PDRK: A General Kinetic Dispersion Relation Solver for Magnetized Plasma

Abstract

A general, fast, and effective approach is developed for numerical calculation of kinetic plasma dispersion relations. The plasma dispersion function is approximated by $J$-pole expansion. Subsequently, the dispersion relation is transformed to a standard matrix eigenvalue problem of an equivalent linear system. The result is accurate for $J=8$ except the solutions that are the little interesting heavily damped modes. In contrast to conventional approaches, such as Newton's iterative method, this approach can give either all the solutions in the system or a few solutions around the initial guess. It is also free from convergent problems. The approach is demonstrated from electrostatic one-dimensional and three-dimensional dispersion relations, to electromagnetic kinetic magnetized plasma dispersion relation for bi-Maxwellian distribution with parallel velocity drift.

16 pages, 12 figures, see also arXiv "Other formats" link for the codes

References in corpus (5)

• A Parallel-Propagating Alfvénic Ion-Beam Instability in the High-Beta Solar Wind
• Generalized Plasma Dispersion Function: One-Solve-All Treatment, Visualizations, and Application to Landau Damping
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• Exact kinetic theory for the instability of an electron beam in a hot magnetized plasma
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