Gap solitons in nonlinear spatiotemporal photonic crystals and gratings

Fabio Biancalana, Andreas Amann, Eoin P. O'Reilly

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationPhotonic Crystal Materials and Devices VIII
EditorsRichard M De La Rue, Ceferino López, Michele Midrio, Pierre Viktorovitch
PublisherSPIE
Number of pages8
Volume6989
ISBN (Print)9780819471871
DOIs
Publication statusPublished - 2008
EventConference on Photonic Crystal Materials and Devices VIII - Strasbourg, France
Duration: 7 Apr 200810 Apr 2008

Publication series

NameProceedings of SPIE
PublisherSPIE
Volume6989
ISSN (Print)1996-756X

Conference

ConferenceConference on Photonic Crystal Materials and Devices VIII
CountryFrance
CityStrasbourg
Period7/04/0810/04/08

Cite this

Biancalana, F., Amann, A., & O'Reilly, E. P. (2008). Gap solitons in nonlinear spatiotemporal photonic crystals and gratings. In R. M. De La Rue, C. López, M. Midrio, & P. Viktorovitch (Eds.), Photonic Crystal Materials and Devices VIII (Vol. 6989). (Proceedings of SPIE; Vol. 6989). SPIE. https://doi.org/10.1117/12.767235