In this paper, we are going to investigate the effects of plasma parameters on dispersion characteristics of electrostatic modes in a cylindrical inhomogeneous warm magnetized plasma waveguide. To this aim, the radial inhomogeneity for different characteristic length with strongly spatial dispersion are taken into account. Due to radial inhomogeneity of plasma, all essential equations for studying the properties of dispersion are calculated in Bessel–Fourier and differential Bessel–Fourier expansion. Moreover, two cases of strong and weak magnetic fields are considered for the analyses. We show that there was just an interval in which the space-charge and cyclotron modes are excited. We called it the Longitudinal Wavenumber Excitation Interval that is due to the thermal effect consideration. The effect of different radial inhomogeneity characteristic length on the dispersion properties is also studied in this work.
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