Plasma and Fusion Research

Volume 11, 1303003 (2016)


High-Accuracy Numerical Integration of Charged Particle Motion — with Application to Ponderomotive Force
Masaru FURUKAWA, Akinobu MATSUYAMA1) and Yushiro OHKAWA
Graduate School of Engineering, Tottori University, Minami 4-101, Koyama-cho, Tottori-shi, Tottori 680-8552, Japan
1)Japan Atomic Energy Agency, 2-166 Omotedate, Obuchi, Rokkasho, Aomori 039-3212, Japan
(Received 30 November 2015 / Accepted 3 January 2016 / Published 10 February 2016)


A high-accuracy numerical integration algorithm for a charged particle motion is developed. The algorithm is based on the Hamiltonian mechanics and the operator decomposition. The algorithm is made to be time-reversal symmetric, and its order of accuracy can be increased to any order by using a recurrence formula. One of the advantages is that it is an explicit method. An effective way to decompose the time evolution operator is examined; the Poisson tensor is decomposed and non-canonical variables are adopted. The algorithm is extended to a time dependent fields' case by introducing the extended phase space. Numerical tests showing the performance of the algorithm are presented. One is the pure cyclotron motion for a long time period, and the other is a charged particle motion in a rapidly oscillating field.


numerical integration, charged particle motion, time reversal symmetry, high accuracy, recurrence formula, time dependent field, ponderomotive force

DOI: 10.1585/pfr.11.1303003


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