BO-KM: A comprehensive solver for dispersion relation of obliquely propagating waves in magnetized multi-species plasma with anisotropic drift kappa-Maxwellian distribution

The observation of superthermal plasma distributions in space reveals a multitude of distributions with high-energy tails, and the kappa-Maxwellian distribution is a type of non-Maxwellian distribution that exhibits this characteristic. However, accurately determining the multiple roots of the dispersion relation for superthermal plasma waves propagating obliquely presents a challenge. To tackle this issue, we have developed a comprehensive solver, BO-KM, utilizing an innovative numerical algorithm that eliminates the need for initial value iteration. The solver offers an efficient approach to simultaneously compute the roots of the kinetic dispersion equation for oblique propagation in magnetized plasmas. It can be applied to magnetized superthermal plasma with multi-species, characterized by anisotropic drifting kappa-Maxwellian, bi-Maxwellian distributions, or a combination of the two. The rational and J-pole Padé expansions of the dispersion relation are equivalent to solving a linear system's matrix eigenvalue problem. This study presents the numerical findings for kappa-Maxwellian plasmas, bi-Maxwellian plasmas, and their combination, demonstrating the solver's outstanding performance through benchmark analyses.

对太空中超热等离子体分布的观测揭示了众多具有高能尾部的分布形态，其中，
kappa-Maxwellian分布是一种展现出此类特性的非Maxwellian分布。然而，精确确定沿斜向传播的超热等离子体波分散关系的多重根却是一项挑战。为了应对这一问题，我们开发了一种综合求解器BO-KM，该求解器采用了一种创新的数值算法，消除了对初始值迭代的依赖。该求解器提供了一种高效的方法，能够同时计算在磁化等离子体中斜向传播的动能分散方程的根。它可以应用于具有多物种、具有各向异性漂移的kappa-Maxwellian、双Maxwellian分布或两者结合的磁化超热等离子体。分散关系的rational和J极Padé展开与求解线性系统的矩阵特征值问题等价。本研究针对kappa-Maxwellian等离子体、双Maxwellian等离子体及其组合，通过基准分析展示了求解器的卓越性能。