Casimir energy between media-separated cylinders: the scalar case
arXiv:1004.1366 · doi:10.1103/PhysRevA.82.042509
Abstract
We derive exact expressions for the Casimir scalar interaction energy between media-separated eccentric dielectric cylinders and for the media-separated cylinder-plane geometry using a mode-summation approach. Similarly to the electromagnetic Casimir-Lifshitz interaction energy between fluid-separated planar plates, the force between cylinders is attractive or repulsive depending on the relative values of the permittivities of the three intervening media.
New figure and discussion about the integration contour in the complex plane
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