Helmholtz solitons: fresh perspectives and new angles in photonics

Christian, JM ORCID: https://orcid.org/0000-0003-2742-0569, Mcdonald, GS ORCID: https://orcid.org/0000-0002-1304-5182 and Chamorro-Posada, P 2008, Helmholtz solitons: fresh perspectives and new angles in photonics , in: National Photonics Conference, Photon 08, 26-29 Aug, 2008, Heriot-Watt University, Edinburgh, UK.

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Spatial solitons are self-localizing optical beams that can evolve with a stationary intensity profile when diffraction is off-set by material nonlinearity. Classic descriptions of spatial solitons [1] involve the paraxial approximation, which can impose strong constraints on the experimental geometries that can be accurately modelled. For example, even very simple beam configurations, interaction or material-interface scenarios [2] have intrinsically angular characters that are outside the remit of paraxial theory. Helmholtz soliton theory provides a full description of scalar optical beams in uniform two-dimensional planar waveguides [3]. Crucially, these two spatial dimensions are physically equivalent. By respecting this fundamental symmetry, the governing equation supports beam propagation arbitrary angles relative to the reference direction. In this way, one can exploit the full angular characters of interaction and interface geometries [3]. Here, we provide a complete account of the first exact analytical bistable soliton solutions that have been derived for nonlinear Helmholtz equations. These novel solitons provide the physical and mathematical basis for designing novel photonic devices that combine the phemonenon of non-degenerate bistability with arbitrary-angle interaction and oblique- incidence effects [4]. Both bright and dark solutions have been derived for a range of experimentally-important materials (e.g., cubic-quintic and saturable nonlinearities), and their geometry explored in detail. Extensive computer simulations have verified analytical predictions regarding the stability of the new solitons, which are generally robust entities. References [1] V. E. Zakharov and A. B. Shabat, Sov. Phys. JETP 34 62 (1972); 37, 823 (1973). [2] J. P. Gordon, Opt. Lett. 8, 596 (1983); O. Cohen et al., Opt. Lett. 27, 2013 (2002). [3] P. Chamorro-Posada and G. S. McDonald, Phys. Rev. E 74, 036609 (2006); J. Sánchez- Curto, P. Chamorro-Posada, and G. S. McDonald, Opt. Lett. 32, 1126 (2007). [4] S. Gatz and J. Herrmann, IEEE J. Quant. Electron. 28, 1732 (1992); J. M. Christian, G. S. McDonald, and P. Chamorro-Posada, Phys. Rev. A 76, 033833 (2007).

Item Type: Conference or Workshop Item (Poster)
Themes: Energy
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
Journal or Publication Title: Technical Digest: National Photonics Conference, Photon 08, Edinburgh, 2008
Publisher: Institute of Physics (IoP)
Refereed: Yes
Depositing User: GS McDonald
Date Deposited: 14 Oct 2011 08:20
Last Modified: 27 Aug 2021 20:00
URI: http://usir.salford.ac.uk/id/eprint/18307

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