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Ultrabroad-bandwidth multifrequency Raman generation (1994)
Journal Article
Mcdonald, G., New, G., Losev, L., Lutsenko, A., & Shaw, M. (1994). Ultrabroad-bandwidth multifrequency Raman generation. Optics Letters, 19(18), 1400-1402. https://doi.org/10.1364/OL.19.001400

We report on the modeling of transient stimulated rotational Raman scattering in H2 gas. We predict a multifrequency output, spanning a bandwidth greater than the pump frequency, that may be generated without any significant delay with respect to the... Read More about Ultrabroad-bandwidth multifrequency Raman generation.

Pattern formation in a passive Kerr cavity (1994)
Journal Article
Scroggie, A., Firth, W., Mcdonald, G., Tlidi, M., Lefever, R., & Lugiato, L. (1994). Pattern formation in a passive Kerr cavity. Chaos, Solitons and Fractals, 4(8-9), 1323-1354. https://doi.org/10.1016/0960-0779%2894%2990084-1

Analytical and numerical investigations of a cavity containing a Kerr medium are reported. The mean field equation with plane-wave excitation and diffraction is assumed. Stable hexagons are dominant close to threshold for a self-focusing medium. B... Read More about Pattern formation in a passive Kerr cavity.

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.

Optical vortices in beam propagation through a self-defocussing medium (1992)
Journal Article
Mcdonald, G., Syed, K., & Firth, W. (1992). Optical vortices in beam propagation through a self-defocussing medium. Optics Communications, 94(5), 469-476. https://doi.org/10.1016/0030-4018%2892%2990589-J

We present numerical simulations and analysis of optical vortex propagation in a 3D self-defocussing medium. On plane wave background initial conditions composed of points and lines of phase discontinuity are shown, in some cases, to evolve towards a... Read More about Optical vortices in beam propagation through a self-defocussing medium.

Hexagon patterns in optical bistability (1992)
Journal Article
Firth, W., Scroggie, A., McDonald, G., & Lugiato, L. (1992). Hexagon patterns in optical bistability. Physical Review A, 46(7), R3609-R3612. https://doi.org/10.1103/PhysRevA.46.R3609

The mean-field model of optical bistability in a ring cavity is extended to include diffraction in two transverse dimensions. Nonlinear analysis in the neighborhood of the instability of the homogeneous solution indicates the formation of stable hexa... Read More about Hexagon patterns in optical bistability.

Spatial solitary-wave optical memory (1990)
Journal Article
Mcdonald, G., & Firth, W. (1990). Spatial solitary-wave optical memory. Journal of the Optical Society of America B, 7(7), 1328-1335. https://doi.org/10.1364/JOSAB.7.001328

We consider some features of spatial solitary-wave switching in a unidirectional ring cavity that is partially filled with a fast and saturably self-focusing nonlinear medium. Large (part-beam switched) solitary arrays are considered. It is found tha... Read More about Spatial solitary-wave optical memory.

All-optical switching in a nonlinear resonator (1990)
Journal Article
Mcdonald, G., & Firth, W. (1990). All-optical switching in a nonlinear resonator. Journal of Modern Optics, 37(4), 613-626. https://doi.org/10.1080/09500349014550701

In this paper we consider some features of all-optical switching in a unidirectional ring cavity which is partially filled with a fast and saturably nonlinear medium. A comparative study of cross-talk for both signs of nonlinearity, in a two pixel (w... Read More about All-optical switching in a nonlinear resonator.