• Photonics Research
  • Vol. 9, Issue 4, 643 (2021)
Jingsong He1、*, Yufeng Song2, C. G. L. Tiofack3、4, and M. Taki4
Author Affiliations
  • 1Institute for Advanced Study, Shenzhen University, Shenzhen 518060, China
  • 2Intelligent Internet of Things and Intelligent Manufacturing Center, College of Electronics and Information Engineering, Shenzhen University, Shenzhen 518060, China
  • 3Faculty of Sciences, University of Maroua, Maroua, Cameroon
  • 4Univ. Lille, CNRS, UMR 8523—PhLAM—Physique des Lasers Atomes et Molecules, F-59000 Lille, France
  • show less
    DOI: 10.1364/PRJ.415687 Cite this Article Set citation alerts
    Jingsong He, Yufeng Song, C. G. L. Tiofack, M. Taki. Rogue wave light bullets of the three-dimensional inhomogeneous nonlinear Schrödinger equation[J]. Photonics Research, 2021, 9(4): 643 Copy Citation Text show less
    References

    [1] Y. Kivshar, G. Agrawal. Optical Solitons(2003).

    [2] R. Alfano. The Supercontinuum Laser Source: Fundamentals with Updated References(2006).

    [3] L. F. Mollenauer, R. H. Stolen. The soliton laser. Opt. Lett., 9, 13-15(1984).

    [4] D. Solli, C. Ropers, P. Koonath, B. Jalali. Optical rogue waves. Nature, 450, 1054-1057(2007).

    [5] N. Akhmediev, A. Ankiewicz, J. M. Soto-Crespo. Rogue waves and rational solutions of the nonlinear Schrödinger equation. Phys. Rev. E, 80, 026601(2009).

    [6] N. Akhmediev, A. Ankiewicz, M. Taki. Waves that appear from nowhere and disappear without a trace. Phys. Lett. A, 373, 675-678(2009).

    [7] D. Kedziora, A. Ankiewicz, N. Akhmediev. Circular rogue wave clusters. Phys. Rev. E, 84, 056611(2011).

    [8] Y. V. Bludov, V. V. Konotop, N. Akhmediev. Matter rogue waves. Phys. Rev. A, 80, 033610(2009).

    [9] Y. V. Bludov, V. V. Konotop, N. Akhmediev. Vector rogue waves in binary mixtures of Bose-Einstein condensates. Eur. Phys. J. Spec. Top., 185, 169-180(2010).

    [10] A. Montina, U. Bortolozzo, S. Residori, F. T. Arecchi. Non-Gaussian statistics and extreme waves in a nonlinear optical cavity. Phys. Rev. Lett., 103, 173901(2009).

    [11] R. Höhmann, U. Kuhl, H. J. Stöckmann, L. Kaplan, E. J. Heller. Freak waves in the linear regime: a microwave study. Phys. Rev. Lett., 104, 093901(2010).

    [12] M. Onorato, S. Residori, U. Bortolozzo, A. Montinad, F. T. Arecchi. Rogue waves and their generating mechanisms in different physical contexts. Phys. Rep., 528, 47-89(2013).

    [13] C. Kharif, E. Pelinovsky, A. Slunyaev. Rogue Waves in the Ocean(2009).

    [14] A. N. Ganshin, V. B. Efimov, G. V. Kolmakov, L. P. Mezhov-Deglin, P. V. E. McClintock. Observation of an inverse energy cascade in developed acoustic turbulence in superfluid helium. Phys. Rev. Lett., 101, 065303(2008).

    [15] W. M. Moslem. Langmuir rogue waves in electron-positron plasmas. Phys. Plasmas, 18, 032301(2011).

    [16] H. Bailung, S. K. Sharma, Y. Nakamura. Observation of Peregrine solitons in a multicomponent plasma with negative ions. Phys. Rev. Lett., 107, 255005(2011).

    [17] J. M. Dudley, G. Genty, A. Mussot, A. Chabchoub, F. Dias. Rogue waves and analogies in optics and oceanography. Nat. Rev. Phys., 1, 675-689(2019).

    [18] Y. F. Song, Z. H. Wang, C. Wang, K. Panajotov, H. Zhang. Recent progress on optical rogue waves in fiber lasers: status, challenges, and perspectives. Adv. Photon., 2, 024001(2020).

    [19] J. J. Rasmussen, K. Rypdal. Blow-up in nonlinear Schröedinger equations-I: a general review. Phys. Scr., 33, 481-497(1986).

    [20] Y. Silberberg. Collapse of optical pulse. Opt. Lett., 15, 1282-1284(1990).

    [21] B. A. Malomed, D. Mihalache, F. Wise, L. Torner. Spatiotemporal optical solitons. J. Opt. B, 7, R53-R72(2005).

    [22] I. Towers, B. A. Malomed. Stable (2+1)-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity. J. Opt. Soc. Am. B, 19, 537-543(2002).

    [23] M. Matuszewski, M. Trippenbach, B. A. Malomed, E. Infeld, A. A. Skorupski. Two-dimensional dispersion-managed light bullets in Kerr media. Phys. Rev. E, 70, 016603(2004).

    [24] L. Torner, S. Carrasco, J. P. Torres, L.-C. Crasovan, D. Mihalache. Tandem light bullets. Opt. Commun., 199, 277-281(2001).

    [25] L. Torner, Y. V. Kartashov. Light bullets in optical tandems. Opt. Lett., 34, 1129-1131(2009).

    [26] H. Saito, M. Ueda. Dynamically stabilized bright solitons in a two-dimensional Bose-Einstein condensate. Phys. Rev. Lett., 90, 040403(2003).

    [27] K. D. Moll, A. L. Gaeta, G. Fibich. Self-similar optical wave collapse: observation of the Townes profile. Phys. Rev. Lett., 90, 203902(2003).

    [28] W. P. Zhong, M. Belic, G. Assanto, B. A. Malomed, T. Huang. Light bullets in the spatiotemporal nonlinear Schrodinger equation with a variable negative diffraction coefficient. Phys. Rev. A, 84, 043801(2011).

    [29] A. L. Gaeta. Optics. Collapsing light really shines. Science, 301, 54-55(2003).

    [30] M. Belic, N. Petrovic, W. P. Zhong, R. H. Xie, G. Chen. Analytical light bullet solutions to the generalized (3 + 1)-dimensional nonlinear Schrodinger equation. Phys. Rev. Lett., 101, 123904(2008).

    [31] N. Petrovic, M. Belic, W. P. Zhong, R. H. Xie, G. Chen. Exact spatiotemporal wave and soliton solutions to the generalized (3 + 1)-dimensional Schrödinger equation for both normal and anomalous dispersion. Opt. Lett., 34, 1609-1611(2009).

    [32] Z. Y. Yan, V. V. Konotop. Exact solutions to three-dimensional generalized nonlinear Schrödinger equations with varying potential and nonlinearities. Phys. Rev. E, 80, 036607(2009).

    [33] Z. Y. Yan, V. V. Konotop, N. Akhmediev. Three-dimensional rogue waves in nonstationary parabolic potentials. Phys. Rev. E, 82, 036610(2010).

    [34] S. Chen, J. M. Soto-Crespo, F. Baronio, P. Grelu, D. Mihalache. Rogue-wave bullets in a composite (2+1)D nonlinear medium. Opt. Express, 24, 15251-15260(2016).

    [35] L. Pitaevskii, S. Stringari. Bose-Einstein Condensation(2003).

    [36] Z. Y. Yan, C. Hang. Analytical three-dimensional bright solitons and soliton pairs in Bose-Einstein condensates with time-space modulation. Phys. Rev. A, 80, 063626(2009).

    [37] F. Dalfovo, S. Giorgini, L. P. Pitaevskii, S. Stringari. Theory of Bose-Einstein condensation in trapped gases. Rev. Mod. Phys., 71, 463-512(1999).

    [38] J. Belmonte-Beitia, V. M. Perez-Garcia, V. Vekslerchik, P. J. Torres. Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities. Phys. Rev. Lett., 98, 064102(2007).

    [39] J. S. He, Y. Li. Designable integrability of the variable coefficient nonlinear Schrodinger equations. Stud. Appl. Math., 126, 1-15(2010).

    [40] Y. Y. Wang, J. S. He, Y. S. Li. Soliton and rogue wave solution of the new nonautonomous nonlinear Schrödinger equation. Commun. Theor. Phys., 56, 995-1004(2011).

    [41] Y. V. Kartashov, B. A. Malomed, L. Torner. Solitons in nonlinear lattices. Rev. Mod. Phys., 83, 247-305(2011).

    [42] D. M. Bauer, M. Lettner, C. Vo, G. Rempe, S. Dürr. Control of a magnetic Feshbach resonance with laser light. Nat. Phys., 5, 339-342(2009).

    [43] R. Yamazaki, S. Taie, S. Sugawa, Y. Takahashi. Submicron spatial modulation of an interatomic interaction in a Bose-Einstein condensate. Phys. Rev. Lett., 105, 050405(2010).

    [44] A. Fuerbach, P. Steinvurzel, J. A. Bolger, A. Nulsen, B. J. Eggleton. Nonlinear propagation effects in antiresonant high-index inclusion photonic crystal fibers. Opt. Lett., 30, 830-832(2005).

    [45] C. R. Rosberg, F. H. Bennet, D. N. Neshev, P. D. Rasmussen, O. Bang, W. Krolikowski, A. Bjarklev, Y. S. Kivshar. Tunable diffraction and self-defocusing in liquid-filled photonic crystal fibers. Opt. Express, 15, 12145-12150(2007).

    [46] D. H. Peregrine. Water waves, nonlinear Schrödinger equations and their solutions. J. Aust. Math. Soc. B, 25, 16-43(1983).

    [47] N. N. Akhmediev, V. M. Eleonskii, N. E. Kulagin. Generation of periodic trains of picoseconld pulses in an optical fiber: exact solutions. Z. Eksp. Teor. Fiz., 89, 1542-1551(1985).

    [48] J. S. He, H. R. Zhang, L. H. Wang, K. Porsezian, A. S. Fokas. Generating mechanism for higher-order rogue waves. Phys. Rev. E, 87, 052914(2013).

    [49] L. H. Wang, J. S. He, H. Xu, J. Wang, K. Porsezian. Generation of higher-order rogue waves from multibreathers by double degeneracy in an optical fiber. Phys. Rev. E, 95, 042217(2017).

    [50] D. E. Edmundson. Unstable higher modes of a three-dimensional nonlinear Schrödinger equation. Phys. Rev. E, 55, 7636(1997).

    [51] J. M. Soto-Crespo, D. R. Heatley, E. M. Wright. Stability of the higher-bound states in a saturable self-focusing medium. Phys. Rev. E, 44, 636-644(1991).

    [52] W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling. Numerical Recipes(1986).

    [53] R. Driven, Y. V. Kartashov, B. A. Malomed, T. Meier, L. Torner. Three-dimensional hybrid vortex solitons. New J. Phys., 16, 063035(2014).

    [54] M. Leonetti, C. Conti. Observation of three dimensional optical rogue waves through obstacles. Appl. Phys. Lett., 106, 254103(2015).

    [55] Y. Y. Tsai, J. Y. Tsai, I. Lin. Generation of acoustic rogue waves in dusty plasmas through three-dimensional particle focusing by distorted waveforms. Nat. Phys., 12, 573-577(2016).

    Jingsong He, Yufeng Song, C. G. L. Tiofack, M. Taki. Rogue wave light bullets of the three-dimensional inhomogeneous nonlinear Schrödinger equation[J]. Photonics Research, 2021, 9(4): 643
    Download Citation