Abstract.
In this note a simple idea is suggested to calculate the effect of damping on the ion motion in a Penning trap. The analysis is restricted to the experimentally important special case that the axial motion (z-direction) is not coupled to that in the xy-plane, so that both motions can be treated separately. The method views the cyclotron frequency ωc as a complex variable that can be continued analytically from real values (undamped case) into the complex plane. The power of the approach becomes obvious in connection with advanced problems such as the calculation of line profiles for quadrupole excitation.
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References
L.S. Brown, G. Gabrielse, Rev. Mod. Phys. 58, 233 (1986)
M. Kretzschmar, Eur. J. Phys. 12, 240 (1991)
P.K. Ghosh, Ion Traps (Clarendon Press, Oxford, 1995)
F.G. Major, V.N. Gheorghe, G. Werth, Charged Particle Traps (Springer-Verlag, Berlin, Heidelberg, 2005)
E.A. Mason, E.W. McDaniel, Transport Properties of Ions in Gases (John Wiley and Sons, New York, 1988)
R.B. Moore, Buffer Gas Cooling of Ion Beams (2002) www.physics.mcgill.ca/~moore/Notes/BeamCooling.pdf; see also Abstract CERN - EP/2000-048.
M. Kretzschmar, Int. J. Mass Spectrom. 264, 122 (2007)
G. Bollen, R.B. Moore, G. Savard, H. Stolzenberg, J. Appl. Phys. 68, 4355 (1990)
K. Blaum, Phys. Rep. 425, 1 (2006)
K. Blaum, G. Bollen, F. Herfurth, A. Kellerbauer, H.-J. Kluge, M. Kuckein, S. Heinz, P. Schmidt, L. Schweikhard, J. Phys. B: At. Mol. Opt. Phys. 36, 921 (2003)
M. König, G. Bollen, H.-J. Kluge, T. Otto, J. Szerypo, Int. J. Mass Spectrom. Ion Proc. 142, 95 (1995)
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Kretzschmar, M. Calculating damping effects for the ion motion in a Penning trap. Eur. Phys. J. D 48, 313–319 (2008). https://doi.org/10.1140/epjd/e2008-00125-0
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DOI: https://doi.org/10.1140/epjd/e2008-00125-0