ORCID Profile
0000-0002-5596-3758
Current Organisation
University of Sydney
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Condensed Matter Physics | Optics And Opto-Electronic Physics | Optical Physics Not Elsewhere Classified | Condensed Matter Physics—Other
Publisher: Springer Science and Business Media LLC
Date: 02-2016
DOI: 10.1038/NN.4228
Publisher: IOP Publishing
Date: 23-08-2022
Abstract: Although most soliton research has traditionally considered dominant quadratic dispersion, the recent discovery of pure-quartic solitons has inspired analysis of soliton solutions with large higher orders of dispersion. Here we present analytic expressions for families of bright soliton solutions at arbitrary dispersion orders and practical methods to obtain the associated dispersion relations. These results provide a framework for considering higher order dispersion solitons and show the potential for further investigation of solitons in higher order dispersion systems.
Publisher: American Physical Society (APS)
Date: 29-10-2021
Publisher: Elsevier BV
Date: 07-2009
Publisher: Optica Publishing Group
Date: 17-06-2020
DOI: 10.1364/OL.393835
Abstract: We study the propagation of ultrashort pulses in optical fiber with gain and positive (or normal) quartic dispersion by self-similarity analysis of the modified nonlinear Schrödinger equation. We find an exact asymptotic solution, corresponding to a triangle-like T 4 / 3 intensity profile, with a T 1 / 3 chirp, which is confirmed by numerical simulations. This solution follows different litude and width scaling compared to the conventional case with quadratic dispersion. We also suggest, and numerically investigate, a fiber laser consisting of components with positive quartic dispersion that emits quartic self-similar pulses.
Publisher: American Physical Society (APS)
Date: 03-08-2004
Publisher: Optica Publishing Group
Date: 23-02-2022
DOI: 10.1364/OL.450835
Abstract: We show theoretically that stable dark solitons can exist in the presence of pure quartic dispersion, and also in the presence of both quadratic and quartic dispersive effects, displaying a much greater variety of possible solutions and dynamics than for pure quadratic dispersion. The interplay of the two dispersion orders may lead to oscillatory non-vanishing tails, which enables the possibility of bound, potentially stable, multi-soliton states. Dark soliton-like states that connect to low- litude oscillations are also shown to be possible. Dynamical evolution results corroborate the stability picture obtained, and possible avenues for dark soliton generation are explored.
Publisher: Elsevier BV
Date: 2016
Publisher: Elsevier BV
Date: 12-2000
Publisher: American Physical Society (APS)
Date: 06-10-2008
Publisher: American Physical Society (APS)
Date: 22-02-2021
Publisher: IOP Publishing
Date: 02-2002
Publisher: American Physical Society (APS)
Date: 21-02-2007
Publisher: Optica Publishing Group
Date: 06-1999
DOI: 10.1364/OL.24.000759
Abstract: We introduce a novel class of parametric optical solitons supported simultaneously by two second-order nonlinear cascading processes, second-harmonic generation and sum-frequency mixing. We obtain analytical and numerical solutions for three-wave spatial solitons and show that the presence of an additional cascading mechanism can change dramatically the properties and stability of two-wave quadratic solitary waves.
Publisher: Springer Science and Business Media LLC
Date: 23-12-2005
Publisher: American Physical Society (APS)
Date: 21-04-2009
Publisher: American Physical Society (APS)
Date: 08-03-0004
Publisher: American Physical Society (APS)
Date: 11-2006
Publisher: American Physical Society (APS)
Date: 07-02-2022
Publisher: Optica Publishing Group
Date: 05-1998
DOI: 10.1364/OL.23.000670
Abstract: We demonstrate that a weak defocusing Kerr effect in an optical medium with predominantly quadratic [or chi((2))] nonlinear response can eliminate the parametric modulational instability of plane waves, leading to the existence of stable two-wave dark and vortex spatial solitons.
Publisher: The Optical Society
Date: 25-06-2019
DOI: 10.1364/OL.44.003306
Publisher: American Physical Society (APS)
Date: 25-01-2002
Publisher: Elsevier BV
Date: 2001
Publisher: American Physical Society (APS)
Date: 05-08-2009
Publisher: American Physical Society (APS)
Date: 30-01-2006
Publisher: Elsevier BV
Date: 03-2022
Publisher: Elsevier BV
Date: 03-2016
Publisher: Optica Publishing Group
Date: 05-2000
DOI: 10.1364/OL.25.000660
Abstract: We study, numerically and analytically, linear and nonlinear waveguides induced by optical vortex solitons in a Kerr medium. Both fundamental and first-order guided modes are analyzed, as well as cases of effective defocusing and focusing nonlinearity.
Publisher: American Physical Society (APS)
Date: 18-07-2000
Publisher: American Physical Society (APS)
Date: 15-06-2020
Publisher: American Physical Society (APS)
Date: 27-08-2008
Publisher: American Physical Society (APS)
Date: 04-12-2013
Publisher: American Physical Society (APS)
Date: 14-12-2001
Publisher: OSA
Date: 2018
Publisher: The Royal Society
Date: 08-2015
Abstract: We investigate theoretically the quantum oscillator-like states recently observed experimentally in polariton condensates. We consider a complex Gross–Pitaevskii-type model that includes the effects of self-interactions, and creation and decay of exciton-polaritons. We develop a perturbation theory for approximate solutions to this non-equilibrium condensate model and compare the results with numerically calculated solutions for both repulsive and attractive polariton–polariton interactions. While the nonlinearity has a weak effect on the mode selection, the condensate density profiles are modified at moderate gain strengths. We find the nonlinearity becomes more dominant when a very large gain of polaritons leads to an extended cloud with high condensate densities. Finally, we identify the relation of the observed patterns to the input pump configuration, and suggest this may serve as a generalized NOR gate in the tradition of optical computing.
Publisher: IOP Publishing
Date: 09-12-2008
Publisher: American Physical Society (APS)
Date: 02-2000
Abstract: We analyze two-component spatial optical vortex solitons supported by parametric wave mixing processes in a nonlinear bulk medium. We study two distinct cases of such localized waves, namely, parametric vortex solitons due to phase-matched second-harmonic generation in an optical medium with competing quadratic and cubic nonlinear response, and vortex solitons in the presence of third-harmonic generation in a cubic medium. We find, analytically and numerically, the structure of two-component vortex solitons, and also investigate modulational instability of their plane-wave background. In particular, we predict and analyze in detail novel types of vortex solitons, a "halo-vortex," consisting of a two-component vortex core surrounded by a bright ring of its harmonic field, and a "ring-vortex" soliton which is a vortex in a harmonic field that guides a ring-like localized mode of the fundamental-frequency field.
Publisher: AIP Publishing
Date: 08-2010
DOI: 10.1063/1.3499231
Abstract: We discuss the structure of spin-1 Bose-Einstein condensates in the presence of a homogenous magnetic field. We demonstrate that phase separation can occur in the ground state of antiferromagnetic (polar) condensates, while the spin components of ferromagnetic condensates are always miscible, so that no phase separation occurs in them. Our analysis predicts that this phenomenon takes place when the energy of the lowest homogenous state is a concave function of the magnetization. We propose a method for creating spin domains by adiabatic switching-on of a magnetic field. We also discuss the phenomena of dynamical instability and spin domain formation.
Publisher: Springer Science and Business Media LLC
Date: 16-12-2021
Publisher: American Physical Society (APS)
Date: 28-04-2011
Publisher: American Physical Society (APS)
Date: 04-04-2008
Publisher: Elsevier BV
Date: 06-2016
Publisher: American Physical Society (APS)
Date: 02-02-2022
Publisher: American Physical Society (APS)
Date: 03-04-2009
Publisher: American Physical Society (APS)
Date: 28-02-2011
Publisher: American Physical Society (APS)
Date: 10-10-2005
Publisher: Australian Mathematical Publishing Association, Inc.
Date: 09-07-2012
Publisher: Elsevier BV
Date: 03-2001
Publisher: American Physical Society (APS)
Date: 22-10-2014
Publisher: American Physical Society (APS)
Date: 03-02-2009
Publisher: Springer Science and Business Media LLC
Date: 15-05-2017
DOI: 10.1038/S41598-017-01113-8
Abstract: In the study of non-equilibrium polariton condensates it is usually assumed that the dispersion relation of polaritons is parabolic in nature. We show that considering the true non-parabolic kinetic energy of polaritons leads to significant changes in the behaviour of the condensate due to the curvature of the dispersion relation and the possibility of transfer of energy to high wavenumber components in the condensate spatial profile. We present explicit solutions for plane waves and linear excitations, and identify the differences in the theoretical predictions between the parabolic and non-parabolic mean-field models, showing the possibility of symmetry breaking in the latter. We then consider the evolution of wavepackets and show that self-localisation effects may be observed due to the curvature of the dispersion relation. Finally, we revisit the dynamics of dark soliton trains and show that additional localized density excitations may emerge in the dynamics due to the excitation of high frequency components, mimicking the appearance of near-bright solitary waves over short timescales.
Publisher: AIP Publishing
Date: 06-2020
DOI: 10.1063/5.0004983
Abstract: In this paper, we quantify the statistical properties and dynamics of the frequency of hashtag use on Twitter. Hashtags are special words used in social media to attract attention and to organize content. Looking at the collection of all hashtags used in a period of time, we identify the scaling laws underpinning the hashtag frequency distribution (Zipf’s law), the number of unique hashtags as a function of s le size (Heaps’ law), and the fluctuations around expected values (Taylor’s law). While these scaling laws appear to be universal, in the sense that similar exponents are observed irrespective of when the s le is gathered, the volume and the nature of the hashtags depend strongly on time, with the appearance of bursts at the minute scale, fat-tailed noise, and long-range correlations. We quantify this dynamics by computing the Jensen–Shannon ergence between hashtag distributions obtained τ times apart and we find that the speed of change decays roughly as 1/τ. Our findings are based on the analysis of 3.5×109 hashtags used between 2015 and 2016.
Publisher: American Physical Society (APS)
Date: 15-08-2006
Publisher: Optica Publishing Group
Date: 17-04-2007
DOI: 10.1364/OL.32.001293
Abstract: We introduce a novel class of stable lattice solitons with a complex phase structure composed of many single-charge discrete vortices in a triangular photonic lattice. We demonstrate that such nonlinear self-trapped states are linked to the resonant Bloch modes, which bear a honeycomb pattern of phase dislocations.
Publisher: American Physical Society (APS)
Date: 17-04-2020
Publisher: Springer Science and Business Media LLC
Date: 11-02-2015
DOI: 10.1038/NATURE14132
Publisher: American Physical Society (APS)
Date: 13-04-2009
Start Date: 2006
End Date: 12-2008
Amount: $223,020.00
Funder: Australian Research Council
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