Abstract
The observations of in-situ spacecraft mission in the magnetosheath and a region of thermalized subsonic plasma behind the bow shock reveal a non-linear behaviour of plasma waves. The study of waves and optics in Physics has given the understanding of the effect of many waves coming together to form a wave field or wave packet. The common aspect of such study shows that two or more waves can superimpose constructively or destructively. The sudden high magnetic field data in the magnetosheath displays such possibility of superposition of waves. In this paper, we use the empirical mode decomposition (EMD) and Hilbert transform (HT) techniques to determine the instantaneous frequencies of low frequency plasma waves in the magnetosheath. Our analysis has shown that the turbulent behavior of magnetic field in the magnetosheath within the selected period is due to superposition of waves.
Highlights
From the study of the waves arising from the events on the upstream of the bow shock, there is a process of events leading to another regime of waves with turbulent or complex behaviour in the downstream region otherwise called the magnetosheath
The observations of in-situ spacecraft mission in the magnetosheath and a region of thermalized subsonic plasma behind the bow shock reveal a non-linear behaviour of plasma waves
We use the empirical mode decomposition (EMD) and Hilbert transform (HT) techniques to determine the instantaneous frequencies of low frequency plasma waves in the magnetosheath
Summary
From the study of the waves arising from the events on the upstream of the bow shock, there is a process of events leading to another regime of waves with turbulent or complex behaviour in the downstream region otherwise called the magnetosheath. Detailed investigations of the dynamic properties of space plasma have been limited by the use of these standard techniques This limitation is due to the assumptions of linearity and stationary We use the combination of empirical mode decomposition (EMD) technique and Hilbert transform (HT) to determine the instantaneous frequencies of plasma waves in the magnetosheath which could be used in the detailed investigation of space plasma behaviour. Various qualities have been considered for this comparison between the second and the last rows We show at a glance that the EMD-HT approach is robust for the nonlinear and non-stationary signal analysis
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