Spatial soliton refraction at cubic-quintic material interfaces
McCoy, EA, Christian, JM and McDonald, GS 2011, Spatial soliton refraction at cubic-quintic material interfaces , in: Salford Postgraduate Annual Research Conference (SPARC 11), 8th - 9th June 2011, University of Salford, Greater Manchester, UK.
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In their most general form, wave–interface problems are inherently angular in nature. For instance, the interaction between light waves and material boundaries essentially defines the entire field of optics . The seminal works of Aceves et al. [2,3] considered scalar bright spatial solitons impinging on the interface between two Kerr-type media with different dielectric parameters. While these classic analyses paved the way toward understanding how self-collimated light beams behave at medium discontinuities, they suffer from a fundamental limitation: the assumption of slowly-varying wave envelopes means that, in the laboratory frame, angles of incidence, reflection and refraction (relative to the interface) must be of vanishingly small magnitude. Over the last few years, the angular restriction of conventional (paraxial) nonlinear-Schrödinger modelling has been lifted by deploying a more flexible nonlinear-Helmholtz approach . This mathematical platform is ideally suited to capturing the oblique-propagation aspects of interface scenarios We will report our latest research involving arbitrary-angle soliton refraction in more general classes of cubic-quintic materials , for which exact analytical bright  and dark  Helmholtz solitons are now known. A novel Snell’s law will be detailed that allows for both finite-beam effects and medium mismatches. Numerical computations test analytical predictions of soliton refraction and critical angles over a wide range of parameter regimes. Qualitatively new phenomena are also uncovered by simulations in both small- and large-angle regimes.
|Item Type:||Conference or Workshop Item (Poster)|
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 (SIRC)|
|Depositing User:||JM Christian|
|Date Deposited:||18 Oct 2011 08:42|
|Last Modified:||29 Oct 2015 00:10|
|References:|| J. D. Jackson, Classical Electrodynamcs, 3rd ed. (John Wiley & Sons, New York, 1998).  A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface,” Phys. Rev. A 39, 1809 (1989).  A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions,” Phys. Rev. A 39, 1828 (1989).  J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, “Helmholtz solitons at nonlinear interfaces,” Opt. Lett. 32, 1126 (2007).  J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, “Nonlinear interfaces: intrinsically nonparaxial regimes and effects,” J. Opt. A 11, 054015 (2009).  J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, “Dark solitons at nonlinear interfaces,” Opt. Lett. 35, 1347 (2010).  J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, “Black and gray Helmholtz Kerr soliton refraction,” Phys. Rev. A (accepted 2010).  Kh. I. Pushkarov, D. I. Pushkarov, and I. V. Tomov, “Self-action of light beams in nonlinear media: soliton solutions,” Opt. Quantum Electron. 11, 471 (1979).  J. M. Christian, G. S. McDonald, and P. Chamorro-Poada, “Bistable Helmholtz solitons in cubic-quintic materials,” Phys. Rev. A 76, 033833 (2007).  J. M. Christian, G. S. McDonald, and P. Chamorro-Posada, “Bistable dark solitons of a cubic-quintic Helmholtz equation,” Phys. Rev. A 81, 053831 (2010).|
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