Recently, it was found that a gyro-backward-wave oscillator (gyro-BWO) with
a tapered waveguide can exhibit stationary oscillations at currents which
exceed the starting current by more than 2 orders of magnitude, This result
, at first glance, contradicts the theory of transients in untapered linear
-beam BWO's, which predicts nonstationary oscillations at currents exceedin
g the start current by a factor of 3. To explain this behavior of the taper
ed gyro-BWO, its nonstationary theory is developed. The results obtained de
monstrate the consistency of the tapered gyro-BWO operation with the known
theory of transients and also show that the tapering may provide stationary
oscillations at high currents.