Open AccessSpherical harmonic analysis of particle velocity distribution function: Comparison of moments and anisotropies using Cluster data
Author(s) -
Viñas Adolfo F.,
Gurgiolo Chris
Publication year - 2009
Publication title -
journal of geophysical research: space physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.67
H-Index - 298
eISSN - 2156-2202
pISSN - 0148-0227
DOI - 10.1029/2008ja013633
Subject(s) - spherical harmonics , physics , distribution function , computational physics , moment (physics) , anisotropy , particle velocity , velocity moments , harmonic , harmonic oscillator , classical mechanics , mathematical analysis , optics , mathematics , mechanics , quantum mechanics , wavefront , zernike polynomials
This paper presents a spherical harmonic analysis of the plasma velocity distribution function using high‐angular, energy, and time resolution Cluster data obtained from the PEACE spectrometer instrument to demonstrate how this analysis models the particle distribution function and its moments and anisotropies. The results show that spherical harmonic analysis produced a robust physical representation model of the velocity distribution function, resolving the main features of the measured distributions. From the spherical harmonic analysis, a minimum set of nine spectral coefficients was obtained from which the moment (up to the heat flux), anisotropy, and asymmetry calculations of the velocity distribution function were obtained. The spherical harmonic method provides a potentially effective “compression” technique that can be easily carried out onboard a spacecraft to determine the moments and anisotropies of the particle velocity distribution function for any species. These calculations were implemented using three different approaches, namely, the standard traditional integration, the spherical harmonic (SPH) spectral coefficients integration, and the singular value decomposition (SVD) on the spherical harmonic methods. A comparison among the various methods shows that both SPH and SVD approaches provide remarkable agreement with the standard moment integration method.