Transversely Stable Soliton Trains in Photonic Lattices

TL;DR

This paper demonstrates the existence of transversely stable soliton trains in two-dimensional photonic lattices, highlighting conditions for their stability and the influence of amplitude and bifurcation points.

Contribution

It identifies specific conditions under which stable soliton trains form in photonic lattices, including bifurcation from X-symmetry points and amplitude thresholds.

Findings

Stable soliton trains exist in 2D photonic lattices from X-symmetry points.

Low amplitude or edge-bifurcated soliton trains are transversely unstable.

Results are validated in both continuous and discrete lattice models.

Abstract

We report the existence of transversely stable soliton trains in optics. These stable soliton trains are found in two-dimensional square photonic lattices when they bifurcate from X-symmetry points with saddle-shaped diffraction inside the first Bloch band and their amplitudes are above a certain threshold. We also show that soliton trains with low amplitudes or bifurcated from edges of the first Bloch band (Gamma and M points) still suffer transverse instability. These results are obtained in the continuous lattice model and further corroborated by the discrete model.