Skip to main content
SpringerLink
Log in

Modulation instability of electromagnetic excitations in the Josephson junction in a thin superconducting film

  • Published:
Technical Physics Letters Aims and scope Submit manuscript

Abstract

The modulation instability of plane nonlinear electromagnetic waves with finite amplitudes excited in the Josephson junction in a thin superconducting film has been studied within the framework of nonlocal electrodynamics. A dispersion equation for the increment of the wave amplitude perturbation is obtained, and the regions of the modulation instability development for the waves studied are determined. It is shown that, for the longwave amplitude perturbations, the modulation instability of these waves is developed within a finite region of wavevectors 0 <Q<Q v , while the waves with Q≥Q v are stable.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. I. Karpman, Nonlinear Waves in Dispersive Media (Nauka, Moscow, 1973).

    Google Scholar 

  2. B. B. Kadomtsev, Nonlinear Phenomena in Plasma (Nauka, Moscow, 1976).

    Google Scholar 

  3. G. A. Askar’yan, Zh. Éksp. Teor. Fiz. 42, 1567 (1962) [Sov. Phys. JETP 15, 1088 (1962)].

    Google Scholar 

  4. M. J. Lighthill, J. Inst. Math. Appl. 1, 269 (1965).

    MATH  MathSciNet  Google Scholar 

  5. Yu. M. Aliev, V. P. Silin, and S. A. Uryupin, Sverkhprovodimost 5(2), 228 (1992).

    Google Scholar 

  6. A. Gurevich, Phys. Rev. B 46, 3187 (1992).

    ADS  Google Scholar 

  7. Yu. M. Ivanchenko and T. K. Soboleva, Pis’ma Zh. Éksp. Teor. Fiz. 51, 100 (1990) [JETP Lett. 51, 114 (1990)].

    Google Scholar 

  8. Yu. M. Ivanchenko and T. K. Soboleva, Phys. Lett. A 147, 65 (1990).

    Article  ADS  Google Scholar 

  9. Yu. M. Ivanchenko and T. K. Soboleva, Fiz. Tverd. Tela 32, 2029 (1990) [Sov. Phys. Solid State 32, 1181 (1990)].

    Google Scholar 

  10. R. G. Mints and I. B. Snapiro, Phys. Rev. B 51, 3054 (1995).

    Article  ADS  Google Scholar 

  11. A. I. Lomtev, Pis’ma Zh. Éksp. Teor. Fiz. 69, 132 (1999) [JETP Lett. 69, 148 (1999)].

    Google Scholar 

  12. A. I. Lomtev, Fiz. Tverd. Tela (St. Petersburg) 42, 16 (2000) [Phys. Solid State 42, 15 (2000)].

    Google Scholar 

  13. A. I. Lomtev, Zh. Tekh. Fiz. 70(9), 63 (2000) [Tech. Phys. 45, 1159 (2000)].

    Google Scholar 

  14. I. O. Kulik and I. K. Yanson, Josephson Effect in Superconducting Tunneling Structures (Nauka, Moscow, 1970).

    Google Scholar 

  15. Yu. E. Kuzovlev and A. I. Lomtev, Zh. Éksp. Teor. Fiz. 111, 1803 (1997) [JETP 84, 986 (1997)].

    Google Scholar 

  16. A. I. Lomtev, Zh. Éksp. Teor. Fiz. 113, 2256 (1998) [JETP 86, 1234 (1998)].

    Google Scholar 

  17. F. Kh. Abdullaev, Pis’ma Zh. Tekh. Fiz. 23(2), 8 (1997) [Tech. Phys. Lett. 23, 52 (1997)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Donetsk Physicotechnical Institute, National Academy of Sciences of Ukraine, Donetsk, Ukraine

    A. I. Lomtev

Authors
  1. A. I. Lomtev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 29, No. 8, 2003, pp. 72–78.

Original Russian Text Copyright © 2003 by Lomtev.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lomtev, A.I. Modulation instability of electromagnetic excitations in the Josephson junction in a thin superconducting film. Tech. Phys. Lett. 29, 342–344 (2003). https://doi.org/10.1134/1.1573311

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1573311

Keywords

Search

Navigation