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Phys. Rev. A 77, 011801(R) (2008) [4 pages]

Gap solitons in spatiotemporal photonic crystals

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Fabio Biancalana*
Department of Physics and Astronomy, Cardiff University, Queen's Buildings, The Parade, CF24 3AA, Cardiff, United Kingdom

Andreas Amann and Eoin P. O’Reilly
Tyndall National Institute, Lee Maltings, Cork, Ireland

Received 1 June 2007; published 7 January 2008

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. Additional gap soliton solutions are found analytically. They represent a generalization of the gap solitons in static photonic crystals and resonance solitons found in dynamic gratings.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.011801
DOI:
10.1103/PhysRevA.77.011801
PACS:
42.65.Tg

*biancalanaf@cf.ac.uk; URL: http://www.astro.cf.ac.uk/pub/Fabio.Biancalana