Research on the interaction of Airy pulse and soliton in the anomalous dispersion region

Abstract

Based on the split step Fourier method, the interaction between soliton and Airy pulse is studied in the anomalous dispersion region. And after that the strength, time-domain, and time-shift are simulated by the software of MATLAB, respectively. Results show that cross phase modulation (XPM) builds up when soliton and Airy pulse begin to overlap, which affects the properties of the two pulses. The soliton keeps its original shape but the direction of propagation is deflected by the influence of Airy pulse's self-acceleration. Airy pulse converts to soliton and the direction of propagation changes due to XPM. Therefore, the properties of Airy pulse and soliton are interacted with each other because of XPM. The time-domain of the two pulses is also influenced by XPM and their different shapes will change so as to contain a main and a secondary peaks whose structures are similar and the location and pulse width of the main and the secondary peaks are also roughly the same, which is the basis for Airy pulse to convert to soliton. In addition, the change of Airy pulse and soliton is simulated for different input intensity value of r. Simulation shows that the time-shifts of Airy pulse and soliton increase with increasing input intensity r and their variation trends are the same.