Statistics – Computation
Scientific paper
May 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986p%26ss...34..429n&link_type=abstract
Planetary and Space Science (ISSN 0032-0633), vol. 34, May 1986, p. 429-451.
Statistics
Computation
26
Magnetospheric Instability, Particle Interactions, Plasma-Electromagnetic Interaction, Whistlers, Collisionless Plasmas, Cyclotron Resonance, Fourier Transformation, Sidebands, Stability, Vlf Emission Recorders
Scientific paper
The paper is concerned with large amplitude ducted VLF waves (greater than 1.5 pT) in the earth's magnetosphere. The waves are excited by nonlinear cyclotron resonance with a continuous distribution of energetic electrons. The nonlinear sideband stability of such VLF waves is investigated. In addition the paper looks at wave particle interaction effects in wavefields consisting of multiple sidebands, discrete waves plus hiss bands, or intense band-limited hiss. The treatment is nonself-consistent. The wavefield is specified a priori and the nonlinear resonant particle current is directly computed. The wavefield and current are spatially DFT'd, and the nonlinear growth rate is calculated as a function of frequency. Sideband stability behavior is controlled by the magnitude and sign of the inhomogeneity. The magnetic field strength provides a parabolic inhomogeneity, and it was found that under these circumstances the upper sideband was unstable and the lower sideband damped. In band-limited signals the uppermost frequencies get the most power, and intermediate frequencies are usually relatively damped. The computations lead directly to a nonlinear theory of quiet band, and also suggest a mechanism for power line harmonic radiation line drift. Results with intense band limited hiss suggest that nonlinear wave particle interactions may cause a broadband spectrum to become spectrally structured. Assuming strong nonlinearity, constant inhomogeneity and weak sidebands, an analytic theory of sideband stability is developed. This is found to agree well with both computations and the experimental results from the Siple station.
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