On Accounting for Own Fields of Emitters when Describing Generation Modes

Keywords: Ensemble of oscillators, Resonator field, Sum of oscillators eigenfields, Resonator field excitation mode, Superradiance excitation mode

Abstract

The paper discusses three different modes of electromagnetic field generation by an ensemble of oscillators placed at the radiation wavelength in the one-dimensional case. The excitation of the resonator field is considered, which, as a rule, is determined by the geometry of the system, with and without taking into account the eigenfields of the emitters. The superradiance regime of the same ensemble of oscillators is also analyzed. In fact, superradiance is formed due to the emitters' own fields even in the absence of a resonator. It is noted that the maximum achievable amplitudes of induced fields both in the superradiance regime and in the regime of excitation of the resonator field are comparable. This makes us think about the role of the self-fields of emitters in electronic devices. It is shown that in describing the resonator excitation mode, in addition to the resonator field, it is also necessary to take into account the sum of the natural fields of the emitters in the active zone. Synchronization of emitters leads not only to an increase in the resonator field, but also, as in the superradiance regime, it significantly increases the amplitude of the sum of the oscillator fields. It is shown that in the practically interesting case of open systems (dissipative generation modes), taking into account the eigenfields of the emitters significantly reduces the characteristic time for the development of the generation process and increases the maximum achievable oscillation amplitude. This account also changes the conditions for achieving the maximum energy flow from the system. This can change the operating point of the generation process, which is determined by the requirement for the maximum rate of energy output from the system.

Downloads

Download data is not yet available.

References

A. NordSieck, “Theory of large Signal Behavior of Travelingwave amplifiers,” Proc. IRE, 41(5), 630-631 (1953). https://doi.org/10.1109/JRPROC.1953.274404

V.D. Shapiro, and V.I. Shevchenko, “Interaction of a wave-part in nonequilibrium media,” Radiophysics and Quantum Electronics, 19, 543-560 (1976). https://link.springer.com/article/10.1007/BF01034470

A.N. Kondratenko, and V.M. Kuklin, Fundamentals of plasma electronics, (Energoatomizdat, Moscow, 1988). https://www.researchgate.net/publication/367500092_Osnovy_Plazmennoj_Elektroniki

R.J. Briggs, Electron-Stream Intection with Plasmas, (MIT Press, Cambridge, 1964).

V.U. Abramovich, and V.I. Shevchenko, “Nonlinear Theory of Dissipative Instability of a Relativistic Beam in a Plasma” Soviet physics JETP, 35(4), 730-732 (1972). http://www.jetp.ras.ru/cgi-bin/dn/e_035_04_0730.pdf

A.N. Kondratenko, V.M. Kuklin, and V.I. Tkachenko, “Nonlinear theory of fuel instability in the collision plasma,” Izv. Universities. Radiophysics, 21(10), 1535-1537 (1978). https://radiophysics.unn.ru/sites/default/files/papers/1978_10_1535.pdf

A.G. Zagorodniy, A.V. Kirichok, V.M. Kuklin, and A.V. Priymak, “Modulation of the integral field of multi-muddy beams in plasma,” East Eur. J. Phys. 1(2), 53-66 (2014). https://periodicals.karazin.ua/eejp/article/view/129/40. (in Russian)

V.L. Ginzburg, “Radiation of evenly moving sources (Vavilov-Cherenkov effect, transitional radiation and some other phenomena),” UFN, 166(10), 1033-1042 (1996). http://elibrary.lt/resursai/Uzsienio%20leidiniai/Uspechi_Fiz_Nauk/1996/10/r9610a.pdf. (in Russian)

V.M. Kuklin, “On the Nature of Coherens in the System of Oscillators,” PAST, 4, 91-95 (2019). https://vant.kipt.kharkov.ua/ARTICLE/VANT_2019_4/article_2019_4_91.pdf

R.N. Dicke, “Coherence in Spontaneous Radiation Processes,” Physical Review, 93(1), 99-110 (1954). https://doi.org/10.1103/PhysRev.93.99

V.M. Kuklin, D.N. Litvinov, S.M. Sevidov, and V.E. Sporov, “Simulation of Synchronization of Nonlinear Oscillators by the External Field,” East Eur. J. Phys. 4(1), 75-84 (2017). https://periodicals.karazin.ua/eejp/article/view/8561

Kuklin V.M., D.N. Litvinov, and V.E. Sporov, “Superradiance of Stationary Oscillators,” PAST, 4(116), 217-220 (2018). https://vant.kipt.kharkov.ua/ARTICLE/VANT_2018_4/article_2018_4_217.pdf

V.M. Kuklin, and E.V. Poklonskiy, “Dissipative Instabilites and Superradiation Regimes (Classic Models),” PAST, 4(134), 138-143 (2021). https://vant.kipt.kharkov.ua/ARTICLE/VANT_2021_4/article_2021_4_138.pdf

V.M. Kuklin, Selected Chapters (Theoretical Physics), (V.N. Karazin Kharkiv National University publishing, Kharkiv, 2021). http://dspace.univer.kharkov.ua/handle/123456789/16359

A.N. Didenko, V.P. Grigoryev, and Yu.P. Usov, Powerful electronic beams and their use, (Atomizdat, Moscow, 1977). (in Russian)

M.V. Kuzelev, and A.A. Rukhadze, Electrodynamics of dense electron beams in plasma, (Nauka, Moscow, 1990).

Published
2023-06-02
Cited
How to Cite
Kuklin, V. M., & Poklonskiy, E. V. (2023). On Accounting for Own Fields of Emitters when Describing Generation Modes. East European Journal of Physics, (2), 124-131. https://doi.org/10.26565/2312-4334-2023-2-11