Abstract
Trajectories and stability diagrams have been computed for oscillatory motions of charged particles in a two-dimensional octopole electric field. In such a field, particles can execute non-linear periodic and non-periodic oscillations. Each initial condition represents a unique trajectory associated with a stability diagram. Therefore a whole series of stability diagrams were computed. Trajectories remain stable for a wide range of the parameters a 4 and q 4 which are equivalent to a and q for the quadrupole. The properties of the octopole field are similar to those of the hexapole field. Owing to the large region of stability in the ( a 4, q 4) plane, octopole fields should be suitable for confining and transporting low-energy ion beams. However, since the stable region is dependent on the initial conditions, the resolution is probably too low for mass analysis.
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