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Switching dynamics of spatial solitary wave pixels (1993)
Journal Article
Mcdonald, G., & Firth, W. (1993). Switching dynamics of spatial solitary wave pixels. Journal of the Optical Society of America B, 10(6), 1081-1089. https://doi.org/10.1364/JOSAB.10.001081

Separatrices and scaling laws in the switching dynamics of spatial solitary wave pixels are investigated. We show that the dynamics in the full model are similar to those in the plane-wave limit. Switching features may be indicated and explained by t... Read More about Switching dynamics of spatial solitary wave pixels.

Self-sustained modelocking using induced nonlinear birefringence in optical fibres (1993)
Journal Article
Langridge, P., Mcdonald, G., Firth, W., & Wabnitz, S. (1993). Self-sustained modelocking using induced nonlinear birefringence in optical fibres. Optics Communications, 97(3-4), 178-182. https://doi.org/10.1016/0030-4018%2893%2990136-S

A numerical study of self-sustained mode locking due to optically induced nonlinear birefringence is presented. The model incorporates a polarizer, a gain medium, a half-wave plate and a single-mode passive fibre in a ring cavity configuration. The... Read More about Self-sustained modelocking using induced nonlinear birefringence in optical fibres.

Dark spatial soliton break-up in the transverse plane (1993)
Journal Article
Mcdonald, G., Syed, K., & Firth, W. (1993). Dark spatial soliton break-up in the transverse plane. Optics Communications, 95(4-6), 281-288. https://doi.org/10.1016/0030-4018%2893%2990679-Y

We report on numerical simulations investigating the instabilities which arise when dark soliton solutions of the two-dimensional (2D) nonlinear Schrödinger equation are allowed to propagate in a 3D self-defocussing medium. Firstly, propagation of fu... Read More about Dark spatial soliton break-up in the transverse plane.

Spatial grid symmetries and reduced models in the simulation of beam counterpropagation in a nonlinear medium (1993)
Journal Article
Mcdonald, G., & Firth, W. (1993). Spatial grid symmetries and reduced models in the simulation of beam counterpropagation in a nonlinear medium. Journal of Modern Optics, 40(1), 23-32. https://doi.org/10.1080/09500349314550041

In the context of the nonlinear interaction of counterpropagating light beams, we demonstrate the unrealistic symmetries that arise in the simulation of spontaneous pattern formation when using square computational grids. We have formulated a general... Read More about Spatial grid symmetries and reduced models in the simulation of beam counterpropagation in a nonlinear medium.