China
Africa
Explore chapters and articles related to this topic
Optics and Chaos: Chaotic, Rogue, and Noisy Optical Dissipative Solitons
Published in Christos H. Skiadas, Charilaos Skiadas, Handbook of Applications of Chaos Theory, 2017
The practically important aspect of optical rogue waves is related to modern telecommunication systems. As has been shown [241], a rogue wave can be caused by a “purely linear statistical generation of huge amplitude waves.” It means that a “rogue wave” is not something thoroughly established but rather an emerging phenomenon within a broad context.* Moreover, “long-range” (“nonlocal”) couplings induced, in particular, by SRS can substantially enhance a rogue wave-like behavior [46,82].
Inelastic interactions, numerical breathers and chaotic wave fields for a focusing Kundu–Eckhaus equation in a nonlinear optical fiber
Published in Waves in Random and Complex Media, 2021
Hui-Min Yin, Bo Tian, Xin-Chao Zhao
Rogue waves are the rare events of high amplitudes and unpredictably appear on ocean surfaces [1–7]. Research about rogue waves has been reported for ocean waves [1–4,6] and optical fibers [5,8–15]. Optical rogue waves have been reported as the rare, extreme fluctuations in, e.g., the value of an optical field [5,9,16,17]. Experiments and theories have been performed to investigate the optical rogue waves [5,8–17]. Optical pulse propagation in the monomode fiber has been described through the nonlinear Schrödinger (NLS)-type equations1, for which the Akhmediev breathers (ABs), Kuznetsov–Ma (KM) solitons, Peregrine solitons2 in finite backgrounds, along with the super-regular breathers [8,9,11,16–28].
Nonlinear tunneling of bright and dark rogue waves in combined nonlinear Schrödinger and Maxwell-Bloch systems
Published in Journal of Modern Optics, 2018
Thokala Soloman Raju, Ritu Pal
In addition to solitons, rogue waves are interesting objects to be studied in different nonlinear optical systems. These are the strongly compressed and localizedstructures with very high energy which appear on otherwise the chaotic average wave field. The rogue waves occur due to modulation instability [24–26]. Other possible cause of rogue wave generation is collision of Akhmedeiv breathers [27]. Also, the mechanism for the creation of rogue wave by the collision of multi-breathers has been explained clearly, in References [28,29]. The concept of optical rogue waves was introduced by Solli et al. [30] by creating rogue solitons in photonic crystal fibres. After that Dudley et al. [31] studied numerically the evolution dynamics of optical rogue waves and their control in supercontinuum generation (SCG). Kasparian et al. [32] experimentally observed optical rogue wave statistics during high-power femtosecond pulse filamentation in air. This stimulated the research for rogue wave and they have been studied in many other physical systems like in Bose–Einstein condensates [33], nonlinear fibre optics [34], plasmas [35], microwave [36], laser plasma interactions [37], in telecommunication data streams [38], water experiments [39]. As far as erbium-doped fibre systems are concerned, variety of rogue wave solutions have been derived for constant coefficient NLS-MB system [40,41]. Zhang et al. [42] reported rogue waves for homogeneous NLS-MB systems with higher order effects using Darboux transformations (DT). Recently, control of bright and dark rogue waves in inhomogeneous NLS-MB system has been investigated in [43]. But in this work, we study the inhomogeneous NLS-MB system in presence of external potential and obtain the tunneling of bright and dark rogue waves through different potential barriers.
Nontrivial wave-packet collision and broadening in fractional Schrodinger equation Formalism
Published in Journal of Modern Optics, 2020
It is said that all soliton-soliton collisions are fully elastic in the Kerr media, which means that the number of solitons is conserved [10]. This means that solitons can maintain their shape after collisions with other solitons [11]. For example, inelastic soliton collisions can lead to the optical rogue waves which lead to the production of powerful optical pulses [12]. An inelastic collision may also change the number of solitons [13]. Besides, we note that the inelastic soliton-soliton collisions have previously been observed in nonlinear Schrodinger equations [14].