Closed-form solutions for the trajectories of charged particles in an exponentially varying magnetostatic field

D.C. van Vugt (Corresponding author), L.P.J. Kamp, G.T.A. Huijsmans

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We present a new reference solution for charged particle motion in a strongly inhomogeneous magnetostatic field. The solution describes both bound and unbound particle motion, which can be split into three regimes, the deflection, loop-deflection, and drift regime. We calculate the trajectory in terms of trigonometric and hyperbolic functions, resulting in simple analytical expressions for the particle position and ∇ B-drift velocity. This reference solution is useful to verify and compare the performance of kinetic and guiding-center charged particle pushers in inhomogeneous fields by verifying the conservation of two constants of motion, as well as the exact trajectory at any time.

Originele taal-2Engels
Pagina's (van-tot)296-299
Aantal pagina's4
TijdschriftIEEE Transactions on Plasma Science
Nummer van het tijdschrift1
Vroegere onlinedatum28 nov 2018
StatusGepubliceerd - 1 jan 2019


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