Issue |
Europhys. Lett.
Volume 62, Number 4, May 2003
|
|
---|---|---|
Page(s) | 466 - 472 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2003-00376-7 | |
Published online | 01 May 2003 |
Casimir forces: An exact approach for periodically deformed objects
Institut für Theoretische Physik, Universität zu
Köln - 50923 Köln, Germany, and
Physics Department, Massachusetts Institute of Technology
Cambridge, MA 02139, USA
Received:
7
November
2002
Accepted:
14
March
2003
A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond Casimir's original two-plate configuration. The approach takes into account the collective nature of fluctuation-induced forces, going beyond the commonly used proximity force theorem (PFT) which is a valid approximation for objects with a radius of surface curvature much larger than their distance. As an application of the method, we exactly calculate the Casimir force due to scalar field fluctuations between a flat and a rectangular corrugated plate. Maximal distinction from the PFT towards a much stronger force is found for small corrugation lengths.
PACS: 03.70.+k – Theory of quantized fields / 12.20.-m – Quantum electrodynamics / 42.50.Ct – Quantum description of interaction of light and matter; related experiments
© EDP Sciences, 2003
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