Field Inside a Random Distribution of Parallel Dipoles

Janus H. Wesenberg and Klaus Mølmer
Phys. Rev. Lett. 93, 143903 – Published 27 September 2004

Abstract

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.

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  • Received 4 May 2004

DOI:https://doi.org/10.1103/PhysRevLett.93.143903

©2004 American Physical Society

Authors & Affiliations

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

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Issue

Vol. 93, Iss. 14 — 1 October 2004

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