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Wave Beams in Active Periodic Structures with Quadratic Nonlinearity

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

Abstract

An investigation is performed of the formation of parametric optical solitons in a Bragg structure doped with active elements with quadratic nonlinearity. Numerical modeling is used to show that competition between nonlinear coupling, Bragg reflection, and additional gain/absorption profile generally leads to an asymmetric picture of the propagation of two-frequency solitons.

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REFERENCES

  1. Bender, C.M. and Boettcher, S., Phys. Rev. Lett., 1998, vol. 80, p. 5243.

    Article  ADS  MathSciNet  Google Scholar 

  2. Zyablovsky, A.A., Vinogradov, A.P., Pukhov, A.A., et al., Phys.—Usp., 2014, vol. 57, no. 11, p. 1063.

    Article  ADS  Google Scholar 

  3. Makris, G., El-Ganainy, R., Christodoulides, D.N., and Musslimani, Z.H., Phys. Rev. Lett., 2008, vol. 100, 103904.

    Article  ADS  Google Scholar 

  4. Ruter, C.E., Makris, G., El-Ganainy, R., et al., Nat. Phys., 2010, vol. 10, p. 192.

    Article  Google Scholar 

  5. Suchkov, S.V., Sukhorukov, A.A., Huang, J., et al., Laser Photon. Rev., 2016, vol. 10, p. 1.

    Article  Google Scholar 

  6. Konotop, V.V., Yang, J., and Zezyulin, D.A., Rev. Mod. Phys., 2016, vol. 88, no. 3, 035002.

    Article  ADS  Google Scholar 

  7. El-Ganainy, R., Makris, K.G., Khajavikhan, M., et al., Nat. Phys., 2018, vol. 14, p. 11.

    Article  Google Scholar 

  8. Feng, L., Xu, Y.-L., Fegadolli, W.S., et al., Nat. Mater., 2013, vol. 12, p. 108.

    Article  ADS  Google Scholar 

  9. Feng, L., Zhu, X., Yang, S., et al., Opt. Express, 2014, vol. 22, no. 2, p. 1760.

    Article  ADS  Google Scholar 

  10. Gu, J., Xi, X., Ma, J., Yu, Z., and Sun, X., Sci. Rep., 2016, vol. 6, 37688.

    Article  ADS  Google Scholar 

  11. Longhi, S., Sci. Rep., 2010, vol. 82, no. 3, 031801.

    Google Scholar 

  12. Li, K., Zezyulin, D.A., Kevrekidis, P.G., et al., Phys. Rev. A: At., Mol., Opt. Phys., 2013, vol. 88, 053820.

    Google Scholar 

  13. Ögren, M., Abdullaev, F.Kh., and Konotop, V.V., Opt. Lett., 2017, vol. 42, no. 20, p. 4079.

    Article  ADS  Google Scholar 

  14. Miri, M.-A., Aceves, A.B., Kottos, T., et al., Phys. Rev. A: At., Mol., Opt. Phys., 2012, vol. 86, no. 3, 033801.

    Google Scholar 

  15. Liu, J., Xie, X.-T., Shan, C.-J., et al., Laser Phys., 2015, vol. 25, 015102.

    Article  ADS  Google Scholar 

  16. Phang, S., Vukovic, A., Susanto, H., et al., Opt. Lett., 2014, vol. 39, no. 9, p. 2603.

    Article  ADS  Google Scholar 

  17. Mantsyzov, B.I., GVG v fotonnykh kristallakh. Kogerentnaya i nelineinaya optika fotonnykh kristallov (SHG in Photonic Crystals: Coherent and Nonlinear Optics of Photonic Crystals), Moscow: Fizmatlit, 2009.

  18. Conti, C., Assanto, G., and Trillo, S., Opt. Lett., 1997, vol. 22, no. 17, p. 1350.

    Article  ADS  Google Scholar 

  19. Conti, C., Assanto, G., and Trillo, S., Phys. Rev. Lett., 1997, vol. 78, p. 2341.

    Article  ADS  Google Scholar 

  20. Komissarova, M.V., Marchenko, V.F., and Shestakov, P.Yu., Phys. Rev. E, 2019, vol. 99, no. 4, 042205.

    Article  ADS  Google Scholar 

  21. Pelinovsky, D., Sears, J., Brzozowski, L., and Sargent, E.H., J. Opt. Soc. Am. B, 1997, vol. 19, p. 43.

    Article  ADS  Google Scholar 

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Funding

The work was supported by of the Interdisciplinary Scientific and Educational School of Moscow State University “Photonic and Quantum Technologies: Digital Medicine”.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, 119991, Moscow, Russia

    M. V. Komissarova, I. G. Zakharova, T. M. Lysak & A. A. Kalinovich

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  1. M. V. Komissarova
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  2. I. G. Zakharova
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  3. T. M. Lysak
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  4. A. A. Kalinovich
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Corresponding author

Correspondence to I. G. Zakharova.

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The authors declare that they have no conflicts of interest.

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Translated by N. Petrov

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Komissarova, M.V., Zakharova, I.G., Lysak, T.M. et al. Wave Beams in Active Periodic Structures with Quadratic Nonlinearity. Bull. Russ. Acad. Sci. Phys. 85, 1370–1376 (2021). https://doi.org/10.3103/S1062873821120108

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  • DOI: https://doi.org/10.3103/S1062873821120108

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