Generation of Whistler Mode Waves by Injection of Cold Electron Beam for Loss-Cone Distribution with AC Electric Field in Magneto-plasma

Parallel propagating whistler mode waves, in the presence of AC electric field perpendicular to the ambient magnetic field, have been studied for magneto-plasma under the effect of beam injection. The dispersion relation and growth rate have been derived, and calculations are performed for a pitch angle loss cone unperturbed distribution function. The present analysis indicates that the growth rate of whistler mode waves varies with the values of temperature anisotropy, number density of the injected beam, and loss cone angle. It is also inferred that even in the absence of temperature anisotropy, there is growth of whistler waves, highlighting the dominant role played by the loss-cone angle in generating whistler mode instability.