Reducing the calculation workload of the Green function for electromagnetic scattering in a Schwarzschild gravitational field
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摘要
When the finite difference time domain(FDTD) method is used to solve electromagnetic scattering problems in Schwarzschild space-time, the Green functions linking source/observer to every surface element on connection/output boundary must be calculated.When the scatterer is electrically extended, a huge amount of calculation is required due to a large number of surface elements on the connection/output boundary.In this paper, a method for reducing the calculation workload of Green function is proposed.The Taylor approximation is applied for the calculation of Green function.New transport equations are deduced.The numerical results verify the effectiveness of this method.
When the finite difference time domain(FDTD) method is used to solve electromagnetic scattering problems in Schwarzschild space-time, the Green functions linking source/observer to every surface element on connection/output boundary must be calculated.When the scatterer is electrically extended, a huge amount of calculation is required due to a large number of surface elements on the connection/output boundary.In this paper, a method for reducing the calculation workload of Green function is proposed.The Taylor approximation is applied for the calculation of Green function.New transport equations are deduced.The numerical results verify the effectiveness of this method.
When the finite difference time domain(FDTD) method is used to solve electromagnetic scattering problems in Schwarzschild space-time, the Green functions linking source/observer to every surface element on connection/output boundary must be calculated.When the scatterer is electrically extended, a huge amount of calculation is required due to a large number of surface elements on the connection/output boundary.In this paper, a method for reducing the calculation workload of Green function is proposed.The Taylor approximation is applied for the calculation of Green function.New transport equations are deduced.The numerical results verify the effectiveness of this method.
引文
[1]Plebanski J 1960 Phys.Rev.118 1396
[2]Loeb A 2010 Phys.Rev.D 81 047503
[3]Nakajima K, Izumi K and Asada H 2014 Phys.Rev.D 90 084026
[4]Batic D, Nelson S and Nowakowski M 2015 Phys.Rev.D 91 104015
[5]Fleury P, Pitrou C and Uzan J P 2015 Phys.Rev.D 91 043511
[6]Morris J R and Schulze-Halberg A 2015 Phys.Rev.D 92 085026
[7]Daniel J and Tajima T 1997 Phys.Rev.D 55 5193
[8]Watson M and Nishikawa K I 2010 Comput.Phys.Commun.181 1750
[9]Jia S, La D and Ma X 2018 Comput.Phys.Commun.225 166
[10]Jia S 2018 Comput.Phys.Commun.232 264
[11]Poisson E 2004 Living Rev.Relativ.7 6
[12]Friedlander F 1975 The Wave Equation on a Curved Space-Time(Cambridge:Cambridge University Press)
[13]Ottewill A C and Wardell B 2011 Phys.Rev.D 84 104039
[14]Wardell B 2012 Green Functions and Radiation Reaction from a SpaceTime Perspective(Ph.D.Thesis)(Dublin:University College Dublin)
[15]Synge J L 1960 Relativity:the General Theory(Amsterdam:NorthHolland Publishing)
[16]Stephani H 1982 General Relativity(Cambridge:Cambridge University Press)
[17]Hartle J B 2003 Gravity(San Francisco:Addison Wesley)
[2]Loeb A 2010 Phys.Rev.D 81 047503
[3]Nakajima K, Izumi K and Asada H 2014 Phys.Rev.D 90 084026
[4]Batic D, Nelson S and Nowakowski M 2015 Phys.Rev.D 91 104015
[5]Fleury P, Pitrou C and Uzan J P 2015 Phys.Rev.D 91 043511
[6]Morris J R and Schulze-Halberg A 2015 Phys.Rev.D 92 085026
[7]Daniel J and Tajima T 1997 Phys.Rev.D 55 5193
[8]Watson M and Nishikawa K I 2010 Comput.Phys.Commun.181 1750
[9]Jia S, La D and Ma X 2018 Comput.Phys.Commun.225 166
[10]Jia S 2018 Comput.Phys.Commun.232 264
[11]Poisson E 2004 Living Rev.Relativ.7 6
[12]Friedlander F 1975 The Wave Equation on a Curved Space-Time(Cambridge:Cambridge University Press)
[13]Ottewill A C and Wardell B 2011 Phys.Rev.D 84 104039
[14]Wardell B 2012 Green Functions and Radiation Reaction from a SpaceTime Perspective(Ph.D.Thesis)(Dublin:University College Dublin)
[15]Synge J L 1960 Relativity:the General Theory(Amsterdam:NorthHolland Publishing)
[16]Stephani H 1982 General Relativity(Cambridge:Cambridge University Press)
[17]Hartle J B 2003 Gravity(San Francisco:Addison Wesley)