Outputs (70)

Relativistic and pseudorelativistic formulation of nonlinear envelope equations with spatiotemporal dispersion. I. Cubic-quintic systems (2018)
Journal Article
Christian, J., McDonald, G., & Kotsampaseris, A. (2018). Relativistic and pseudorelativistic formulation of nonlinear envelope equations with spatiotemporal dispersion. I. Cubic-quintic systems. Physical Review A, 98(5), 053823. https://doi.org/10.1103/PhysRevA.98.053842

A generic envelope equation is proposed for describing the evolution of scalar pulses in systems with spatiotemporal dispersion and cubic-quintic nonlinearity. Our analysis has application, for instance, in waveguide optics where the physical origin... Read More about Relativistic and pseudorelativistic formulation of nonlinear envelope equations with spatiotemporal dispersion. I. Cubic-quintic systems.

Relativistic and pseudorelativistic formulation of nonlinear envelope equations with spatiotemporal dispersion. II. Saturable systems (2018)
Journal Article
Christian, J., McDonald, G., Lundie, M., & Kotsampaseris, A. (2018). Relativistic and pseudorelativistic formulation of nonlinear envelope equations with spatiotemporal dispersion. II. Saturable systems. Physical Review A, 98(5), 053843. https://doi.org/10.1103/PhysRevA.98.053843

We consider an envelope equation with space-time symmetry for describing scalar waves in systems with spatiotemporal dispersion and a generic saturable nonlinearity. Exact bright and gray solitons are derived by direct integration methods and coordin... Read More about Relativistic and pseudorelativistic formulation of nonlinear envelope equations with spatiotemporal dispersion. II. Saturable systems.

Spontaneous spatial fractal pattern formation in dispersive systems (2017)
Journal Article
Huang, J., Christian, J., & McDonald, G. (2017). Spontaneous spatial fractal pattern formation in dispersive systems. Journal of Nonlinear Optical Physics and Materials, 26(01), https://doi.org/10.1142/S0218863517500096

We report spontaneous spatial optical fractal patterns in a ring cavity containing a thin slice of diffusive Kerr-type material. The Turing threshold instability condition is derived through linear analysis, and static patterns are found to be descri... Read More about Spontaneous spatial fractal pattern formation in dispersive systems.

On the asymptotic evolution of finite energy Airy wavefunctions (2015)
Journal Article
Chamorro-Posada, P., Sanchez-Curto, J., Aceves, A., & McDonald, G. (2015). On the asymptotic evolution of finite energy Airy wavefunctions. Optics Letters, 40(12), 2850-2853. https://doi.org/10.1364/OL.40.002850

In general, there is an inverse relation between the degree of localization of a wavefunction of a certain class and its transform representation dictated by the scaling property of the Fourier transform. We report that in the case of finite energy A... Read More about On the asymptotic evolution of finite energy Airy wavefunctions.

Helmholtz non-paraxial beam propagation method: An assessment (2014)
Journal Article
Chamorro-Posada, P., & McDonald, G. (2014). Helmholtz non-paraxial beam propagation method: An assessment. Journal of Nonlinear Optical Physics and Materials, 23(4), https://doi.org/10.1142/S0218863514500404

We present a performance evaluation of a non-paraxial beam propagation method suitable for the study of Helmholtz solitons. The analysis aims to determine the accuracy limits of the numerical scheme in terms of the maximum propagation angle addressab... Read More about Helmholtz non-paraxial beam propagation method: An assessment.

Efficient parallel implementation of the nonparaxial beam propagation method (2014)
Journal Article
Sanchez-Curto, J., Chamorro-Posada, P., & McDonald, G. (2014). Efficient parallel implementation of the nonparaxial beam propagation method. Parallel Computing, 40(8), 394-407. https://doi.org/10.1016/j.parco.2014.06.003

An efficient parallel implementation of a nonparaxial beam propagation method for the numerical study of the nonlinear Helmholtz equation is presented. Our solution focuses on minimizing communication and computational demands of the method which are... Read More about Efficient parallel implementation of the nonparaxial beam propagation method.

Widely varying giant Goos–Hänchen shifts from airy beams at nonlinear interfaces (2014)
Journal Article
Chamorro-Posada, P., Sánchez-Curto, J., Aceves, A., & McDonald, G. (2014). Widely varying giant Goos–Hänchen shifts from airy beams at nonlinear interfaces. Optics Letters, 39(6), 1378-1381. https://doi.org/10.1364/OL.39.001378

We present a numerical study of the giant Goos–Hänchen shifts (GHSs) obtained from an Airy beam impinging on a nonlinear interface. To avoid any angular restriction associated with the paraxial approximation, the analysis is based on the nonlinear He... Read More about Widely varying giant Goos–Hänchen shifts from airy beams at nonlinear interfaces.

Gravitational theoretical development supporting MOND (2013)
Journal Article
Chadwick, E., Hodgkinson, T., & McDonald, G. (2013). Gravitational theoretical development supporting MOND. Physical Review D - Particles, Fields, Gravitation and Cosmology, 88(024036), https://doi.org/10.1103/PhysRevD.88.024036

Conformal geometry is considered within a general relativistic framework. An invariant distant for proper time is defined and a parallel displacement is applied in the distorted space-time, modifying Einstein’s equation appropriately. A particular so... Read More about Gravitational theoretical development supporting MOND.

Helmholtz bright spatial solitons and surface waves at power-law optical interfaces (2012)
Journal Article
Christian, J., McCoy, E., McDonald, G., Sanchez-Curto, J., & Chamorro-Posada, P. (2012). Helmholtz bright spatial solitons and surface waves at power-law optical interfaces. Journal of Atomic, Molecular, and Optical Physics, 2012, 137967. https://doi.org/10.1155/2012/137967

We consider arbitrary-angle interactions between spatial solitons and the planar boundary between two optical materials with a single power-law nonlinear refractive index. Extensive analysis has uncovered a wide range of new qualitative phenomena in... Read More about Helmholtz bright spatial solitons and surface waves at power-law optical interfaces.

Time domain analysis of Helmholtz soliton propagation using the TLM method (2012)
Journal Article
Chamorro-Posada, P., & McDonald, G. (2012). Time domain analysis of Helmholtz soliton propagation using the TLM method. Journal of Nonlinear Optical Physics and Materials, 21(03), https://doi.org/10.1142/S0218863512500312

The transmission line matrix method is used to study Helmholtz solitons as solutions of the two-dimensional time-domain Maxwell equations in nonlinear media. This approach permits to address, in particular, the propagation and intrinsic stability pr... Read More about Time domain analysis of Helmholtz soliton propagation using the TLM method.