dorsal/arxiv
View SchemaCasimir effect with rough metallic mirrors
| Authors | Paulo A. Maia Neto, Astrid Lambrecht, Serge Reynaud |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505086 |
| URL | https://arxiv.org/abs/quant-ph/0505086 |
| DOI | 10.1103/PhysRevA.72.012115 |
| Journal | Physical Review A 72, 012115 (2005) |
Abstract
We calculate the second order roughness correction to the Casimir energy for two parallel metallic mirrors. Our results may also be applied to the plane-sphere geometry used in most experiments. The metallic mirrors are described by the plasma model, with arbitrary values for the plasma wavelength, the mirror separation and the roughness correlation length, with the roughness amplitude remaining the smallest length scale for perturbation theory to hold. From the analysis of the intracavity field fluctuations, we obtain the Casimir energy correction in terms of generalized reflection operators, which account for diffraction and polarization coupling in the scattering by the rough surfaces. We present simple analytical expressions for several limiting cases, as well as numerical results that allow for a reliable calculation of the roughness correction in real experiments. The correction is larger than the result of the Proximity Force Approximation, which is obtained from our theory as a limiting case (very smooth surfaces).
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"abstract": "We calculate the second order roughness correction to the Casimir energy for\ntwo parallel metallic mirrors. Our results may also be applied to the\nplane-sphere geometry used in most experiments. The metallic mirrors are\ndescribed by the plasma model, with arbitrary values for the plasma wavelength,\nthe mirror separation and the roughness correlation length, with the roughness\namplitude remaining the smallest length scale for perturbation theory to hold.\n From the analysis of the intracavity field fluctuations, we obtain the\nCasimir energy correction in terms of generalized reflection operators, which\naccount for diffraction and polarization coupling in the scattering by the\nrough surfaces. We present simple analytical expressions for several limiting\ncases, as well as numerical results that allow for a reliable calculation of\nthe roughness correction in real experiments. The correction is larger than the\nresult of the Proximity Force Approximation, which is obtained from our theory\nas a limiting case (very smooth surfaces).",
"arxiv_id": "quant-ph/0505086",
"authors": [
"Paulo A. Maia Neto",
"Astrid Lambrecht",
"Serge Reynaud"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.012115",
"journal_ref": "Physical Review A 72, 012115 (2005)",
"title": "Casimir effect with rough metallic mirrors",
"url": "https://arxiv.org/abs/quant-ph/0505086"
},
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