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Fourier Methods Applicable in the Numerical Solution of Electromagnetic Time-Domain Scattering Problems

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Recent Advances in Fourier Analysis and Its Applications

Part of the book series: NATO ASI Series ((ASIC,volume 315))

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Abstract

In transient electromagnetic scattering problems, Fourier or Laplace transformations are employed to attain a spectral decomposition in terms of solutions of reduced problems of a lower dimensionality. The resulting inversion integrals are evaluated either by contour deformation into the complex frequency or order plane, or by the direct evaluation of one or more Fourier or Bromwich inversion integrals. The modal representations resulting from the former approach provide a detailed physical insight into the scattering process; the latter approach is more suitable for an efficient computation of the desired time-domain solution. Both approaches are illustrated for the “tutorial” scattering problem of transient scattering by a radially inhomogeneous, lossy dielectric circular cylinder embedded in a homogeneous, lossless dielectric. Numerical results are presented and discussed.

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Author information

Authors and Affiliations

  1. Laboratory of Electromagnetic Research, Department of Engineering, Delft University of Technology, P>O Box 5031, 2600 GA, Delft, The Netherlands

    Anton G. Tijhuis

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  1. Anton G. Tijhuis
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Editor information

Editors and Affiliations

  1. Prometheus Inc., Newport, RI, USA

    J. S. Byrnes

  2. University of Massachusetts at Boston, Boston, MA, USA

    J. S. Byrnes

  3. Harvard University, Cambridge, MA, USA

    Jennifer L. Byrnes

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© 1990 Kluwer Academic Publishers

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Tijhuis, A.G. (1990). Fourier Methods Applicable in the Numerical Solution of Electromagnetic Time-Domain Scattering Problems. In: Byrnes, J.S., Byrnes, J.L. (eds) Recent Advances in Fourier Analysis and Its Applications. NATO ASI Series, vol 315. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0665-5_18

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  • DOI: https://doi.org/10.1007/978-94-009-0665-5_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6784-3

  • Online ISBN: 978-94-009-0665-5

  • eBook Packages: Springer Book Archive

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