2007/03/31 by Robson B. Rodrigues, Paulo A. Maia Neto, Astrid Lambrecht +1 · 1 citation
Engineering · Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Thermal Radiation and Cooling Technologies #hep-th #quant-ph
paper · pdf · doi:10.1103/physreva.75.062108
published as Phys. Rev. A 75, 062108 (2007) · 10 pages, 7 figures. Accepted version with minor amendments. To appear in Physical Review A
arxiv created 2007/04/20 · openalex publication_date 2007/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The lateral Casimir force between two corrugated metallic plates makes possible a study of the nontrivial interplay of geometry and Casimir effect appearing beyond the regime of validity of the proximity-force approximation. Quantitative evaluations can be obtained by using scattering theory in a perturbative expansion valid when the corrugation amplitudes are smaller than the three other length scales: the mean separation distance L of the plates, the corrugation period \ensuremathλC, and the plasma wavelength \ensuremathλP. Within this perturbative expansion, evaluations are obtained for arbitrary relative values of L, \ensuremathλC, and \ensuremathλP while limiting cases, some of them already known, are recovered when these values obey some specific orderings. The consequence of these results for comparison with existing experiments is discussed at the end of the paper.