Modulation instability and solitons in two-color nematic crystals

TL;DR

This paper investigates the stability and dynamics of two interacting waves in nematic crystals, revealing how nonlocal effects influence modulation instability and conditions for stable soliton propagation.

Contribution

It derives conditions for stable wave evolution and soliton behavior in nematic crystals, highlighting the impact of nonlocal interactions on stability and mutual guiding.

Findings

Nonlocal terms suppress modulation growth rates.

Coupled waves have higher growth rates than scalar waves.

Stable, undistorted solitons can form under certain conditions.

Abstract

The conditions under which stable evolution of two nonlinear interacting waves are derived within the context of nematic crystals. Two cases are considered: plane waves and solitons. In the first case, the modulation instability analysis reveals that while the nonlocal term suppresses the growth rates, substantially, the coupled system exhibits significantly higher growth rates than its scalar counterpart. In the soliton case, the necessary conditions are derived that lead the solitons to exhibit stable, undistorted evolution, suppressing any breathing behavior and radiation, leading to soliton mutual guiding.