Electrostatics of Gapped and Finite Surface Electrodes

Details Electrostatics of Gapped and Finite Surface Electrodes Electrostatics of Gapped and Finite Surface Electrodes

2009-10-23

arxiv.org/abs/0910.4517v2

New Journal of Physics 12 (2010) 023038 (16pp)

Physics

Quantum Physics

9 pages, 9 figures (minor changes)

Scientific paper

10.1088/1367-2630/12/2/023038

We present approximate methods for calculating the three-dimensional electric potentials of finite surface electrodes including gaps between electrodes, and estimate the effects of finite electrode thickness and an underlying dielectric substrate. As an example we optimize a radio-frequency surface-electrode ring ion trap, and find that each of these factors reduces the trapping secular frequencies by less than 5% in realistic situations. This small magnitude validates the usual assumption of neglecting the influences of gaps between electrodes and finite electrode extent.

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