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Casimir force between sharp-shaped conductors | | Mohammad F. Maghrebi
; Sahand Jamal Rahi
; Thorsten Emig
; Noah Graham
; Robert L. Jaffe
; Mehran Kardar
; | | Date: |
15 Oct 2010 | | Abstract: | Casimir forces between conductors at the sub-micron scale cannot be ignored
in the design and operation of micro-electromechanical (MEM) devices. However,
these forces depend non-trivially on geometry, and existing formulae and
approximations cannot deal with realistic micro-machinery components with sharp
edges and tips. Here, we employ a novel approach to electromagnetic scattering,
appropriate to perfect conductors with sharp edges and tips, specifically to
wedges and cones. The interaction of these objects with a metal plate (and
among themselves) is then computed systematically by a multiple-scattering
series. For the wedge, we obtain analytical expressions for the interaction
with a plate, as functions of opening angle and tilt, which should provide a
particularly useful tool for the design of MEMs. Our result for the Casimir
interactions between conducting cones and plates applies directly to the force
on the tip of a scanning tunneling probe; the unexpectedly large temperature
dependence of the force in these configurations should attract immediate
experimental interest. | | Source: | arXiv, 1010.3223 | | Services: | Forum | Review | PDF | Favorites | |
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