ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Grigorieva N. V. Study of gyrotron synchronization by an external harmonic signal based on a modified quasi-linear theory. Izvestiya VUZ. Applied Nonlinear Dynamics, 2021, vol. 29, iss. 6, pp. 905-914. DOI: 10.18500/0869-6632-2021-29-6-905-914

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Study of gyrotron synchronization by an external harmonic signal based on a modified quasi-linear theory

Grigorieva Nataliia Vadimovna, Saratov State University

Topic. The paper is devoted to the study of synchronization of a gyrotron by an external harmonic signal. A theoretical study of gyrotron synchronization processes by means of a computational experiment based on certain traditional models of microwave electronics does not provide a complete description of the synchronization pattern. Therefore, the goal of the paper is to develop a modified quasi-linear model based on an approximation of the electron susceptibility by rational functions. Methods. The developed model allows for bifurcation analysis of synchronization processes. On its basis, stationary states are determined and their stability analysis is carried out. The results are in good agreement with numerical simulation based on the non-stationary theory of a gyrotron with a fixed Gaussian high-frequency field structure. Results and discussion. Resonance curves and synchronization bounds are built on the plane of parameters “amplitude – frequency of external signal”. The case where the gyrotron is in the hard excitation mode is considered, since the maximum efficiency is usually achieved in the hard excitation mode. In general, the results are in qualitative agreement with the picture described earlier for a simpler quasi-linear model of a oscillator with hard excitation, in the case of a sufficiently strong phase nonlinearity.

This work is supported by the Russian Science Foundation (project No. 19-79-00307). The author thanks his scientific advisor N. M. Ryskin for all-round support and attention to this work
  1. Pikovsky A, Rosenblum M, Kurths J. Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge: Cambridge University Press; 2001. 411 p. DOI: 10.1017/CBO9780511755743.
  2. Nusinovich GS. Introduction to the Physics of Gyrotrons. Baltimore: Johns Hopkins University Press; 2004. 352 p. DOI: 10.1353/book.62236.
  3. Thumm M. Recent advances in the worldwide fusion gyrotron development. IEEE Trans. Plasma Sci. 2014;42(3):590–599. DOI: 10.1109/TPS.2013.2284026.
  4. Novozhilova JV, Denisov GG, Glyavin MY, Ryskin NM, Bakunin VL, Bogdashov AA, Melnikova MM, Fokin AP. Gyrotron frequency stabilization under the influence of external monochromatic signal or wave reflected from the load: review. Izvestiya VUZ. Applied Nonlinear Dynamics. 2017;25(1):4–34 (in Russian). DOI: 10.18500/0869-6632-2017-25-1-5-34.
  5. Bakunin VL, Denisov GG, Novozhilova YV, Fokin AP. Mode competition effect on frequency locking of a multimode gyrotron by a monochromatic external signal. Radiophysics and Quantum Electronics. 2017;59(8–9):638–647. DOI: 10.1007/s11141-017-9730-1.
  6. Grigorieva NV, Ryskin NM, Denisov GG, Novozhilova YV, Glyavin MY, Bakunin VL. Dynamics of multimode processes at the leading edge of the accelerating-voltage pulse in a gyrotron driven by an external signal. Radiophysics and Quantum Electronics. 2020;63(5–6):381–391. DOI: 10.1007/s11141-021-10063-1.
  7. Bakunin VL, Denisov GG, Novozhilova YV. Principal enhancement of THz-range gyrotron parameters using injection locking. IEEE Electron Device Lett. 2020;41(5):777–780. DOI: 10.1109/LED.2020.2980218.
  8. Bakunin VL, Guznov YA, Denisov GG, Zaitsev NI, Zapevalov SA, Kuftin AN, Novozhilova YV, Fokin AP, Chirkov AV, Shevchenko AS. An experimental study of the influence of an external signal on the generation mode of a megawatt-power gyrotron. Tech. Phys. Lett. 2018;44(6): 473–475. DOI: 10.1134/S1063785018060020.
  9. Bakunin VL, Guznov YM, Denisov GG, Zaitsev NI, Zapevalov SA, Kuftin AN, Novozhilova YV, Fokin AP, Chirkov AV, Shevchenko AS. An experimental study of the external-signal influence on the oscillation regime of a megawatt gyrotron. Radiophysics and Quantum Electronics. 2019; 62(7–8):481–489. DOI: 10.1007/s11141-020-09994-y.
  10. Moiseev MA, Nusinovich GS. Concerning the theory of multimode oscillation in a gyromonotron. Radiophysics and Quantum Electronics. 1974;17(11):1305–1311. DOI: 10.1007/BF01042032.
  11. Adilova AB, Ryskin NM. Study of synchronization in the system of two delay-coupled gyrotrons using a modified quasilinear model. Izvestiya VUZ. Applied Nonlinear Dynamics. 2018;26(6): 68–81 (in Russian). DOI: 10.18500/0869-6632-2018-26-6-68-81.
  12. Ergakov VS, Moiseev MA, Khizhniak VI. Theory of MCR monotron synchronization. Radio Engineering and Electronic Physics. 1978;23(12):92–98.
  13. Trubetskov DI, Rozhnev AG. Linear Oscillations and Waves. Moscow: FIZMATLIT; 2001. 416 p. (in Russian).
  14. Kuznetsov AP, Kuznetsov SP, Ryskin NM. Nonlinear Oscillations. Moscow: FIZMATLIT; 2005. 292 p. (in Russian).
  15. Yakunina KA, Kuznetsov AP, Ryskin NM. Injection locking of an electronic maser in the hard excitation mode. Phys. Plasmas. 2015;22(11):113107. DOI: 10.1063/1.4935847.