TY - JOUR
T1 - The phenomenon of simplified scattering from rough surfaces to reflection in fractional space
AU - Safdari, H.
AU - Vahabi, M.
AU - Jafari, G.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
U2 - 10.1140/epjb/e2015-60286-y
DO - 10.1140/epjb/e2015-60286-y
M3 - Article
SN - 1434-6028
VL - 88
SP - 1
EP - 6
JO - European Physical Journal B. Condensed Matter and Complex Systems
JF - European Physical Journal B. Condensed Matter and Complex Systems
IS - 311
ER -