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Relativistic & pseudo-relativistic connections in optical pulse propagation (2011)
Presentation / Conference
Christian, J., McDonald, G., Lundie, M., & Lancaster, G. (2011, June). Relativistic & pseudo-relativistic connections in optical pulse propagation. Poster presented at College Research Showcase Day, University of Salford, Greater Manchester, UK

We explore a more complete model for describing the evolution of scalar optical pulses in generic nonlinear waveguides. The electromagnetic wave envelope satisfies a dimensionless equation that is of the Helmholtz type. Our approach is to retain the... Read More about Relativistic & pseudo-relativistic connections in optical pulse propagation.

Cavity-enhanced broadband light generation (2011)
Presentation / Conference
Rose, C., McDonald, G., & Christian, J. (2011, June). Cavity-enhanced broadband light generation. Poster presented at College Research Showcase Day, University of Salford, Greater Manchester, UK

Broadband (multiline frequency) light combs present a wealth of applications, ranging from meteorology, sensing and measurements to those potentially in the domain of attosecond science. We report here on detailed investigations of, what we believe... Read More about Cavity-enhanced broadband light generation.

The role of boundary conditions in kaleidoscope laser modes (2011)
Presentation / Conference
McDonald, G., Christian, J., & Huang, J. (2011, June). The role of boundary conditions in kaleidoscope laser modes. Poster presented at College Research Showcase Day, University of Salford, Greater Manchester, UK

The complex character of transverse eigenmodes in one-dimensional (1D) unstable cavity lasers has been known for many years [1]. Early collaborations showed that the origin of such fractal (i.e., multiple spatial scale) structure lies in a subtle int... Read More about The role of boundary conditions in kaleidoscope laser modes.

Arbitrary-angle scattering of spatial solitons from dielectric optical interfaces (2011)
Presentation / Conference
McCoy, E., Christian, J., & McDonald, G. (2011, June). Arbitrary-angle scattering of spatial solitons from dielectric optical interfaces. Poster presented at College Research Showcase Day, University of Salford, Greater Manchester, UK

Wave–interface phenomena appear throughout Nature and are intrinsically angular in character. For instance, the behaviour of light waves at material boundaries underpins the entire field of optics. The seminal works on nonlinear beam refraction [1]... Read More about Arbitrary-angle scattering of spatial solitons from dielectric optical interfaces.

Propagation and stability of two-colour spatial optical solitons (2011)
Presentation / Conference
Bostock, C., Christian, J., & McDonald, G. (2011, June). Propagation and stability of two-colour spatial optical solitons. Presented at College Research Showcase Day, University of Salford, Greater Manchester, UK

Two-colour spatial solitons comprise coupled nonlinear optical beams at two distinct temporal frequencies [1]. The components (which may be bright-like and/or dark-like) are localized in space and tend to overlap, thereby allowing the interplay betw... Read More about Propagation and stability of two-colour spatial optical solitons.

Research on nonlinear and quantum optics at the photonics and quantum information group of the University of Valladolid (2011)
Journal Article
quantum information group of the University of Valladolid. Optica Pura y Aplicada, 44(2), 211-217

We outline the main research lines in Nonlinear and Quantum Optics of the Group of Photonics and Quantum Information at the University of Valladolid. These works focus on Optical Solitons, Quantum Information using Photonic Technologies and the devel... Read More about Research on nonlinear and quantum optics at the photonics and quantum information group of the University of Valladolid.

Refraction law for self-collimated light beams at material interfaces (2010)
Presentation / Conference
McCoy, E., Christian, J., McDonald, G., Sanchez-Curto, J., & Chamorro-Posada, P. (2010, November). Refraction law for self-collimated light beams at material interfaces. Presented at 1st CSE Doctoral School Postgraduate Research Conference, University of Salford, Greater Manchester, UK

Perhaps the most fundamental electromagnetic phenomenon is the behaviour of light at the interface between dissimilar materials. In fact, the entire field of Optics follows from this single key concept. The reflection and refraction properties of a p... Read More about Refraction law for self-collimated light beams at material interfaces.

Refraction of power-law spatial solitons – the Helmholtz-Snell law (2010)
Presentation / Conference
Christian, J., Sánchez-Curto, J., Chamorro-Posada, P., McDonald, G., & McCoy, E. (2010, September). Refraction of power-law spatial solitons – the Helmholtz-Snell law. Presented at 10th International Conference on Laser and Fiber-Optical Networks Modeling (LFNM), 2010, Sevastopol, Crimea, Ukraine

The behaviour of a scalar optical beam at the boundary between two dissimilar nonlinear media is of fundamental interest in nonlinear photonics. Here, we report the first systematic generalization of our Kerr analyses to a wider class of power-law ma... Read More about Refraction of power-law spatial solitons – the Helmholtz-Snell law.

Kaleidoscope laser properties and new optical fractal contexts (2010)
Presentation / Conference
Christian, J., McDonald, G., Heyes, A., & Huang, J. (2010, September). Kaleidoscope laser properties and new optical fractal contexts. Presented at 5th International Conference on Advanced Optoelectronics & Lasers, CAOL 2010, Sevastopol, Crimea, Ukraine

We present the first detailed account of kaleidoscope laser modes where the equivalent Fresnel number Neq and magnification M may assume arbitrary values. Properties of these linear fractal eigenmodes are explored through extensive numerical computat... Read More about Kaleidoscope laser properties and new optical fractal contexts.

Helmholtz solitons in optical materials with a dual power-law refractive index (2010)
Journal Article
Christian, J., McDonald, G., & Chamorro-Posada, P. (2010). Helmholtz solitons in optical materials with a dual power-law refractive index. Journal of Nonlinear Optical Physics and Materials, 19(3), 389-405. https://doi.org/10.1142/S0218863510005340

A nonlinear Helmholtz equation is proposed for modelling scalar optical beams in uniform planar waveguides whose refractive index exhibits a purely-focusing dual powerlaw dependence on the electric field amplitude. Two families of exact analytical s... Read More about Helmholtz solitons in optical materials with a dual power-law refractive index.