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arXiv · 0910.4517

Electrostatics of Gapped and Finite Surface Electrodes

Roman Schmied
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Abstract

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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Roman Schmied. 2010-01-30. Electrostatics of Gapped and Finite Surface Electrodes. https://doi.org/10.1088/1367-2630%2F12%2F2%2F023038

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