Double Plasma Resonance in Electron–Positron Plasma at the Pulsar Magnetosphere

Geomagnetism and Aeronomy. 2024. Vol. 64. No. 7. P. 1044–1048.

V. E. Shaposhnikov, Simonova T. V.

The electron cyclotron waves instability near the frequencies of electron cyclotron harmonics in an
electron–positron plasma is studied under conditions typical for the radio emission source with a quasi-harmonic
structure of the pulsar in the Crab Nebula. The increment of instability of longitudinal cyclotron waves
is calculated for an electron–positron plasma with a small admixture of energetic electrons and positrons with
a “loss cone” distribution function. It is shown that the magnitude of this increment increases significantly
for the waves with a frequency close to the frequency of the upper hybrid resonance when the latter is close to
the frequency of one of the cyclotron harmonics, similar to the double plasma resonance effect in electron–
proton plasma.

Keywords: generation mechanism, magnetized electron-positron plasma, pulsars, double plasma resonance