Transversely Stable Soliton Trains in Photonic Lattices

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.

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References in corpus (3)

• Bifurcations and stability of gap solitons in periodic potentials
• Solitary Waves Bifurcated from Bloch Band Edges in Two-dimensional Periodic Media
• Observation of transverse instabilities in optically-induced lattices

Cited by in corpus (4)

• On transverse stability of discrete line solitons
• Transverse instability of line solitons in massive Dirac equations
• Transverse instability and dynamics of nonlocal bright solitons
• Exponential asymptotics for line solitons in two-dimensional periodic potentials