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Dynamics in Electrostatic Rings via High-Order Transfer Maps

Abstract

Traditionally most large storage rings for nuclear and high energy physics use magnetic particle optical elements for focusing and bending. However, recent interest in the study of the possible existence of an electric dipole moment (EDM) of protons, deuterons and others require the use of electrostatic elements in rings, and would even greatly benefit from the use of purely electrostatic lattices without any magnetic elements. Indeed the classical Thomas-BMT equation describing the motion of the spin due to a magnetic dipole moment coupling to magnetic fields can be augmented to analogously also describe the effects of a possibly present electric dipole moment coupling to electric fields, and the additional term would lead to detectable effects.

We discuss how to address and resolve various particle optical problems appearing in the simulation of such lattices. We begin with methods that allow the computation of all aberrations of individual elements to high orders, typically up to order seven or nine, including the fringe fields of the elements. We also discuss a problem arising in these rings, namely the possible non-conservation of the particle energies.

K. Makino, M. Berz, Microscopy and Microanalysis 21 Suppl. 4 (2015) 36

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