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All Outputs (118)

Dissipative solitons of a spatiotemporal Ginzburg-Landau equation
Presentation / Conference
Cooper, A., Christian, J., Bresnahan, D., McDonald, G., & Chamorro-Posada, P. Dissipative solitons of a spatiotemporal Ginzburg-Landau equation. Presented at Quantum Electronics and Photonics Conference (Photon14/QEP-21), Imperial College London, UK

Diffraction of fractal light by simple apertures
Presentation / Conference
Mylova, M., Christian, J., & McDonald, G. Diffraction of fractal light by simple apertures. Presented at Quantum Electronics and Photonics Conference (Photon14/QEP-21), Imperial College London, UK

We propose and investigate, for the first time to our knowledge, an entirely new
regime in wave physics  the diffraction of fractal waves from simple apertures. A
selection of new analyses and physical predictions will be given for experimental
g... Read More about Diffraction of fractal light by simple apertures.

Spatiotemporal vector solitons in nonlinear optical systems with \chi(3) susceptibility
Presentation / Conference
Ashley, J., Christian, J., McDonald, G., & Chamorro-Posada, P. Spatiotemporal vector solitons in nonlinear optical systems with \chi(3) susceptibility. Presented at 5th European Optical Society Annual Meeting, Berlin, Germany

A new model is proposed for describing coupled optical waves propagating in a system with linear dispersion (both group-velocity and spatial contributions) \chi(3 nonlinear susceptibility. The modulational instability problem is solved in full, and... Read More about Spatiotemporal vector solitons in nonlinear optical systems with \chi(3) susceptibility.

Multi-turing instabilities in Fabry-Perot resonators and discrete microcavities
Presentation / Conference
Bostock, C., Christian, J., McDonald, G., Leite, A., & Huang, J. Multi-turing instabilities in Fabry-Perot resonators and discrete microcavities. Presented at 5th European Optical Society Annual Meeting, Berlin, Germany

We report on research concerning spontaneous spatial fractal pattern formation in
passive nonlinear optical cavities (both ring-resonator and Fabry-Pérot geometries).
A new model for light propagation inside discrete coupled cavities is proposed... Read More about Multi-turing instabilities in Fabry-Perot resonators and discrete microcavities.

Diffraction of fractal optical fields by simple apertures
Presentation / Conference
Christian, J., Mylova, M., & McDonald, G. Diffraction of fractal optical fields by simple apertures. Presented at 5th European Optical Society Annual Meeting, Berlin, Germany

We propose and investigate, for the first time to our knowledge, an entirely new
regime in wave physics  the diffraction of fractal waves from simple apertures. A
selection of new analyses and physical predictions will be given for experimental... Read More about Diffraction of fractal optical fields by simple apertures.

Unstable cavity lasers - from kaleidoscopes to snowflakes
Presentation / Conference
Christian, J., Begleris, I., McDonald, G., & Huang, J. Unstable cavity lasers - from kaleidoscopes to snowflakes. Presented at 5th European Optical Society Annual Meeting (EOSAM 2014), Berlin, Germany

The snowflake laser is proposed  a new class of unstable resonator whose
feedback mirror has the shape of the von Koch snowflake. Theoretical analysis is
undertaken with two-dimensional virtual source theory, and predictions of novel mode
patt... Read More about Unstable cavity lasers - from kaleidoscopes to snowflakes.

The spatiotemporal wave equation with a dual power-law nonlinearity
Presentation / Conference
Cowey, R., Christian, J., & McDonald, G. The spatiotemporal wave equation with a dual power-law nonlinearity. Poster presented at Salford Postgraduate Annual Research Conference (SPARC 2013), University of Salford

Solitons and soliton-like emergent phenomena appear ubiquitously throughout nonlinear science. These waves are truly fundamental entities, transcending the physical details of a system and resulting whenever linear dispersion (which tends to broaden... Read More about The spatiotemporal wave equation with a dual power-law nonlinearity.

Spatiotemporal dark and anti-dark solitons in cubic-quintic photonic systems
Presentation / Conference
Cowey, R., Christian, J., & McDonald, G. Spatiotemporal dark and anti-dark solitons in cubic-quintic photonic systems. Presented at Salford Postgraduate Annual Research Conference (SPARC 2013), University of Salford

In a recent publication, Christian et al. [Phys. Rev. Lett. vol. 108, art. no. 034101 (2012)] developed a novel mathematical formalism for describing pulses in generic wave-based systems. When applied to optical geometries, their proposed class of (... Read More about Spatiotemporal dark and anti-dark solitons in cubic-quintic photonic systems.

Helmholtz surface wave propagation along nonlinear interfaces
Presentation / Conference
McCoy, E., Christian, J., & McDonald, G. Helmholtz surface wave propagation along nonlinear interfaces. Poster presented at Salford Postgraduate Annual Research Conference (SPARC 2013), University of Salford

When two dissimilar nonlinear photonic materials are placed together, the boundary between them forms an optical interface. A light beam (typically from a laser source) may then travel along the boundary as a surface wave, remaining trapped within t... Read More about Helmholtz surface wave propagation along nonlinear interfaces.

Giant Goos-Hänchen shifts and soliton refraction in systems with χ(5) susceptibility
Presentation / Conference
McCoy, E., Christian, J., & McDonald, G. Giant Goos-Hänchen shifts and soliton refraction in systems with χ(5) susceptibility. Presented at Salford Postgraduate Annual Research Conference (SPARC 2013), University of Salford

A full understanding of how a spatial solitons (a unique type of nonlinear light beam) behave when the encounter the boundary between two dissimilar media is still some way off. On the one hand, light-interface interactions underpin essentially all... Read More about Giant Goos-Hänchen shifts and soliton refraction in systems with χ(5) susceptibility.

Vector spatial solitons beyond the slowly-varying envelope approximation
Presentation / Conference
Bostock, C., Christian, J., & McDonald, G. Vector spatial solitons beyond the slowly-varying envelope approximation. Poster presented at Salford Postgraduate Annual Research Conference (SPARC 2013), University of Salford

The simultaneous propagation of two spatially-overlapping and differently-coloured laser beams (e.g., at infra-red and green wavelengths) in photonic waveguides has attracted much attention since the early 1990s [Shalaby & Barthelemy, IEEE J. Quantum... Read More about Vector spatial solitons beyond the slowly-varying envelope approximation.

Spontaneous spatial fractal light patterns in simple nonlinear cavities
Presentation / Conference
Bostock, C., Christian, J., & McDonald, G. Spontaneous spatial fractal light patterns in simple nonlinear cavities. Presented at Salford Postgraduate Annual Research Conference (SPARC 2013), University of Salford

Nature furnishes us with a wide variety of patterns that, fundamentally, tend to fall into one of two categories: simple (characterized by a dominant scale-length or “size”) or fractal (containing comparable levels of detail spanning decimal orders o... Read More about Spontaneous spatial fractal light patterns in simple nonlinear cavities.

Arbitrary-angle interaction of spatial solitons with layered photonic structures
Presentation / Conference
layered photonic structures. Presented at Salford Postgraduate Annual Research Conference (SPARC 2012), University of Salford, Greater Manchester, UK

The behaviour of light at the interface between different adjoining materials underpins the entire field of Optics. In nonlinear photonics, a fundamental geometry comprises a spatial soliton incident on the planar boundary between two dissimilar Ker... Read More about Arbitrary-angle interaction of spatial solitons with layered photonic structures.

Stability of two-colour spatial solitons in Helmholtz vector beam models
Presentation / Conference
in Helmholtz vector beam models. Presented at Salford Postgraduate Annual Research Conference (SPARC 2012), University of Salford, Greater Manchester, UK

This presentation will cover a few very basic aspects of our latest research into how laser beams behave when they travel through some types of materials. In particular, we are interested in the properties of overlapping light beams with different c... Read More about Stability of two-colour spatial solitons in Helmholtz vector beam models.

Spontaneous spatial fractal patterns in simple linear and nonlinear optical cavities
Presentation / Conference
linear and nonlinear optical cavities. Presented at European Optical Society Annual Meeting (EOSAM 2012), Aberdeen, Scotland, UK

We present an overview of our research on the fractal-generating properties of two distinct optical cavities: fractal eigenmodes of linear systems with inherent magnification, and spontaneous spatial fractals in nonlinear systems. Our latest research... Read More about Spontaneous spatial fractal patterns in simple linear and nonlinear optical cavities.

Nonparaxial refraction laws in optics: from non-Kerr interfaces to waveguide arrays
Presentation / Conference
from non-Kerr interfaces to waveguide arrays. Presented at European Optical Society Annual Meeting (EOSAM 2012), Aberdeen, Scotland, UK

Angular effects play a central role in essentially all non-trivial optical configurations, and can be well-described within a Helmholtz-type nonparaxial framework. We report recent results modelling spatial solitons interacting with cubic-quintic mat... Read More about Nonparaxial refraction laws in optics: from non-Kerr interfaces to waveguide arrays.

Spatial dispersion and spatiotemporal solitons in cubic-quintic optical waveguides
Presentation / Conference
in cubic-quintic optical waveguides. Presented at European Optical Society Annual Meeting (EOSAM 2012), Aberdeen, Scotland, UK

We report on fresh developments in the field of spatiotemporal optical solitons. A host of new analytical and numerical predictions for light pulses in nonlinear waveguides will be detailed, which have a simple physical interpretation. Tantalizing c... Read More about Spatial dispersion and spatiotemporal solitons in cubic-quintic optical waveguides.