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Reply to comment by R. L. Lysak on “Improved basis set for low frequency plasma waves”
Author(s) -
Bellan P. M.
Publication year - 2013
Publication title -
journal of geophysical research: space physics
Language(s) - English
Resource type - Journals
eISSN - 2169-9402
pISSN - 2169-9380
DOI - 10.1002/jgra.50389
Subject(s) - dispersion relation , dispersion (optics) , matrix (chemical analysis) , basis (linear algebra) , mathematics , set (abstract data type) , physics , mathematical analysis , mathematical physics , calculus (dental) , statistical physics , quantum mechanics , computer science , chemistry , geometry , medicine , dentistry , chromatography , programming language
In a Comment, R. L. Lysak argues against the validity of Bellan (2012) on the grounds that this paper uses fluid rather than kinetic theory. The Comment invokes a commonly used method for reducing the 3×3 wave equation matrix to a 2×2 matrix which then gives approximate dispersion relations. In this Response, it is shown that the same 3×3 wave equation matrix can be obtained from fluid theory and certain mathematical inconsistencies in the method of analysis used in the Comment are identified. It is shown that the dispersion relation derived in Bellan (2012) provides a much better description of the experimental observations reported by Kletzing et al. (2003) than does the dispersion relation proposed in the Comment and in Lysak and Lotko (1996).