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Series Solution for the Image Charge Fields in Arbitrary Cylindrically Symmetric Penning Traps

Published

Author(s)

James V. Porto

Abstract

I present a series solution to the image charge fields of a single ion in a Penning trap. The calculation of these fields and resulting frequency shifts will be important for advances in a variety of high precision Penning trap studies, particularly for work with highly charged ions. The simple technique is applicable to cylindrically symmetric traps of otherwise arbitrary geometry and provides an efficient alternative to finite grid relaxation techniques. The present calculation is in agreement with previous measurements in a hyperbolic trap, and systematic frequency shifts for recent atomic mass measurements using multiply charged ions are given.
Citation
Physical Review A (Atomic, Molecular and Optical Physics)
Volume
64
Issue
No. 2

Keywords

Penning Trap

Citation

Porto, J. (2001), Series Solution for the Image Charge Fields in Arbitrary Cylindrically Symmetric Penning Traps, Physical Review A (Atomic, Molecular and Optical Physics) (Accessed July 15, 2024)

Issues

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Created August 1, 2001, Updated February 17, 2017