Generalized lower-hybrid mode with, density gradient, equilibrium ExB drift, collisions and finite electron Larmor radius: Numerical studies with MATLAB solver

MATLAB solver for general dispersion relation has been developed to study local instabilities in partially magnetized plasmas typical for ExB discharges. Several examples of the Simon-Hoh, lower-hybrid and ion-sound instabilities with the parameters typical for Penning discharge are shown. This solver allows parametrically investigate the local dispersion relation for the wide range of plasma parameters and prepare reports.