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Proceedings Paper

Gap solitons in nonlinear spatiotemporal photonic crystals and gratings
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Paper Abstract

We have generalized the concept of nonlinear periodic structures to dielectric systems that show arbitrary spatial and temporal 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 Bragg gratings. Novel 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.

Paper Details

Date Published: 21 April 2008
PDF: 8 pages
Proc. SPIE 6989, Photonic Crystal Materials and Devices VIII, 698909 (21 April 2008); doi: 10.1117/12.767235
Show Author Affiliations
Fabio Biancalana, Cardiff Univ. (United Kingdom)
Andreas Amann, Tyndall National Institute (Ireland)
Eoin P. O'Reilly, Tyndall National Institute (Ireland)


Published in SPIE Proceedings Vol. 6989:
Photonic Crystal Materials and Devices VIII
Richard M. De La Rue; Ceferino López; Michele Midrio; Pierre Viktorovitch, Editor(s)

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