Series solution for the image charge fields in arbitrary cylindrically symmetric Penning traps - art. no. 023403

This paper presents a series solution to the image charge fields of a singl e ion in a Penning trap. The calculation of these fields and resulting freq uency shifts will be important for advances in a variety of high precision Penning trap studies, particularly for work with highly charged ions. The s imple technique is applicable to cylindrically symmetric traps of otherwise arbitrary geometry and provides an efficient alternative to finite grid re laxation techniques. The present calculation is in agreement with previous measurements in a hyperbolic trap, and systematic frequency shifts for rece nt atomic mass measurements using multiply charged ions are given.