Relativistic electron beam-plasma instability and interaction with electromagnetic wave



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Texas Tech University


A plasma particle simulation was undertaken to study the growth rate of the relativistic beam-plasma electromagnetic instability. The linear dispersion relation for the relativistic beam-plasma electromagnetic instability is derived and solved numerically for the growth rate of the electromagnetic field. The linear growth rate is numerically tabulated as a function of beam velocity and wavenumber. The results are compared with plasma particle simulations conducted using MAGIC, a particle in cell code developed by Mission Research Corporation under the auspices of the Air Force Office of Scientific Research. The resulting growth rates, as a function of beam velocity and wavenumber, from the particle simulation agree with the linear theory. The saturation of the beam-plasma instability agrees with the quasi-linear theory. Electromagnetic turbulence develops from the relativistic beam-plasma instability. The interaction of the electromagnetic turbulence with an incident electromagnetic wave, at w=wp where wp is the plasma frequency, is studied by the use of the Fourier spectrum. A scattered wave spectrum is observed at w =2wp.



Magnetohydrodynamics, Electromagnetic waves, Plasma instabilities