An analysis of TM11mode beam blowup in linear electron accelerators

The "beam-blowup" phenomenon associated with traveling-wave linear electron accelerators is examined. An equation describing the interaction between the electron beam and the TM
¹¹
backward-wave mode is developed, and solutions of the equation presented. Computed blowup times as a function of beam current are compared, and show good agreement, with experimental results obtained elsewhere. Possible methods for suppression of blowup are advanced.