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- W148969639 abstract "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)." @default.
- W148969639 created "2016-06-24" @default.
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- W148969639 date "2013-06-19" @default.
- W148969639 modified "2023-09-27" @default.
- W148969639 title "Dark & anti-dark spatiotemporal solitons: From cubic to cubic-quintic systems" @default.
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