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Snake—Modulation Dynamics of an Optical—Terahertz Soliton in a Graded-Index Waveguide

  • Optics and Laser Physics
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Abstract

A nonlinear stage of the effect of snake and modulation instabilities on the dynamics of an optical—terahertz soliton in a quadratically nonlinear graded-index waveguide has been studied theoretically. It has been shown that both instabilities are of fundamental importance and cannot be separated from each other. If the carrier frequency of the optical component is in the region of an anomalous dispersion of the group velocity, these instabilities are developed in a blow-up regime, leading to the self-focusing of the soliton. In the case of the normal dispersion of the group velocity, the mutual effect of the waveguide and snake—modulation dynamics results in the formation of a stable spatiotemporal soliton.

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References

  1. P. Y. Han and X.-C. Zhang, Meas. Sci. Technol. 12, 1747 (2001).

    Article  ADS  Google Scholar 

  2. B. Fergusson and X.-C. Zhang, Nat. Mater. 1, 26 (2002).

    Article  ADS  Google Scholar 

  3. A. E. Schegolev, A. M. Popova, A. V. Bogatskaya, P. M. Nikiforova, M. V. Tereshonok, and N. V. Klenov, JETP Lett. 111, 371 (2020).

    Article  ADS  Google Scholar 

  4. D. A. Shkitov, A. P. Potylitsyn, G. A. Naumenko, M. V. Shevelev, A. Aryshev, N. Terunuma, and J. Urakawa, JETP Lett. 109, 771 (2019).

    Article  ADS  Google Scholar 

  5. V. A. Kostin, I. D. Laryushin, and N. V. Vvedenskii, JETP Lett. 112, 77 (2020).

    Article  ADS  Google Scholar 

  6. S. Stremoukhov and A. Andreev, J. Opt. Soc. Am. B 34, 233 (2017).

    Article  ADS  Google Scholar 

  7. U. A. Abdullin, G. A. Lyakhov, O. V. Rudenko, and A. S. Chirkin, Sov. Phys. JETP 39, 633 (1974).

    ADS  Google Scholar 

  8. D. A. Bagdasaryan, A. O. Makaryan, and P. S. Pogosyan, JETP Lett. 37, 594 (1983).

    ADS  Google Scholar 

  9. D. H. Auston, K. P. Cheung, J. A. Valdmanis, and D. A. Kleinman, Phys. Rev. Lett. 53, 1555 (1984).

    Article  ADS  Google Scholar 

  10. G. Kh. Kitaeva, Laser Phys. Lett. 5, 559 (2008).

    Article  ADS  Google Scholar 

  11. A. N. Tuchak, G. N. Gol’tsman, G. Kh. Kitaeva, A. N. Penin, S. V. Seliverstov, M. I. Finkel, A. V. Shepelev, and P. V. Yakunin, JETP Lett. 96, 94 (2012).

    Article  ADS  Google Scholar 

  12. S. V. Sazonov, JETP Lett. 96, 263 (2012).

    Article  ADS  Google Scholar 

  13. A. N. Bugay, Phys. Part. Nucl. 50, 210 (2019).

    Article  Google Scholar 

  14. S. V. Sazonov and A. F. Sobolevskii, JETP Lett. 75, 621 (2002).

    Article  ADS  Google Scholar 

  15. R. K. Dodd, J. C. Eilbeck, J. Gibbon, and H. C. Morris, Solitons and Nonlinear Wave Equations (Academic, New York, 1982).

    MATH  Google Scholar 

  16. V. E. Zakharov, Sov. Phys. JETP 35, 908 (1972).

    ADS  Google Scholar 

  17. D. J. Benney, Stud. Appl. Math. 56, 81 (1977).

    Article  Google Scholar 

  18. J. Hebling, G. Almasi, and I. Z. Cosma, Opt. Express 10, 1161 (2002).

    Article  ADS  Google Scholar 

  19. A. G. Stepanov, A. A. Mel’nikov, V. O. Kompanets, and S. V. Chekalin, JETP Lett. 85, 227 (2007).

    Article  ADS  Google Scholar 

  20. A. N. Bugay, S. V. Sazonov, and A. Yu. Shashkov, Quantum Electron. 42, 1027 (2012).

    Article  Google Scholar 

  21. E. A. Kuznetsov, A. M. Rubenchik, and V. E. Zakharov, Phys. Rep. 142, 103 (1986).

    Article  ADS  MathSciNet  Google Scholar 

  22. Y. S. Kivshar and D. E. Pelinovsky, Phys. Rep. 331, 117 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  23. B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, J. Opt. B: Quantum Semiclass. Opt. 7, R53 (2005).

    Article  ADS  Google Scholar 

  24. V. E. Zakharov and A. M. Rubenchik, Sov. Phys. JETP 38, 494 (1974).

    ADS  Google Scholar 

  25. D. E. Pelinovsky, Math. Comput. Simul. 55, 585 (2001).

    Article  Google Scholar 

  26. G. Lombardi, W. van Alphen, S. N. Klimin, and J. Tempere, Phys. Rev. A 96, 033609 (2017).

    Article  ADS  Google Scholar 

  27. A. N. Bugay and S. V. Sazonov, Bull. Russ. Acad. Sci.: Phys. 82, 1468 (2018).

    Article  Google Scholar 

  28. P. J. Caudrey, J. C. Eilbeck, J. D. Gibbon, and R. K. Bullough, J. Phys. A: Math. Nucl. Gen. 6, L53 (1973).

    Article  ADS  Google Scholar 

  29. S. V. Sazonov and A. F. Sobolevskii, J. Exp. Theor. Phys. 96, 1019 (2003).

    Article  ADS  Google Scholar 

  30. N. Yajima and M. Oikawa, Prog. Theor. Phys. 56, 1719 (1976).

    Article  ADS  Google Scholar 

  31. T. Hattori and K. Takeuchi, Opt. Express 15, 8076 (2007).

    Article  ADS  Google Scholar 

  32. S. K. Zhdanov and B. A. Trubnikov, Sov. Phys. JETP 65, 904 (1987).

    Google Scholar 

  33. V. E. Zakharov, E. A. Kuznetsov, and S. L. Musher, JETP Lett. 41, 154 (1985).

    ADS  Google Scholar 

  34. S. A. Akhmanov, A. P. Sukhorukov, and R. V. Khokhlov, Sov. Phys. Usp. 10, 609 (1968).

    Article  ADS  Google Scholar 

  35. N. V. Karlov and N. A. Kirichenko, Oscillations, Waves, Structures (Fizmatlit, Moscow, 2001) [in Russian].

    Google Scholar 

  36. S. V. Sazonov, J. Exp. Theor. Phys. 103, 126 (2006).

    Article  ADS  Google Scholar 

  37. S. V. Sazonov, Phys. Wave Phenom. 24, 31 (2016).

    Article  ADS  Google Scholar 

  38. A. N. Bugay, S. V. Sazonov, and P. Yu. Shestakov, Proc. SPIE 10684, 106841M (2018).

    Google Scholar 

  39. A. Yariv, Quantum Electronics (Wiley, New York, 1989; Sov. Radio, Moscow, 1980).

    Google Scholar 

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

    Google Scholar 

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Authors and Affiliations

  1. National Research Center Kurchatov Institute, Moscow, 123182, Russia

    S. V. Sazonov

  2. Moscow Aviation Institute, National Research University, Moscow, 125993, Russia

    S. V. Sazonov

  3. Moscow State University, Moscow, 119991, Russia

    S. V. Sazonov

Authors
  1. S. V. Sazonov
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Correspondence to S. V. Sazonov.

Additional information

Russian Text © The Author(s), 2020, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 112, No. 5, pp. 305–311.

Funding

This work was supported by the Russian Foundation for Basic Research (project no. 19-02-00234a).

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Sazonov, S.V. Snake—Modulation Dynamics of an Optical—Terahertz Soliton in a Graded-Index Waveguide. Jetp Lett. 112, 283–289 (2020). https://doi.org/10.1134/S0021364020170087

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  • DOI: https://doi.org/10.1134/S0021364020170087

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