Theory of electron multipactor in crossed-fields

Summary form only given. A general theory of multipactor between parallel capacitor plates with orthogonal electric and magnetic fields is given. Expressions are derived for the resonant phases at which the rf-driven cascades occur; these reduce to previously derived expressions in the limit of vanishing magnetic field. This work also obtains the conditions governing the stability of the motion about those phases, as well as a dynamic constraint from imposing the restriction that each impact on a plate is the first impact that is allowed by the equations of motion. Chaotic effects from the random ejection velocities of the secondaries are addressed for the first time.