An analysis is presented of a cyclotron resonance maser amplifier operating
with electron pulses. The electrons are resonant at two frequencies of the
same waveguide mode. We consider both a single resonant frequency interact
ion and also a coupled two resonant frequency interaction. It is shown that
, in general, the interaction with both resonant frequencies must be taken
into account. The analysis includes propagation effects due to the differen
ce between the axial velocity of the electrons and the group velocities of
the radiation fields. Both linear and numerical solutions to the equations
are given, and superradiant emission is demonstrated where the radiated pow
er scales as the square of the electron pulse current. Two methods of low-f
requency suppression are presented allowing the high-frequency emission to
dominate. These results may have important consequences for the generation
of short pulses of high-frequency, high-power microwave radiation. [S1063-6
51X(99)01001-6].