Abstract
We present the results of numerical simulations of the nonlinear dynamics of a traveling-wave-tube (TWT) oscillator with delayed feedback. Basic properties of stationary single-frequency oscillation regimes are considered, and the onset of self-modulation is studied in detail. Various route-to-chaos scenarios corresponding to successively increasing values of the beam current are simulated numerically. It is shown that the basic scenario is a quasi-periodic route to chaos, while the beam deceleration in strongly nonlinear regimes causes transitions via intermittency to regimes based on modes with higher frequencies. Competition between these two scenarios leads to a complex picture of regular and chaotic self-modulation regimes in the parameter space. Such a behavior is typical of distributed electron–wave self-excited oscillators with delayed feedback.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
V.Ya. Kislov, N. N. Zalogin, and E.A. Myasin, Radio Eng. Electron. Phys., 24, No. 6, 92 (1979).
V.Ya. Kislov, Radio Eng. Electron. Phys., 25, No. 8, 78 (1980).
V.Ya. Kislov, E. A. Myasin, and N. N. Zalogin, Radiotekh. Élektron., 25, No. 10, 2160 (1980).
V. I. Kalinin, N.N. Zalogin, and V.Ya. Kislov, Radiotekh. Élektron., 28, No. 10, 2001 (1983).
Yu.V. Anisimova, A. S. Dmitriev, N. N. Zalogin, et al., Sov. Phys. JETP Lett., 37, No. 8, 458 (1983).
V. A. Kats and D. I. Trubetskov, Sov. Phys. JETP Lett., 39, No. 3, 137 (1984).
V. A. Kats, Radiophys. Quantum Electron., 28, No. 2, 107 (1985).
Yu.P. Bliokh, A.V. Borodkin, M. G. Lyubarsky, et al., Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din., 1, Nos. 1-2, 34 (1993).
Yu.P. Bliokh, M.G. Lyubarsky, V.O. Podobinsky, and Ya. B. Fainberg, Plasma Phys. Rep., 20, No. 8, 648 (1994).
S. Bhattacharjee, C. L. Kory, W.-J. Lee, et al., in: Proc. Third IEEE Int. Vacuum Electronics Conf., April 23-25, 2002 Monterey, California, USA, p. 26.
S.-T. Han, J.-I. Kim, and G.-S. Park, in: Third IEEE Int. Vacuum Electronics Conf., April 23-25, 2002. Monterey, California, USA, p. 94.
V.N. Shevchik and D. I. Trubetskov, Analytical Methods of Calculation in Microwave Electronics, Sovetskoe Radio, Moscow (1971).
N. M. Ryskin and V.N. Titov, Radiophys. Quantum Electron., 44, No. 10, 793 (2001).
L. V. Bulgakova and S.P. Kuznetsov, Radiophys. Quantum Electron., 31, No. 2, 155 (1988).
L. V. Bulgakova and S.P. Kuznetsov, Radiophys. Quantum Electron., 31, No. 5, 452 (1988).
I.A. Man'kin and V.G. Shkol'nikov, Radiotekh. Élektron., 29, No. 2, 307 (1984).
N. S. Ginzburg and A. S. Sergeev, Zh. Tekh. Fiz., 61, No. 6, 133 (1991).
V. L. Bratman and A. V. Savilov, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din., 2, No. 6, 27 (1994).
A. V. Savilov, V. L. Bratman, G. G. Denisov, et al., Phys. Plasmas, 8, No. 2, 638 (2001).
N. S. Ginzburg, S.P. Kuznetsov, and T.N. Fedoseeva, Radiophys. Quantum Electron., 21, No. 7, 728 (1978).
N. S. Ginzburg and M. I. Petelin, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din., 2, No. 6, 3 (1994).
B. S. Dmitriev, Yu. D. Zharkov, K.K. Kizhaeva, et al., Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din., 10, No. 5, 37 (2002).
T. V. Dmitrieva and N. M. Ryskin, JETP, 93, No. 6, 1314 (2001).
N. M. Ryskin and A.M. Shigaev, Tech. Phys., 47, No. 7, 795 (2002).
N. I. Aizatsky, Zh. Tekh. Fiz., 57, No. 8, 1671 (1987).
N. M. Ryskin, V.N. Titov, and D. I. Trubetskov, Doklady Physics, 43, No. 2, 90 (1998).
N. M. Ryskin and V.N. Titov, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din., 6, No. 1, 75 (1998).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ryskin, N.M. Study of the Nonlinear Dynamics of a Traveling-Wave-Tube Oscillator with Delayed Feedback. Radiophysics and Quantum Electronics 47, 116–128 (2004). https://doi.org/10.1023/B:RAQE.0000035693.16782.94
Issue Date:
DOI: https://doi.org/10.1023/B:RAQE.0000035693.16782.94