the local topography. Class Quantum Grav, 2014, 31: 185011
Caves C M. Quantum mechanical noise in an interferometer. Phys Rev D, 1981, 23: 1693–1708
Caves C M, Schumaker B L. New formalism for two-photon quantum optics. 1. Quadrature phases and squeezed states. Phys Rev A, 1985, 31: 3068–3092
Schumaker B L, Caves CM. New formalism for two-photon quantum optics. 2. Mathematical foundation and compact notation. Phys Rev A, 1985, 31: 3093–3111
Loudon R. Quantum limit on the Michelson interferometer used for gravitational wave detection. Phys Rev Lett, 1981, 47: 815–818
Braginsky V B, Khalili F Y. Quantum Measurement. Cambridge: Cambridge University Press, 1999
Hello P, Vinet J. Numerical model of transient thermal effects in high power optical resonators. J Phys (France), 1990, 51: 1267
Winkler W, Danzmann K, Rüdiger A, et al. Heating by optical absorption and the performance of interferometric gravitational wave detectors. Phys Rev A, 1991, 44: 7022–7036
Lawrence R, Ottaway D, Zucker M, et al. Active correction of thermal lensing through external radiative thermal actuation. Opt Lett, 2004, 29: 2635
Meers B J. Recycling in laser interferometric gravitational wave detectors. Phys Rev D, 1988, 38: 2317–2326
Mizuno J. Comparison of Optical Configurations for Laserinterferometric Gravitational-wave Detectors. Garching: Universitat Hannover and Max-Planck-Institut fur Quantenoptik, 1995
Mizuno J. Resonant sideband extraction: A new configuration for interferometric gravitational wave detectors. Phys Lett A, 1993, 175: 273–276
Strain K A, Muller G, Delker T, et al. Sensing and control in dualrecycling laser interferometer gravitational-wave detectors. Appl Opt, 2003, 42: 1244
Aasi J, Abadie J, Abbott B P, et al. (VIRGO, LIGO Scientific Collaboration). Prospects for localization of gravitational wave transients by the advanced LIGO and advanced Virgo observatories. arXiv:1304.0670
Accadia T, Acernese F, Alshourbagy M, et al. Virgo: A laser interferometer to detect gravitational waves. J Instrum, 2012, 7: P03012
Acernese F, Agathos M, Agatsuma K, et al. Advanced Virgo: A second-generation interferometric gravitational wave detector. Class Quantum Grav, 2015, 32: 024001
Callen H B, Greene R F. On a theorem of irreversible thermodynamics. Phys Rev, 1952, 86: 702; Callen H B, Welton T A. Irreversibility and generalized noise. Phys Rev, 1951, 83: 34
Saulson P R. Thermal noise in mechanical experiments. Phys Rev D, 1990, 42(8): 2437–2445
Gretarsson A M, Harry G M, Penn S D, et al. Effect of optical coating and surface treatments on mechanical loss in fused silica. In: 3rd Edoardo Amaldi Conference on Gravitational Waves, AIP Conference proceedings, 2000. 523: 306
Levin Y. Internal thermal noise in the LIGO test masses: A direct approach. Phys Rev D, 57(2): 659–663
Penn S D, Ageev A, Busby D, et al. Frequency and surface dependence of the mechanical loss in fused silica. Phys Lett A, 2006, 352(1-2): 3–6
Braginsky V B, Gorodetsky M L, Vyatchanin S P. Thermodynamical fluctuations and photo-thermal shot noise in gravitational wave antennae. Phys Lett A, 1999, 264(1): 1–10
Braginsky V B, Vyatchanin S P. Corner reflectors and quantum-nondemolition measurements in gravitational wave antennae. Phys Lett A, 2004, 324: 345–360
Abernathy M, Acernese F, Ajith P, et al. Einstein gravitational wave telescope conceptual design study. ET-106C-10, https://tds.egogw. it/itf/tds/file.php?callFile=ET-0106C-10.pdf; Punturo M, Abernathy M, Acernese F, et al. The Einstein Telescope: A thirdgeneration gravitational wave observatory. Class Quantum Grav, 2010, 27: 194002
Vacher R, Courtens E, Foret M. An harmonic versus relaxational sound damping in glasses. II. Vitreous silica. Phys Rev B, 2005, 72: 214205
Martin I W, Chalkley E, Nawrodt R, et al. Comparison of the temperature dependence of the mechanical dissipation in thin films of Ta2O5 and Ta2O5 doped with TiO2. Class Quantum Grav, 2009, 26: 155012
Hirose E, Craig K, Ishitsuka H, et al. Mechanical loss of a multilayer tantala/silica coating on a sapphire disk at cryogenic temperatures: Toward the KAGRA gravitational wave detector. Phys Rev D, 2014, 90: 102004
Nawrodt R, Zimmer A, Koettig T, et al. High mechanical Q-factor measurements on silicon bulk samples. J Phy-Conf Ser, 2008, 122(1): 012008
Degallaix J, Komma J, Forest D, et al. Measurement of the optical absorption of bulk silicon at cryogenic temperature and the implication for the Einstein Telescope. Class Quantum Grav, 2014, 31(18): 185010
Hirose E, Bajuk D, Billingsley G, et al. Sapphire mirror for the KAGRA gravitational wave detector. Phys Rev D, 2014, 89(6): 062003
Uchiyama T, Furuta K, Ohashi M, et al. Excavation of an underground site for a km-scale laser interferometric gravitational-wave detector. Class Quantum Grav, 2014, 31(22): 224005
Aso Y, Michimura Y, Somiya K, et al. Interferometer design of the KAGRA gravitational wave detector. Phys Rev D, 2013, 88(4): 043007
Sakakibara Y, Akutsu T, Chen D, et al. Progress on the cryogenic system for the KAGRA cryogenic interferometric gravitational wave telescope. Class Quantum Grav, 2014, 31(22): 224003
Sakakibara Y, Kimura N, Akutsu T, et al. Performance test of pipeshaped radiation shields for cryogenic interferometric gravitational wave detectors. Class Quantum Grav, 2015, 32(15): 155011
Chen D. Study of a Cryogenic Suspension System for the Gravitational Wave Telescope KAGRA. Dissertation for the Doctoral Degree. Tokyo: The University of Tokyo, 2015
Khalaidovski A, Hofmann G, Chen D, et al. Evaluation of heat extraction through sapphire fibers for the GW observatory KAGRA. Class Quantum Grav, 2014, 31(10): 105004
Kumar R, Chen D, Hagiwara A, et al. Status of the cryogenic payload system for the KAGRA detector. In: Proceedings of the 11th Amaldi conference on Gravitational Waves, 2015. In press
Chen D, Naticchioni L, Khalaidovski A, et al. Vibration measurement in the KAGRA cryostat. Class Quantum Grav, 2014, 31(22): 224001
Hild S, Chelkowski S, Freise A, et al. A xylophone configuration for a third-generation gravitational wave detector. Class Quantum Grav, 2010, 27(1): 015003
Cole G D, Zhang W, Martin M, et al. Tenfold reduction of Brownian noise in high-reflectivity optical coatings. Nat Photonics, 2013, 7(8): 644–650
Taylor J H, Taylor J M. Gravitational radiation and thebinary pulsar PSR 1913+16. Astrophys J, 1982, 253: 908–920
Weisberg J M, Nice D J, Taylor J H. Timing measurements of the relativistic binary pulsar PSR B1913+16. Astrophys J, 2010, 722: 1030–1034
Sazhin M V. Opportunities for detecting ultralong gravitational waves. Soviet Astron, 1978, 22: 36–38
Detweiler S. Pulsar timing measurements and the search for gravitational waves. Astrophys J, 1979, 234: 1100–1104
Estabrook F B, Wahlquist H D. Response of Doppler spacecraft tracking to gravitational radiation. Gen Relat Grav, 1975, 6: 439–447
Hellings RW, Downs G S. Upper limits on the isotropic gravitational radiation backgroundfrom pulsar timing analysis. Astrophys J, 1983, 265: L39–L42
Romani RW, Taylor J H. An upper limit on the stochastic background of ultralow-frequencygravitational waves. Astrophys J, 1983, 265: L35–L37
Bertotti B, Carr B J, Rees M J. Limits from the timing of pulsars on the cosmic gravitational wavebackground. Mon Not R Astron Soc, 1983, 203: 945–954
Backer D C, Kulkarni S R, Heiles C, et al. A millisecond pulsar. Nature, 1982, 300: 615–618
Davis M M, Taylor J H, Weisberg J M, et al. High-precision timing observations of the millisecond pulsar PSR1937 + 21. Nature, 1985, 315: 547–550
Rawley L A, Taylor J H, Davis M M, et al. Millisecond pulsar PSR 1937+21—A highly stable clock. Science, 1987, 238: 761–765
Stinebring D R, Ryba M F, Taylor J H, etal. Cosmic gravitationalwave background—Limits from millisecond pulsar timing. Phys Rev Lett, 1990, 65: 285–288
Kaspi V M, Taylor J H, Ryba M F. High-precision timing of millisecond pulsars. 3: Long-termmonitoring of PSRs B1855+09 and B1937+21. Astrophys J, 1994, 428: 713–728
Romani R W. Timing a millisecond pulsar array. Adv Sci Inst (ASI) Ser C, 1989, 262: 113
Foster R S, Backer D C. Constructing a pulsar timing array. Astrophys J, 1990, 361: 300–308
Manchester R N, Hobbs G, Bailes M, et al. The Parkes pulsar timing array project. Pub Astron Soc Aust, 2013, 30: 17
Hobbs G. The Parkes pulsar timing array. Class Quantum Grav, 2013, 30(22): 224007
Kramer M, Champion D J. The European pulsar timing array and the large European array for pulsars. Class Quantum Grav, 2013, 30(22): 224009
McLaughlin M A. The North American nanohertz observatory for gravitational waves. Class Quantum Grav, 2013, 30(22): 224008
Hobbs G, Archibald A, Arzoumanian Z, et al. The international pulsar timing array project: Using pulsars as a gravitational wave detector. Class Quantum Grav, 2010, 27(8): 084013
Manchester R N. The international pulsar timing array. Class Quantum Grav, 2013, 30(22): 224010
McLaughlin M A. The international pulsar timing array: A galactic scale gravitational wave observatory. arXiv:1409.4579v2
Wang N. Xinjiang Qitai 110 m radio telescope (in Chinese). Sci Sin- Phys Mech Astron, 2014, 44: 783–794
Nan R, Li D, Jin C, et al. The Five-hundred Aperture Spherical Radio Telescope (fast) project. Int J Mod Phys D, 2011, 20: 989–1024
Hobbs G, Dai S, Manchester R N, et al. The role of FAST in pulsar timing arrays. arXiv:1407.0435v1
Lazio T J W. The square kilometre array pulsar timing array. Class Quantum Grav, 2013, 30(22): 224011
Ferdman R D, van Haasteren R, Bassa C G, et al. The European pulsar timing array: Current efforts and a LEAP towardthe future. Class Quantum Grav, 2010, 27(8): 084014
Manchester R N, Hobbs G B, Teoh A, et al. The Australia telescope national facility pulsar catalogue. Astron J, 2005, 129: 1993–2006
Wolszczan A, Frail D A. A planetary system around the millisecond pulsar PSR1257 + 12. Nature, 1992, 355: 145–147
Burgay M, D’Amico N, Possenti A, et al. An increased estimate of the merger rate of double neutron stars from observations of a highly relativistic system. Nature, 2003, 426: 531–533
Lyne A G, Burgay M, Kramer M, et al. A double-pulsar system: A rare laboratory for relativistic gravityand plasma physics. Science, 2004, 303: 1153–1157
Kramer M, Stairs I H, Manchester R N, et al. Tests of general relativity from timing the double pulsar. Science, 2006, 314: 97–102
Hewish A, Bell S J, Pilkington J D H, et al. Observation of a rapidly pulsating radio source. Nature, 1968, 217: 709–713
Lorimer D R, Kramer M. Handbook of Pulsar Astronomy. Cambridge: Cambridge University Press, 2005
Manchester R N, Taylor J H. Pulsars. San Francisco: WH Freeman and Company, 1977
Edwards R T, Hobbs G B, Manchester R N. TEMPO2, a new pulsar timing package—II. The timing model andprecision estimates. Mon Not R Astron Soc, 2006, 372: 1549–1574
Lommen A N, Demorest P. Pulsar timing techniques. Class Quantum Grav, 2013, 30(22): 224001
Hobbs G B, Edwards R T, Manchester R N. TEMPO2, a new pulsartiming package—I. An overview. Mon Not R Astron Soc, 2006, 369: 655–672
Hobbs G B, Jenet F, Lee K J, et al. TEMPO2: A new pulsar timing package—III. Gravitational wavesimulation. Mon Not R Astron Soc, 2009, 394: 1945–1955
Lentati L, Alexander P, Hobson M P. TEMPONEST: A Bayesian approach to pulsar timing analysis. Mon Not R Astron Soc, 2014, 437: 3004–3023
Vigeland S J, Vallisneri M. Bayesian inference for pulsar-timing models. Mon Not R Astron Soc, 2014, 440: 1446–1457
Shannon R M, Oslowski S, Dai S, et al. Limitations in timing precision due to single-pulse shape variability in millisecond pulsars. Mon Not R Astron Soc, 2014, 443: 1463–1481
Dolch T, LamMT, Cordes J, et al. A 24 Hr global campaign to assess precision timing of the millisecond pulsar J1713+0747. Astrophys J, 2014, 794: 21
Oslowski S, van Straten W, Hobbs G B, et al. High signal-to-noise ratio observations and the ultimate limits ofprecision pulsar timing. Mon Not R Astron Soc, 2011, 418: 1258–1271
Oslowski S, van Straten W, Demorest P, et al. Improving the precision of pulsar timing through polarization statistics. Mon Not R Astron Soc, 2013, 430: 416–424
Blandford R, Romani R W, Narayan R. Arrival-time analysis for a millisecond pulsar. J Astrophys Astron, 1984, 5: 369–388
Hobbs G B, Lyne A, Kramer M. Pulsar timing noise. Chin J Astron Astrophys Suppl, 2006, 6(2): 169–175
Lyne A, Kramer M. An analysis of the timing irregularities for 366 pulsars. Mon Not R Astron Soc, 2010, 402: 1027–1048
Shannon RM, Cordes J M. Assessing the role of spin noise in the precision timing of millisecond pulsars. Astrophys J, 2010, 725: 1607–1619
Coles W, Hobbs G B, Champion D J, et al. Pulsar timing analysis in the presence of correlated noise. Mon Not R Astron Soc, 2011, 418: 561–570
van Haasteren R, Levin Y. Understanding and analysing timecorrelated stochastic signals inpulsar timing. Mon Not R Astron Soc, 2013, 428: 1147–1159
Demorest P B, Ferdman R D, Gonzalez M E, et al. Limits on the stochastic gravitational wave background from the North American nanohertz observatory for gravitational waves. Astrophys J, 2013, 762: 94
Keith MJ, Coles W, Shannon RM. et al. Measurement and correction of variations in interstellar dispersionin high-precision pulsar timing. Mon Not R Astron Soc, 2013, 429: 2161–2174
Lee K J, Bassa C G, Janssen G H, etal. Model-based asymptotically optimal dispersion measure correction forpulsar timing. Mon Not R Astron Soc, 2014, 441: 2831–2844
You X P, Hobbs G B, Coles W, et al. Dispersion measure variations and their effect on precision pulsartiming. Mon Not R Astron Soc, 2007, 378: 493–506
Narayan R. The physics of pulsar scintillation. Roy Soc London Philos Trans Ser A, 1992, 341: 151–165
Stinebring D. Effects of the interstellar medium on detection of lowfrequencygravitational waves. Class Quantum Grav, 2013, 30(22): 224006
Cordes J M, Shannon R M. A measurement model for precision pulsar timing. arXiv:1010.3785v1
Demorest P B. Cyclic spectral analysis of radio pulsars. Mon Not R Astron Soc, 2011, 416: 2821–2826
Liu K, Desvignes G, Cognard I, et al. Measuring pulse times of arrival from broad-band pulsar observations. Mon Not R Astron Soc, 2014, 443: 3752–3760
Cordes J M, Shannon R M, Stinebring D R. Frequencydependent dispersion measures and implications for pulsar timing. arXiv:1503.08491v1
Hobbs G B, ColesW, Manchester R N, et al. Development of a pulsarbased time-scale. Mon Not R Astron Soc, 2012, 427: 2780–2787
Champion D J, Hobbs G B, Manchester R N, et al. Measuring the mass of solar system planets using pulsar timing. Astrophys J, 2010, 720: L201–L205
Jenet F A, Lommen A, Larson S L, et al. Constraining the properties of supermassive black hole systems using pulsar timing: Application to 3C 66B. Astrophys J, 606: 799–803
Yi S, Stappers BW, Sanidas S A, et al. Limits on the strength of individual gravitational wave sourcesusing high-cadence observations of PSR B1937+21. Mon Not R Astron Soc, 2014, 445: 1245–1252
Deng X, Finn L S. Pulsar timing array observations of gravitational wave source timingparallax. Mon Not R Astron Soc, 2011, 414: 50–58
Wahlquist H. The Doppler response to gravitational waves from a binary starsource. Gen Relat Grav, 1987, 19: 1101–1113
Sanidas S A, Battye R A, Stappers B W. Constraints on cosmic string tension imposed by the limit on thestochastic gravitational wave background from the European pulsar timing array. Phys Rev D, 2012, 85(12): 122003
Zhao W, Zhang Y, You X P, et al. Constraints of relic gravitational waves by pulsar timing arrays: Forecasts for the FAST and SKA projects. Phys Rev D, 2013, 87(12): 124012
Tong M L, Zhang Y, Zhao W, et al. Using pulsar timing arrays and the quantum normalization conditionto constrain relic gravitational waves. Class Quantum Grav, 2014, 31(3): 035001
Rajagopal M, Romani R W. Ultra-low-frequency gravitational radiation from massive black hole binaries. Astrophys J, 1995, 446: 543–549
Jaffe A H, Backer D C. Gravitational waves probe the coalescence rate of massive black hole binaries. Astrophys J, 2003, 583: 616–631
Wyithe J S B, Loeb A. Low-frequency gravitational waves from massive black hole binaries: Predictions for LISA and pulsar timing arrays. Astrophys J, 2003, 590: 691–706
Wen Z L, Liu F S, Han J L. Mergers of luminous early-type galaxies in the local universe and gravitational wave background. Astrophys J, 2009, 692: 511–521
Sesana A. Systematic investigation of the expected gravitational wave signalfrom supermassive black hole binaries in the pulsar timing band. Mon Not R Astron Soc, 2013, 433: L1–L5
Ravi V, Wyithe J S B, Hobbs G B, et al. Does a “stochastic” background of gravitational waves exist in the pulsar timing band? Astrophys J, 2012, 761: 84
McWilliams S T, Ostriker J P, Pretorius F. Gravitational waves and stalled satellites from massive galaxy mergers at z - 1. Astrophys J, 2014, 789: 156
Enoki M, Nagashima M. The effect of orbital eccentricity on gravitational wave background radiation from supermassive black hole binaries. Prog Theor Phys, 2007, 117: 241–256
Sesana A. Insights into the astrophysics of supermassive black hole binariesfrom pulsar timing observations. Class Quantum Grav, 2013, 30(22): 224014
Ravi V, Wyithe J S B, Shannon R M, et al. Binary supermassive black hole environments diminish the gravitational wave signal in the pulsar timing band. Mon Not R Astron Soc, 2014, 442: 56–68
Jenet F A, Hobbs G B, Lee K J, et al. Detecting the stochastic gravitational wave background using pulsar timing. Astrophys J, 2005, 625: L123–L126
Jenet F A, Hobbs G B, van Straten W, et al. Upper bounds on the low-frequency stochastic gravitational wave background from pulsar timing observations: Current limits and future prospects. Astrophys J, 2006, 653: 1571–1576
Yardley D R B, Coles W A, Hobbs G B, et al. On detection of the stochastic gravitational-wave background usingthe Parkes pulsar timing array. Mon Not R Astron Soc, 2011, 414: 1777–1787
van Haasteren R, Levin Y, Janssen G H, et al. Placing limits on the stochastic gravitational-wave background using European pulsar timing array data. Mon Not R Astron Soc, 2011, 414: 3117–3128
Lentati L, Taylor S R, Mingarelli CMF, et al. European pulsar timing array limits on an isotropic stochasticgravitational-wave background. Mon Not R Astron Soc, 2015, 453: 2576–2598
Shannon R M, Ravi V, Coles W A, et al. Gravitational-wave limits from pulsar timing constrain supermassive black hole evolution. Science, 2013, 342: 334–337
Springel V, White S D M, Jenkins A, et al. Simulations of the formation, evolution and clustering of galaxiesand quasars. Nature, 2005, 435: 629–636
Boylan-Kolchin M, Springel V, White S D M, et al. Resolving cosmic structure formation with the Millennium—II Simulation. Mon Not R Astron Soc, 2009, 398: 1150–1164
Kulier A, Ostriker J P, NatarAstron Jan P, et al. Understanding black hole mass assembly via accretion and mergers at late times in cosmological simulations. Astrophys J, 2015, 799: 178
Cornish N J, Sesana A. Pulsar timing array analysis for black hole backgrounds. Class Quantum Grav, 2013, 30(22): 224005
Mingarelli C M F, Sidery T, Mandel I, et al. Characterizing gravitational wave stochastic background anisotropywith pulsar timing arrays. Phys Rev D, 2013, 88(6): 062005
Taylor S R, Gair J R. Searching for anisotropic gravitational-wave backgrounds usingpulsar timing arrays. Phys Rev D, 2013, 88(8): 084001
Gair J, Romano J D, Taylor S, et al. Mapping gravitational-wave backgrounds using methods from CMB analysis: Application to pulsar timing arrays. Phys Rev D, 2014, 90(8): 082001
Taylor S R, Mingarelli C M F, Gair J R, et al. Limits on anisotropy in the nanohertz stochastic gravitational wave background. Phys Rev Lett, 2015, 15(4): 041101
Thorne K S. Three Hundred Years of Gravitation. Cambridge: Cambridge University Press, 1987
Sudou H, Iguchi S, Murata Y, et al. Orbital motion in the radio galaxy 3C 66B: Evidence for a supermassive black hole binary. Science, 2003, 300: 1263–1265
Sesana A, Vecchio A, Volonteri M. Gravitational waves from resolvable massive black hole binarysystems and observations with pulsar timing arrays. Mon Not R Astron Soc, 2009, 394: 2255–2265
Lee K J, Wex N, Kramer M, et al. Gravitational wave astronomy of single sources with a pulsar timing array. Mon Not R Astron Soc, 2011, 414: 3251–3264
Mingarelli C M F, Grover K, Sidery T, et al. Observing the dynamics of supermassive black hole binaries with pulsar timing arrays. Phys Rev Lett, 2012, 109(8): 081104
Ravi V, Wyithe J S B, Shannon RM, et al. Prospects for gravitationalwave detection and supermassive blackhole astrophysics with pulsar timing arrays. Mon Not R Astron Soc, 2015, 447: 2772–2783
Rosado P A, Sesana A, Gair J. Expected properties of the first gravitational wave signal detectedwith pulsar timing arrays. Mon Not R Astron Soc, 2015, 451: 2417–2433
Babak S, Sesana A. Resolving multiple supermassive black hole binaries with pulsartiming arrays. Phys Rev D, 2012, 85: 044034
Ellis J A, Siemens X, Creighton D E. Optimal strategies for continuous gravitational wave detection in pulsar timing arrays. Astrophys J, 2012, 756: 175
Ellis J A. A Bayesian analysis pipeline for continuous GW sources in the PTAband. Class Quantum Grav, 2013, 30(22): 224004
Taylor S, Ellis J, Gair J. Accelerated Bayesian model-selection and parameter-estimation incontinuous gravitational-wave searches with pulsar-timing arrays. Phys Rev D, 2014, 90(10): 104028
Wang Y, Mohanty S D, Jenet F A. A coherent method for the detection and parameter estimation of continuous gravitational wave signals using a pulsar timing array. Astrophys J, 2014, 795: 96
Zhu X J, Hobbs G, Wen L, et al. An all-sky search for continuous gravitational waves in the Parkes pulsar timing array data set. Mon Not R Astron Soc, 2014, 444: 3709–3720
Zhu X J, Hobbs G, Wen L, et al. Detection and localization of singlesource gravitational waves withpulsar timing arrays. Mon Not R Astron Soc, 2015, 449: 1650–1663
Yardley D R B, Hobbbs G B, Janet F A, et al. The sensitivity of the Parkes pulsar timing array to individualsources of gravitational waves. Mon Not R Astron Soc, 2010, 407: 669–680
Verbiest J P W, Balles M, Coles W A, et al. Timing stability of millisecond pulsars and prospects forgravitational-wave detection. Mon Not R Astron Soc, 2009, 400: 951–968
Arzoumanian Z, Brazier A, Burke-Spolaor S, et al. Gravitational waves from individual supermassive black hole binariesin circular orbits: Limits from the North American nanohertz observatory for gravitational waves. Astrophys J, 2014, 794: 141
Braginskii V B, Thorne K S. Gravitational-wave bursts with memory and experimental prospects. Nature, 1987, 327: 123–125
Favata M. Post-Newtonian corrections to the gravitational-wave memory forquasicircular, inspiralling compact binaries. Phys Rev D, 2009, 80(2): 024002
Seto N. Search for memory and inspiral gravitational waves from supermassive binary black holes with pulsar timing arrays. Mon Not R Astron Soc, 2009, 400: L38–L42
van Haasteren R, Levin Y. Gravitational-wave memory and pulsar timing arrays. Mon Not R Astron Soc, 2010, 401: 2372–2378
Pshirkov M S, Baskaran D, Postnov K A. Observing gravitational wave bursts in pulsar timing measurements. Mon Not R Astron Soc, 2010, 402: 417–423
Madison D R, Cordes J M, Chatterjee S. Assessing pulsar timing array sensitivity to gravitational wavebursts with memory. Astrophys J, 2014, 788: 141
Cordes J M, Jenet F A. Detecting gravitational wave memory with pulsar timing. Astrophys J, 2012, 752: 54
Wang J B, Hobbs G B, Coles W, et al. Searching for gravitational wave memory bursts with the Parkes pulsar timing array. Mon Not R Astron Soc, 2015, 446: 1657–1671
Arzoumanian Z, Brazier A, Burke-Spolaor S, et al. NANOGrav constraints on gravitational wave bursts with memory. arXiv:1501.05343v1
Finn L S, Lommen A N. Detection, localization, and characteriza tion of gravitational wavebursts in a pulsar timing array. Astrophys J, 2010, 718: 1400–1415
Vilenkin A. Gravitational radiation from cosmic strings. Phys Lett B, 1981, 107: 47–50
Damour T, Vienkin A. Gravitational wave bursts from cosmic strings. Phys Rev Lett, 2000, 85: 3761
Siemens X, Creighton J, Maor I, et al. Gravitational wave bursts from cosmic (super)strings: Quantitative analysis and constraints. Phys Rev D, 2006, 73(10): 105001
Amaro-Seoane P, Sesana A, Hoffman L, et al. Triplets of supermassive black holes: astrophysics, gravitationalwaves and detection. Mon Not R Astron Soc, 2010, 402: 2308–2320
Deng X. Searching for gravitational wave bursts via Bayesian nonparametricdata analysis with pulsar timing arrays. Phys Rev D, 2014, 0(2): 024020
Adam R, Ade P A R, Aghanim N, et al. (Planck Collaboration). Planck 2015 results. I. Overview of products and scientific results. arXiv:1502.01582
Bianchini F, Bielewicz P, Lapi A, et al. Cross-correlation between the CMB lensing potential measured by Planck and high-z submillimeter galaxies detected by the Herschel-Atlas Survey. Astrophys J, 2015, 802: 64
AdeP A R, Akiba Y, Anthony A E, et al. (the Polarbear Collaboration). A measurement of the cosmic microwave background B-mode polarization powerspectrum at sub-degree scales with POLARBEAR. Astrophys J, 2014, 794: 171
AdeP A R, Aikin R W, Barkats D, et al. Detection of B-mode polarization at degree angular scales by BICEP2. Phys Rev Lett, 2014, 112(24): 241101
Adam R, Ade P A R, Aghanim N, et al. (Planck Collaboration). The angular power spectrum of polarized dust emission at intermediateand high Galactic latitudes. arXiv:1409.5738
Ade P A R, Aghanim N, Ahmed Z, et al. (BICEP2/Keck and Planck Collaborations). Joint analysis of BICEP2/Keck array and Planck data. Phys Rev Lett, 2015, 114(10): 101301
Naess S, Hasselfield M, McMahon J, et al. The atacama cosmology telescope: CMB polarization at 200 l 9000. J Cosmol Astropart Phys, 2014, 10: 7
Keisler R, Hoover S, Harrington N, et al. Measurements of subdegree B-mode polarization in the cosmic microwave background from 100 square degrees of SPTpol data. Astrophys J, 2015, 807: 151
Adam R, Ade P A R, Aghanim N, et al. (Planck Collaboration). Diffuse component separation: Foreground maps. arXiv:1502.01588
Bennett C L, Larson D, Weiland J L, et al. Nine-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Final maps and results. Astrophys J, 2013, 208: 20
Bender P L. Additional astrophysical objectives for LISA follow-on missions. Class Quantum Grav, 2004, 21: 1203
Bender P L, Begelman M C. Trends in Space Science and Cosmic Vision 2020. ESA SP-588. Noordwijk: ESA Publications Division, 2005. 33–38
Gong X, Xu S, Bai S, et al. A scientific case study of the ALIA mission. Class Quantum Grav, 2011, 28: 094012
Gong X, Lau Y K, Xu S, et al. Descope of the ALIA mission. J Phys-Conf Ser, 2015, 610: 12011
Lau Y K. Feasibility study of gravitational wave detection in space. Report submitted to the National Space Science Center, Chinese Academy of Sciences for the project XDA04070400, 2014
Bender P L, Hils D. Confusion noise level due to galactic and extragalactic binaries. Class Quantum Grav, 1997, 14: 1439–1444
Farmer A J, Phinney E S. The gravitational wave background from cosmological compact binaries. In: American Astronomical Society Meeting Abstracts, volume 34 of Bulletin of the American Astronomical Society, 2002. 1225
Arun K G, Babak S, Berti E, et al. Massive black hole binary inspirals: Results from the LISA parameter estimation taskforce. Class Quantum Grav, 2009, 26: 094027
Jennrich O, Binetruy P, Colpi M, et al. Ngo revealing a hidden universe: Opening a new chapter of discovery. Assessment Study Report ESA/SRE(2011)19, European Space Agency, 2011
Zheng W, Hsu H, Zhong M, et al. Accurate and rapid error estimation on global gravitational field from current grace and future grace follow-on missions. Chin Phys B, 2009, 18(08): 3597–3604
Anselmi A. Assessment of a next generation mission for monitoring the variations of Earth’s gravity. Commercial in Confidence, SD-RPAI-0668, Thales Alenia Space, 2010
Gruber T. Earth System Mass Transport Mission: Concept for a Next Generation Gravity Field Mission. Technical Report NGGM-D, 2014
Sneeuw N. A Semi-analytical Approach to Gravity Field Analysis from Satellite Observations. Dissertation for the Doctoral Degree. Technischen: Technischen University, 2000
Gao W. Possible application of future satellite gravity mission to earthquake study in China, a scientific case study of the Wenchuan earthquake. In: Hu W R, Xu H Z, eds. GRACE Follow-On in China—A Program of Space Advanced Graivty Measurement, 2015
Xu P, Qiang Li, Bian X, et al. A preliminary study of level 1A data processing of a low-low satellite to satellite tracking mission. J Geod Geodyn, 2015. In press
Thorne K S. Gravitomagnetism, jets in quasars, and the stanford gyroscope experiment. In: Fairbank J D, Deaver Jr B S, Everitt C W F, eds. Near Zero: New Frontiers of Physics, 1988. 573–586
Ciufolini I, Wheeler J A. Gravitation and Inertia. Princeton: Princeton University Press, 1995
Braginskii V B, Polnarev A G. Relativistic spin-quadrupole gravitational effect. ZhETF Pisma Redaktsiiu, 1980, 31: 444–447
Mashhoon B, Paik H J, Will C M. Detection of the gravitomagnetic field using an orbiting superconducting gravity gradiometer. Theoretical principles. Phys Rev D, 1989, 39: 2825–2838
Xu P, Qiang L, Dong P, et al. Precision measurement of planetary gravitomagnetic field in general relativity with laser interferometry in space (I)—Theoretical foundations. Preprint, 2015
Clohessy W H, Wiltshire R S. Terminal guidance system for satellite rendezvous. J Aerospace Sci, 1960, 27: 653–65
Schiff L I. Motion of a gyroscope according to Einstein’s theory of gravitation. Proc Natl Acad Sci USA, 1960, 46: 871–882
Everitt C W F, Debra D B, Parkinson B W, et al. Gravity probe B: Final results of a space experiment to test general relativity. Phys Rev Lett, 2011, 106: 221101
Ciufolini I. A comprehensive introduction to the LAGEOS gravitomagnetic experiment: From the importance of the gravitomagnetic field in physics to preliminary error analysis and error budget. Int J Mod Phys A, 1989, 4: 3083–3145
Ciufolini I, Pavlis E C. A confirmation of the general relativistic prediction of the Lense-Thirring effect. Nature, 2004, 431: 958–960
Ciufolini I, Paolozzi A, Pavlis E, et al. Testing general relativity and gravitational physics using the LARES satellite. Eur Phys J Plus, 2012, 127: 133
Xu P, Qiang L, Dong P, et al. Precision measurement of planetary gravitomagnetic field in general relativity with laser interferometry in space (II)— Signal to noise ratio analysis. Preprint, 2015
NiW T, Shy J T, Tseng S M, et al. Progress in mission concept study and laboratory development for the ASTROD—Astrodynamical Space Test of Relativity using Optical Devices. Proc SPIE, 1997, 3116: 105
Ni W T, Sandford M C W, Veillet C, et al. Astrodynamical space test of relativity using optical devices. Adv Space Res, 2003, 32: 1437–1441
Ni WT. ASTROD and gravitational waves. In: Tsubono K, Fujimoto M-K, Kuroda K, eds. Gravitational Wave Detection. Tokyo: Universal Academy Press, 1997. 117
Liao A C, Ni W T, Shy J T. Weak-light phase locking research for ASTROD (in Chinese). Publ Yunnan Observ, 2002, 3: 88
Liao A C, Ni W T, Shy J T. Pico-watt and femto-watt weak-light phase locking. Int J Mod Phys D, 2002, 11: 1075–1085
Dick G J, Strekalov M D, Birnbaum K. Optimal phase lock at femtowatt power levels for coherent optical deep-space transponder. IPN Prog Rep, 2008, 42: 175
Dhurandhar S V, Ni W T, Wang G. Numerical simulation of time delay interferometry for a LISA-like mission with the simplification of having only one interferometer. Adv Space Res, 2013, 51: 198–206
Wang G, Ni W T. Numerical simulation of time delay interferometry for eLISA/NGO. Class Quantum Grav, 2013, 30: 065011
Wang G, Ni W T. ASTROD-GW time delay interferometry. Chin Astron Astrophys, 2012, 36: 211
Wang G, Ni W T. Orbit optimization for ASTROD-GW and its time delay interferometry with two arms using CGC ephemeris. Chin Phys B, 2013, 22(4): 049501
Wang G, Ni W T. Orbit optimization and time delay interferometry for inclined ASTROD-GW formation with half-year precessionperiod. Chin Phys B, 2015, 24: 059501
Amstrong J W, Estabrook F B, Tinto M. Time-delay interferometry for space-based gravitational wave searches. Astrophys J, 1999, 527(2): 814–826
Tinto M, Dhurandhar S V. Time-delay interferometry. Liv Rev Rel, 2014, 17: 6
de Vine G, Ware B, McKenzie K, et al. Experimental demonstration of time-delay interferometry for the laser interferometer space antenna. Phys Rev Lett, 2010, 104(21): 211103
Thorne K S. Gravitational waves. In: Kolb E W, Peccei R D, eds. Particle and Nuclear Astrophysics and Cosmology in the Next Millennium. Singapore: World Scientific, 1995. 160
Ni W T. Gravitational wave, dark energy and inflation. Mod Phys Lett A, 2010, 25: 922–935
Kuroda K, Ni W T, Pan W P. Gravitational waves: Classification, methods of detection, sensitivities, and sources. Int J Mod Phys D, 2015, 24: 1530031. In: Ni W T, ed. One Hundred Years of General Relativity: From Genesis and Empirical Foundations to Gravitational Waves, Cosmology and Quantum Gravity. Singapore: World Scientific, 2015. Chapter 11
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Blair, D., Ju, L., Zhao, C. et al. Gravitational wave astronomy: the current status. Sci. China Phys. Mech. Astron. 58, 120402 (2015). https://doi.org/10.1007/s11433-015-5748-6
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DOI: https://doi.org/10.1007/s11433-015-5748-6