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Model of electron beam transformation in a narrow tube

  • Electron and Ion Beams, Accelerators
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Abstract

The problem of transformation of an electron beam in a long narrow conducting tube is considered. General wave solutions for the propagation of an arbitrary (including aperiodic) modulation of a homogeneous beam are obtained in the case of weak modulation. The solution corresponding to harmonic modulation is compared to the solutions obtained earlier and described in the literature. The problem of beam transformation corresponding to the bunching regime in high-power klystrons is also considered (including overtaking). A discrete analytic solution to the problem is obtained in the “frozen beam approximation.” This solution is tested for the problem of spilling of a monovelocity bunch and for the problem of the efficiency of a two-cavity klystron with infinitely narrow gaps. In both cases, physically correct results are obtained.

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References

  1. I. G. Artyukh, A. Yu. Baikov, and D. M. Petrov, in Proceedings of the 52nd Scientific Session Dedicated to the Day of Radio, Moscow, 1997, Part 2, pp. 68–71.

  2. S. V. Lebedinskii, V. I. Kanavets, E. I. Vasil’ev, Ya. A. Granit, S. V. Zhuravlev, V. I. Kuchugurnyi, and A. N. Sandalov, Elektron. Tekh., Ser. 1: Elektron. SVCh, No. 1, 41 (1977).

  3. O. A. Dokolin, V. I. Kuchugurnyi, S. V. Lebedinskii, A. V. Malykhin, and D. M. Petrov, Izv. Vyssh. Uchebn. Zaved. MV i SSO SSSR, Radioelektronika (Kiev) 27(12), 47 (1984).

    Google Scholar 

  4. A. Yu. Baikov and D. M. Petrov, in Proceedings of the International Scientific Technical Conference on Actual Problems of Electron Instrument Engineering, Saratov, 1996, Chap. 1, pp. 22–23.

  5. A. Yu. Baikov and D. M. Petrov, in Proceedings of the International Scientific Technical Conference on Actual Problems of Electron Instrument Engineering, Saratov, 1998, Vol. 1, pp. 56–58.

  6. A. Yu. Bajkov and D. V. Petrov, in Proceedings of the International University Conference “Electronics and Radiophysics of Ultra-High Frequencies,” St. Petersburg, 1999, pp. 5–8.

  7. A. Yu. Baikov and D. M. Petrov, in Proceedings of the International Conference Dedicated to the 100th Anniversary of Radio Invention, Moscow, 1995, pp. 85–88.

  8. A. Yu. Baikov, in Proceedings of the Conference “Mathematics, Informatics, Natural Science in Economy and Society,” Moscow, MFA, 2006, p. 84. http://conf.mfua.ru/2006

  9. A. Yu. Baikov and O. A. Grushina, in Proceedings of the International Scientific Practical Conference “Mathematics, Informatics, Natural Science in Economy and Society,” Moscow, MFYuA, 2009, Vol. 1, pp. 97–100. http://conf.mfua.ru/2009

  10. A. Yu. Baikov and O. A. Grushina, in Proceedings of the Scientific Session of National Research Nuclear University (NIYaU)-Moscow Institute of Engineering Physics (MIFI) (NIYaU-MIFI-2010), Nanophysics and Nanotechnology: Fundamental Problems, Moscow, 2010, Vol. 2, p. 329.

  11. A. Yu. Baikov and O. A. Grushina, in Proceedings of the Scientific Session Dedicated to the Day of Radio at Popov’s Scientific Technical Society of Radiotechniques, Electronics and Communication, Moscow, 2010, No. 65, pp. 339–342.

  12. A. Yu. Baikov, Inform.-Izmer. Upravl. Sist., No. 4, 36 (2010).

  13. W. R. Smythe, Static and Dynamic Electricity, 2nd ed. (McGraw-Hill, New York, 1950; Inostrannaya Literatura, Moscow, 1954).

    Google Scholar 

  14. G. M. Branch and T. G. Mihran, IRE Trans. Electron Devices 2(2), 3 (1955).

    Article  ADS  Google Scholar 

  15. S. A. Zusmanovskii and Z. I. Khaplanova, Vopr. Radioelektron., Ser. SVCh-Elektron., No. 6 (1959).

  16. L. A. Vainshtein and V. A. Solntsev, Lectures on Micro-wave Electronics (Sovetskoe Radio, Moscow, 1973; Pergamon, Oxford, 1977).

    Google Scholar 

  17. V. I. Gaiduk, K. I. Palatov, and D. M. Petrov, Physical Grounds of Microwave Electronics (Sovetskoe Radio, Moscow, 1971).

    Google Scholar 

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Authors and Affiliations

  1. Moscow Engineering Physics Institute (MEPhI), National Research Nuclear University, Kashirskoe sh. 31, Moscow, 115409, Russia

    O. A. Grushina, M. N. Strikhanov & A. A. Tishchenko

  2. Moscow University of Finance and Law, B. Cheremushkinskaya ul. 17-A, Moscow, 117447, Russia

    A. Yu. Baikov

Authors
  1. A. Yu. Baikov
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  2. O. A. Grushina
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  3. M. N. Strikhanov
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  4. A. A. Tishchenko
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Correspondence to A. Yu. Baikov.

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Original Russian Text © A.Yu. Baikov, O.A. Grushina, M.N. Strikhanov, A.A. Tishchenko, 2012, published in Zhurnal Tekhnicheskoi Fiziki, 2012, Vol. 82, No. 6, pp. 90–100.

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Baikov, A.Y., Grushina, O.A., Strikhanov, M.N. et al. Model of electron beam transformation in a narrow tube. Tech. Phys. 57, 824–834 (2012). https://doi.org/10.1134/S1063784212060047

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  • DOI: https://doi.org/10.1134/S1063784212060047

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