Beyond the simple proximity force approximation: Geometrical effects on the nonretarded Casimir interaction
Abstract
We study the geometrical corrections to the simple proximity force approximation (PFA) for the nonretarded Casimir force. We present analytical results for the force between objects of various shapes and substrates, and between pairs of objects. We compare the results to those from more exact numerical calculations. We treat spheres, spheroids, cylinders, cubes, cones, and wings; the analytical PFA results together with the geometrical correction factors are summarized in a table.
- Publication:
-
Physical Review A
- Pub Date:
- September 2008
- DOI:
- arXiv:
- arXiv:0807.1626
- Bibcode:
- 2008PhRvA..78c2111S
- Keywords:
-
- 12.20.Ds;
- 41.20.-q;
- 68.90.+g;
- 71.10.-w;
- Specific calculations;
- Applied classical electromagnetism;
- Other topics in structure and nonelectronic properties of surfaces and interfaces;
- thin films and low-dimensional structures;
- Theories and models of many-electron systems;
- Quantum Physics
- E-Print:
- 18 pages, 19 figures, 1 table