On The Features of Open Magnetoactive Waveguides Excitation
Abstract
It is shown that in the volume of an open waveguide, each electron – oscillator rotating in a constant magnetic field is capable of generating a TE wave, for which this waveguide is transparent. The generation efficiency is determined by the rate of electron injection and their longitudinal velocity along the waveguide axis. The field generation mode near the cutoff frequency with a low group velocity comparable with the longitudinal velocity of the injected electrons is selected. In this case, the transverse velocity of the electrons significantly exceeds their longitudinal velocity and the group velocity of the wave. In the absence of field reflection from the waveguide ends, each electron makes its contribution to the total radiation field, i.e. it can be considered that the field generation occurs in the superradiance mode. It is shown that the total field of the electron flow is capable of forming a resonator field consisting of two waves propagating towards each other due to even partial reflections from the waveguide ends. With a small reflection of the fields from the ends and a small drift velocity of the rotating electrons, the superradiance mode dominates, similar to the case of excitation of a completely open waveguide. In the case of a noticeable reflection of the fields from the ends of the system at a relatively high velocity of their longitudinal injection, the reflected fields significantly exceed the total field of the emitters and the traditional mode of waveguide resonator field generation is formed. The zones where either resonator field generation or generation under superradiance conditions dominate are presented on the plane "longitudinal motion velocity – reflection coefficient". Two cases are considered: when reflected waves are formed only due to reflection from the ends, and also when the effect of rotating electrons on reflected waves in the waveguide volume is taken into account. It is essential that the average amplitude of the total particle radiation field changes slightly for all considered generation modes. Resonance effects during reflection from the ends lead to a significant increase in the amplitude of the waveguide – resonator field.
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References
J.W. Lord Rayleigh, “On Electrical Vibrations and the Constitution of the Atom,” Philoso phical magazine, Volume 6th ser. 11, 117–122 (1906).
A.V. Gaponov, M.I. Petelin, and V.K. Yulpatov, “The induced radiation of excited classical oscillators and its use in high-frequency electronics,” Sov. Radiophysics and Quantum Electronics, 10, 794–813 (1967).
Ya.B. Fainberg, “Plasma electronics,” Uкr. Phis, J. 23(11), 1885–1901 (1978).
A.I. Akhiezer, I.A. Akhiezer, R.V. Polovin, A.G. Sitenko, and K.N. Stepanov, Plasma Electrodynamics, Linear Theory, vol. 1, (Pergamon Press, Oxford-New York, 1975) (International Series of Monographs in Natural Philosophy, vol.68).
A.I. Akhiezer, I.A. Akhiezer, R.V. Polovin, A.G. Sitenko, and K.N. Stepanov, Plasma Electrodynamics, Nonlinear theory and fluctuations, vol. 2, (Pergamon Press, Oxford-New York, 1975) (International Series of Monographs in Natural Philosophy, vol. 69).
V.A. Buts, A.N. Lebedev, and V.I. Kurilko, The Theory of Coherent Radiation by Intense Electron Beams, (Springer Berlin Heidelberg New York, 2006).
V.A. Balakirev, N.I. Karbushev, A.O. Ostrovsky, and Yu.V. Tkach, Theory of Cherenkov's Amplifiers and Generators on Relativistic Beams, (Naukova Dumka, Kyiv, 1993).
J. Weiland, and H. Wilhelmsson, Coherent non-linear interaction of waves in plasmas, (Pergamon Press, 1977).
A. Dattner, “Resonance densities in a cylindrical plasma column,” Phys. Rev. Lett. 10, 205 (1963). https://doi.org/10.1103/PhysRevLett.10.205
A. Nordsieck, “Theory of large signal behavior of travelingwave amplifiers,” Proc. IRE, 41(5), 630–631 (1953).
V.A. Buts, “Stabilization of classic and quantum systems,” PAST, roblems of atomik science and technology, 6(82), 146–148 (2012). https://vant.kipt.kharkov.ua/ARTICLE/VANT_2012_6/article_2012_6_146.pdf
G.M. Zaslavsky, “Chaos, fractional kinetics, and anomalous transport,” Phys. Rep. (371), 461-580 (2002). https://doi.org/10.1016/S0370-1573(02)00331-9
E.V. Poklonskiy, et al., “On the development of super-radiation in noise condition,” PAST, 3(151), 84-86 (2024). https://doi.org/10.46813/2024-151-084
E.V. Poklonskiy, et al., “On the wave generation in a magnetoactive waveguide,” PAST, 5(153), 87-91 (2024). https://doi.org/10.46813/2024-153-087
V.M. Kuklin, “The latest developments of the our Scientific Group of Kharkov University,” PhysicalScience& Biophysics Journal (PSBJ) USA, 6(2), (2022). https://doi.org/10.23880/psbj-16000218
A.B. Kitsenko, and I.M. Pankratov, “Nonlinear stage of interaction of a flow of charged particles with plasma in a magnetic field,” Sov. Plasma Physics, 4(1), 227–234 (1978).
V.M. Kuklin, Selected chapters (theoretical physics), (V.N. Karazin KhNU, Kharkiv, 2021). http://dspace.univer.kharkov.ua/handle/123456789/16359
A.G. Zagorodniy, P.I. Fomin, and A.P. Fomina, “Superradiation of electrons in a magnetic field and a nonrelativistic gyrotron,” NAS of Ukraine, (4), 75–80 (2004).
P.I. Fomin, and A.P. Fomina, “Dicke Superradiance on Landau Levels,” PAST, (6), 45-48 (2001). https://vant.kipt.kharkov.ua/ARTICLE/VANT_2001_6/article_2001_6_45.pdf
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