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New Results on Absorbing Layers and Radiation Boundary Conditions

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Topics in Computational Wave Propagation

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 31))

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Abstract

Perhaps the defining feature of waves is the fact that they propagate long distances relative to their characteristic dimension, the wavelength. This allows us to use them to probe the world around us — optically, acoustically, and now at a wide range of wavelengths in a variety of media. For numerical simulations, it is precisely this essential characteristic — the radiation of waves to the far field — that leads to the greatest difficulties. One may view this fundamental difficulty as rooted in the existence of (at least) two widely separated spatial scales. The first are the small scales associated with the wavelengths and the scatterer, and the second is the long distance between the scatterer and the observers.

Supported in part by NSF Grant DMS-9971772 and NASA Contract NAG3-2692. Any opinions, findings, and conclusions or recommendations expressed in this paper are those of the author and do not necessarily reflect the views of NSF or NASA.

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  1. Department of Mathematics and Statistics, The University of New Mexico, Albuquerque, NM, 87131, USA

    Thomas Hagstrom

  2. Institute for Computational Mechanics in Propulsion, Ohio Aerospace Institute and NASA Glenn Research Centre, Cleveland, OH, 44142, USA

    Thomas Hagstrom

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  1. Department of Mathematics, University of Strathclyde, Richmond Street 26, Glasgow, G1 1XH, UK

    Mark Ainsworth  & Penny Davies  & 

  2. Department of Mathematics, Heriot-Watt University, Riccarton Campus, EH14 4AS, Edinburgh, UK

    Dugald Duncan  & Bryan Rynne  & 

  3. Department of Mathematics and Computer Sciences, Colorado School of Mines, 80401-1887, Golden, USA

    Paul Martin

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Hagstrom, T. (2003). New Results on Absorbing Layers and Radiation Boundary Conditions. In: Ainsworth, M., Davies, P., Duncan, D., Rynne, B., Martin, P. (eds) Topics in Computational Wave Propagation. Lecture Notes in Computational Science and Engineering, vol 31. Springer, Berlin, Heidelberg. http://doi.org/10.1007/978-3-642-55483-4_1

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