Skip to main content

Excitation of orotron oscillations at the doubled frequency of a surface wave

Abstract

We study theoretically an electron frequency self-multiplier in which a surface mode of a periodic system is self-excited at a low frequency for a comparatively low current. The electron bunches, which appear as a result of this, excite the volume mode of an open resonator at the doubled frequency (coherent Smith-Purcell radiation). The open-resonator scheme allows one to obtain the higher power and coherence degree of radiation compared with the presently popular frequency multiplication scheme with an open periodic system (diffraction grating). The weakly relativistic and relativistic variants of the multipliers with a two-mirror open resonator designed for obtaining a high-power coherent radiation in the short-wavelength part of the millimeter and submillimeter ranges are studied numerically. The developed approach can also be used for designing high-power frequency multipliers on the basis of an array of nonlinear solid-state elements.

This is a preview of subscription content, access via your institution.

References

  1. 1.

    F. S. Rusin and G. D. Bogomolov, Pis’ma Zh. Éksp. Teor. Fiz., 4, No. 6, 236 (1966).

    ADS  Google Scholar 

  2. 2.

    K. Mizuno, S. Ono, and Y. Shibata, in: Proc. Symp. Submillimeter Waves, Polytech. Inst. Brookline, New York (1970), p. 115.

    Google Scholar 

  3. 3.

    V. P. Shestopalov ed., Diffraction Radiation Oscillators [in Russian], Naukova Dumka, Kiev (1991).

    Google Scholar 

  4. 4.

    V. L. Bratman, N. A. Gintsburg, Yu. A. Grishin, et al., Radiophys. Quantum Electron., 49, No. 11, 866 (2006).

    Article  ADS  Google Scholar 

  5. 5.

    A. F. Aleksandrov, A. N. Vlasov, S. Yu. Galuzo, et al., in: Relativistic High-Frequency Electronics (collected papers [in Russian], Inst. Appl. Phys., Gorky (1983) No. 3, p. 96.

    Google Scholar 

  6. 6.

    A. F. Aleksandrov, S. Yu. Galuzo, V. I. Kanavets, et al., Radiotekh. Élektron., 28, No. 4, 673 (1983).

    Google Scholar 

  7. 7.

    V. L. Bratman, I. V. Bandurkin, B. S. Dumesh, et al., AIP Conf. Proc., 807, No. 1, 356 (2006).

    Article  ADS  Google Scholar 

  8. 8.

    B. K. Skrynnik, V. K. Korneenkov, and M. Yu. Demchenko, Radiofiz. Élektron., 5, No. 3, 14 (2000).

    Google Scholar 

  9. 9.

    S. J. Smith and E. M. Purcell, Phys. Rev., 62, 1069 (1953).

    Article  ADS  Google Scholar 

  10. 10.

    J. Urata, M. Goldstein, M. F. Kimmitt, et al., Phys. Rev. Lett., 80, No. 3, 516 (1998).

    Article  ADS  Google Scholar 

  11. 11.

    C. S. Liu and V. K. Tripathi, IEEE J. Quantum Electron., 35, 1386 (1999).

    Article  ADS  Google Scholar 

  12. 12.

    H. L. Andrews and C. A. Brau, Phys. Rev. Spec. Top. Accel. Beams, 7, 070701 (2004).

    Google Scholar 

  13. 13.

    H. L. Andrews, C. H. Boulware, C. A. Brau, and J. D. Jarvis, Phys. Rev. Spec. Top. Accel. Beams, 8, 050703 (2005).

    Google Scholar 

  14. 14.

    J. T. Donohue and J. Gardelle, Phys. Rev. Spec. Top. Accel. Beams, 8, 060702 (2005).

    Google Scholar 

  15. 15.

    C. A. Flory, J. Appl. Phys., 99, 054903 (2006).

    Google Scholar 

  16. 16.

    J. T. Donohue and J. Gardelle, Phys. Rev. Spec. Top. Accel. Beams, 9, 060701 (2006).

    Google Scholar 

  17. 17.

    D. Li, Z. Yang, K. Imasaki, and G.-S. Park, Phys. Rev. Spec. Top. Accel. Beams, 9, 040701 (2006).

    Google Scholar 

  18. 18.

    V. Kumar and K.-J. Kim, Phys. Rev. E, 73, 026501 (2006).

  19. 19.

    Y.-M. Shin, J.-K. So, K.-H. Jang, et al., Appl. Phys. Lett., 90, 031502 (2007).

  20. 20.

    G. D. Bogomolov, A. I. Borodkin, V. S. Kushch, et al., Élektron. Tekh., Élektron. SVCh, No. 1, 97 (1970).

  21. 21.

    I. V. Bandurkin, V. L. Bratman, and A. V. Savilov, Tech. Phys. Lett., 32, No. 1, 84 (2006).

    Article  Google Scholar 

  22. 22.

    L. A. Vainshtein and V. A. Solntsev, Lectures in Microwave Electronics [in Russian], Sovetskoe Radio, Moscow (1973).

    Google Scholar 

  23. 23.

    F. S. Rusin and G. D. Bogomolov, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 2, No. 5, 756 (1968).

    Google Scholar 

  24. 24.

    L. A. Vainshtein, Electromagnetic Waves [in Russian], Radio i Svyaz’, Moscow (1988).

    Google Scholar 

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to A. É. Fedotov.

Additional information

__________

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 50, Nos. 10–11, pp. 859–865, October–November 2007.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Bratman, V.L., Makhalov, P.B., Fedotov, A.É. et al. Excitation of orotron oscillations at the doubled frequency of a surface wave. Radiophys Quantum El 50, 780–785 (2007). https://doi.org/10.1007/s11141-007-0068-y

Download citation

Keywords

  • Surface Wave
  • Periodic Structure
  • Surface Mode
  • Electron Bunch
  • Relativistic Electron Beam