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Singular value decomposition methods for wave propagation analysis
Author(s) -
Santolík O.,
Parrot M.,
Lefeuvre F.
Publication year - 2003
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2000rs002523
Subject(s) - physics , polarization (electrochemistry) , whistler , wave propagation , superposition principle , singular value decomposition , computational physics , optics , mathematics , plasma , algorithm , chemistry , quantum mechanics
We describe several newly developed methods for propagation analysis of electromagnetic plasma waves. We make use of singular value decomposition (SVD) technique and we determine the wave vector direction, ellipticity and directions of axes of the polarization ellipse, wave refractive index, transfer function of electric antennas, estimators of the planarity of polarization, and electromagnetic planarity. Simulations of Z‐mode waves, which simultaneously propagate with different wave vectors, indicate that the SVD methods give reasonable results even if the assumption on the presence of a single plane wave is invalid. Simulations of whistler mode waves show that these methods can be used to recognize cases when the waves simultaneously propagate with wave vectors in two opposite hemispheres. Finally, we show an example of analysis of natural whistler mode and Z‐mode emissions measured in the high‐altitude auroral region by the MEMO experiment onboard the INTERBALL spacecraft.