S. Kumar,
W. Quint,
S. Ringleb,
C. P. Safvan,
N. Stallkamp,
T. Stöhlker,
and M. Vogel
Properties of a cylindrical Penning trap with conical endcap openings
Phys. Scripta, 94 :075401 (July 2019)
Properties of a cylindrical Penning trap with conical endcap openings
Phys. Scripta, 94 :075401 (July 2019)
Abstract:
We describe the results of analytical calculations and numerical simulations of the confinement properties of a mechanically compensated cylindrical Penning trap which has conical endcap openings for large-solid-angle access for example with highly focused laser beams. While the analytical calculations show that under the common geometrical conditions the harmonicity of the confining fields near the centre of the trap does not change when a conical shape of the endcap electrodes is introduced, numerical simulations show significant changes when the opening angle of the cone exceeds a certain critical angle. We also show that these sharp features are due to the fringe-field effects above the critical angle, which are not described by the analytical calculations. These effects are also observed in a cylindrical Penning trap when the length of the endcap electrodes is reduced below a certain critical value.