Scattering of electromagnetic waves by a plane of spheres-formalism

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Abstract

A method is presented to calculate the scattering of light by a plane of metallic spheres embedded in a dielectric host material. The formalism is an extension of the methods which have been developed in relation to electron scattering by two-dimensional atomic layers. The quantities which describe the multiple scattering within the plane can be evaluated by using, to a considerable extent, existing computer programs.

References (17)

  • M. Born et al.
  • A.J. Sievers
  • W. Lamb et al.

    Phys. Rev. B

    (1980)
  • A. Liebsch et al.

    J. Phys. C: Solid State Phys.

    (1983)
  • B.N.J. Persson et al.

    Phys. Rev. B

    (1983)
  • G.S. Agarwal et al.

    Phys. Rev. B

    (1984)
  • A. Liebsch et al.

    Phys. Rev. B

    (1984)
  • M. Gomez et al.

    Phys. Rev. B

    (1985)
There are more references available in the full text version of this article.

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