Reducing the calculation workload of the Green function for electromagnetic scattering in a Schwarzschild gravitational field

doi:10.1088/1674-1056/28/7/070401

中国物理B ›› 2019, Vol. 28 ›› Issue (7): 70401-070401.doi: 10.1088/1674-1056/28/7/070401

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Reducing the calculation workload of the Green function for electromagnetic scattering in a Schwarzschild gravitational field

Shou-Qing Jia(贾守卿)

School of Computer Science and Engineering, Northeastern University, Shenyang 110819, China

收稿日期:2019-02-15 修回日期:2019-04-25 出版日期:2019-07-05 发布日期:2019-07-05
通讯作者: Shou-Qing Jia E-mail:jiashouqing@neuq.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61601105).

Reducing the calculation workload of the Green function for electromagnetic scattering in a Schwarzschild gravitational field

Shou-Qing Jia(贾守卿)

School of Computer Science and Engineering, Northeastern University, Shenyang 110819, China

Received:2019-02-15 Revised:2019-04-25 Online:2019-07-05 Published:2019-07-05
Contact: Shou-Qing Jia E-mail:jiashouqing@neuq.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61601105).

摘要/Abstract

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.

关键词: Green function, Schwarzschild space-time, electromagnetic scattering, finite difference time domain

Abstract:

Key words: Green function, Schwarzschild space-time, electromagnetic scattering, finite difference time domain

中图分类号: (Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields)

04.40.Nr

41.20.Jb (Electromagnetic wave propagation; radiowave propagation) 02.60.Cb (Numerical simulation; solution of equations) 02.70.Bf (Finite-difference methods)

贾守卿. Reducing the calculation workload of the Green function for electromagnetic scattering in a Schwarzschild gravitational field[J]. 中国物理B, 2019, 28(7): 70401-070401.

Shou-Qing Jia(贾守卿). Reducing the calculation workload of the Green function for electromagnetic scattering in a Schwarzschild gravitational field[J]. Chin. Phys. B, 2019, 28(7): 70401-070401.

参考文献 17

[1]	Plebanski J 1960 Phys. Rev. 118 1396 doi: 10.1103/PhysRev.118.1396
[2]	Loeb A 2010 Phys. Rev. D 81 047503 doi: 10.1103/PhysRevD.81.047503
[3]	Nakajima K, Izumi K and Asada H 2014 Phys. Rev. D 90 084026 doi: 10.1103/PhysRevD.90.084026
[4]	Batic D, Nelson S and Nowakowski M 2015 Phys. Rev. D 91 104015 doi: 10.1103/PhysRevD.91.104015
[5]	Fleury P, Pitrou C and Uzan J P 2015 Phys. Rev. D 91 043511 doi: 10.1103/PhysRevD.91.043511
[6]	Morris J R and Schulze-Halberg A 2015 Phys. Rev. D 92 085026 doi: 10.1103/PhysRevD.92.085026
[7]	Daniel J and Tajima T 1997 Phys. Rev. D 55 5193 doi: 10.1103/PhysRevD.55.5193
[8]	Watson M and Nishikawa K I 2010 Comput. Phys. Commun. 181 1750 doi: 10.1016/j.cpc.2010.06.034
[9]	Jia S, La D and Ma X 2018 Comput. Phys. Commun. 225 166 doi: 10.1016/j.cpc.2017.12.009
[10]	Jia S 2018 Comput. Phys. Commun. 232 264 doi: 10.1016/j.cpc.2018.06.005
[11]	Poisson E 2004 Living Rev. Relativ. 7 6 doi: 10.12942/lrr-2004-6
[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 doi: 10.1103/PhysRevD.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)

Reducing the calculation workload of the Green function for electromagnetic scattering in a Schwarzschild gravitational field

Reducing the calculation workload of the Green function for electromagnetic scattering in a Schwarzschild gravitational field

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