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Wave propagation in a disordered array of monopole scatterers

Author

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  • Mattern, K.
  • Felderhof, B.U.

Abstract

We study scalar wave propagation in a disordered static array of spherical scatterers. Due to a hard core repulsion the scatterers do not overlap. The wave is scattered by a δ-function potential at the center of each of the spheres. To this monopole model we apply the previously developed cluster expansion for the self-energy. We find the root of the dispersion equation for the coherent wave for a range of volume fraction5. It turns out that the monopole model develops an instability when the scattering is too strong.

Suggested Citation

  • Mattern, K. & Felderhof, B.U., 1985. "Wave propagation in a disordered array of monopole scatterers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(3), pages 562-576.
    • Handle: RePEc:eee:phsmap:v:129:y:1985:i:3:p:562-576
    DOI: 10.1016/0378-4371(85)90186-4
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