Contribution to the Theory of Parametric Generation
of Cyclotron Radiation

M. A. Erukhimova and M. D. Tokman*

Institute of Applied Physics, Russian Academy of Sciences, Nizhnii Novgorod, 603600 Russia
*e-mail: tokman@appl.sci.nnov.ru

Received November 23, 1999

Abstract—A linear theory of the cyclotron parametric instability in systems which are classical analogues of
quantum lasers without inversion is developed. The cyclotron interaction of different types of modulated elec-
tron beams with a bichromatic field, produced by waves propagating at an angle with respect to a constant mag-
netic field, is investigated. It is shown that simultaneous amplification of two parametrically coupled modes
with different frequencies and positive energy is possible in this system with modulation of the active and reac-
tive components of the susceptibility of an electronic ensemble. The results obtained are important from the
standpoint of the general theory of radiation processes in electron beams and plasma and for the advancement
of microwave electronics. © 2000 MAIK “Nauka/Interperiodica”.

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