引力波背景下的电磁波ELECTROMAGNETIC WAVES IN THE BACKGROUND OF GRAVITATIONAL WAVES
曾定方
摘要(Abstract)：
本文首先介绍了激光干涉引力波探测实验原理教学的时空图方法,紧接着对引力波背景下一种具有简单然而非平庸时空轮廓的电磁场的波动方程进行了化简并求出了其解析解,最后利用所得解对激光干涉引力波探测实验中测地光子近似的有效性进行了定量的评估和分析。我们的结果对激光干涉引力波探测原理和弯曲时空中麦克斯韦方程组及电磁波理论的教学有积极的探讨价值。
关键词(KeyWords)： 激光干涉引力波探测;弯曲时空背景下的麦氏方程组;电磁波
基金项目(Foundation):
作者(Author): 曾定方
参考文献(References)：
- [1]The LIGO Scientific Collaboration,the Virgo Collaboration.Observation of Gravitational Waves from a Binary Black Hole Merger”,Phys.Rev.Lett.116(2016)061102.
- [2]LIGO Scientific and Virgo Collaborations.GW151226:Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence,Phys.Rev.Lett.116(2016)241103.
- [3]Rudenko V N,Sashin M V.Laser interferometer as a gravitational wave detector[J].Sov.J.Quantum Electron 10(11),Nov.1980.
- [4]Shutz B.A First Course in General Relativity[M].2nd ed.,Sec 9.1,Cambridge University Press,2009.
- [5]Wald R.General Relativity,Sec 4.3[M].The University of Chicago University Press,1984.
- [6]Robinson S P,Wilczek F.Gravitational Correction to Running of Gauge Couplings[J].Phys.Rev.Lett.96(2006),231601.
- [7]Bhatt J R,Patra S,Sarkar U.Gravitational correction to SU(5)gauge coupling unification[J].Mod.Phys.Lett.A25(2010),283-293.
- [8]Rodigast A,Schuster T.Gravitational Corrections to Yukawa and Phi4Interactions[J].Phys.Rev.Lett.104(2010),081301.
- [9]Toms D J.Quantum gravitational contributions to quantum electrodynamics[J].Nature 468(2010),56-59.
- [10]Felipe J C C,Brito L C T,Sampaio M,et al.Quantum gravitational contributions to the beta function of quantum electrodynamics[J].Phys.Lett.B700(2011),86-89.
- [11]Leonard K E,Woodard R P.Graviton Corrections to Maxwells Equations,Phys.Rev.D85(2012),104048.
- [12]Narain G,Anishetty R.Running Couplings in Quantum Theory of Gravity Coupled with Gauge Fields[J].JHEP,1310(2013),203.
- [13]Sheng C,Liu H,Wang Y,et al.Trapping light by mimicking gravitational lensing[J].Nature Photonics 2013(2013)247.
- [14]Cowen R.Curved space-time on a photonic chip[J].Nature(News and comments),29th,Sept.2013,[15]祝世宁.Curved space time on a photonic chip[R].2014全国电动力学研讨会(南京)报告.