Abstract
We study self-modulation and chaotic regimes of generation in a relativistic backward-wave oscillator in the presence of reflections of radiation from the boundaries of a slow-wave structure. The onset of self-modulation is examined in detail in the cases of weak and strong reflections. A numerical simulation of transition-to-chaos scenarios is performed over a wide range of parameters. The relation of bifurcation transitions between different regimes to the formation of spatio-temporal structures in the electron beam is discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
N. S. Ginzburg and S. P. Kuznetsov, Relativistic High-Frequency Electronics. Problems of Increasing Radiation Power and Frequency [in Russian], IAP RAS Press, Nizhny Novgorod (1981), p. 101.
N. S. Ginzburg and M. I. Petelin, Int. J. Electron., 59, No. 3, 291 (1985).
N. S. Ginzburg and M. I. Petelin, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Dinam., 2, No. 6, 3 (1994).
D. I. Trubetskov and A. P. Chetverikov, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Dinam., 2, No. 5, 9 (1994).
E. V. Ilyakov, G. S. Korablyov, I. S. Kulagin, and N. I. Zaitsev, IEEE Trans. Plasma Sci., 26, No. 3, 332 (1998).
N. S. Ginzburg, N. I. Zaitsev, E. V. Ilyakov, I. S. Kulagin, Yu. V. Novozhilova, A. S. Sergeev, and A. K. Tkachenko, Pis'ma Zh. Tekh. Fiz., 24, No. 20, 66 (1998).
N. S. Ginzburg, N. I. Zaitsev, E. V. Ilyakov, I. S. Kulagin, Yu. V. Novozhilova, and A. S. Sergeev, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Dinam., 7, No. 5, 60 (1999).
S. D. Korovin, S. D. Polevin, A. M. Roitman, and V. V. Rostov, Izv. Vyssh. Uchebn. Zaved., Fiz., 39, No. 12, 49 (1996).
R. Sh. Amirov, B. P. Bezruchko, V. A. Isaev, and A. P. Chetverikov, Lectures in Microwave Electronics and Radiophysics (The Sixth Winter Workshop for Engineers). Book 2 [in Russian], Saratov Univ. Press, Saratov (1983), p. 90.
B. Levush, T. M. Antonsen, A. Bromborsky, Q. R. Lou, and Y. Carmel, IEEE Trans. Plasma Sci., 20, No. 3, 263 (1992).
B. Levush, T. M. Antonsen, A. Bromborsky, W. R. Lou, and Y. Carmel, Phys. Fluids B, 4, No. 7, 2293 (1992).
S. P. Kuznetsov, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 25, No. 12, 410 (1982).
Yu. P. Bliokh, A. V. Borodkin, M. G. Lyubarsky, I. N. Onishchenko, and Ya. B. Fainberg, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Dinam., 1, Nos. 1—2, 34 (1993).
Yu. P. Bliokh, M. G. Lyubarsky. V. O. Podobinsky, and Ya. B. Fainberg, Fiz. Plazmy, 20, Nos. 7—8, 718 (1994).
T. M. Antonsen and B. Levush, Phys. Fluids B, 1, No. 5, 1097 (1989).
N. M. Ryskin, V. N. Titov, and D. I. Trubetskov, Dokl. Akad. Nauk, 358, No. 5, 620 (1998).
N. M. Ryskin and V. N. Titov, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Dinam., 6, No. 1, 75 (1998).
N. M. Ryskin and V. N. Titov, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 42, No. 6, 566 (1999).
D. I. Trubetskov, V. G. Anfinogentov, N. M. Ryskin. V. N. Titov, and A. E. Khramov, Radiotekhnika, No. 4, 61 (1999).
N. M. Ryskin and V. N. Titov, J. Comm. Tech. Electron. Suppl., 45, No. 1, 46 (2000).
V. N. Shevchik and D. I. Trubetskov, Analytical Methods of Calculation in Microwave Electronics [in Russian], Sovetskoe Radio, Moscow (1971).
V. N. Shevchik and D. I. Trubetskov, eds., Backward-Wave Tube Electronics [in Russian], Saratov Univ. Press, Saratov (1975).
N. S. Ginzburg and A. S. Sergeev, Zh. Tekh. Fiz., 61, No. 6, 133 (1991).
B. Levush and T. M. Antonsen, Nucl. Instrum. Meth. Phys. Res. A, 272, Nos. 1—2, 375 (1988).
B. Levush and T. M. Antonsen, SPIE, Vol. 1 061, Microwave and Particle Beam Sources and Directed Energy Concepts (1989), p. 2.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ryskin, N.M., Titov, V.N. Self-Modulation and Chaotic Regimes of Generation in a Relativistic Backward-Wave Oscillator with End Reflections. Radiophysics and Quantum Electronics 44, 793–806 (2001). https://doi.org/10.1023/A:1013717032173
Issue Date:
DOI: https://doi.org/10.1023/A:1013717032173