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Advances in High Energy Physics
Volume 2014, Article ID 764182, 11 pages
Research Article

Rough Mirror as a Quantum State Selector: Analysis and Design

1Department of Physics, University of Rhode Island, Kingston, RI 02881-0817, USA
2ICFP, Physics Department, École Normale Supérieure, 24 rue Lhomond, 75005 Paris, France
3Institute Max von Laue—Paul Langevin, 38042 Grenoble, France

Received 14 May 2014; Accepted 23 June 2014; Published 4 August 2014

Academic Editor: Stefan Baessler

Copyright © 2014 M. Escobar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


We report analysis of rough mirrors used as the gravitational state selectors in neutron beam and similar experiments. The key to mirror properties is its roughness correlation function (CF) which is extracted from the precision optical scanning measurements of the surface profile. To identify CF in the presence of fluctuation-driven fat tails, we perform numerical experiments with computer-generated random surfaces with the known CF. These numerical experiments provide a reliable identification procedure which we apply to the actual rough mirror. The extracted CF allows us to make predictions for ongoing GRANIT experiments. We also propose a radically new design for rough mirrors based on Monte Carlo simulations for the 1D Ising model. The implementation of this design provides a controlled environment with predictable scattering properties.