Determination of the Envelope Distribution for Langmuir Waves in the Topside Ionosphere

Computer Science – Sound

Scientific paper

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2483 Wave/Particle Interactions (7867), 2487 Wave Propagation (0689, 3285, 4275, 4455, 6934), 2704 Auroral Phenomena (2407)

Scientific paper

The modulations of Langmuir waves envelopes are an essential input to calculations of wave amplitudes used in Stochastic Growth Theory. Reported here are statistics of the distributions of amplitudes of Langmuir waves taken from multiple snapshots of Langmuir wave packets observed on the TRICE high-flyer sounding rocket launched in December, 2007. For each case, wave amplitudes are determined using the Hilbert transform and are then binned to produce a probability distribution of amplitudes. These distributions are then fit to a functional form of P(W) = WA exp(-W/Wth) where W is the electric field energy density. This functional form is suggested by the form for thermal waves used in stochastic growth theory. Taking more than 25 cases, the TRICE data consistently show values of A that are near 1 and values of Wth that vary widely. Values of A near one suggest that the Langmuir waves are essentially one dimensional in nature. Examples of the waveforms and distributions are presented. The implications of these measurements are discussed with respect to theory.

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