Amplification of a high-frequency electromagnetic wave by a relativistic plasma

The amplification of a high-frequency transverse electromagnetic wave by a relativistic plasma component, via the synchrotron maser process, is studied. The background plasma that supports the trasnverse wave is considered to be cold, and the energetic component whose density is much smaller than that of the background component has a loss-cone feature in the perpendicular momentum space and a finite field-aligned drift speed. The ratio of the background plasma frequency squared to the electron gyrofrequency squared is taken to be sufficiently larger than unity, ω2ρ/ω2c >1. Such a parameter regime is relevant to many space and astrophysical situations. A detailed study of the amplification process is carried out over a wide range of physical parameters including the loss-cone index l, the ratio of the electron mass energy to the temperature of the energetic component α=mc2/T, field-aligned drift speed βd, the normalized density ω2ρ/ω2c, and the wave propagation angle θ