Wave Polarization Analyzed by Singular Value Decomposition of the Spectral Matrix in the Presence of Noise

0501818 - ÚFA 2019 RIV NL eng J - Journal Article
Taubenschuss, Ulrich - Santolík, Ondřej
Wave Polarization Analyzed by Singular Value Decomposition of the Spectral Matrix in the Presence of Noise.
Surveys in Geophysics. Roč. 40, č. 1 (2019), s. 39-69. ISSN 0169-3298. E-ISSN 1573-0956
Grant - others:AV ČR(CZ) AP1401; AV ČR(CZ) JSPS-17-14
Program: Akademická prémie - Praemium Academiae; Bilaterální spolupráce
Institutional support: RVO:68378289
Keywords : Polarization analysis * Plane wave * Hermitian spectral matrix * Singular value decomposition * Spectral averaging * Singular values * Eigenvalue * Stokes parameters * Degree of polarization * Ellipticity * Planarity * Wave normal vector
OECD category: Fluids and plasma physics (including surface physics)
Impact factor: 5.544, year: 2019
https://link.springer.com/article/10.1007/s10712-018-9496-9#enumeration

Analysis of wave polarization provides wave propagation parameters and enables an identification of modes in space plasmas. It is based on measurements of several components of fluctuating electromagnetic fields. This technique has become a conventional part of modern instrumentation onboard scientific spacecraft. A definition of the degree of polarization can be reduced to a very basic form, i.e., the ratio of a signal's polarized power to its total power. However, this simple definition can have several different realizations which depend mainly on the underlying assumptions about separating the polarized (coherent) part from the unpolarized part (noise). After reviewing polarization of a plane wave in two and three dimensions, we examine the singular value decomposition technique for a complex spectral matrix as well as for a real spectral matrix. The meaning of singular values is explained, and we show to what extent the singular values are able to contribute to a separation between polarized signal and noise. Finally, our theoretical findings are verified with synthetic data as well as with whistler-mode chorus wave observations from the THEMIS spacecraft.
Permanent Link: http://hdl.handle.net/11104/0293801