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Gap solitons in nonlinear spatiotemporal photonic crystals and gratings

Proc. SPIE 6989, 698909 (2008); http://dx.doi.org/10.1117/12.767235

Tuesday 8 April 2008
Strasbourg, France
Photonic Crystal Materials and Devices VIII
Richard M. De La Rue, Ceferino López, Michele Midrio, Pierre Viktorovitch
Fabio Biancalana

Cardiff Univ. (United Kingdom)

Andreas Amann and Eoin P. O'Reilly

Tyndall National Institute (Ireland)

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.

© 2008 COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

History
Online Apr 21, 2008
Citation
Fabio Biancalana, Andreas Amann and Eoin P. O'Reilly, "Gap solitons in nonlinear spatiotemporal photonic crystals and gratings", Proc. SPIE 6989, 698909 (2008); http://dx.doi.org/10.1117/12.767235

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