Skip to main content
Log in

Stability of Planar Pulses Propagating in the Tunnel Ionization Mode

  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The problem of the planar pulse propagation in the tunnel ionization regime is considered on the basis of moments. A system of equations for the signal parameters is obtained, and conditions for quasi-stable propagation are found according to Lyapunov.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1.

Similar content being viewed by others

REFERENCES

  1. Rairoux, P., Schillinger, H., Niedermeier, S., et al., Appl. Phys. B, 2000, vol. 71, p. 573.

    Article  ADS  Google Scholar 

  2. Diels, J.-C., Bernstein, R., Stahlkopf, K., and Zhao, X.M., Sci. Am., 1997, vol. 277, p. 50.

    Article  Google Scholar 

  3. Alfano, R.R., The Supercontinuum Laser Source, New York: Springer, 1989.

    Book  Google Scholar 

  4. D’Amico, C., Houard, A., Franco, M., et al., Phys. Rev. Lett., 2007, vol. 98, 235002.

    Article  ADS  Google Scholar 

  5. Kivshar, Yu.S. and Agrawal, G.P., Optical Solitons: From Fibers to Photonic Crystals, New York: Academic, 2003.

    Google Scholar 

  6. Edmundson, D.E. and Enns, R.H., Opt. Lett., 1992, vol. 17, p. 586.

    Article  ADS  Google Scholar 

  7. Mihalache, D., Mazilu, D., Crasovan, L.-C., et al., Phys. Rev. Lett., 2002, vol. 88, 073902.

    Article  ADS  Google Scholar 

  8. Fibich, G. and Ilan, B., Opt. Lett., 2004, vol. 29, p. 887.

    Article  ADS  Google Scholar 

  9. Raghavan, S. and Agrawal, G.P., Opt. Commun., 2000, vol. 180, p. 377.

    Article  ADS  Google Scholar 

  10. Sazonov, S.V., Kalinovich, A.A., Komissarova, M.V., and Zakharova, I.G., Phys. Rev. A, 2019, vol. 100, 033835.

    Article  ADS  Google Scholar 

  11. Couairon, A., Eur. Phys. J. D, 1996, vol. 27, p. 159.

    Article  ADS  Google Scholar 

  12. Henz, S. and Herrmann, J., Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2006, vol. 53, p. 4092.

    Article  Google Scholar 

  13. Sprangle, P., Penano, J.R., and Hafizi, B., Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2002, vol. 66, 046418.

    Article  ADS  Google Scholar 

  14. Sprangle, P., Esarey, E., and Krall, J., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 1996, vol. 54, p. 4211.

    Article  Google Scholar 

  15. Penano, J., Palastro, J.P., Hafizi, B., et al., Phys. Rev. A, 2017, vol. 96, 013829.

    Article  ADS  Google Scholar 

  16. Couairon, A. and Mysyrowicz, A., Phys. Rep., 2007, vol. 441, p. 47.

    Article  ADS  Google Scholar 

  17. Chekalin, S.V., Dokukina, E.A., Dormidonov, E.A., et al., J. Phys. B, 2015, vol. 48, 094008.

    Article  ADS  Google Scholar 

  18. Voronin, A.A. and Zheltikov, A.M., Phys.—Usp., 2016, vol. 59. № 9, p. 869.

    Article  ADS  Google Scholar 

  19. Saleh, M.F., Chang, W., Holzer, P., et al., Phys. Rev. Lett., 2011, vol. 107, 203902.

    Article  ADS  Google Scholar 

  20. Holzer, P., Chang, W., Travers, J.C., et al., Phys. Rev. Lett., 2011, vol. 107, 203901.

    Article  ADS  Google Scholar 

  21. Facao, M., Carvalho, M.I., and Almeida, P., Phys. Rev. A, 2013, vol. 87, 063803.

    Article  ADS  Google Scholar 

  22. Dianov, E.M., Karasik, A.Y., and Mamyshev, P.V., JETP Lett., 1985, vol. 41(6), p. 294.

    ADS  Google Scholar 

  23. Mitschke, F.M. and Mollenauer, L.F., Opt. Lett., 1986, vol. 11, p. 659.

    Article  ADS  Google Scholar 

  24. Gordon, J.P., Opt. Lett., 1986, vol. 11, p. 662.

    Article  ADS  Google Scholar 

  25. Santhanam, J. and Agraval, G., Opt. Commun., 2003, vol. 222, p. 413.

    Article  ADS  Google Scholar 

  26. Bugay, A.N. and Khalyapin, V.A., Phys. Lett. A, 2017, vol. 381, p. 399.

    Article  Google Scholar 

  27. Vlasov, S.N., Petrishchev, V.A., and Talanov, V.I., Izv. Vyssh. Uchebn. Zaved., Radiofiz., 1971, vol. 14, no. 9, p. 1453.

    Google Scholar 

  28. Maimistov, A.I., J. Exp. Theor. Phys., 1993, vol. 77, p. 727.

    ADS  MathSciNet  Google Scholar 

  29. Keldysh, L.V., Sov. Phys. JETP, 1965. V, 20, p. 1307.

  30. Lyapunov, A.M., Obshchaya zadacha ob ustoichivosti dvizheniya (General Problem of Motion Stability), Moscow: Gostekhizdat, 1950.

Download references

Funding

This work was supported by Russian Science Foundation, project no. 17-11-1157).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. A. Khalyapin.

Ethics declarations

The authors declare that they have no conflicts of interest.

Additional information

Translated by G. Dedkov

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khalyapin, V.A., Bugay, A.N. Stability of Planar Pulses Propagating in the Tunnel Ionization Mode. Bull. Russ. Acad. Sci. Phys. 85, 1424–1428 (2021). https://doi.org/10.3103/S1062873821120091

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873821120091

Navigation