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The phenomenon of simplified scattering from rough surfaces to reflection in fractional space

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  • Hadiseh Safdari
  • Mahsa Vahabi
  • Gholamreza Jafari

Abstract

In this paper, the scattering of incident plane waves from rough surfaces has been modeled in a fractional space. It is shown how wave scattering from a rough surface could correspond to a simple reflection problem in a fractional space. In an integer dimensional space, fluctuations of the surface result in wave scattering, while in the fractional space, these fluctuations are compensated by the geometry of space. In the fractional space, reflection is equivalent to scattering from the integer dimensional space. Comparing scattered wave functions from different self-affine rough surfaces in the framework of the Kirchhoff theory with the results from the fractional space, we see good agreement between them. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Hadiseh Safdari & Mahsa Vahabi & Gholamreza Jafari, 2015. "The phenomenon of simplified scattering from rough surfaces to reflection in fractional space," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(11), pages 1-6, November.
    • Handle: RePEc:spr:eurphb:v:88:y:2015:i:11:p:1-6:10.1140/epjb/e2015-60286-y
    DOI: 10.1140/epjb/e2015-60286-y
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    Statistical and Nonlinear Physics;

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