The non-linear analysis of an adiabatic magnicon has been developed. I
n the configuration presented herein both the buncher and catcher cavi
ties employ fast radiation fields in cyclotron resonance with an elect
ron beam with exclusively axial electron velocity initially. The drift
space between the cavities has both an adiabatically varying magnetos
tatic field and an axial electrostatic field. The properties of the st
rong azimuthal bunching, generated in the buncher, have been calculate
d and the conditions of the drift space have been determined, to satis
fy the cyclotron resonance in the catcher. The idealized system has be
en calculated to operate in principle at electronic efficiency eta(e)
= 100% with 25% gain, while reduced values of eta(e) give higher gain,
still keeping the system efficiency at the nominal value of 100%.