Soliton shedding from Airy pulses in Kerr media

Abstract

We simulate and analyze the propagation of truncated temporal Airy pulses in a single mode fiber in the presence of self-phase modulation and anomalous dispersion as a function of the launched Airy power and truncation coefficient. Soliton pulse shedding is observed, where the emergent soliton parameters depend on the launched Airy pulse characteristics. The Soliton temporal position shifts to earlier times with higher launched powers due to an earlier shedding event and with greater energy in the Airy tail due to collisions with the accelerating lobes. In spite of the Airy energy loss to the shed Soliton, the Airy pulse continues to exhibit the unique property of acceleration in time and the main lobe recovers from the energy loss (healing property of Airy waveforms).

Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media

“…So, the attraction is the biggest when B = 1 and the period of the formed soliton is then the smallest. It is also worth mentioning that the solitons are generated from the main lobes and that the acceleration property of the main lobes, as well as of the solitons, is absent [15,31]. No accelerating beams as a result of interaction are seen (unless one considers the wiggling breathers as "accelerating" beams.…”

“…Until now, the experimental observation of Airy beams [2], Airy beams in NL materials [5,14], and accelerating nonlinear beams [26,29,30] in NL materials has been reported. In theory, the splitting of Airy waves into solitons in a Kerr medium was analyzed in [31] and related to this, the splitting of higher-order solitons into a chain of fundamental solitons under the action of third-order dispersion was reported in [32]. But, the interaction of two Airy beams or two nonlinear accelerating beams is barely discussed.…”

Reflection and refraction of an Airy beam at a dielectric interface

“…The resulting Airy pulses can propagate with acceleration and minimum shape distortion over several dispersion lengths in media with quadratic or cubic dispersion [23]. These unique waveforms have so far found application for generating dispersion-and diffraction-resisting optical bullets [24], optical solitons [25], and supercontinua [26].…”

Guided Self-Accelerating Airy Beams—A Mini-Review

“…In 2009, Ellenbogen et al produced an Airy beam in an asymmetrically modulated quadratic optical NL medium by the three-wave mixing process [25]. This novel nonlinear generation method not only produced an Airy beam at a new wavelength and a higher energy, but also provided new possibilities for manipulating the dynamics of Airy beams in NL media [26][27][28][29][30]. According to the nonlinear Schrödinger equation, the nonlinearity plays a nontrivial role in controlling the persistence as well as the breakdown of Airy beams [31][32][33].…”