André Gusso, Úrsula Berion Reis
A multilayered effective medium model is proposed to calculate the
contribution of surface roughness to the Casimir force. In this model the rough
layer has its optical properties derived from an effective medium
approximation, with the rough layer considered as the mixing of voids and solid
material. The rough layer can be divided into sublayers consisting of different
volume fractions of voids and solid material as a function of the roughness
surface profile. The Casimir force is then calculated using the generalizations
of the Lifshitz theory for multilayered planar systems. Predictions of the
Casimir force based on the proposed model are compared with those of well known
methods of calculation, usually restricted to be used with large scale
roughness. It is concluded that the effect of short scale roughness as
predicted by this model is considerably larger than what could be expected from
the extrapolation of the results obtained by the other methods.
View original:
http://arxiv.org/abs/1202.3316
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