Kinetic treatment of lower hybrid waves excitation in a magnetized dusty plasma by electron beam

The theoretical modelling of electrostatic lower hybrid waves (LHWs) is investigated using a kinetic treatment involving an electron beam. This electron beam propagates through a magnetized dusty plasma cylinder that consists of dust grains, electrons, and positively charged potassium ions ( K +). The excitation of LHWs via Cerenkov interaction using an analytical model is driven to instability. In order to explain how a population of charged dust particles affects the LHWs growth rate in a plasma that has been stimulated by an electron beam, a dispersion relation has been developed. The dust grain particles impact has been discussed on the growth rate of LHWs, and it was discovered that with the rise in relative density of dust grains, the growth rate of LHWs augments. Also, the growth rate of the unstable mode decreases with the frequency of the lower hybrid wave. Furthermore, the critical drift velocity for excitation of the mode is derived, and it was observed that it decreases as the relative density of negatively charged dust grains augments. The current study's findings align with the existing experimental observations.