II. The Retativistic Magnetron and the Effective, Mass Anisotropy

Abstract

It is demonstrated that for the relativistic magnetron, an effective mass m∗/m_o anisotropy arises in the cyclotron frequency similar to the cyclotron resonance phenomenon in semiconductors ; values greater than or less than unity occur, with an anisotropy governed by the direction and magnitude of the particle injection velocity υ₀ and the ratio of the electric and magnetic fields E/H. A special type of motion manifests itself for injection at 90° to E when E/H=υ/C and E⊥H, which is associated with a suigular solution for the trajectory. The cut-off relation is deduced for the cylindrical magnetron and the behaviour in the high energy limit found to be essentially different from the planar case with the cut-off voltage having an asymptotic value prescribed by the electron rest energy.