Abstract
A self-consistent system of equations (known as single-mode gyrotron equations) is extended to describe the beam-wave interaction in a cylindrical gyrotron cavity with mode-converting longitudinal corrugations, which produce coupling of azimuthal basis modes. The system of equations is applied to investigate the effect of corrugations on starting currents of the cavity modes. For these modes, eigenvalues, ohmic losses, field structure, and beam-wave coupling coefficients are investigated with respect to the corrugation parameters. It is shown that properly sized mode-converting corrugations are capable of improving the selectivity properties of cylindrical cavities for second-harmonic gyrotrons.
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References
E.A. Nanni, A.B. Barnes, R.G. Griffin, R.J. Temkin, IEEE Trans. Terahertz Sci. Technol. (2011) https://doi.org/10.1109/TTHZ.2011.2159546
M.Y. Glyavin, T. Idehara, S.P. Sabchevski, IEEE Trans. THz Sci. Technol. (2015) https://doi.org/10.1109/TTHZ.2015.2442836
M.K. Hornstein, V.S. Bajaj, R.G. Griffin, K.E. Kreischer, I. Mastovsky, M.A. Shapiro, J.R. Sirigiri, R.J. Temkin, IEEE Trans. Electron Devices (2005) https://doi.org/10.1109/TED.2005.845818
V.L. Bratman, Yu.K. Kalynov, V.N. Manuilov, Phys. Rev. Lett. (2009) https://doi.org/10.1103/PhysRevLett.102.245101
Y.J. Huang, L.H. Yeh, K.R. Chu, Phys. Plasmas (2014) https://doi.org/10.1063/1.4900415
S.H. Kao, C.C. Chiu, K.R. Chu, Phys. Plasmas (2012) https://doi.org/10.1063/1.3684663
N.S. Ginzburg, M.Y. Glyavin, A.M. Malkin, V.N. Manuilov, R.M. Rozental, A.S. Sedov, A.S. Sergeev, V.Y. Zaslavsky, I.V. Zotova, T. Idehara, IEEE Trans. Plasma Sci. (2016) https://doi.org/10.1109/TPS.2016.2585307
V.I. Shcherbinin, V.I. Tkachenko, K.A. Avramidis, J. Jelonnek, IEEE Trans. Electron Devices (2019) https://doi.org/10.1109/TED.2019.2944647
V.I. Shcherbinin, Y.K. Moskvitina, K.A. Avramidis, J. Jelonnek, IEEE Trans. Electron Devices (2020) https://doi.org/10.1109/TED.2020.2996179
I.V. Bandurkin, A.P. Fokin, M.Y. Glyavin, A.G. Luchinin, I.V. Osharin, A.V. Savilov, IEEE Electron Device Lett. (2020) https://doi.org/10.1109/LED.2020.3010445
V.I. Shcherbinin, K.A. Avramidis, M. Thumm, J. Jelonnek, J. Infrared Millim. Terahertz Waves (2021) https://doi.org/10.1007/s10762-020-00760-9
La Agusu, T. Idehara, H. Mori, T. Saito, I. Ogawa, S. Mitsudo, Int. J. Infrared Millim. Waves (2007) https://doi.org/10.1007/s10762-007-9215-y
A.C. Torrezan, S.T. Han, I. Mastovsky, M.A. Shapiro, J.R. Sirigiri, R.J. Temkin, A.B. Barnes, R.G. Griffin, IEEE Trans. Plasma Sci. (2010) https://doi.org/10.1109/TPS.2010.2046617
V.I. Shcherbinin, T.I. Tkachova, V.I. Tkachenko, IEEE Trans. Electron Devices (2018) https://doi.org/10.1109/TED.2017.2769219
S.K. Jawla, R.G. Griffin, I.A. Mastovsky, M.A. Shapiro, R.J. Temkin, IEEE Trans. Electron Devices (2020) https://doi.org/10.1109/TED.2019.2953658
V.I. Shcherbinin, A.V. Hlushchenko, A.V. Maksimenko, V.I. Tkachenko, IEEE Trans. Electron Devices (2017) https://doi.org/10.1109/TED.2017.2730252
S. Spira-Hakkarainen, K.E. Kreischer, R.J. Temkin, IEEE Trans. Plasma Sci. (1990) https://doi.org/10.1109/27.55903
K.D. Hong, G.F. Brand, T. Idehara, J. Appl. Phys. (1993) https://doi.org/10.1063/1.354265
K.A. Avramides, C.T. Iatrou, J.L. Vomvoridis, IEEE Trans. Plasma Sci. (2004) https://doi.org/10.1109/TPS.2004.828781
Yu.S. Oparina, A.V. Savilov, J. Infrared Millim. Terahertz Waves (2018) https://doi.org/10.1007/s10762-018-0499-x
V.I. Shcherbinin, G.I. Zaginaylov, V.I. Tkachenko, Problems Atomic Sci. Technol. 6 (106), 255 (2016)
V.I. Shcherbinin, V.I. Tkachenko, J. Infrared Millim. Terahertz Waves (2017) https://doi.org/10.1007/s10762-017-0386-x
K.A. Avramides, J.L. Vomvoridis, C.T. Iatrou, AIP Conference Proceedings (2006) https://doi.org/10.1063/1.2158787
Q. Zhao, S. Yu, T. Zhang, IEEE Trans. Electron Devices (2017) https://doi.org/10.1109/TED.2017.2756635
M.M. Melnikova, A.G. Rozhnev, N.M. Ryskin, Y. Tatematsu, M. Fukunari, Y. Yamaguchi, T. Saito, IEEE Trans. Electron Devices (2017) https://doi.org/10.1109/TED.2017.2764874
O. Dumbrajs, E. Borie, Int. J. Electron. (1988) https://doi.org/10.1080/00207218808945230
D. Wagner, G. Gantenbein, W. Kasparek, M. Thumm, Int. J. Infrared Millim. Waves (1995) https://doi.org/10.1007/BF02274811
G.I. Zaginaylov, V.I. Shcherbinin, K. Schünemann, M.Yu. Glyavin, Proc. 8th MSMW (2013) https://doi.org/10.1109/MSMW.2013.6622127
A.V. Maksimenko, G.I. Zaginaylov, V.I. Shcherbinin, Physics of Particles and Nuclei Letters (2015) https://doi.org/10.1134/S1547477115020168
A.V. Maksimenko, V.I. Shcherbinin, V.I. Tkachenko, J. Infrared Millim. Terahertz Waves (2019) https://doi.org/10.1007/s10762-019-00589-x
A.V. Maksimenko, V.I. Shcherbinin, A.V. Hlushchenko, V.I. Tkachenko, K.A. Avramidis, J. Jelonnek, IEEE Trans. Electron Devices (2019) https://doi.org/10.1109/TED.2019.2893888
T.I. Tkachova, V.I. Shcherbinin, V.I. Tkachenko, J. Infrared Millim. Terahertz Waves (2019) https://doi.org/10.1007/s10762-019-00623-y
V.A. Flyagin, V.I. Khizhnyak, V.N. Manuilov, M.A. Moiseev, A.B. Pavelyev, V.E. Zapevalov, N.A. Zavolsky, Int. J. Infrared Millim. Waves (2003) https://doi.org/10.1023/A:1021667030616
S.P. Savaidis, Z.C. Ioannidis, N.A. Stathopoulos, IEEE Trans. Microwave Theory Tech. (2012) https://doi.org/10.1109/TMTT.2012.2209440
Z.C. Ioannidis, K.A. Avramidis, I.G. Tigelis, J. Infrared Millim. Terahertz Waves (2015) https://doi.org/10.1007/s10762-015-0152-x
Z.C. Ioannidis, K.A. Avramidis, I.G. Tigelis, IEEE Trans. Electron Devices (2016) https://doi.org/10.1109/TED.2016.2518217
T.I. Tkachova, V.I. Shcherbinin, V.I. Tkachenko, Proc. Int. Conf. Math. Methods Electromagn. Theory (2018) https://doi.org/10.1109/MMET.2018.8460433
T.I. Tkachova, V.I. Shcherbinin, V.I. Tkachenko, Problems Atomic Sci. Technol. 6 (118), 67 (2018)
Z.C. Ioannidis, O. Dumbrajs, I.G. Tigelis, IEEE Trans. Plasma Sci. (2006) https://doi.org/10.1109/TPS.2006.876518
Z.C. Ioannidis, K.A. Avramides, G.P. Latsas, I.G. Tigelis, IEEE Trans. Plasma Sci. (2011) https://doi.org/10.1109/TPS.2011.2118766
T.I. Tkachova, V.I. Shcherbinin, V.I. Tkachenko, Problems Atomic Sci. Technol. 4 (122), 31 (2019)
C.T. Iatrou, S. Kern, A.B. Pavelyev, IEEE Trans. Microw. Theory Techn. (1996) https://doi.org/10.1109/22.481385
V.I. Shcherbinin, B.A. Kochetov, A.V. Hlushchenko, V.I. Tkachenko, IEEE Trans. Microw. Theory Techn. (2019) https://doi.org/10.1109/TMTT.2018.2882493
V.I. Shcherbinin, V.I. Fesenko, T.I. Tkachova, V.R. Tuz, Phys. Rev. Applied (2020) https://doi.org/10.1103/PhysRevApplied.13.024081
V.L. Bratman, M.A Moiseev, M.I. Petelin, R.É. Érm, Radiophys. Quantum Electron. (1973) https://doi.org/10.1007/BF01030898
V.A. Flyagin, A.V. Gaponov, M.I. Petelin, V.K. Yulpatov, IEEE Trans. Microwave Theory Tech. (1977) https://doi.org/10.1109/TMTT.1977.1129149
S. Kern, K.A. Avramides, M.H. Beringer, O. Dumbrajs, Y. Liu, Proc. Int. Conf. Infrared Millim. Terahertz Waves (2008) https://doi.org/10.1109/ICIMW.2008.4665584
S.N. Vlasov, L.I. Zagryadskaya, M.I. Petelin, Radiophys. Quantum Electron. (1973) https://doi.org/10.1007/BF01080919
A.V. Maksimenko, V.I. Shcherbinin, V.I. Tkachenko, Proc. IEEE Ukrainian Microwave Week (2020) https://doi.org/10.1109/UkrMW49653.2020.9252719
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The work of Vitalii I. Shcherbinin was supported by a Georg Forster Research Fellowship for Experienced Researchers from the Alexander von Humboldt Foundation.
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All authors contributed to the study conception and design. Material preparation, data collection, and analysis were performed by Tetiana I. Tkachova and Vitalii I. Shcherbinin. The first draft of the manuscript was written by Vitalii I. Shcherbinin, and all authors commented on the previous versions of the manuscript. All authors read and approved the final manuscript.
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Tkachova, T.I., Shcherbinin, V.I., Tkachenko, V.I. et al. Starting currents of modes in cylindrical cavities with mode-converting corrugations for second-harmonic gyrotrons. J Infrared Milli Terahz Waves 42, 260–274 (2021). https://doi.org/10.1007/s10762-021-00772-z
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DOI: https://doi.org/10.1007/s10762-021-00772-z