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

Research output: Contribution to journalArticleAcademicpeer-review

33 Downloads (Pure)

Abstract

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.

Original languageEnglish
Article number8544029
Pages (from-to)296-299
Number of pages4
JournalIEEE Transactions on Plasma Science
Volume47
Issue number1
Early online date28 Nov 2018
DOIs
Publication statusPublished - 1 Jan 2019

Fingerprint

magnetostatic fields
charged particles
trajectories
particle motion
deflection
hyperbolic functions
trigonometric functions
conservation
kinetics

Keywords

  • Closed-form solutions
  • magnetic fields
  • particle beams
  • particle tracking
  • system verification.

Cite this

@article{98668b6919d24ab2a41930ed763a116a,
title = "Closed-form solutions for the trajectories of charged particles in an exponentially varying magnetostatic field",
abstract = "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.",
keywords = "Closed-form solutions, magnetic fields, particle beams, particle tracking, system verification.",
author = "{van Vugt}, D.C. and L.P.J. Kamp and G.T.A. Huijsmans",
year = "2019",
month = "1",
day = "1",
doi = "10.1109/TPS.2018.2878459",
language = "English",
volume = "47",
pages = "296--299",
journal = "IEEE Transactions on Plasma Science",
issn = "0093-3813",
publisher = "Institute of Electrical and Electronics Engineers",
number = "1",

}

TY - JOUR

T1 - Closed-form solutions for the trajectories of charged particles in an exponentially varying magnetostatic field

AU - van Vugt, D.C.

AU - Kamp, L.P.J.

AU - Huijsmans, G.T.A.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - Closed-form solutions

KW - magnetic fields

KW - particle beams

KW - particle tracking

KW - system verification.

UR - http://www.scopus.com/inward/record.url?scp=85057423518&partnerID=8YFLogxK

U2 - 10.1109/TPS.2018.2878459

DO - 10.1109/TPS.2018.2878459

M3 - Article

AN - SCOPUS:85057423518

VL - 47

SP - 296

EP - 299

JO - IEEE Transactions on Plasma Science

JF - IEEE Transactions on Plasma Science

SN - 0093-3813

IS - 1

M1 - 8544029

ER -