A quasilinear theory is developed for free-electron lasers in which intense electron beams with a significant velocity dispersion are used to implement the kinetic regime of electron–wave interaction. Under the assumption that the field is stored in a high-Q cavity, stationary distributions of the spectral density of excited cavity modes are found for various levels of the excess of the beam current above the threshold. It is shown that, if the excess is large, the energy distribution of the electrons that exit the cavity includes a plateau with the width proportional to the generation spectrum width. Parameters are estimated for long pulse free-electron lasers that can be implemented on the basis of linear induction accelerators. It is shown that the energy of high-dispersion electron beams can be efficiently converted into broadband terahertz radiation.
Similar content being viewed by others
REFERENCES
P. V. Logachev, G. I. Kuznetsov, A. A. Korepanov, A. V. Akimov, S. V. Shiyankov, O. A. Pavlov, D. A. Starostenko, and G. A. Fat’kin, Instrum. Exp. Tech. 56, 672 (2013).
D. A. Nikiforov, M. F. Blinov, V. V. Fedorov, A. V. Petrenko, P. V. Logachev, P. A. Bak, K. I. Zhivankov, A. V. Ivanov, A. A. Starostenko, O. A. Pavlov, G. I. Kuznetsov, M. A. Batazova, D. A. Starostenko, D. V. Petrov, O. A. Nikitin and A. R. Akhmetov, Phys. Part. Nucl. Lett. 17, 197 (2020).
N. Ginzburg, N. Peskov, A. Savilov, A. Sergeev, V. Zaslavsky, A. Arzhannikov, E. Sandalov, S. Sinitsky, D. Skovorodin, and A. Starostenko, in Proceedings of the 2020 IEEE International Conference on Plasma Science ICOPS (2020), TA2-S2-008.
Yu. S. Oparina, N. Yu. Peskov, and A. V. Savilov, Phys. Rev. Appl. 12, 044070 (2019).
G. R. Neil, C. L. Bohn, S. V. Benson, et al., Phys. Rev. Lett. 84, 662 (2000).
M. A. Dem’yanenko, D. G. Esaev, B. A. Knyazev, G. N. Kulipanov, and N. A. Vinokurov, Appl. Phys. Lett. 92, 131116 (2008).
G. M. Kazakevich, V. M. Pavlov, Y. U. Jeong, and B. C. Lee, Phys. Rev. ST Accel. Beams 12, 040701 (2009).
W. E. Drummond and D. Pines, Nucl. Fusion, Suppl. 3, 1049 (1962).
A. A. Vedenov, Sov. At. Energy 13, 591 (1963).
A. M. Dimos and R. C. Davidson, Phys. Fluids 28, 677 (1985).
W. P. Marable and P. A. Sprangle, J. Appl. Phys. 67, 3576 (1990).
N. A. Vinokurov, Z. Huang, O. A. Shevchenko, and K. J. Kim, Nucl. Instrum. Methods Phys. Res., Sect. A 475, 74 (2001).
O. A. Shevchenko and N. A. Vinokurov, Radiophys. Quantum Electron. 60, 37 (2017).
Z. Huang and K.-J. Kim, Phys. Rev. ST Accel. Beams 10, 034801 (2007).
N. S. Ginzburg and M. A. Shapiro, Opt. Commun. 40, 215 (1982).
N. S. Ginzburg and E. R. Kocharovskaya, Phys. Rev. ST Accel. Beams 19, 080701 (2016).
L. A. Vainshtein, Electromagnetic Waves (Radio Svyaz’, Moscow, 1988) [in Russian].
Funding
This work was supported by the Russian Science Foundation, project no. 19-12-00212.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by M. Shmatikov
Rights and permissions
About this article
Cite this article
Ginzburg, N.S., Kocharovskaya, E.R., Sergeev, A.S. et al. Generation Spectrum of Long-Pulse Free-Electron Terahertz Lasers: Quasilinear Theory. Jetp Lett. 113, 626–630 (2021). https://doi.org/10.1134/S0021364021100076
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364021100076