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
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
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We discover single and homocentric optical spheres of the three-dimensional inhomogeneous nonlinear Schr?dinger equation (NLSE) with spherical symmetry, which is a novel model of light bullets that can present a three-dimensional rogue wave. The isosurface of this light bullet oscillates along the radius direction and does not travel with the evolution of time. The localized nature of rogue wave light bullets both in space and in time, which is in complete contrast to the traveling character of the usual light bullets, is due to the localization of the rogue wave in the one-dimensional NLSE. We present also an investigation of the stability of the optical sphere solutions. The lower modes of perturbation are found to display transverse instabilities that break the spherical symmetry of the system. For the higher modes, the optical sphere solutions can be classified as stable solutions.
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