“…Various methods have been proposed to detect wave modes through wave vector analysis: six-component method Lefeuvre 1979, 1980), eigenvalue and eigenvector decomposition (Schmidt 1986) and its generalization to the problem to the unknown numbers of signals (Choi et al 1993), minimum variance projection (Neubauer and Glassmeier 1990;Pinçon and Lefeuvre 1991;Motschmann et al 1995Motschmann et al , 1996Glassmeier et al 2001). MSR is unique in that it combines two distinct projection methods from spatial coordinates into wavevectors.…”
Measurement of turbulent magnetic field is presented from the Earth magnetotail crossing of the Cluster spacecraft on August 25, 2006, as an ideal case study of magnetohydrodynamic turbulence in the plasma sheet boundary layer on a spatial scale of about 10,000 km. The fluctuation energy of the magnetic field is evaluated in both the frequency and wavevector domains. The observed plasma sheet turbulence event shows anisotropy in the wavevector domain with a spectral extension perpendicular to the mean magnetic field. The analyses of the dispersion relation and phase speed diagrams indicate that the coherent wave components should be regarded as a set of the linear-mode waves and the other fluctuation components in magnetohydrodynamics. Although the magnetic field fluctuation amplitudes are sufficiently small compared to the large-scale field strength, there is no clear indication of the linear-mode dominance in the plasma sheet. As a lesson, magnetohydrodynamic turbulence must be modeled by including both linear-mode waves and nonlinear wave components such as sideband waves.
“…Various methods have been proposed to detect wave modes through wave vector analysis: six-component method Lefeuvre 1979, 1980), eigenvalue and eigenvector decomposition (Schmidt 1986) and its generalization to the problem to the unknown numbers of signals (Choi et al 1993), minimum variance projection (Neubauer and Glassmeier 1990;Pinçon and Lefeuvre 1991;Motschmann et al 1995Motschmann et al , 1996Glassmeier et al 2001). MSR is unique in that it combines two distinct projection methods from spatial coordinates into wavevectors.…”
Measurement of turbulent magnetic field is presented from the Earth magnetotail crossing of the Cluster spacecraft on August 25, 2006, as an ideal case study of magnetohydrodynamic turbulence in the plasma sheet boundary layer on a spatial scale of about 10,000 km. The fluctuation energy of the magnetic field is evaluated in both the frequency and wavevector domains. The observed plasma sheet turbulence event shows anisotropy in the wavevector domain with a spectral extension perpendicular to the mean magnetic field. The analyses of the dispersion relation and phase speed diagrams indicate that the coherent wave components should be regarded as a set of the linear-mode waves and the other fluctuation components in magnetohydrodynamics. Although the magnetic field fluctuation amplitudes are sufficiently small compared to the large-scale field strength, there is no clear indication of the linear-mode dominance in the plasma sheet. As a lesson, magnetohydrodynamic turbulence must be modeled by including both linear-mode waves and nonlinear wave components such as sideband waves.
“…These observations were analysed already by Narita et al (2007) using the well-established and thoroughly tested wave telescope analysis method (e.g. Neubauer and Glassmeier, 1990;Motschmann et al, 1996;Glassmeier et al, 2001;Narita et al, 2003) to study the dispersion of foreshock waves. We may thus validate the wave surveyor approach by comparing our results with the findings of Narita et al (2007).…”
Section: Application To Cluster Fgm Observations Of Foreshock Wavesmentioning
Abstract. Multi-satellite missions like Cluster allow to study the full spatio-temporal variability of plasma processes in near-Earth space, and both the frequency and the wave vector dependence of dispersion relations can be reconstructed. Existing wave analysis methods include high-resolution beamformers like the wave telescope or k-filtering technique, and the phase differencing approach that combines the correlations measured at pairs of sensors of the spacecraft array. In this paper, we make use of the eigendecomposition of the cross spectral density matrix to construct a direct wave identification method that we choose to call the wave surveyor technique. The analysis scheme extracts only the dominant wave mode but is much faster to apply than existing techniques, hence it is expected to ease survey-type detection of waves in large data sets. The wave surveyor technique is demonstrated by means of synthetic data, and is also applied to Cluster magnetometer measurements.
“…The four‐point measurements performed by the Cluster mission (Escoubet et al., 2001) are certainly insufficient for the spatial Fourier transform. The wave telescope technique (Glassmeier et al., 2001; Motschmann, Woodward, Glassmeier, & Southwood, 1996; Motschmann, Woodward, Glassmeier, Southwood, & Pinçon, 1996) overcomes the problem of spatial undersampling in the wave analysis by making extensive use of the minimum variance projection by Capon (1969), one of the most successful adaptive filter methods. The concept of using a sensor array in the plasma wave experiment in space was originally developed by Musmann et al.…”
Section: Introductionmentioning
confidence: 99%
“…(1999), Pinçon and Glassmeier (2008), Motschmann et al. (1995), Motschmann, Woodward, Glassmeier, and Southwood (1996), Motschmann, Woodward, Glassmeier, Southwood, and Pinçon (1996), Glassmeier et al. (2001), and Narita, Gary, et al.…”
The wave telescope technique is a wave analysis method based on the adaptive filter theory, and provides an algorithm to determine the wavelengths and propagation directions from the multi-spacecraft data without any assumption of wave modes or plasma model a priori. The technique has successfully been applied to the fluxgate magnetometer data from four spacecraft of the Cluster mission. The theoretical background, performance limits, and scientific applications (such as observational dispersion relations and spatial pattern of wave propagations) and further possible extensions are reported in the article.NARITA ET AL.
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