A method is given for determining the singularities of the Green's function Gij(r, ω) for a uniform Maxwellian plasma immersed in a magnetic field and described by the linearized Vlasov equation. The positions of the singularities determine the asymptotic time dependence of the electric field. In this paper, only the singularities near the plasma frequency ωp and the Pythagoras frequency ωΔ ≡ (ωb2 + ωp2)½ are studied in detail.
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J. Nuttall (1965) studied this question.
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