Electrostatics of Gapped and Finite Surface Electrodes

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Schmied, Roman
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Abstract
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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.
Comment: 9 pages, 9 figures (minor changes)
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Quantum Physics
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