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Vector fitting realisation of exact time domain modal nonreflecting boundary condition

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Bavelis, Konstantinos and Mias, Christos. (2010) Vector fitting realisation of exact time domain modal nonreflecting boundary condition. Electronics Letters, Vol.46 (No.11). pp. 760-761. ISSN 0013-5194

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Official URL: http://dx.doi.org/10.1049/el.2010.1119

Abstract

To employ the modal nonreflecting boundary condition (MNRBC) in cylindrical coordinates in the finite element time domain (FETD) method, a time domain kernel expression must be found that it is the inverse Laplace transform (ILT) of a known frequency domain function. The inverse Laplace transformation is achieved using a methodology based on the partial fraction expansion of the frequency domain function. However, to date, no FETD results have been published based on this MNRBC methodology. A simpler implementation of the methodology based on vector fitting (VF) is proposed. Using the VF approach, FETD-MNRBC results of plane wave scattering from a cylinder are presented for the first time.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Faculty of Science > Engineering
Library of Congress Subject Headings (LCSH): Finite element method, Boundary value problems
Journal or Publication Title: Electronics Letters
Publisher: The Institution of Engineering and Technology
ISSN: 0013-5194
Date: 27 May 2010
Volume: Vol.46
Number: No.11
Number of Pages: 2
Page Range: pp. 760-761
Identification Number: 10.1049/el.2010.1119
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
References: 1 JENG, S.K., and CHEN, C.H. : ‘On Variational Electromagnetics: Theory and Application’, IEEE Transactions on Antennas and Propagation, 1984, 32, (9), pp. 902-907 2 PETERSON, A.F., and CASTILLO, S.P. : ‘A Frequency-Domain Differential Equation Formulation for Electromagnetic Scattering from Inhomogeneous Cylinders’ , IEEE Transactions on Antennas and Propagation, 1989, 37, (5), pp. 601-607 3 ALPERT, B., GREENGARD, L., and HAGSTROM, T. : ‘Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation’, SIAM Journal on Numerical Analysis, 2000, 37, (4), pp. 1138–1164 4 GUSTAVSEN, B., SEMLYEN, A., : ‘Rational Approximation of Frequency Domain Responses by Vector Fitting’, IEEE Transactions on Power Delivery, 1999, 14, (3), pp. 1052-1061 5 ABRAMOWITZ, M., and STEGUN, I.A. : ‘Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables’ (Dover Publications, New York, 1965) 6 CAI, Y., and MIAS, C. : ‘Fast Finite Element Time Domain – Floquet Absorbing Boundary Condition modelling of periodic structures using recursive convolution’, IEEE Transactions on Antennas and Propagation, 2007, 55, (9), pp. 2550-2558 7 BALANIS, C.A. : ‘Advanced Engineering Electromagnetics’ (Wiley, New York, 1989)
URI: http://wrap.warwick.ac.uk/id/eprint/40481

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