Abstract

The linear theory of electrostatic electron cyclotron resonance maser (EECRM) is given in this paper. Starting from the fundamental concept, we obtained the perturbed equation of relativistic electron motion in an electrostatic centrifugal system, and the dispersion equation for both TEmn and TMmn modes of the EECRM have been derived with detailed discussion for the infinitely thin beam layer. The nonrelativistic case has also been studied. Digital calculations show that the dispersion curves of the EECRM are similar in shape to that of the conventional electron cyclotron resonance maser (MECRM) and the magnitude of growth rate of the EECRM is comparable with that of MECRM. Although the dispersion equation of EECRM contains a special kind of singularity [ω−k∥v∥−(m±(2−β2⊥)1/2) ω0 =0], the relevant instability within the parameter region of our calculations in this paper has not yet been found; this problem remains to be studied in the future.

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