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

For citation:

Kuznetsov A. P., Shirokov A. P. Complex dynamics of two-mode low-dimension model of free electron laser. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 1, pp. 3-11. DOI: 10.18500/0869-6632-1999-7-1-3-11

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.385.633
DOI: 
10.18500/0869-6632-1999-7-1-3-11

Complex dynamics of two-mode low-dimension model of free electron laser

Autors: 
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Shirokov Andrei Petrovich, Saratov State University
Abstract: 

The results of numeric investigation of а low-dimension two-mode model, describing approximately scenario of transition to the multi-frequency regime in the free electron laser with а low-Q microwave system are presented. The qualitatively different mechanisms of stability loss of а one-frequency generation are revealed. The topographies of dynamical regimes and Lyapunov’s exponents on a parameter plane: transmission coefficient — dimensionless space interaction length are presented.

Key words: 
-
Acknowledgments: 
The authors are grateful to S.P. Kuznetsov and D.I. Trubetskov for useful discussion and attention to the work. The work was supported by the RFBR №96-15-96536 и 96-15-96921.
Reference: 
  1. Bogomolov YaL, Bratman VL, Ginzburg NS, Petelin MI, Yunakovsky AD. Nonstationary generation in free electron lasers. Optics Commun. 1981;36(3):209-212. DOI: 10.1016/0030-4018(81)90359-X.
  2. Ginzburg NS, Petelin МI, Shapiro MA. Automodulation and stochastic oscillation regimes in resonant relativistic electron masers. In: Рrос. of 10th Europian Conference on Controlled Fusion and Plasma Physics. Vol. 1. 14-19 September 1981, Moscow, Russia. Bern: European Physical Society; 1982. P. M2.
  3. Ginzburg NS, Kuznetsov SP. Periodic and stochastic automodulation modes in distributed electronic generators. In: Relativistic High-Frequency Electronics. Vol.2. Gorky: IAP RAS Publishing; 1981. P.101-144. (in Russian).
  4. Ginzburg NS, Petelin МI. Multyfrequency generation in free-electron lasers with quasi—optical resonator. Int. J. Electronics. 1985;59(3):291-314. DOI: 10.1080/00207218508920701.
  5. Antonsen TM(Jr), Levush В. Mode competition and suppression in free electron laser oscillators. Phys. Fluids В. 1989;1(5):1097-1108. DOI: 10.1063/1.858980.
  6. Ginzburg NS, Sergeev AS. Dynamics of FEL generators with arbitrary Q factor resonators. Tech. Phys. 1991;61(6):133-140. (in Russian).
  7. Bliokh YuP, Borodkin AV, Lubarskii MG, Onishchenko IN, Fainberg YaB. Application of the functional mapping method to study the TWT generator with delaying feedback. Izvestiya VUZ. Applied Nonlinear Dynamics. 1993;1(1-2):34-49. (in Russian).
  8. Bratman VL, Savilov AV. Scenario of transition to multi-frequency mode in a FEL generator with a low-Q electrodynamic system. Izvestiya VUZ. Applied Nonlinear Dynamics. 1994;2(6):27-38. (in Russian).
  9. Kuznetsov AP, Shirokov AP. Discrete model of a relativistic backward wave tube. Izvestiya VUZ. Applied Nonlinear Dynamics. 1997;5(6):76-84. (in Russian).
Received: 
21.12.1998
Accepted: 
16.03.1999
Published: 
28.05.1999
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