Volume 62, Number 4, May 2003
|Page(s)||466 - 472|
|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
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.