%0 Journal Article
%J Proceedings of the National Academy of Sciences
%D 2011
%T Casimir force between sharp-shaped conductors
%A Mohammad F. Maghrebi
%A Sahand Jamal Rahi
%A Thorsten Emig
%A Noah Graham
%A Robert L. Jaffe
%A Mehran Kardar
%X 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.
%B Proceedings of the National Academy of Sciences
%V 108
%P 6867 - 6871
%8 2011/04/11
%G eng
%U http://arxiv.org/abs/1010.3223v1
%N 17
%! Proceedings of the National Academy of Sciences
%R 10.1073/pnas.1018079108
%0 Journal Article
%J EPL (Europhysics Letters)
%D 2011
%T Electromagnetic Casimir Energies of Semi-Infinite Planes
%A Mohammad F. Maghrebi
%A Noah Graham
%X Using recently developed techniques based on scattering theory, we find the electromagnetic Casimir energy for geometries involving semi-infinite planes, a case that is of particular interest in the design of microelectromechanical devices. We obtain both approximate analytic formulae and exact results requiring only modest numerical computation. Using these results, we analyze the effects of edges and orientation on the Casimir energy. We also demonstrate the accuracy, simplicity, and utility of our approximation scheme, which is based on a multiple reflection expansion.
%B EPL (Europhysics Letters)
%V 95
%P 14001
%8 2011/07/01
%G eng
%U http://arxiv.org/abs/1102.1486v1
%N 1
%! EPL
%R 10.1209/0295-5075/95/14001