Higher-Order Landau Modes
- 1 February 1969
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 12 (2) , 269-278
- https://doi.org/10.1063/1.1692477
Abstract
A systematic account of the infinitely many solutions of Landau's dispersion relation verifies that there is always a least‐damped wave provided the wavenumber is real and not zero. This no longer holds when the frequency is real; yet, the mode originally considered by Landau predominates in a limited range. Strong “coupling” is found between this wave and higher‐order modes at complex frequencies, or when collisions are taken into account. However this coupling does not give rise to resonances other than at the plasma frequency. Short tables of Landau poles and singular points of the dispersion relation conclude this account.Keywords
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