Effect of cyclotron resonance on ‘hot’ dispersion in a staggered double metallic grating sheet beam travelling wave tube

Based on the beam wave synchronous interaction in transverse and longitudinal directions at the
same time and starting from Maxwell’s equation and linear Vlasov equation, the beam–wave
interaction ‘hot’ dispersion equation considering both cyclotron resonance and Cherenkov
resonance in a staggered double metallic grating traveling wave tube is deduced. Through the
reasonable selection for geometric and electrical parameters, the numerical calculation and
analysis of the ‘hot’ dispersion equation shows that the beam–wave interaction gain and
frequency band with the cyclotron resonance enhancement effect are higher than those with only
Cherenkov resonance radiation.