WANG Wenyu,XU Yang

• 1:Institute of Theoretical Physics
• 2:College of Applied Science
• 3:Beijing University of Technology

摘要(Abstract)：

Based on the relationship between proper distance and coordinate distance,the geometrical phenomenon caused by the passing gravitational waves can not be observed locally.The electromagnetic wave equations in the background gravitational waves are studied.We find that the expansion and contraction of wave lengths are always synchronous with the objects it measures.The background of the gravitational waves leads to dissipation and dispersion in the propagation of electromagnetic wave.The phase of the gravitational waves control the dissipation term and dispersion term in the telegrapher's equation.The linearly polarized laser beam propagating in the direction of the incoming gravitational waves can give a possible measurement on the local metric.In case of the pulsed beats passing by,the relaxation time is greater than the period of the gravitational waves,thus the detector may only show a signal of the modulation of the beats.Finally we proposed a non-local interference experiment to detect the high-frequency gravitational waves.It is similar to the measurement of redshift caused by gravitation.Together with the ordinary detector,it will give us further and mutually measurements of the gravitational waves.

关键词(KeyWords)：

Abstract:

Keywords:

基金项目(Foundation): supported by the Natural Science Foundation of China under grant number 11775012

作者(Author): WANG Wenyu,XU Yang

DOI: 10.27024/j.wlygc.2026.02.11.03

参考文献(References)：

• [1] ABBOTT B P,ABBOTT R,ABBOTT T D,et al.LIGO Scientific and Virgo Collaborations.Observation of Gravitational Waves from a Binary Black Hole Merger[J].Physical Review Letters,2016,116(13):131103.
• [2] VITALE S.Binary Black Hole Mergers in the First Advanced LIGO Observing Run[J].Physical Review Letters,2016,116(5):051102.
• [3] ABBOTT B P,ABBOTT R,ABBOTT T D,et al.LIGO Scientific and Virgo Collaborations.GW151226:Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence[J].Physical Review Letters,2016,116(24):241103.
• [4] ABBOTT B P,ABBOTT R,ABBOTT T D,et al.LIGO Scientific and Virgo Collaborations.GW170814:A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence[J].Physical Review Letters,2017,119(22):221101.
• [5] ABBOTT B P,ABBOTT R,ABBOTT T D,et al.LIGO Scientific and Virgo Collaborations.GW170817:Observation of Gravitational Waves from a Binary Neutron Star Inspiral[J].Physical Review Letters,2017,119(14):141101.
• [6] ABBOTT B P,ABBOTT R,ABBOTT T D,et al.LIGO Scientific and Virgo Collaborations.GW170817:Implications for the Stochastic Gravitational-Wave Background from Compact Binary Coalescences[J].The Astrophysical Journal,2017,842(2):L35.
• [7] ABBOTT B P,ABBOTT R,ABBOTT T D,et al.LIGO Scientific and Virgo Collaborations.GW170608:Observation of a 19-Solar-Mass Binary Black Hole Coalescence[J].Physical Review Letters,2017,119(16):161101.
• [8] CABRAL F,LOBO F S N.Gravitational waves and electrodynamics:New perspectives[J].The European Physical Journal C,2017,77(4):237 [arXiv:1603.08157 [gr-qc]].
• [9] GOND??N L,KOCSIS B.Measurement Accuracy of Inspiraling Eccentric Neutron Star and Black Hole Binaries Using Gravitational Waves[J/OL].arXiv:1809.00672 [astro-ph.HE],2018.https://arxiv.org/abs/1809.00672.
• [10] GOLDSTEIN A,et al.An Ordinary Short Gamma-Ray Burst with Extraordinary Implications:Fermi-GBM Detection of GRB 170817A[J].The Astrophysical Journal,2017,834(2):L14.
• [11] KRAMER M,CHAMPION D J.The International Pulsar Timing Array:second data release[J].Classical and Quantum Gravity,2013,30:224009.
• [12] MCLAUGHLIN M A.The North American Nanohertz Observatory for Gravitational Waves[J].Classical and Quantum Gravity,2013,30:224008.
• [13] HOBBS G.The Parkes Pulsar Timing Array project[J].Classical and Quantum Gravity,2013,30:224007.
• [14] HARRY G M.LIGO Scientific Collaboration[J].Classical and Quantum Gravity,2010:084006.
• [15] ACERNESE F,et al.VIRGO Collaboration[J].Classical and Quantum Gravity,2015(2):024001.
• [16] ASO Y,et al.KAGRA Collaboration[J].Physical Review D,2013(4):043007.
• [17] AASI J,et al.LIGO Scientific Collaboration[J].Classical and Quantum Gravity,2015:074001.
• [18] WEISS R.Electromagnetically coupled broadband gravitational antenna,LIGO Report No.LIGO-P720002,https://dcc.ligo.org/LIGO-P720002/public/main.
• [19] WEINGERG S.Gravitation and Cosmplogy:Principles and Applications of the General Theory of Relativity,Massachusetts Institute of Technology.
• [20] RILES K.Gravitational Waves:Sources,Detectors and Searches[J].Progress in Particle and Nuclear Physics,2013,68:1-54.arXiv:1209.0667 [hep-ex].
• [21] CAPOZZIELLO S,LAURENTIS M D.Extended Theories of Gravity[J].Physics Reports,2011,509(4-5):167-321.
• [22] OHANIAN H C,RUFFINI R.Gravitation and Spacetime.
• [23] JACKSON J D.Classical Electrodynamics[M].Berkeley:University of California Press,1999.
• [24] FORWARD R L.Gravitational radiation from rotating neutron stars[J].Physical Review D,1978,17:379.DIRKES A.-Gravitational Waves—A Review on the Conceptual Foundations of Gravitational Radiation[J].International Journal of Modern Physics A,2018,33(21):1830013.
• [25] ABBOTT B P,ABBOTT R,ABBOTT T D,et al.LIGO Scientific and Virgo Collaborations.Observation of Gravitational Waves from a Binary Black Hole Merger[J].Physical Review Letters,2016,116(6):061102.
• [26] PFENNING M J,POISSON E.Gravitational waves from inspiraling compact binaries:The quadrupole moment correction to the phasing[J].Physical Review D,2002,66:084001 [gr-qc/0012057].TSAGAS C G.Constraints on scalar-tensor theories of gravity from binary pulsars[J].Classical and Quantum Gravity,2005,22:393 [gr-qc/0407080].
• [27] HOENDERS B J,GRAAFF R.Polarization effects in gravitational wave detectors[J].Optics Communications,2005,255:184.RANFAGNI A,FABENI P,PAZZI G P,et al.Gravitational waves and light propagation in the field of a rotating body[J].Physical Review E,1995,51:1453.
• [28] CRAWFORD F S Jr.Waves[M]//Berkeley Physics Course:Vol.3.Berkeley:University of California Press,1968.
• [29] CULETU H.On a nonlinear gravitational wave.Geodesics[J].Progress of Theoretical and Experimental Physics,2016(12):123E02 [arXiv:1605.04467 [gr-qc]].SLAGTER R J.Nonlinear gravitational waves as dark energy in warped spacetimes[J/OL].arXiv:1407.7505 [gr-qc],2014.https://arxiv.org/abs/1407.7505.CALDWELL R R,DEVULDER C,MAKSIMOVA N A.Gravitational Wave-Gauge Field Oscillations[J].Physical Review D,2016,93:063005 [arXiv:1604.08939 [gr-qc]].
• [30] CAO Z J,YO H J,YU J P.A Reinvestigation of Moving Punctured Black Holes with a New Code[J].Physical Review D,2008,78:124011 [arXiv:0812.0641 [gr-qc]].JI L W,CAI R G,CAO Z,et al.Binary black hole simulation with an adaptive finite element method III:Evolving a single black hole[J/OL].arXiv:1805.10642 [gr-qc],2018.https://arxiv.org/abs/1805.10642.CAO Z J,PU F,JI L W,et al.Binary black hole simulation with an adaptive finite element method II:Application of local discontinuous Galerkin method to Einstein equations[J/OL].arXiv:1805.10640 [gr-qc],2018.https://arxiv.org/abs/1805.10640.TORRES-ORJUELA A,CHEN X,CAO Z J,et al.Detecting the Beaming Effect of Gravitational Waves[J/OL].arXiv:1806.09857 [astro-ph.HE],2018.https://arxiv.org/abs/1806.09857.