A closed-form integral representation of the electromagnetic dispersion relation for plasma waves propagating perpendicular to a magnetic field is derived. Growth rates and oscillation frequencies are calculated for several cases of the Dory–Guest–Harris instability and compared with those calculated from the usual electrostatic version of the dispersion relation. The comparisons show that the electromagnetic treatment more accurately identifies unstable configurations in plasmas with high beta, where the electrostatic dispersion relation predicts stability. Continuum kinetic simulations using the Washington approximate Riemann plasma framework confirm the theoretical calculations. The electromagnetic extension of the Dory–Guest–Harris instability provides a new benchmark problem for testing continuum kinetic simulations using the Vlasov–Maxwell plasma model, including for other numerical treatments such as particle-in-cell methods.

中文翻译：

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Dory-Guest-Harris 不稳定性的电磁扩展作为磁化等离子体 Vlasov-Maxwell 连续动力学模拟的基准

推导出垂直于磁场传播的等离子体波的电磁色散关系的闭式积分表示。对 Dory-Guest-Harris 不稳定性的几种情况计算了增长率和振荡频率，并与根据色散关系的通常静电版本计算的那些进行了比较。比较表明，电磁处理可以更准确地识别具有高 β 的等离子体中的不稳定构型，其中静电色散关系预测稳定性。使用华盛顿近似黎曼等离子体框架的连续动力学模拟证实了理论计算。