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Bayesian Spectral Analysis of Chorus SubElements from the Van Allen Probes
Author  Crabtree, Chris; Tejero, Erik; Ganguli, Gurudas; Hospodarsky, George; Kletzing, Craig; 
Keywords  Bayesian Spectral; Chorus; Van Allen Probes; whistler 
Abstract  We develop a Bayesian spectral analysis technique that calculates the probability distribution functions of a superposition of wavemodes each described by a linear growth rate, a frequency and a chirp rate. The Bayesian framework has a number of advantages, including 1) reducing the parameter space by integrating over the amplitude and phase of the wave, 2) incorporating the data from each channel to determine the model parameters such as frequency which leads to high resolution results in frequency and time, 3) the ability to consider the superposition of waves where the waveparameters are closely spaced, 4) the ability to directly calculate the expectation value of wave parameters without resorting to ensemble averages, 5) the ability to calculate error bars on model parameters. We examine one risingtone chorus element in detail from a disturbed time on November 14, 2012 using burst mode waveform data of the three components of the electric and magnetic field from the EMFISIS instrument on board NASA\textquoterights Van Allen Probes. The results demonstrate that subelements are likely composed of almost linear waves that are nearly parallel propagating with continuously changing wave parameters such as frequency and wavevector. Between subelements the wave parameters of the dominant mode undergoes a discrete change in frequency and wavevector. Near the boundary of subelements multiple waves are observed such that the evolution of the waves is reminiscent of wavewave processes such as parametric decay or nonlinear induced scattering by particles. These nonlinear processes may affect the saturation of the whistlermode chorus instability. 
Year of Publication  2017 
Journal  Journal of Geophysical Research: Space Physics 
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Number of Pages  
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Date Published  04/2017 
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URL  http://onlinelibrary.wiley.com/doi/10.1002/2016JA023547/full 
DOI  10.1002/2016JA023547 