Efficient Computation of Casimir Interactions between Arbitrary 3D Objects
arXiv:0904.0741 · doi:10.1103/PhysRevLett.103.040401
Abstract
We introduce an efficient technique for computing Casimir energies and forces between objects of arbitrarily complex 3D geometries. In contrast to other recently developed methods, our technique easily handles non-spheroidal, non-axisymmetric objects and objects with sharp corners. Using our new technique, we obtain the first predictions of Casimir interactions in a number of experimentally relevant geometries, including crossed cylinders and tetrahedral nanoparticles.
4 pages, 4 figures
References in corpus (6)
- Casimir forces between arbitrary compact objects
- Measurement of the Casimir force between a gold sphere and silicon surface with nanoscale trench arrays
- Casimir interaction of dielectric gratings
- Casimir edge effects
- Virtual photons in imaginary time: Computing exact Casimir forces via standard numerical-electromagnetism techniques
- Stable suspension and dispersion-induced transitions from repulsive Casimir forces between fluid-separated eccentric cylinders
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