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arXiv · 1304.5885

A Full-Matrix Approach for Solving General Plasma Dispersion Relation

Hua-sheng Xie
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Abstract

A hitherto difficult and unsolved issue in plasma physics is how to give a general numerical solver for complicated plasma dispersion relation, although we have long known the general analytical forms. We transform the task to a full-matrix eigenvalue problem, which allows to numerically calculate all the dispersion relation solutions exactly free from convergence problem and give polarizations naturally for arbitrarily complicated multi-scale fluid plasma with arbitrary number of components. Attempt to kinetic plasma via $N$-point Pad\'e approximation of plasma dispersion function also shows good results.

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Hua-sheng Xie. 2013-04-22. A Full-Matrix Approach for Solving General Plasma Dispersion Relation. https://arxiv.org/abs/1304.5885

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