Skip to main content
Log in

Modulation instability of ultrashort pulses in quadratic nonlinear media beyond the slowly varying envelope approximation

  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

We report a modulational instability (MI) analysis of a mathematical model appropriate for ultrashort pulses in cascaded-quadratic-cubic nonlinear media beyond the so-called slowly varying envelope approximation. The study shows the possibility of controlling the generation of MI and formation of solitons in a cascaded-quadratic-cubic medium in the few-cycle regimes.

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
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. M. Wegener, Extreme Nonlinear Optics (Springer, Berlin, 2005)

    MATH  Google Scholar 

  2. T. Brabec, Strong Field Laser Physics (Springer, Berlin, 2008)

    Google Scholar 

  3. E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, Th. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, F. Krausz, Science 305, 1267 (2004)

    Article  ADS  Google Scholar 

  4. T. Brabec, F. Krausz, Rev. Mod. Phys. 72, 545 (2000)

    Article  ADS  Google Scholar 

  5. T. Brabec, F. Krausz, Phys. Rev. Lett. 78, 3282 (1997)

    Article  ADS  Google Scholar 

  6. A.L. Gaeta, Phys. Rev. Lett. 84, 3582 (2000)

    Article  ADS  Google Scholar 

  7. H. Leblond, D. Mihalache, Phys. Rev. A 79, 063835 (2009)

    Article  ADS  Google Scholar 

  8. J.E. Rothenberg, Opt. Lett. 17, 1340 (1992)

    Article  ADS  Google Scholar 

  9. K.E. Oughstun, H. Xiao, Phys. Rev. Lett. 78, 642 (1997)

    Article  ADS  Google Scholar 

  10. J.K. Ranka, A.L. Gaeta, Opt. Lett. 23, 534 (1998)

    Article  ADS  Google Scholar 

  11. V.G. Bespalov, S.A. Kozlov, Yu.A. Shpolyanskiy, I.A. Walmsley, Phys. Rev. A 66, 013811 (2002)

    Article  ADS  Google Scholar 

  12. T. Tsurumi, J. Phys. Soc. Jpn. 75, 024002 (2006)

    Article  ADS  Google Scholar 

  13. D. Homoelle, A.L. Gaeta, Opt. Lett. 25, 761 (2000)

    Article  ADS  Google Scholar 

  14. S.A. Trushi, K. Kosma, W. Fuß, W.E. Schmid, Opt. Lett. 32, 2432 (2007)

    Article  ADS  Google Scholar 

  15. G. Fibich, A.L. Gaeta, Opt. Lett. 25, 335 (2000)

    Article  ADS  Google Scholar 

  16. M. Nurhuda, A. Suda, M. Hatayama, K. Nagasaka, K. Midorikawa, Phys. Rev. A 66, 023811 (2002)

    Article  ADS  Google Scholar 

  17. J. Moses, F.W. Wise, Phys. Rev. Lett. 97, 073903 (2006)

    Article  ADS  Google Scholar 

  18. M. Marangoni, G. Sanna, D. Brida, M. Conforti, G. Cirmi, C. Manzoni, F. Baronio, P. Bassi, C. De Angelis, G. Cerullo, Appl. Phys. Lett. 93, 021107 (2008)

    Article  ADS  Google Scholar 

  19. X. Liu, L. Qian, F. Wise, Opt. Lett. 24, 1777 (1999)

    Article  ADS  Google Scholar 

  20. S. Ashihara, J. Nishina, T. Shimura, K. Kuroda, J. Opt. Soc. Am. B 19, 2505 (2002)

    Article  ADS  Google Scholar 

  21. M. Bache, O. Bang, B.B. Zhou, J. Moses, F.W. Wise, Phys. Rev. A 82, 063806 (2010)

    Article  ADS  Google Scholar 

  22. M. Conforti, F. Baronio, C.D. Angelis, Phys. Rev. A 81, 053841 (2010)

    Article  ADS  Google Scholar 

  23. M. Conforti, F. Baronio, C.D. Angelis, IEEE Photonics. J. 2, 600 (2010)

    Article  Google Scholar 

  24. M. Bache, O. Bang, J. Moses, F.W. Wise, Opt. Lett. 32, 2490 (2007)

    Article  ADS  Google Scholar 

  25. A.G. Kalocsai, J.W. Haus, Phys. Rev. A 49, 574 (1994)

    Article  ADS  Google Scholar 

  26. G.P. Agrawal, Nonlinear Fiber Optics, 4th edn. (Academic Press, San Diego, 2007)

    Google Scholar 

  27. A.K. Sarma, M. Saha, J. Opt. Soc. Am. B. 28, 944 (2011)

    Article  ADS  Google Scholar 

  28. M.J. Potasek, Opt. Lett. 12, 921 (1987)

    Article  ADS  Google Scholar 

  29. P.K. Shukla, J.J. Rasmussen, Opt. Lett. 11, 171 (1986)

    Article  ADS  Google Scholar 

  30. A.K. Sarma, Europhys. Lett. 92, 24004 (2010)

    Article  ADS  Google Scholar 

  31. Y. Xiang, X. Dai, S. Wen, D. Fan, J. Opt. Soc. Am. B 28, 908 (2011)

    Article  ADS  Google Scholar 

  32. S. Trillo, P. Ferro, Opt. Lett. 20, 438 (1995)

    Article  ADS  Google Scholar 

  33. C.R. Menyuk, R. Schiek, L. Torner, J. Opt. Soc. Am. B 11, 2434 (1994)

    Article  ADS  Google Scholar 

  34. D. Salerno, S. Minardi, J. Trull, A. Varanavicius, G. Tamosauskas, G. Valiulis, A. Dubietis, D. Caironi, S. Trillo, A. Piskarskas, P. Di Trapani, Phys. Rev. Lett. 91, 143905 (2003)

    Article  ADS  Google Scholar 

  35. S.D. Jenkins, D. Salerno, S. Minardi, G. Tamošauskas, T.A.B. Kennedy, P. Di Trapani, Phys. Rev. Lett. 95, 203902 (2005)

    Article  ADS  Google Scholar 

  36. J. Moses, F.W. Wise, physics/0604170

  37. V.A. Vysloukh, N.A. Sukhotskova, Sov. J. Quantum Electron. 17, 1509 (1987)

    Article  ADS  Google Scholar 

Download references

Acknowledgement

Authors would like to express their sincere gratitude and thanks to the anonymous reviewers for their positive and critical comments which helped in improving the results of the work. A.K.S. sincerely thanks the Department of Science and Technology, Government of India for a research grant (grant no. SR/FTP/PS-17/2008).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. K. Sarma.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sarma, A.K., Kumar, P. Modulation instability of ultrashort pulses in quadratic nonlinear media beyond the slowly varying envelope approximation. Appl. Phys. B 106, 289–293 (2012). https://doi.org/10.1007/s00340-011-4826-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-011-4826-3

Keywords

Navigation