Abstract
We study the synchronization of oscillations in an active distributed system comprising a helical electron beam interacting with a backward wave in a waveguide (backward-wave cyclotron resonance maser). The characteristics of nonautonomous spatio-temporal oscillations in a system with different degrees of nonisochronism of oscillating electrons are examined. The physical processes accompanying the transition of a distributed self-oscillatory system to the synchronization mode are considered.
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REFERENCES
A. V. Gaponov, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 2, No. 3, 443 (1959).
A. V. Gaponov, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 2, No. 3, 547 (1961).
A. V. Gaponov, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 4, No. 3, 547 (1961).
V. K. Yulpatov, Vopr. Radioélektron., Ser. 1, Élektron., No. 12, 15 (1965).
V. K. Yulpatov, Vopr. Radioélektron., Ser. 1, Élektron., No 12, 24 (1965).
The Gyrotron (collected paper) [in Russian], IAP RAS Press, Gorky (1981).
V. L. Bratman, S. L. Novozhilov, and M. I. Petelin, Élektron. Tekh., Ser. 1, Élektron. SVCh, No. 11, 46 (1976).
K. R. Chu, Y. Y. Lau, L. R. Barnett, and V. L. Granatstein, IEEE Trans. Electron. Dev., 28, No. 7, 866 (1981).
Z. G. Chen and H. Döring, Int. J. Infrared MM Waves, 5, No. 5, 691 (1984).
K. L. Felch, B. G. Danly, H. R. Jory, K. E. Kreischer, W. Lawsom, B. Levush, and R. J. Temkin, Proc. IEEE, 87, No. 5, 752 (1999).
C. S. Kou, S. H. Chen, L. R. Barnett, H. Y. Chen, and K. R. Chu, Phys. Rev. Lett., 70, No. 7, 924 (1993).
K. R. Chu, H. Y. Chen, C. L. Hung, T. H. Chang, J. R. Barnett, S. H. Chen, and T. T. Yang, Phys. Rev. Lett., 81, No. 21, 4760 (1998).
G. S. Nusinovich, A. N. Vlasov, and T. M. Antonsen, Phys. Rev. Lett., 87, No. 21, Article number 218301 (2001).
N. F. Rulkov, M. M. Sushchik, and L. S. Tsimring, Phys. Rev. E, 51, No. 2, 980 (1995).
L. M. Pecora, T. L. Carroll, G. A. Jonson, and D. J. Mar, Chaos, 7, No. 4, 520 (1997).
V. S. Afraimovich, V. I. Nekorkin, G. V. Osipov, and V. D. Shalfeev, in: A. V. Gaponov-Grekhov and M. I. Rabinovich (eds.), Stability, Structures, and Chaos in Nonlinear Synchronization Networks [in Russian], Inst.Appl.Phys. Press, Gorky (1989).
A. A. Alekseev and V. D. Shalfeev, Radophys. Quantum Electron., 36, No. 8, 549 (1993).
V. I. Kanavets, Vestn. MGU, Ser. 3, No. 2, 32 (1961).
Wong M. J., Sims G. D., Stephenson I. M. J. Electron. Contr., 11, No. 6, 684 (1961).
G. P. Rapoport, Radiotekh. Élektron., 9, No. 1, 118 (1964).
E. E. Zhelezovsky and É. V. Kal'yanov, Vopr. Radioélektron., Ser. Élektron., No. 4. 44 (1965).
A. M. Kats, Élektron. Tekh., Ser. Élektron. SVCh, 5, 37 (1966).
V. A. Solntsev, Élektron. Tekh., Ser. Élektron. SVCh, 9, 30 (1966).
V. P. Grigor'yev, A. G. Zherlitsyn, T. V. Koval', S. I. Kuznetsov, and G. V. Mel'nikov, Pis'ma Zh. Tekh. Fiz., 14, 2 164 (1988).
W. Woo, J. Benford, D. Fittingo., B. Harteneck, D. Price, R. Smith, and H. Sze, J. Appl. Phys., 65, No. 2, 861 (1989).
A. E. Khramov, Radiotekh. Élektron., 44, No. 2, 211 (1999).
A. Yu. Dmitriev, D. I. Trubetskov, and A. P. Chetverikov, Radophys. Quantum Electron., 34, No. 9, 502 (1991).
S. P. Kuznetsov and D. I. Trubetskov, Electronics of Backward-Wave Tubes [in Russian], Saratov Univ. Press, Saratov (1975), p. 135.
D. I. Trubetskov and A. P. Chetverikov, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din., 2, No. 5, 3 (1994).
A. Yu. Dmitriev, A. E. Konevets, L. A. Pishchik, D. I. Trubetskov, and A. P. Chetverikov, Lectures in Microwave Electronics in Radiophysics, Proc. 7th Winter Workshop of Engineers [in Russian], Saratov Univ. Press, Saratov (1986), p. 61.
F. Takens, in: R A. Rand and L. S. Young (eds.), Dynamical Systems and Turbulence, Lecture Notes in Math., Springer-Verlag, Warwick (1980), p. 366.
P. Grassberger and J. Procaccia, Phys. Rev. Lett., 50, 346 (1983).
A. A. Kipchatov, Pis'ma Zh. Tekh. Fiz., 21, No. 15, 90 (1995).
M. I. Rabinovich and D. I. Trubetskov, Introduction to the Theory of Oscillations and Waves [in Russian], Nauka, Moscow (1988).
Yu, P. Bliokh, A. V. Borodkin, A. G. Lyubarsky, N. M. Onishchenko, and Ya. B. Fainberg, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din., 1, Nos. 1-2, 34 (1993).
N. M. Ryskin and V. N. Titov, Radophys. Quantum Electron., 42, No 6, 500 (1999).
T. V. Dmitrieva, N. M. Ryskin, V. N. Titov, and A. M. Shigaev, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din., 7, No. 6, 66 (1999).
S. P. Kuznetsov, Radophys. Quantum Electron., 25, 996 (1982)..
N. S. Ginzburg, S. P. Kuznetsov, and T. N. Fedoseeva, Radophys. Quantum Electron., 21, No 7, 728 (1978).
V. G. Anfinogentov and A. E. Khramov, Radophys. Quantum Electron., 41, No. 9, 764 (1998).
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Koronovsky, A.A., Trubetskov, D.I. & Khramov, A.E. Influence of an External Signal on Self-Oscillations in the Distributed System “Helical Electron Beam—Backward Electromagnetic Wave”. Radiophysics and Quantum Electronics 45, 706–724 (2002). https://doi.org/10.1023/A:1021797418844
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DOI: https://doi.org/10.1023/A:1021797418844