Collision-mediated radiation due to Airy-soliton interaction in nonlinear Kerr medium

TL;DR

This paper investigates how Airy pulses and solitons interact in a Kerr medium with third order dispersion, leading to collision-induced radiation whose characteristics depend on the dispersion sign, validated through theory and simulations.

Contribution

It introduces a theoretical framework explaining collision-mediated radiation in Airy-soliton interactions under third order dispersion, supported by numerical validation.

Findings

Radiation appears during Airy-soliton collision in Kerr medium with TOD.

Radiation frequency shifts depend on the sign of TOD.

Theoretical predictions agree with numerical simulations.

Abstract

We study the interaction of a co-propagating finite energy Airy pulse and a soliton in a Kerr medium under third order dispersion. It is observed that a strong radiation appears when selfaccelerating Airy pulse collides with a delayed soliton in time domain. We confirm both analytically and numerically that this radiation can only be initiated in the environment of third order dispersion (TOD). The radiation frequency is red or blue shifted depending on the numeric sign of TOD parameter. We adopt a simple Si-based waveguide to validate the normalised parameter that we use for the analysis. We develop a theory to explain the collision-mediated radiation and our theoretical results are found to be in good agreement with the direct numerical modelling of the generalised nonlinear Schrodinger equation (GNLSE).