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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.