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General boundary conditions for the wave equation around non-homogenous scatterers

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Abstract

To solve the wave equation inside a region that contains an inhomogenous dielectric material of arbitrary shape under the influence of an incoming wave, we establish a generalized boundary condition. The solutions inside a finite region resulting form a given incoming wave from the outside, are determined by a linear relation between the normal gradient and the function values on the boundary. This boundary condition is non-local and we show how it can be used in conjunction with the variational principle applied to an open system.

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Author notes

  1. Stanley M. Neuder

    Present address: the Nuclear Regulatory Commission, 20555, Washington, D.C.

Authors and Affiliations

  1. Physics Department, The Catholic University of America, 20064, Washington, D.C., USA

    Paul H. E. Meijer & Gregory A. H. Cowart

  2. Bureau of Radiological Health, F.D.A., 20857, Rockville, MD, USA

    Stanley M. Neuder

Authors
  1. Paul H. E. Meijer
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  2. Gregory A. H. Cowart
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  3. Stanley M. Neuder
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Meijer, P.H.E., Cowart, G.A.H. & Neuder, S.M. General boundary conditions for the wave equation around non-homogenous scatterers. Appl. Sci. Res. 40, 97–110 (1983). https://doi.org/10.1007/BF00386213

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  • DOI: https://doi.org/10.1007/BF00386213

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