dorsal/arxiv
View SchemaThree-dimensional Casimir force between absorbing multilayer dielectrics
| Authors | Christian Raabe, Ludwig Knöll, Dirk-Gunnar Welsch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212154 |
| URL | https://arxiv.org/abs/quant-ph/0212154 |
| DOI | 10.1103/PhysRevA.68.033810 |
Abstract
Recently the influence of dielectric and geometrical properties on the Casimir force between dispersing and absorbing multilayered plates in the zero-temperature limit has been studied within a 1D quantization scheme for the electromagnetic field in the presence of causal media [R. Esquivel-Sirvent, C. Villarreal, and G.H. Cocoletzi, Phys. Rev. Lett. 64, 052108 (2001)]. In the present paper a rigorous 3D analysis is given, which shows that for complex heterostructures the 1D theory only roughly reflects the dependence of the Casimir force on the plate separation in general. Further, an extension of the very recently derived formula for the Casimir force at zero temperature [M.S. Toma\v{s}, Phys. Rev. A 66, 052103 (2002)] to finite temperatures is given, and analytical expressions for specific distance laws in the zero-temperature limit are derived. In particular, it is shown that the Casimir force between two single-slab plates behaves asymptotically like $d^{-6}$ in place of $d^{-4}$ ($d$, plate separation).
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"abstract": "Recently the influence of dielectric and geometrical properties on the\nCasimir force between dispersing and absorbing multilayered plates in the\nzero-temperature limit has been studied within a 1D quantization scheme for the\nelectromagnetic field in the presence of causal media [R. Esquivel-Sirvent, C.\nVillarreal, and G.H. Cocoletzi, Phys. Rev. Lett. 64, 052108 (2001)]. In the\npresent paper a rigorous 3D analysis is given, which shows that for complex\nheterostructures the 1D theory only roughly reflects the dependence of the\nCasimir force on the plate separation in general. Further, an extension of the\nvery recently derived formula for the Casimir force at zero temperature [M.S.\nToma\\v{s}, Phys. Rev. A 66, 052103 (2002)] to finite temperatures is given, and\nanalytical expressions for specific distance laws in the zero-temperature limit\nare derived. In particular, it is shown that the Casimir force between two\nsingle-slab plates behaves asymptotically like $d^{-6}$ in place of $d^{-4}$\n($d$, plate separation).",
"arxiv_id": "quant-ph/0212154",
"authors": [
"Christian Raabe",
"Ludwig Kn\u00f6ll",
"Dirk-Gunnar Welsch"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.033810",
"title": "Three-dimensional Casimir force between absorbing multilayer dielectrics",
"url": "https://arxiv.org/abs/quant-ph/0212154"
},
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