Gap solitons in spatiotemporal photonic crystals

Details Gap solitons in spatiotemporal photonic crystals Gap solitons in spatiotemporal photonic crystals

2007-06-11

arxiv.org/abs/0706.1461v1

Physics

Optics

3 figures, submitted

Scientific paper

10.1103/PhysRevA.77.011801

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.

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