Abstract
The formal solution of the linearized Vlasov-Poisson system of equations is carried out for an inhomogeneous strongly magnetized plasma column. The system considered is closely related to several experiments in magnetically confined cylindrical plasmas. A generalization of the Fourier-Laplace method of solution is presented using expansion in the appropriate set of orthonormal functions to handle the boundary value problem in finite systems. The Fourier-Bessel components of the dielectric constant epsilon /sub //m/ll '(k, omega ) for the cylindrical inhomogeneous plasma and a matrix dispersion relation are derived to study the propagation of waves in the bounded system. In the case of neutral plasmas in equilibrium, the problem of finding the roots of the dispersion relation is equivalent to solving an eigenvalue equation. The method is applied to study a typical case in a Q-machine.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
