254 citations · 3k across the 56 of their papers we have counts for
56 papers
Ray and caustic structure of Ince-Gauss beams
Rodrigo Gutiérrez-Cuevas, Mark R. Dennis, Miguel A. Alonso
The Ince-Gauss beams, separable in elliptic coordinates, are studied through a ray-optical approach. Their ray structure can be represented over a ray-Poincaré sphere by generalize…
On the Majorana representation of the optical Dirac equation
Mark R Dennis, Teuntje Tijssen, Michael Morgan
We consider the representations of the optical Dirac equation, especially ones where the Hamiltonian is purely real-valued. This is equivalent, for Maxwell's equations, to the Majo…
Optical excitations of Skyrmions, knotted solitons, and defects in atoms
C. D. Parmee, M. R. Dennis, J. Ruostekoski
Analogies between non-trivial topologies of matter and light have inspired numerous studies, including defect formation in structured light and topological photonic band-structures…
Knot probabilities in equilateral random polygons
A. Xiong, A. J. Taylor, M. R. Dennis +1
We consider the probability of knotting in equilateral random polygons in Euclidean 3-dimensional space, which model, for instance, random polymers. Results from an extensive Monte…
Particle-like topologies in light
Danica Sugic, Ramon Droop, Eileen Otte +5
Three-dimensional (3D) topological states resemble truly localised, particle-like objects in physical space. Among the richest such structures are 3D skyrmions and hopfions that re…
Exactly solvable model behind Bose-Hubbard dimers, Ince-Gauss beams, and aberrated optical cavities
R. Gutiérrez-Cuevas, D. H. J. O'Dell, M. R. Dennis +1
By studying the effects of quadratic anisotropy and quartic perturbations on the two-dimensional harmonic oscillator, one arrives at a simple model termed here the Ince oscillator,…