Dynamics of Airy pulse under phase modulation: Few interesting aspects

TL;DR

This paper explores how phase modulation, especially cubic phase modulation, influences the propagation and stability of Airy pulses under third order dispersion, revealing methods to preserve pulse shape and control its dynamics.

Contribution

It provides analytical and numerical insights into how phase modulation can counteract dispersion effects and stabilize Airy pulses, including the transformation into Gaussian pulses.

Findings

Cubic phase modulation acts as a self-healing mechanism against third order dispersion.

Proper phase modulation can prevent temporal flipping of Airy pulses.

Airy pulses can be focused into Gaussian pulses using quadratic phase modulation.

Abstract

In this work we have tried to study the interesting dynamics of Airy pulse under phase modulation. We investigate the role of linear, quadratic and cubic phase modulation on Airy pulse dynamics in pure linear regime. As a specific example, we study the influence of cubic phase modulation (CPM) as a self healing effect when the propagation dynamics of a finite energy Airy pulse is perturbed under the third order dispersion (TOD). As a consequence of TOD, the pulse flips in time domain and propagates with a reverse acceleration. This unusual propagation characteristic can be restricted through CPM which counterbalance the TOD induced flipping phenomenon. With proper analytical and numerical treatment we demonstrate, how CPM not only resists the temporal flipping but helps in preserving the pulse shape under perturbation. We put special emphasis on the study of the Airy pulse at flipping point where it loses its characteristic shape and converts itself to a pure Gaussian pulse. We derive the Gaussian width analytically and demonstrate that a suitable quadratic phase modulation can focus the Airy pulse to a point and leads to a chirp-free Gaussian pulse. The present study is useful in understanding the physical insight of the unique Airy dynamic under phase modulation