Theory of high power cylindrical magnetron

Summary form only given. Making use of a macroscopic cold-fluid model for the electrons, the authors have formulated a diocotron theory of the extraordinary mode perturbations for a tenuous electron flow. However, this previous theory is limited to a planar geometry and to a very tenuous layer. The authors have therefore extended the previous theory to a cylindrical geometry and to an intense electron flow. Eigenvalue equations of the extraordinary mode perturbations for an electron flow in Brillouin equilibrium in a cylindrical magnetron were derived, within the context of the linearized cold-fluid Maxwell equations. Assuming a tenuous flow density, the simplified eigenvalue equation was used to derive a closed algebraic dispersion relation of the diocotron instability