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Coupled spatiotemporal waves: New paradigms in vector soliton physics

Ashley, J T, Christian, JM and McDonald, GS 2013, Coupled spatiotemporal waves: New paradigms in vector soliton physics , in: College of Science & Technology Research Showcase, 19th June 2013, University of Salford. (In Press)

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Abstract

In this presentation, we propose a novel spatiotemporal generalization of Menyuk’s classic equations [1] describing the propagation of two nonlinearly-coupled waves in a dispersive optical system (such as a fibre or planar waveguide). Our approach is similar in spirit to that recently introduced by Christian et al. [2] in a single-component context: both analyses are firmly rooted in special relativity-inspired frame-of-reference considerations, and are concerned with the universal properties of waves in fully second-order systems (where evolution is allowed to venture beyond the realms of the ubiquitous slowly-varying envelope approximation). Research highlights include the complete solution of the modulational instability (MI) problem for vectorized spatiotemporal continuous-wave solutions (the characteristic equation turns out to be an eighth-degree polynomial, rather than a quartic [1]). Predictions of the most-unstable frequency in the system, obtained from consultation of the MI spectrum, are in full agreement with extensive numerical calculations [see Figs. 1(a) & 1(b)]. We have also derived exact bright-bright solitons and investigated some of their key characteristics (e.g., robustness and the asymptotic recovery of Menyuk-type solutions). Future work will address spatiotemporal vector dark solitons [3,4] [see Fig. 1(c)]. References [1] C. R. Menyuk, IEEE J. Quantum Electron. QE-23, 174 (1987). [2] J. M. Christian, G. S. McDonald, T. F. Hodgkinson, and P. Chamorro-Posada, Phys. Rev. Lett. 108, 034101 (2012). [3] V. V Afanasyev, Y. S. Kivshar, V. V. Konotop, and V. N. Serkin, Opt. Lett. 14, 805 (1989). [4] Y. S. Kivshar and S. K. Turitsyn, Opt. Lett. 18, 337 (1993).

Item Type: Conference or Workshop Item (Paper)
Themes: Energy
Subjects outside of the University Themes
Schools: Schools > School of Computing, Science and Engineering
Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre (SIRC)
Refereed: Yes
Funders: University of Salford
Depositing User: JM Christian
Date Deposited: 11 Jun 2013 07:29
Last Modified: 29 Oct 2015 00:10
URI: http://usir.salford.ac.uk/id/eprint/29298

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