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Optical potential of a disordered array of scatterers

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  • Felderhof, B.U.
  • Mattern, K.

Abstract

We study the propagation of scalar waves in a disordered array of static scatters. We derive a cluster expansion for the optical potential in analogy to that for the dielectric constant of a polarizable suspension. It is shown that the long range of the free space Green function leads to divergence of the cluster integrals at low energy. The divergences are removed by a resummation procedure analogous to the resummation of Mayer cluster integrals in the theory of electrolytes. We derive expressions for the most important contributions to the optical potential.

Suggested Citation

  • Felderhof, B.U. & Mattern, K., 1984. "Optical potential of a disordered array of scatterers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(3), pages 404-426.
    • Handle: RePEc:eee:phsmap:v:128:y:1984:i:3:p:404-426
    DOI: 10.1016/0378-4371(84)90183-3
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    References listed on IDEAS

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    1. Hills, B.P. & Deutch, J.M., 1976. "Renormalization of the rotational diffusion coefficient in a fluctuating fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 83(2), pages 401-410.
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