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Propagation properties of nonparaxial spatial solitons (2000)
Journal Article
Chamorro-Posada, P., Mcdonald, G., & New, G. (2000). Propagation properties of nonparaxial spatial solitons. Journal of Modern Optics, 47(11), 1877-1886. https://doi.org/10.1080/09500340008232440

We present an analysis and simulation of the non-paraxial nonlinear Schroedinger equation. Exact general relations describing energy flow conservation and transformation invariance are reported, and then explained on physical grounds. New instabiliti... Read More about Propagation properties of nonparaxial spatial solitons.

Fractal modes in unstable resonators (1999)
Journal Article
Karman, G., Mcdonald, G., New, G., & Woerdman, J. (1999). Fractal modes in unstable resonators. Nature, 402, 138. https://doi.org/10.1038/45960

One of the simplest optical systems, consisting of two mirrors facing each other to form a resonator, turns out to have a surprising property. Here we show that the peculiar eigenmodes of unstable resonators are fractals, a finding that may lead to... Read More about Fractal modes in unstable resonators.

Excess noise in low Fresnel number unstable resonators (1999)
Journal Article
Mcdonald, G., New, G., & Woerdman, J. (1999). Excess noise in low Fresnel number unstable resonators. Optics Communications, 164(4-6), 285-295. https://doi.org/10.1016/S0030-4018%2899%2900194-7

Numerical calculations of excess noise factors in low Fresnel number unstable resonators are described in detail. Computed mode profiles in one transverse dimension together with associated Petermann K-factors are presented; dynamical considerations... Read More about Excess noise in low Fresnel number unstable resonators.

Fast algorithm for studying the evolution of optical solitons under perturbations (1999)
Journal Article
Chamorro-Posada, P., Mcdonald, G., New, G., & Fraile-Pelaez, F. (1999). Fast algorithm for studying the evolution of optical solitons under perturbations. IEEE Transactions on Magnetics, 35(3), 1558-1561. https://doi.org/10.1109/20.767268

A numerical algorithm is proposed for computing the eigenvalues of the linear scattering problem associated with the nonlinear Schrodinger equation. The numerical method allows a fast calculation of the dynamical evolution of the properties of optica... Read More about Fast algorithm for studying the evolution of optical solitons under perturbations.

Excess-noise dependence on intracavity aperture shape (1999)
Journal Article
Karman, G., Mcdonald, G., Woerdman, J., & New, G. (1999). Excess-noise dependence on intracavity aperture shape. Applied Optics, 38(33), 6874-6878. https://doi.org/10.1364/AO.38.006874

In lasers with nonorthogonal eigenmodes the excess-noise factor K can be large, especially in unstable-cavity lasers with hard-edged intracavity apertures. To the best of our knowledge, we report the first detailed study of the dependence of K on ape... Read More about Excess-noise dependence on intracavity aperture shape.

Nonlinear competing processes in multifrequency Raman generation (1998)
Journal Article
Mcdonald, G., Chan, Y., New, G., Losev, L., & Lutsenko, A. (1998). Nonlinear competing processes in multifrequency Raman generation. Journal of Modern Optics, 45(6), 1099-1110. https://doi.org/10.1080/09500349808230901

We investigate the extent to which the Raman generation of ultrabroad-band light will be affected by nonlinear competing processes. The model equations are generalized to incorporate an off-axis competing signal and a quantitative study is undertaken... Read More about Nonlinear competing processes in multifrequency Raman generation.

Non-paraxial solitons (1998)
Journal Article
Chamorro-Posada, P., Mcdonald, G., & New, G. (1998). Non-paraxial solitons. Journal of Modern Optics, 45(6), 1111-1121. https://doi.org/10.1080/09500349808230902

In this paper, we propose the use of ultranarrow soliton beams in miniaturized nonlinear optical devices. We derive a nonparaxial nonlinear Schrödinger equation and show that it has an exact non-paraxial soliton solution from which the paraxial solit... Read More about Non-paraxial solitons.

On the generation of ultra-broad bandwidth light in air at atmospheric pressure (1997)
Journal Article
atmospheric pressure. Journal of Physics B: Atomic, Molecular and Optical Physics, 30(21), L719-L725. https://doi.org/10.1088/0953-4075/30/21/002

We predict that ultra-broadband light consisting of over 150 distinct frequencies of comparable energy can be generated in air at atmospheric pressure by stimulated Raman scattering using resonant symmetric pumping. Nanosecond input pulses and the hi... Read More about On the generation of ultra-broad bandwidth light in air at atmospheric pressure.

Nondiffracting beams: travelling, standing, rotating and spiral waves (1996)
Journal Article
Chávez-Cerda, S., Mcdonald, G., & New, G. (1996). Nondiffracting beams: travelling, standing, rotating and spiral waves. Optics Communications, 123(1-3), 225-233. https://doi.org/10.1016/0030-4018%2895%2900538-2

A reformulation of nondiffracting beams, based on more general (travelling wave) solutions of the nonparaxial wave equation, is presented. Zero order nondiffracting beams are found to be radial standing waves arising from counterpropagating zero orde... Read More about Nondiffracting beams: travelling, standing, rotating and spiral waves.

Ultrabroad-bandwidth multifrequency Raman soliton pulse trains (1995)
Journal Article
McDonald, G. (1995). Ultrabroad-bandwidth multifrequency Raman soliton pulse trains. Optics Letters, 20(8), 822-824. https://doi.org/10.1364/OL.20.000822

I have discovered that in the coherent regime of ultrabroad-bandwidth Raman generation, a large number of long-lived soliton pulse trains are spontaneously generated. This novel solution of the dispersionless and highly transient regime, involving mo... Read More about Ultrabroad-bandwidth multifrequency Raman soliton pulse trains.