Browse > Article
http://dx.doi.org/10.7734/COSEIK.2015.28.2.123

A Finite Element Based PML Method for Time-domain Electromagnetic Wave Propagation Analysis  

Yi, Sang-Ri (Department of Civil Engineering, Hongik University)
Kim, Boyoung (Department of Civil Engineering, Hongik University)
Kang, Jun Won (Department of Civil Engineering, Hongik University)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.28, no.2, 2015 , pp. 123-130 More about this Journal
Abstract
This paper presents a new formulation for transient simulations of microwave propagation in heterogeneous unbounded domains. In particular, perfectly-matched-layers(PMLs) are introduced to allow for wave absorption at artificial boundaries used to truncate the infinite extent of the physical domains. The development of the electromagnetic PML targets the application to engineering mechanics problems such as structural health monitoring and inverse medium problems. To formulate the PML for plane electromagnetic waves, a complex coordinate transformation is introduced to Maxwell's equations in the frequency-domain. Then the PML-endowed partial differential equations(PDEs) for transient electromagnetic waves are recovered by the application of the inverse Fourier transform to the frequency-domain equations. A mixed finite element method is employed to solve the time-domain PDEs for electric and magnetic fields in the PML-truncated domain. Numerical results are presented for plane microwaves propagating through concrete structures, and the accuracy of solutions is investigated by a series of error analyses.
Keywords
Perfectly-Matched-Layers(PMLs); mixed finite element method; concrete structure; microwaves; Maxwell's equations;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Kang, J.W. (2013) Time Domain Elastic Full-waveform Inversion using One-dimensional Mesh Continuation Scheme, J. Comput. Struct. Eng. Inst. Korea, 26(4), pp.213-221.   DOI
2 Kang, J.W., Kallivokas, L.F. (2010) Mixed Unsplit- Field Perfectly Matched Layers for Transient Simulations of Scalar Waves in Heterogeneous Domains, Comput. Geosci.,, 14(4), pp.623-648.   DOI
3 Lee, J.F., Lee, R., Cangellaris, A. (1997) Time- Domain Finite-Element Methods, IEEE Trans. Antennas & Propag., 45(3), pp.430-442.   DOI
4 Pla-Rucki, G.F., Eberhard, M.O. (1995) Imaging of Reinforced Concrete: State-of-the-Art Review, J. Infrastruct. Syst., 1, pp.134-141.   DOI
5 Bloemenkamp, R.F., van den Berg, P.M. (2000) Time- Domain Profile Inversion using Contrast Sources, Inverse Problems, 16, pp.1173-1193.   DOI
6 Haber, E., Oldenburg, D.W., Shektman, R. (2007) Inversion of Time-Domain Three-dimensional Electromagnetic Data, Geophys. J. Int., 171, pp.550-564.   DOI