Airy-soliton interactions in Kerr media

Abstract

We investigate and analyze temporal soliton interactions with a dispersive truncated Airy pulse traveling in a nonlinear fiber at the same center wavelength (or frequency), via split step Fourier numerical simulation. Truncated Airy pulses, which remain self-similar during propagation and have a ballistic trajectory in the retarded time frame, can interact with a nearby soliton by its accelerating wavefront property. We find by tracking the fundamental parameters of the emergent soliton-time position, amplitude, phase and frequency-that they alter due to the primary collision with the Airy main lobe and the continuous co-propagation with the dispersed Airy background. These interactions are found to resemble coherent interactions when the initial time separation is small and incoherent at others. This is due to spectral content repositioning within the Airy pulse, changing the nature of interaction from coherent to incoherent. Following the collision, the soliton intensity oscillates as it relaxes. The initial parameters of the Airy pulse such as initial phase, amplitude and time position are varied to better understand the nature of the interactions.

Guided Self-Accelerating Airy Beams—A Mini-Review

“…According to the nonlinear Schrödinger equation, the nonlinearity plays a nontrivial role in controlling the persistence as well as the breakdown of Airy beams [36][37][38]. It has been demonstrated that the main lobe of an Airy beam experiences self-phase modulation in NL media that results in the self-focusing or trapping of the beam [33]. And the field distribution of the Airy beam varies differently in different NL media [36,39].…”

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].…”

“…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]. It has been demonstrated that the main lobe of an Airy beam experiences self-phase modulation in NL media that results in the self-focusing or trapping of the beam [28]. At that, the field distribution of the Airy beam varies differently in different NL media [31,34].…”

Linear dispersive pre-defined peak amplitude modulation of spectrally modulated Airy-based pulses

“…In optics, Airy wave-packets were first introduced in the context of spatial optics Airy beams [2,3] , and the corresponding non-linear dynamics were presented in [4,5]. These ideas have also been applied in temporal optics, where the unique propagation properties of temporal Airy-based pulses has been recently investigated in both linear and non-linear media, namely in linear light bullets [6,7], soliton pulses generation [8], Airy-soliton interaction [9], supercontinuum generation [10], spectrum to distance mapping [11], linear dispersive invariant propagation by flat-topped spectrum Airy-based pulses [12,13], and linear dispersive attenuation invariant propagation by Airy-based "rocket" pulses [14]. In a similar way to optical solitons [15], optical Airy pulses exhibit temporal propagation invariance of the temporal intensity as it propagates through a linear dispersive media during a limited propagation path, until a "critical point" where the pulse breaks up [16].…”