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

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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.

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Authors and Affiliations

  1. Department of Physics, Shahid Beheshti University, G.C., Evin, 19839, Tehran, Iran

    Hadiseh Safdari & Gholamreza Jafari

  2. Department of Physics and Astronomy, VU University, De Boelelaan 1081, 1081 HV, Amsterdam, The Netherlands

    Mahsa Vahabi

Authors
  1. Hadiseh Safdari
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  2. Mahsa Vahabi
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  3. Gholamreza Jafari
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Correspondence to Gholamreza Jafari.

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Safdari, H., Vahabi, M. & Jafari, G. The phenomenon of simplified scattering from rough surfaces to reflection in fractional space. Eur. Phys. J. B 88, 311 (2015). https://doi.org/10.1140/epjb/e2015-60286-y

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  • DOI: https://doi.org/10.1140/epjb/e2015-60286-y

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