https://doi.org/10.1140/epjb/e2015-60286-y
Regular Article
The phenomenon of simplified scattering from rough surfaces to reflection in fractional space
1
Department of Physics, Shahid Beheshti University,
G.C., Evin, 19839
Tehran,
Iran
2
Department of Physics and Astronomy, VU University,
De Boelelaan 1081, 1081 HV
Amsterdam, The
Netherlands
a
e-mail: gjafari@gmail.com
Received: 12 April 2015
Received in final form: 24 June 2015
Published online: 26 November 2015
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2015
