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A linear theory and design study for a gyrotron backward-wave oscillator†

1984; Taylor & Francis; Volume: 57; Issue: 6 Linguagem: Inglês

10.1080/00207218408938989

1362-3060

S.Y. Park, V.L. Granatstein, Robert K. Parker,

Pulsed Power Technology Applications

Abstract A linear theory for a gyrotron backward-wave oscillator (gyro-BWO) is developed. The theory solves a reduced one-dimensional Maxwell-Vlasov equation in the form of a linear integro-differential equation using the Laplace transformation. The relative amplitudes among the waveguide modes and beam modes are completely determined and enable one to calculate gyro-BWO start-oscillation conditions. Using this analysis and including velocity spread effects, a design of a millimetre-wave gyro-BWO has been carried out based on the operating parameters of an existing electron gun. Tunability over a range of 86 GHz to 103 GHz is predicted with output power estimated to be ∼ 1 kW.