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Helmholtz bright and black soliton splitting at nonlinear interfaces (2012)
Journal Article
Sanchez-Curto, J., Chamorro-Posada, P., & McDonald, G. (2012). Helmholtz bright and black soliton splitting at nonlinear interfaces. Physical Review A, 85, https://doi.org/10.1103/PhysRevA.85.013836

Soliton breakup occurring at the planar boundary separating two Kerr focusing and defocusing media is analyzed within the framework of the Helmholtz theory where the full angular content of the problem is preserved. We show that the number of soliton... Read More about Helmholtz bright and black soliton splitting at nonlinear interfaces.

Wave envelopes with second-order spatiotemporal dispersion : I. Bright Kerr solitons and cnoidal waves (2012)
Journal Article
I. Bright Kerr solitons and cnoidal waves. Physical Review A, 86(2), 023838. https://doi.org/10.1103/PhysRevA.86.023838

We propose a simple scalar model for describing pulse phenomena beyond the conventional slowly-varying envelope approximation. The generic governing equation has a cubic nonlinearity and we focus here mainly on contexts involving anomalous group-vel... Read More about Wave envelopes with second-order spatiotemporal dispersion : I. Bright Kerr solitons and cnoidal waves.

Spontaneous spatial fractal pattern formation in absorptive systems (2012)
Journal Article
Huang, J. G., Christian, J. M., & McDonald, G. S. (2012). Spontaneous spatial fractal pattern formation in absorptive systems. Journal of Nonlinear Optical Physics and Materials, 21(2), 1-9. https://doi.org/10.1142/S021886351250018X

We predict, for the first time to our knowledge, that purely-absorptive nonlinearity can support spontaneous spatial fractal pattern formation. A passive optical ring cavity with a thin slice of saturable absorber is analyzed. Linear stability analys... Read More about Spontaneous spatial fractal pattern formation in absorptive systems.

Spatiotemporal dispersion and wave envelopes with relativistic and pseudorelativistic characteristics (2012)
Journal Article
Christian, J., McDonald, G., Hodgkinson, T., & Chamorro-Posada, P. (2012). Spatiotemporal dispersion and wave envelopes with relativistic and pseudorelativistic characteristics. Physical Review Letters, 108(3), 034101-1. https://doi.org/10.1103/PhysRevLett.108.034101

A generic nonparaxial model for pulse envelopes is presented. Classic Schro¨dinger-type descriptions of
wave propagation have their origins in slowly-varying envelopes combined with a Galilean boost to the
local time frame. By abandoning these two... Read More about Spatiotemporal dispersion and wave envelopes with relativistic and pseudorelativistic characteristics.