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Reconstruction of the magnetic perturbation in a toroidal reversed field pinch

机译：环形反向场收缩中磁扰动的重建

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摘要

A new method to obtain the radial profile of the magnetic perturbation in a toroidal force-free plasma having a circular cross section is developed. The toroidal geometry produces poloidal harmonics in the equilibrium quantities (at the leading order m = +/-1, n=0), which act as mediators between perturbations with the same toroidal number and different poloidal numbers. The approach proposed here, based on the contravariant representation of the magnetic field in flux co-ordinates, is formally simple and rigorous and maintains a nice similarity with the cylindrical treatment. The method is quite general and can be applied to any circular low-beta plasma. In this work we describe its application to the Reversed Field eXperiment (RFX) plasma. It is customary in reversed field pinches to approach the analysis of MHD instabilities by using a cylindrical geometry. Nonetheless, the effect of a more realistic toroidal geometry can play an important role, and indeed we found that the toroidal effects on the magnetic perturbations are not negligible.
机译：开发了一种在具有圆形横截面的无环力等离子体中获得磁扰动的径向轮廓的新方法。环形几何体会在平衡量（前导m = +/- 1，n = 0）中产生极向谐波，这些谐和充当了相同极环数和不同极向数的微扰之间的介体。本文提出的方法基于磁场在通量坐标中的反变表示，形式上简单而严格，并且与圆柱体处理保持了良好的相似性。该方法非常通用，可以应用于任何环形低β等离子体。在这项工作中，我们描述了其在反向场实验（RFX）等离子体中的应用。在反向场收缩中，通常使用圆柱几何来分析MHD不稳定性。尽管如此，更逼真的环形几何形状的影响仍可以发挥重要作用，实际上我们发现环形磁场对磁扰动的影响不可忽略。

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