Nonlinear dynamics of an ordinary electromagnetic mode in a pair plasma

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Plasma Properties, Nonlinear Phenomena: Waves, Wave Propagation, And Other Interactions, Electromagnetic Waves, Electrostatic Waves And Oscillations

Scientific paper

Nonlinear generation of an ordinary electromagnetic mode (o mode), which has high phase velocity (vph>>c), and at the same time, is almost longitudinal for long wavelengths, is discussed in an electron-positron plasma. The solution of the problem of increasing energy (``plasmon condensate'') of the long-wavelength o mode based on modulations of the wave by the beat wave of two higher frequency transverse electromagnetic waves (propagating along the external magnetic field) is proposed. The system of equations describing three-dimensional nonlinear dynamics of this ``superluminal'' o mode is derived and analytical solution for the modulated wave is found. The generated waves can have components propagating obliquely to the magnetic field. Important consequences of the effect to processes in pulsar's magnetospheres, in particular, the pulsar radio emission, are discussed.

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