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Helmholtz solitons in power-law optical materials (2007)
Journal Article
Christian, J., McDonald, G., Potton, R., & Chamorro-Posada, P. (2007). Helmholtz solitons in power-law optical materials. Physical Review A, 76(3), 033834. https://doi.org/10.1103/PhysRevA.76.033834

A nonlinear Helmholtz equation for optical materials with regimes of power-law type of nonlinearity is proposed. This model captures broad beam evolution at any angle with respect to the reference direction in a wide range of media, including some se... Read More about Helmholtz solitons in power-law optical materials.

Helmholtz solitons at nonlinear interfaces (2007)
Journal Article
McDonald, G., Chamorro-Posada, P., & Sanchez-Curto, J. (2007). Helmholtz solitons at nonlinear interfaces. Optics Letters, 32(9), 1126-1128. https://doi.org/10.1364/OL.32.001126

The evolution of Helmholtz solitons at the interface separating two Kerr-type media is described by means of a generalized nonlinear Helmholtz equation. The bright soliton solution for this equation and arbitrary media properties are presented. Numer... Read More about Helmholtz solitons at nonlinear interfaces.

Helmholtz bright and boundary solitons (2007)
Journal Article
Christian, J., McDonald, G., & Chamorro-Posada, P. (2007). Helmholtz bright and boundary solitons. Journal of Physics A: Mathematical and Theoretical, 40(7), 1545-1560. https://doi.org/10.1088/1751-8113/40/7/008

We report, for the first time, exact analytical boundary solitons of a generalized cubic-quintic Non-Linear Helmholtz (NLH) equation. These solutions have a linked-plateau topology that is distinct from conventional dark soliton solutions; their ampl... Read More about Helmholtz bright and boundary solitons.