Dark & anti-dark spatiotemporal solitons: From cubic to cubic-quintic systems

Cowey, R, Christian, J M ORCID: https://orcid.org/0000-0003-2742-0569 and McDonald, G S 2013, Dark & anti-dark spatiotemporal solitons: From cubic to cubic-quintic systems , in: College of Science & Technology Research Showcase, 19th June 2013, University of Salford, Greater Manchester M5 4WT, U.K..

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The origin of conventional models for optical pulse propagation lies in the universal slowly-varying envelope approximation (SVEA) accompanied by a Galilean boost to the local time frame. However, Biancalana and Creatore [1] have recently pointed out that the SVEA is not necessarily compatible with physical contexts involving spatial dispersion [2]. Their proposal has prompted us to reassess the way in which conventional pulse theory handles the linear part of the wave operator. In so-doing, we have constructed a framework for scalar optical pulses that is based upon transformation laws and frame-of-reference considerations [3]. Here, we present our most recent research analysing soliton propagation in systems with the universal cubic-quintic type of nonlinearity [4]. By deploying a range of analytical methods, we have been able to derive exact spatiotemporal dark and anti-dark solitons. These structures have a strongly geometrical flavour that is tightly connected to the symmetry properties of the governing equation. Multi-parameter asymptotic analyses demonstrate that classic conventional solitons are a subset of our new solutions. Extensive numerical calculations have also predicted a high degree of robustness of bright and dark pulses [see Figs. 1(a) and 1(b), respectively] against local perturbations to their temporal shape. References [1] F. Biancalana and C. Creatore, Opt. Express 16, 14882 (2008). [2] V. M Agranovich and V. L. Ginzburg, Crystal optics with spatial dispersion, and excitons (Springer, Berlin, 1984). [3] J. M. Christian, G. S. McDonald, T. F. Hodgkinson, and P. Chamorro-Posada, Phys. Rev. Lett. 108, 033101 (2012). [4] K. I. Pushkarov, D. I. Pushkarov, and I. V. Tomov, Opt. Quantum Electron. 11, 471 (1979).

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
Refereed: Yes
Funders: University of Salford
Depositing User: JM Christian
Date Deposited: 10 Jun 2013 11:35
Last Modified: 15 Feb 2022 18:20
URI: http://usir.salford.ac.uk/id/eprint/29296

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