Impact of harmonic potential induced nonlinearity on Airy pulse propagation

Abstract

We numerically investigate the propagation dynamics of truncated Airy pulse in the presence of external harmonic potential. These optical potentials are generated by co-propagating time-dependent strong pump wave that interacts with the weak signal pulse through cross-phase modulation. We demonstrate that Airy pulse trajectory can be manipulated by utilizing a sinusoidal optical potential and soliton shedding is observed in both normal and anomalous group velocity dispersion. The intensity of the emergent soliton depends upon the strength of the potential. Additionally, the potential strength significantly affects the oscillations and temporal position of the peak intensity of the soliton. Further, the impact of the truncation parameter on the Airy pulse accelerating tail and spectrum is explored. Importantly, we have numerically explored the evolution of the temporal chirp of the pulse in various conditions. The temporal chirp is almost zero at the position where the intensity peaks. Also, we show that relative phase of the optical harmonic potential play a vital role in the soliton formation.