Skip to main content
Log in

Soliton Beams of Modes with Positive and Negative Group Velocities in a Thin Left-Handed Film on a Right-Handed Kerr Substrate

  • INTEGRAL OPTICS
  • Published:
Bulletin of the Lebedev Physics Institute Aims and scope Submit manuscript

Abstract

We consider the propagation of stationary dark and light spatial solitons and various pairs of incoherently coupled solitons in a planar waveguide based on a thin left-handed film of a Kerr substrate. It is shown that such solitons can be formed by guided modes with positive as well as negative group velocities. The conditions in which the propagation of light and dark spatial solitons in the same waveguide is possible irrespective of the sign of the nonlinear optical coefficients of the substrate.

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.

REFERENCES

  1. Akhmanov, S.A., Vysloukh, V.A., and Chirkin, A.S., Optika femtosekundnykh lazernykh impul’sov (Optics of Femtosecond Laser Pulses), Moscow: Nauka, 1988.

  2. Hasegawa, A., Optical Solitons in Fibers, Berlin: Springer, 1989.

    Book  Google Scholar 

  3. Rosanov, N.N., Prog. Opt., 1996, vol. 35, p. 1.

    Article  ADS  Google Scholar 

  4. Akhmediev, N.N. and Ankiewicz, A., Nonlinear Pulses and Beams, New York: Springer, 1997.

    MATH  Google Scholar 

  5. Agrawal, G.P., Nonlinear Fiber Optics, Berlin: Springer, 2000.

    MATH  Google Scholar 

  6. Kivshar, Yu.S. and Agraval, G.P., Optical Solitons. From Fibers to Photonic Crystals, London: Academic Press, 2003.

    Google Scholar 

  7. Lapine, M., Shadrivov, I., and Kivshar, Yu., Rev. Mod. Phys., 2014, vol. 86, p. 1093.

    Article  ADS  Google Scholar 

  8. Zakharov, V.E. and Shabat, A.B., Sov. Phys. JETP, 1973, vol. 37, p. 823).

    ADS  Google Scholar 

  9. Hasegawa, A. and Tappert, F., Appl. Phys. Lett., 1973, vol. 23, p. 142.

    Article  ADS  Google Scholar 

  10. Mollenauer, L.F., Stolen, R.H., and Gordon, J.P., Phys. Rev. Lett., 1980, vol. 45, p. 1095.

    Article  ADS  Google Scholar 

  11. Emplit, P., Hamaide, J.P., Reynaud, F., Froehly, C., and Barthelemy, A., Opt. Commun., 1987, vol. 62, p. 374.

    Article  ADS  Google Scholar 

  12. Krokel, D., Halas, N.J., Giuliani, G., and Grischkowsky, D., Phys. Rev. Lett., 1988, vol. 60, p. 29.

    Article  ADS  Google Scholar 

  13. Zharova, N.A., Shadrivov, I.V., Zharov, A.A., and Kivshar, Yu.S., Opt. Express, 2005, vol. 13, p. 1291.

    Article  ADS  Google Scholar 

  14. Boardman, A.D., Mitchell-Thomas, R.C., King, N.J., and Rapoport, Y.G., Opt. Commun., 2010, vol. 283, p. 1585.

    Article  ADS  Google Scholar 

  15. Stegeman, G.I. and Seaton, C.T., J. Appl. Phys., 1985, vol. 58, p. R57.

    Article  ADS  Google Scholar 

  16. Boardman, A. and Egan, P., IEEE J. Quantum Electron., 1986, vol. 22, p. 319.

    Article  ADS  Google Scholar 

  17. Stegeman, G.I., Wright, E.M., Finlayson, N., Zanoni, R., and Seaton, C.T., J. Lightwave Technol., 1988, vol. 6, p. 953.

    Article  ADS  Google Scholar 

  18. Fontaine, M., J. Appl. Phys., 1991, vol. 69, p. 2826.

    Article  ADS  Google Scholar 

  19. Friedrich, L., Stegeman, G.I., Millar, P., Hamilton, C.J., and Aitchison, J.S., Opt. Lett., 1998, vol. 23, p. 1438.

    Article  ADS  Google Scholar 

  20. Crosignani, B. and Di Porto, P., Opt. Lett., 1981, vol. 6, p. 329.

    Article  ADS  Google Scholar 

  21. Crosignani, B., Cutolo, A., and Di Porto, P., J. Opt. Soc. Am., 1982, vol. 72, p. 1136.

    Article  ADS  Google Scholar 

  22. Tratnik, M.V. and Sipe, J.E., Phys. Rev. A, 1988, vol. 38, p. 2011.

    Article  ADS  Google Scholar 

  23. Lisak, M., Hook, A., and Anderson, D., J. Opt. Soc. Am. B, 1990, vol. 7, p. 810.

    Article  ADS  Google Scholar 

  24. Haelterman, M. and Sheppard, A., Phys. Rev. E, 1994, vol. 49, p. 3376.

    Article  ADS  MathSciNet  Google Scholar 

  25. Kivshar, Yu.S. and Turitsyn, S.K., Opt. Lett., 1993, vol. 18, p. 337.

    Article  ADS  Google Scholar 

  26. Afanasyev, V.V., Kivshar, Yu.S., Konotop, V.V., and Serkin, V.N., Opt. Lett., 1989, vol. 14, p. 805.

    Article  ADS  Google Scholar 

  27. Afanasjev, V.V., Dianov, E.M., and Serkin, V.N., IEEE J. Quantum. Electron., 1989, vol. 25, p. 2656.

    Article  ADS  Google Scholar 

  28. Wang, L. and Yang, C.C., Opt. Lett., 1990, vol. 15, p. 474.

    Article  ADS  Google Scholar 

  29. Hong, B.J., Yang, C.C., and Wang, L., J. Opt. Soc. Am. B, 1991, vol. 8, p. 464.

    Article  ADS  Google Scholar 

  30. Trillo, S., Wabnitz, S., Wright, E.M., and Stegeman, G.I., Opt. Lett., 1988, vol. 13, p. 871.

    Article  ADS  Google Scholar 

  31. Buryak, A.V., Kivshar, Yu.S., and Parker, D.F., Phys. Lett. A, 1996, vol. 215, p. 57.

    Article  ADS  Google Scholar 

  32. Haelterman, M. and Sheppard, A., Phys. Rev. E, 1994, vol. 49, p. 4512.

    Article  ADS  Google Scholar 

  33. Haelterman, M. and Sheppard, A., Phys. Lett. A, 1994, vol. 185, p. 265.

    Article  ADS  MathSciNet  Google Scholar 

  34. Tran, H.T. and Sammut, R.A., Opt. Commun., 1995, vol. 119, p. 583.

    Article  ADS  Google Scholar 

  35. Radhakrishnan, R. and Lakshmanan, M., J. Phys. A, 1995, vol. 28, p. 2683.

    Article  ADS  MathSciNet  Google Scholar 

  36. Sheppard, A.P. and Kivshar, Yu.S., Phys. Rev. E, 1997, vol. 55, p. 4773.

    Article  ADS  MathSciNet  Google Scholar 

  37. Seve, E., Millot, G., and Wabnitz, S., Opt. Lett., 1998, vol. 23, p. 1829.

    Article  ADS  Google Scholar 

  38. Vlasov, S.N. and Talanov, V.I., Samofokusirovka voln (Wave Self-Focusing), Nizhny Novgorod: IFP RAN, 1997.

  39. Novitsky, A.V. and Barkovsky, L.M., J. Opt. A: Pure Appl. Opt., 2005, vol. 7, p. S51.

    Article  ADS  Google Scholar 

  40. Shen, L.F. and Wang, Z.H., J. Opt. Soc. Am. A, 2009, vol. 26, p. 754.

    Article  ADS  Google Scholar 

  41. Konkin, D.A., Shibel’gut, A.A., and Litvinov, R.V., Izv. Samarsk. Nauchn. Tsentra RAN, 2015, vol. 17, p. 83.

    Google Scholar 

  42. Konkin, D.A., Litvinov, R.V., Parfenova, E.S., Rakhim, R.A.A., and Stukach, O.V., Quantum Electron., 2016, vol. 46, p. 1040.

    Article  ADS  Google Scholar 

  43. Buller, A.S., Leonov S.V., Litvinova N.R., and Litvinov R.V., J. Exp. Theor. Phys., 2020, vol. 130, p. 387.

    Article  ADS  Google Scholar 

  44. Buller, A.S., Zelenetskaya, Yu.V., Litvinov R.V., and Melikhova, N.R., Quantum Electron., 2021, vol. 51, p. 1030.

    Article  ADS  Google Scholar 

  45. Zelenetskaya, Yu.V., Kuz’minskaya, E.V., Litvinov R.V., and Melikhova, N.R., Quantum Electron., 2022, vol. 52, p. 631.

    Google Scholar 

  46. Shramkova, O., J. Opt. Soc. Am. B, 2019, vol. 36, p. 2038.

    Article  ADS  Google Scholar 

  47. Droulias, S., Koschny, T., Kafesaki, M., and Soukoulis, C.M., Nanomater. Nanotechnol., 2019, vol. 9, p. 1.

    Article  Google Scholar 

  48. Savelev, R.S., Shadrivov, I.V., Belov, P.A., Rosanov, N.N., Fedorov, S.V., Sukhorukov, A.A., and Kivshar, Yu.S., Phys. Rev. B, 2013, vol. 87, p. 115139.

  49. Rozanov, N.N., Fedorov, S.V., Savel’ev, R.S., Sukhorukov, A.A., and Kivshar, Yu.S., J. Exp. Theor. Phys., 2012, vol. 114, p. 782.

    Article  ADS  Google Scholar 

  50. Stockman, M.I., Philos. Trans. R. Soc. London, Ser. A, 2011, vol. 369, p. 3510.

    Google Scholar 

  51. Boltasseva, A. and Atwater, H.A., Science, 2011, vol. 331, p. 290.

    Article  ADS  Google Scholar 

  52. Fedotov, V.A., Tsiatmas, A., Shi, J.H., Buckingham, R., de Groot, P., Chen, Y., Wang, S., and Zheludev, N.I., Opt. Express, 2010, vol. 18, p. 9015.

    Article  ADS  Google Scholar 

  53. Tsiatmas, A., Buckingham, A.R., Fedotov, V.A., Wang, S., Chen, Y., de Groot, P.A.J., and Zheludev, N.I., Appl. Phys. Lett., 2010, vol. 97, p. 111106.

  54. Fang, A., Koschny, T., and Soukoulis, C.M., Phys. Rev. B., 2010, vol. 82, p. 121102.

  55. Sadatgol, M., Ozdemir, S.K., Yang, L., and Guney, D.O., Phys. Rev. Lett., 2015, vol. 115, p. 035502.

  56. Wuestner, S., Pusch, A., Tsakmakidis, K.L., Hamm, J.M., and Hess, O., Phys. Rev. Lett., 2010, vol. 105, p. 127401.

  57. Xia, S., Drachev, V.P., Kildishev, A.V., Ni, X., Chettiar, U.K., Yuan, H.-K., and Shalaev, V.M., Nature, 2010, vol. 466, p. 735.

    Article  ADS  Google Scholar 

  58. Coldren, L.A., Corzine, S.W., and Masanovic, M.L., Diode Lasers and Photonic Integrated Circuits, Hoboken: Wiley, 2012.

    Book  Google Scholar 

  59. Hunsperger, R.G., Integrated Optics: Theory and Technology, New York: Springer, 2009.

    Book  Google Scholar 

  60. Kogelink, H., Integrated Optics, Tamir, T., Ed., Berlin: Springer, 1975.

    Google Scholar 

  61. Litvinov, M.P., Spiridonova, A.S., Litvinov, R.V., and Konkin, D.A., JETP Lett., 2021, vol. 47, p. 48.

    Google Scholar 

  62. Litvinov, R.V. and Melikhova N.R., JETP Lett., 2022, vol. 116, no. 1, pp. 18—21.

    Article  ADS  Google Scholar 

  63. Bloembergen N., Nonlinear Optics, Singapore: World Sci., 1996.

    Book  MATH  Google Scholar 

  64. Shen, Y.R., Principles of Nonlinear Optics, New York: Wiley, 1984.

    Google Scholar 

  65. Manakov, S.V., Sov. Phys. JETP, 1974, vol. 40, p. 269.

    ADS  Google Scholar 

  66. Ablowitz, M.J. and Segur, H., Solitons and the Inverse Scattering Transform, Philadelphia: SIAM, 1981.

    Book  MATH  Google Scholar 

  67. Vakhitov, N.G. and Kolokolov, A.A., Radiophys. Quantum Electron., 1973, vol. 16, p. 1020.

    Article  Google Scholar 

  68. Kolokolov, A.A., Lett. Nuovo Cimento, 1973, vol. 8, p. 197.

    Article  Google Scholar 

  69. Kivshar, Yu.S. and Malomed, B.A., Rev. Mod. Phys., 1989, vol. 63, p. 761.

    Google Scholar 

  70. Makhan’kov, V.G., Rybakov, Yu.P., and Sanyuk, V.I., Phys. Usp., 1994, vol. 37, p. 113.

    Article  ADS  Google Scholar 

  71. Pelinovsky, D.E. and Kivshar, Yu.S., Phys. Rev. E, 2000, vol. 62, p. 8668.

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to R. V. Litvinov.

Ethics declarations

The authors declare that they have no conflict of interests.

Additional information

Translated by N. Wadhwa

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zelenetskaya, Y.V., Litvinov, R.V., Melikhova, N.R. et al. Soliton Beams of Modes with Positive and Negative Group Velocities in a Thin Left-Handed Film on a Right-Handed Kerr Substrate. Bull. Lebedev Phys. Inst. 49 (Suppl 1), S82–S88 (2022). https://doi.org/10.3103/S1068335622130152

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068335622130152

Keywords:

Navigation