Application of bicoherence analysis in study of wave interactions in space plasma

Lagoutte, D.; Lefeuvre, F.; Hanasz, J.

doi:10.1029/ja094ia01p00435

Cited by 39 publications

(21 citation statements)

References 12 publications

(10 reference statements)

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“…The Fourier bispectrum can be misleading for short data records, for which large values of B ( ω 1 , ω 2 ) can be generated even though the signal is incoherent, i.e., with no phase relations. This is due to the sensitivity of the bispectrum to the amplitudes of the spectral components involved [ Lagoutte et al , ]. Thus, in this study, we opt for a normalized quantity called the bicoherence, which is defined as

b^{2} (ω_{1}, ω_{2}) = \frac{| B (ω_{1}, ω_{2}) |^{2}}{E ([], | F (ω_{1}) F (ω_{2}) |^{2}) E ([], | F (ω_{1} + ω_{2}) |^{2})}

and its values lie between 0 and 1.…”

Section: Higher‐order Power Spectramentioning

confidence: 99%

Plasma turbulence and coherent structures in the polar cap observed by the ICI‐2 sounding rocket

et al. 2015

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The electron density data from the ICI‐2 sounding rocket experiment in the high‐latitude F region ionosphere are analyzed using the higher‐order spectra and higher‐order statistics. Two regions of enhanced fluctuations are chosen for detailed analysis: the trailing edge of a polar cap patch and an electron density enhancement associated with particle precipitation. While these two regions exhibit similar power spectra, our analysis reveals that their internal structures are significantly different. The structures on the edge of the polar cap patch are likely due to nonlinear wave interactions since this region is characterized by intermittency and significant coherent mode coupling. The plasma enhancement subjected to precipitation, however, exhibits stronger random characteristics with uncorrelated phases of density fluctuations. These results suggest that particle precipitation plays a fundamental role in ionospheric plasma structuring creating turbulent‐like structures. We discuss the physical mechanisms that cause plasma structuring as well as the possible processes for the low‐frequency part of the spectrum in terms of plasma instabilities.

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b^{2} (ω_{1}, ω_{2}) = \frac{| B (ω_{1}, ω_{2}) |^{2}}{E ([], | F (ω_{1}) F (ω_{2}) |^{2}) E ([], | F (ω_{1} + ω_{2}) |^{2})}

and its values lie between 0 and 1.…”

Section: Higher‐order Power Spectramentioning

confidence: 99%

Plasma turbulence and coherent structures in the polar cap observed by the ICI‐2 sounding rocket

et al. 2015

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“…The bicoherence is used as an estimator of quadratic phase coupling, characteristic of three‐wave coherent interactions. Lagoutte et al [1989] give a methodological introduction to bicoherence analyses based on a Fourier approach. Although studies of bicoherence have been reported in the ionosphere [ Pecseli et al , 1993], the bow shock [ Dudok de Wit and Krasnosel'Skikh , 1995] and the solar wind near the foreshock edge [ Bale et al , 1996], to our knowledge, the present analyses represents the first time that bicoherence is used to study three‐wave coupling in the solar wind during a type III.…”

Section: Evidence For Wave Couplingmentioning

confidence: 99%

Evidence for wave coupling in type III emissions

et al. 2009

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[1] Using new capabilities of waveform analyses provided by the S/WAVES instruments onboard the two STEREO spacecraft, we present for the first time a complete set of direct evidence for three-wave coupling occurring during a type III emission and involving two Langmuir waves and an ion acoustic wave. Information on the Doppler-shifted frequencies and especially the phases of the waves are used in order to check first the conservation of momentum and energy, through Fourier analyses, and second the phase locking between the waves, through bicoherence analyses. Wavelet analyses allow us to resolve for the first time the coupling regions, in which spatial length is estimated to be 18 ± 5 km. The wave packets travel at comparable speed, and the characteristic available interaction time is about 1 s. Interpretations of the phase coupling and evaluation of the growth rate of the waves tend to favor the parametric decay, at least in the observational events considered in this work.

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“…Historically 3 approaches to the identification of nonlinear processes have been used: bicoherency (Kim and Powers, 1979;Lagoutte and Hanasz, 1989), time domain modelling (Coca et al, 2001;Zhu et al, 2007) and frequency domain modelling (Ritz and Powers, 1986). The main advantage of bicoherency is that it can be applied to single point measurements.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of ion sound waves in the front of the terrestrial bow shock

2011

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Abstract. Single spacecraft measurements from the Cluster 3 satellite are used to identify nonlinear processes in ionsound turbulence observed within the front of the quasiperpendicular terrestrial bow shock. Ion sound waves possess spatial scales that are too small for the efficient use of multipoint measurements on inter-satellite separation scales. However, it is shown how frequency domain modelling can be applied to single spacecraft electric field data obtained using the EFW internal burst mode. The resulting characteristics of the nonlinear processes are used to argue about the possible wave sources and investigate their dynamics.

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Application of bicoherence analysis in study of wave interactions in space plasma

Cited by 39 publications

References 12 publications

Plasma turbulence and coherent structures in the polar cap observed by the ICI‐2 sounding rocket

Plasma turbulence and coherent structures in the polar cap observed by the ICI‐2 sounding rocket

Evidence for wave coupling in type III emissions

Dynamics of ion sound waves in the front of the terrestrial bow shock

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