## A large-signal analysis of the cyclotron resonance oscillator |

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assumed assumption averaged axial velocity beam current beam drifting boundary conditions bunching forces Cavity Model charge clusters charge density charge groups circuit coefficient components computer program coupling crossover cutoff Cyclotron Resonance devices Cyclotron Resonance Oscillator dc beam dc cycle driven field E-field efficiency level electric field electron beam energy equations of motion Favorable Phase field strength Figure filamentary Flight Diagram Fourier series Frequency Shift Group Velocities homogeneous field Kulke's Lagrangian Coordinates large-signal analysis linear magnetic field magnitude Millimeter Waves mode non-homogeneous field orbiting frequency output Pantell Pantell Bunching parameters particle peak phase angle plane power exchange PRINT propagation constant radial space charge relativistic mass RF cycle RF fields rotating Rp(z slowly varying solutions space charge forces standing wave standing wave field standing-wave synchronism tight spiral approximation unfavorable v x B forces vector wave equation waveguide wavelength Wilmarth zero