2016
DOI: 10.1002/2016ja022827
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Revised single‐spacecraft method for determining wave vector k and resolving space‐time ambiguity

Abstract: A practical method is proposed for determining the wave vector of waves from single‐spacecraft measurements. This wave vector knowledge can then be used to remove the space‐time ambiguity produced by frequency Doppler shift associated with spacecraft motion. The method involves applying the Wiener‐Khinchin theorem to cross correlations of the current and magnetic field oscillations and to autocorrelations of the magnetic field oscillations. The method requires that each wave frequency component map to a unique… Show more

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Cited by 33 publications
(76 citation statements)
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“…The electric field fluctuations giving rise to strong E × B drifts (052707.2-052707.9 UT) have the maximum variance direction 94°from the wave vector k (mainly electromagnetic) and satisfy k ⊥ * ffiffiffiffiffiffiffiffiffiffi r e ×r i p = 0.77 (where r e and r i are the electron and ion thermal gyroradii, respectively), consistent with the longwavelength lower hybrid wave that typically has k ⊥ * ffiffiffiffiffiffiffiffiffiffi r e ×r i p~1 (Daughton, 2003). The wave vectors are determined based on the methods established in Norgren et al (2012) and Bellan (2016). The wave vectors are determined based on the methods established in Norgren et al (2012) and Bellan (2016).…”
Section: Resultsmentioning
confidence: 99%
“…The electric field fluctuations giving rise to strong E × B drifts (052707.2-052707.9 UT) have the maximum variance direction 94°from the wave vector k (mainly electromagnetic) and satisfy k ⊥ * ffiffiffiffiffiffiffiffiffiffi r e ×r i p = 0.77 (where r e and r i are the electron and ion thermal gyroradii, respectively), consistent with the longwavelength lower hybrid wave that typically has k ⊥ * ffiffiffiffiffiffiffiffiffiffi r e ×r i p~1 (Daughton, 2003). The wave vectors are determined based on the methods established in Norgren et al (2012) and Bellan (2016). The wave vectors are determined based on the methods established in Norgren et al (2012) and Bellan (2016).…”
Section: Resultsmentioning
confidence: 99%
“…Fortunately, the monochromatic nature of the observed wave enabled the application of several independent methods of wavevector determination. Here we utilized four methods to provide a robust estimate of k : (1) parallel component of the wavevector derived from the correlation between velocity and magnetic field fluctuations16, (2) k -vector estimation from current and magnetic field fluctuations measured in the spacecraft frame2324, (3) comparison of spacecraft-measured gradients with their corresponding spacecraft-averaged quantities, that is, the plane-wave approximation4, and (4) phase differencing of the magnetic field fluctuations between each spacecraft25.…”
Section: Resultsmentioning
confidence: 99%
“…In the second method, we combined fluctuations of current and magnetic field in the spacecraft frame to estimate k as a function of frequency using spectral techniques recently developed by Bellan2324. Here the k -vector was derived directly from fluctuations in Δ J and Δ B measured in the spacecraft frame (see Fig.…”
Section: Resultsmentioning
confidence: 99%
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