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首页> 外文期刊>Earth, planets and space: EPS >Hodograph method to estimate the latitudinal profile of the field-line resonance frequency using the data from two ground magnetometers
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Hodograph method to estimate the latitudinal profile of the field-line resonance frequency using the data from two ground magnetometers

机译：Hodograph方法使用来自两个地面磁力计的数据估算场线共振频率的纬度分布

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摘要

The hodograph method enables estimating the latitudinal profile of the field-line resonance (FLR) frequency (fR) using the data from two ground magnetometers. This paper provides the full details of this method for the first time, and uses a latitudinal chain of ground magnetometers to examine its validity and usefulness. The hodograph method merges the widely-used amplitude-ratio and cross-phase methods in a sense that the hodograph method uses both the amplitude ratio and the phase difference in a unified manner; further than that, the hodograph method provides fR at any latitude near those of the two ground magnetometers. It is accomplished by (1) making a complex number by using the amplitude ratio (phase difference) as its real (imaginary) part; (2) drawing thus obtained complex numbers (one number for one frequency) in the complex plane to make a hodograph; and (3) fitting to thus obtained hodograph a model satisfying the FLR condition, which is a circle with the assumption that the resonance width is independent of the latitude. To examine the validity and usefulness of the hodograph method, we apply it to a Pc 4 event observed by the Scandinavian BEAR array. We also apply the amplitude-phase gradient method (Pilipenko and Fedorov, 1994; Kawano et al., 2002) to the same event, and compare the results; this is the first article applying the both methods to the same dataset.
机译：全息图方法可以使用两个地面磁力计的数据来估计场线共振（FLR）频率（ f R ）的纬度分布。本文首次提供了该方法的全部细节，并使用了地磁表的纬度链来检验其有效性和实用性。在将全息图方法统一使用振幅比和相位差的意义上，全息图方法将广泛使用的振幅比率和交叉相位方法合并在一起。除此之外，全息图法还可以在靠近两个地面磁力计的任意纬度处提供 f R 。它是通过（1）使用振幅比（相位差）作为其实部（虚部）求复数来完成的; （2）在复平面上画出这样得到的复数（一个频率一个数），制作一个全息图。 （3）将满足FLR条件的模型拟合为这样得到的全息图，假设共振宽度与纬度无关，该模型是圆形。为了检查全息图方法的有效性和实用性，我们将其应用于斯堪的纳维亚BEAR阵列观测到的Pc 4事件。我们还将振幅-相位梯度法（Pilipenko和Fedorov，1994; Kawano等，2002）应用到同一事件中，并比较了结果。这是第一篇将两种方法应用于同一数据集的文章。

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