Effective Solution of Time-Domain Magnetic Field Integral Equation for Transient Electromagnetic Scattering by Conductors

WAN Guochun; ZHANG Yunjin; Jie Zhang; Mei Song Tong

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Effective Solution of Time-Domain Magnetic Field Integral Equation for Transient Electromagnetic Scattering by Conductors

WAN Guochun, ZHANG Yunjin,Jie Zhang,Mei Song Tong

College of Electronics and Information Engineering, Tongji University, Shanghai 201804

*Correspondence author

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Funding: The Specialized Research Fund for the Doctoral Program of Higher Education of China （No.Project No. 20120072110044）

Opened online:23 December 2015

Accepted by: none

Citation: WAN Guochun, ZHANG Yunjin,Jie Zhang.Effective Solution of Time-Domain Magnetic Field Integral Equation for Transient Electromagnetic Scattering by Conductors[OL]. [23 December 2015] http://en.paper.edu.cn/en_releasepaper/content/4671791

Transient electromagnetic (EM) scattering by conductors is formulated by time-domain magnetic field integral equation (TDMFIE). The TDMFIE is important because the time-domain combined field integral equation involves it and also it appears in the time-domain integral equations of penetrable media as an operator. The TDMFIE is usually solved by combining the method of moments (MoM) in spatial domain and a march-on in time (MOT) scheme in temporal domain. This paper proposes a different approach in which a Nystr"{o}m scheme is used in spatial domain while a Galerkin method (GM) with Laguerre basis and testing functions is employed in temporal domain. The approach includes the merits of Nystr"{o}m scheme in spatial domain and also fully eliminates the late-time instability of the MOT. Moreover, the Laguerre basis function can naturally enforce the causality of signals and the GM can simplify the time-domain implementation. Numerical examples for transient EM scattering by typically-shaped conductors are presented to illustrate the approach and its robustness has been demonstrated.

Keywords:Transient electromagnetic scattering, time-domain magnetic field integral equation, Nystr"{o}m scheme, conductor.

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