Vector spatial solitons: off-axis nonparaxiality in coupled Helmholtz equations

Bostock, C, Christian, JM ORCID: and McDonald, GS ORCID: 2012, Vector spatial solitons: off-axis nonparaxiality in coupled Helmholtz equations , in: College of Science and Technology Research Showcase Day, 20th June 2012, University of Salford, Greater Manchester, UK.

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Vector spatial solitons are complex optical beams with several distinct components. These components (which may be bright-like and/or dark-like) are localized in space and tend to overlap strongly in the propagation plane, thereby allowing the interplay between diffraction and nonlinear effects (e.g., self- and mutual-focusing) to result in stationary light structures. Our group has proposed a more complete and realistic model for describing two-colour vector phenomena, where each electric-field component is at a distinct optical frequency. A key feature of our approach is that one may access multi-colour geometries involving beam propagation at arbitrary angles and orientations with respect to the reference direction in the laboratory frame – such considerations are central to technological device architectures involving multiplexing and interface geometries, but lie far outside the reach of conventional theory [1,2]. We have recently solved the modulational instability problem (which is 4x4 in nature) exactly [3], and extensive computations have confirmed theoretical predictions (e.g., the instability of bright-dark solitons in a focusing Kerr medium). New families of exact analytical two-colour solitons have also been derived, each of which has co-propagation and counter-propagation classes that are related by geometrical transformation. References: [1] R. De La Fuente and A. Barthelemy, Opt. Commun. 88, 419 (1992). [2] M. Shalaby and A. J. Barthelemy, IEEE J. Quantum Electron. 28, 2736 (1992). [3] C. Bostock, MPhil thesis "Two-colour Helmholtz solitons with a defocusing Kerr nonlinearity," University of Salford (2011).

Item Type: Conference or Workshop Item (Poster)
Themes: Media, Digital Technology and the Creative Economy
Subjects outside of the University Themes
Schools: Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Publisher: University of Salford
Refereed: Yes
Depositing User: JM Christian
Date Deposited: 17 Jul 2012 12:19
Last Modified: 15 Feb 2022 18:16

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