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Dispersion relation for cyclotron waves as a spatial condition for minimum collisionless damping
Author(s) -
Saermark K.,
Lebech J.
Publication year - 1975
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220720221
Subject(s) - dispersion relation , physics , bessel function , cyclotron , fermi surface , electron , fermi gamma ray space telescope , dispersion (optics) , condensed matter physics , quantum electrodynamics , magnetic field , surface wave , computational physics , quantum mechanics , optics
It is shown that the dispersion relation for cyclotron waves of the extraordinary type (ECW) propagating in a metal with a cylindrical Fermi surface may be found in a simple way from the zero's of certain Bessel functions. This follows as a consequence of a requirement of minimum damping of the waves by direct collisionless interaction between the electrons and the waves. A detailed comparison with calculations based on a realistic silver Fermi surface and a spherical Fermi surface, in both cases for a finite value of ωτ, is performed. The behavior of the dispersion relation in the limit of vanishing magnetic field is considered in some detail and a number of interesting features are pointed out.