Excitation of whistler mode instability due to slow cyclotron interaction in an inhomogenous beam-plasma System

The excitation of whistler wave instability due to slow cyclotron (m = - 1) interaction in an inhomogeneous plasma penetrated by an inhomogeneous beam of electrons is studied. Expressions are obtained for the elements of the plasma and beam dielectric tensors. It is shown that the inhomogeneity in both beam and plasma number densities affects the growth rate of the instability.