Analytic model for electrostatic fields in surface-electrode ion traps
Analytic model for electrostatic fields in surface-electrode ion traps
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DOI：
10.1103/physreva.78.033402
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发表时间：
2008-09
影响因子：
2.9
通讯作者：
M. House
中科院分区：
文献类型：
--
作者：
M. House
对表面电极离子阱的设计进行了解析研究。单离子在这种阱中的经典运动由耦合的Mathieu方程描述。本文给出了三维拉普拉斯方程在Dirichlet边界条件下的解析边值解。这个解决方案是用来模拟静电势场所产生的一系列电极躺在一个单一的平面。该模型适用于设计表面电极离子阱的问题，包括计算重要的陷阱设计参数，如被困离子的中心位置，陷阱深度，和稳定性参数。该模型用于确定在各种情况下的陷阱电极的优化尺寸。
The design of surface-electrode ion traps is studied analytically. The classical motion of a single ion in such a trap is described by coupled Mathieu equations. An analytic boundary-value solution for the Laplace equation in three dimensions with a piecewise-constant Dirichlet boundary condition is described. This solution is used to model the electrostatic potential field generated by a series of electrodes lying in a single plane. The model is applied to the problem of designing surface-electrode ion traps, including calculating important trap design parameters such as the center position of the trapped ion, trap depth, and stability parameters. The model is used to determine optimized dimensions for trap electrodes in various cases.