An improved design theory of a magnetron-injection gun

An improved design theory of a magnetron-injection gun is presented, which is based on a "constant radius" approximation. This theory derives a correction term to be added to the solution of Kino-Taylor\´s planar theory. It is found that, within the adopted approximation, the only correction necessary to Kino-Taylor\´s theory is to take into account the effect of the centrifugal force. The corrected electron trajectories and the corrected electrode shapes are shown for specific examples.