Geometry of magnetosonic shocks and plane-polarized waves: Coplanarity Variance Analysis (CVA)

Details Geometry of magnetosonic shocks and plane-polarized waves: Coplanarity Variance Analysis (CVA) Geometry of magnetosonic shocks and plane-polarized waves: Coplanarity Variance Analysis (CVA)

Feb 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005jgra..11002202s&link_type=abstract

Journal of Geophysical Research, Volume 110, Issue A2, CiteID A02202

Physics

Plasma Physics

2

Interplanetary Physics: Discontinuities (7811), Space Plasma Physics: Discontinuities (2109), Space Plasma Physics: Shock Waves (4455)

Scientific paper

Minimum Variance Analysis (MVA) is frequently used for the geometrical organization of a time series of vectors. The Coplanarity Variance Analysis (CVA) developed in this paper reproduces the layer geometry involving coplanar magnetosonic shocks or plane-polarized wave trains (including normals and coplanarity directions) 300 times more precisely (<0.1°) than MVA using the same input data. The CVA technique exploits the eigenvalue degeneracy of the covariance matrix present at planar structures to find a consistent normal to the coplanarity plane of the fluctuations. Although Tangential Discontinuities (TDs) have a coplanarity plane, the eigenvalues of their covariance matrix are usually not degenerate; accordingly, CVA does not misdiagnose TDs as shocks or plane-polarized waves. Together CVA and MVA may be used to sort between the hypotheses that the time series is caused by a one-dimensional current layer that has magnetic disturbances that are (1) coplanar, linearly polarized (shocks/plane waves), (2) intrinsically helical (rotational/tangential discontinuities), or (3) neither 1 nor 2.

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