Gap solitons in spatiotemporal photonic crystals

Abstract

We generalize the concept of nonlinear periodic structures to systems that show arbitrary spacetime variations of the refractive index. Nonlinear pulse propagation through these spatiotemporal photonic crystals can be described, for shallow nonstationary gratings, by coupled mode equations which are a generalization of the traditional equations used for stationary photonic crystals. Novel gap soliton solutions are found by solving a modified massive Thirring model. They represent the missing link between the gap solitons in static photonic crystals and resonance solitons found in dynamic gratings.

arXiv comment3 figures, submitted

References in corpus (2)

• Dynamics of light propagation in spatiotemporal dielectric structures
• Bifurcation of gap solitons through catastrophe theory

Cited by in corpus (6)

• Photonic time crystals: Theory and applications
• Superluminal k-gap solitons in nonlinear photonic time-crystals
• Strong Raman-induced non-instantaneous soliton interactions in gas-filled photonic crystal fibers
• Gap solitons in grating superstructures
• Gap solitons attached to a gapless layer
• Autoresonant excitation of space-time quasicrystals in plasma