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Phys. Rev. Lett. 93, 143903 (2004) [4 pages]

Field Inside a Random Distribution of Parallel Dipoles

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Janus H. Wesenberg and Klaus Mølmer
QUANTOP, Danish Research Foundation Center for Quantum Optics, Department of Physics and Astronomy, University of Aarhus, DK-8000 Århus C, Denmark

Received 4 May 2004; published 27 September 2004

We determine the probability distribution for the field inside a random distribution of electric or magnetic dipoles. Although the average contribution from any spherical shell around the probe position vanishes, at the center of a spherical distribution of parallel dipoles, the Levy stable distribution of the field is symmetric around a nonvanishing field amplitude. Omission of contributions from a small volume around the probe leads to a field distribution with a vanishing mean, which, in the limit of vanishing excluded volume, converges to the shifted distribution.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.143903
DOI:
10.1103/PhysRevLett.93.143903
PACS:
41.20.–q, 02.50.Ng, 05.40.Fb