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Relationship Between the Parameters of the Linear and Nonlinear Wave Generation Stages in a Magnetospheric Cyclotron Maser in the Backward-Wave Oscillator Regime

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Radiophysics and Quantum Electronics Aims and scope

By using numerical simulations we generalize certain relationships between the parameters of quasimonochromatic whistler-mode waves generated at the linear and nonlinear stages of the cyclotron instability in the backward-wave oscillator regime. One of these relationships is between the wave amplitude at the nonlinear stage and the linear growth rate of the cyclotron instability. It was obtained analytically by V.Yu.Trakhtengerts (1984) for a uniform medium under the assumption of constant frequency and amplitude of the generated wave. We show that a similar relationship also holds for the signals generated in a nonuniform magnetic field and having a discrete structure in the form of short wave packets (elements) with fast frequency drift inside each element. We also generalize the formula for the linear growth rate of absolute cyclotron instability in a nonuniform medium and analyze the relationship between the frequency drift rate in the discrete elements and the wave amplitude. These relationships are important for analyzing the links between the parameters of chorus emissions in the Earth’s and planetary magnetospheres and the characteristics of the energetic charged particles generating these signals.

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Authors and Affiliations

  1. Polar Geophysical Institute, Apatity, Russia

    A. G. Demekhov

  2. Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod, Russia

    A. G. Demekhov

Authors
  1. A. G. Demekhov
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Correspondence to A. G. Demekhov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 59, No. 10, pp. 863–872, October 2016.

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Demekhov, A.G. Relationship Between the Parameters of the Linear and Nonlinear Wave Generation Stages in a Magnetospheric Cyclotron Maser in the Backward-Wave Oscillator Regime. Radiophys Quantum El 59, 773–781 (2017). https://doi.org/10.1007/s11141-017-9746-6

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  • DOI: https://doi.org/10.1007/s11141-017-9746-6

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