论文标题
在第二个谐波电子环共振层处的温暖等离子体分散关系的拓扑
Topology of the Warm plasma dispersion relation at the second Harmonic Electron Cyclotron Resonance Layer
论文作者
论文摘要
温暖的血浆分散关系，对于电子回旋共振频率的波，可以将其施放为$ n_ \ perp $的双季度方程式的形式，其中系数是$ n_ \ perp^2 $的函数，并且需要一个迭代过程，并且需要获得解决方案。但是，这种迭代过程尚未得到充分理解，并且在第二个谐波共振层的解决方案中未能收敛。特别是在较高的密度下，波浪可以将它们搭配到电子伯恩斯坦波。本文着重于对迭代方法不良收敛性的解决方案，从而确定了使用完全相对论的斜率代码来确定第二个谐波围绕第二个谐波的分散关系的拓扑结构。提出了一个馈电控制器，其能够在复杂平面内调整$ n_ \ perp^2 $的旋转，同时还限制了阶梯尺寸。结果表明，控制器的实施稳定了不稳定的解决方案，同时改善了迭代的整体鲁棒性。这允许评估第二次谐波电子回旋共振层的快速非凡模式与电子伯恩斯坦波之间的耦合，以用于非垂直传播波。
The Warm Plasma Dispersion Relation, for waves in the electron cyclotron resonance range of frequencies, can be cast into the form of a bi-quadratic equation for $N_\perp$, where the coefficients are a function of $N_\perp^2$ and an iterative procedure is required to obtain a solution. However, this iterative procedure is not well understood and fails to converge towards a solution at the second harmonic resonance layer. In particular at higher densities where the wave can couple to an electron Bernstein wave. This paper focuses on a solution to the poor convergence of the iterative method, enabling determination of the topology of the dispersion relation around the second harmonic using a fully relativistic code for oblique waves. A feed-forward controller is proposed with the ability to adjust the rotation of a step of $N_\perp^2$ within the complex plane, while also limiting the step-size. It is shown that implementation of the controller stabilizes unstable solutions, while improving overall robustness of the iteration. This allows the evaluation of the coupling between the fast extraordinary mode and electron Bernstein waves at the second harmonic electron cyclotron resonance layer, for non-perpendicularly propagating waves.
