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Casimir force between designed materials: what is possible and what not

arXiv:quant-ph/0407153 · doi:10.1209/epl/i2005-10344-3

Abstract

We establish strict upper limits for the Casimir interaction between multilayered structures of arbitrary dielectric or diamagnetic materials. We discuss the appearance of different power laws due to frequency-dependent material constants. Simple analytical expressions are in good agreement with numerical calculations based on Lifshitz theory. We discuss the improvements required for current (meta) materials to achieve a repulsive Casimir force.

9 pages, 4 figures, graphicx, v4: Europhysics Letters, in press