Wavelet analysis of the magnetotail response to solar wind fluctuations during HILDCAA events

In this work a study of the effects of the high-intensity long-duration continuous AE activity (HILDCAAs) events in the magnetotail was conducted. The aim of this study was to search the main frequencies during HILDCAAs in the inline-formulaB_x component of the geomagnetic field in the magnetotail, as well as the main frequencies, at which the magnetotail responds to the solar wind during these events. In order to conduct this analysis the wavelet transform was employed during nine HILDCAA events that coincided with Cluster spacecraft mission crossing through the tail of the magnetosphere from 2003 to 2007. The most energetic periods for each event were identified. It was found that 76 % of them have periods inline-formula≤4 h. With the aim to search the periods that have the highest correlation between the IMF inline-formulaB_z (OMNI) component and the Cluster inline-formulaB_x geomagnetic field component, the cross wavelet analysis technique was also used in this study. The majority of correlation periods between the inline-formulaB_z (IMF) and inline-formulaB_x component of the geomagnetic field observed also were inline-formula≤4 h, with 62.9 % of the periods. Thus the magnetotail responds stronger to IMF fluctuations during HILDCCAS at 2–4 h scales, which are typical substorm periods. The results obtained in this work show that these scales are the ones on which the coupling of energy is stronger, as well as the modulation of the magnetotail by the solar wind during HILDCAA events.