Outputs (70)

Spontaneous optical fractal pattern formation (2005)
Journal Article
Huang, J., & McDonald, G. (2005). Spontaneous optical fractal pattern formation. Physical review letters, 94(17), 174101. https://doi.org/10.1103/PhysRevLett.94.174101

We report, for the first time, spontaneous nonlinear optical spatial fractals. The proposed generic mechanism employs intrinsic nonlinear dynamics both to generate an initial pattern seed and to fill out structure across decades of spatial scale. W... Read More about Spontaneous optical fractal pattern formation.

Spontaneous optical fractal pattern formation (2005)
Journal Article
Huang, J., & McDonald, G. (2005). Spontaneous optical fractal pattern formation. Physical review letters, 94(17), 174101. https://doi.org/10.1103/PhysRevLett.94.174101

We report, for the first time, spontaneous nonlinear optical spatial fractals. The proposed generic mechanism employs intrinsic nonlinear dynamics both to generate an initial pattern seed and to fill out structure across decades of spatial scale. W... Read More about Spontaneous optical fractal pattern formation.

Exact analytical helmholtz bright and dark solitons (2004)
Journal Article
Chamorro-Posada, P., & McDonald, G. (2004). Exact analytical helmholtz bright and dark solitons. Proceedings of SPIE, 5582, 154. https://doi.org/10.1117/12.583404

In this paper, exact analytical Helmholtz bright and dark soliton solutions for a Kerr nonlinearity are presented. Numerical simulations verify that these solutions are both robust and act as attractors in nonlinear beam dynamics. Results dealing wit... Read More about Exact analytical helmholtz bright and dark solitons.

Helmholtz dark solitons (2003)
Journal Article
Chamorro-Posada, P., & McDonald, G. (2003). Helmholtz dark solitons. Optics Letters, 28(10), 825-827. https://doi.org/10.1364/OL.28.000825

A general dark-soliton solution of the Helmholtz equation (with defocusing Kerr nonlinearity) that has on- and off-axis, gray and black, paraxial and Helmholtz solitons as particular solutions, is reported. Modifications to soliton transverse velocit... Read More about Helmholtz dark solitons.

Helmholtz dark solitons (2003)
Journal Article
Chamorro-Posada, P., & McDonald, G. (2003). Helmholtz dark solitons. Optics Letters, 28(10), 825-827. https://doi.org/10.1364/OL.28.000825

A general dark-soliton solution of the Helmholtz equation (with defocusing Kerr nonlinearity) that has on- and off-axis, gray and black, paraxial and Helmholtz solitons as particular solutions, is reported. Modifications to soliton transverse velocit... Read More about Helmholtz dark solitons.

Exact soliton solutions of the nonlinear Helmholtz equation: communication (2002)
Journal Article
Chamorro-Posada, P., McDonald, G., & New, G. (2002). Exact soliton solutions of the nonlinear Helmholtz equation: communication. Journal of the Optical Society of America B, 19(5), 1216-1217. https://doi.org/10.1364/JOSAB.19.001216

Exact analytical soliton solutions of the nonlinear Helmholtz equation are reported. A lucid generalization of paraxial soliton theory that incorporates nonparaxial effects is found.

Diffractive origin of fractal resonator modes (2001)
Journal Article
New, G., Yates, M., Woerdman, J., & Mcdonald, G. (2001). Diffractive origin of fractal resonator modes. Optics Communications, 193(1-6), 261-266. https://doi.org/10.1016/S0030-4018%2801%2901237-8

The modes of unstable optical resonators possess fractal character. In this paper, the fundamental question of how and why fractals originate in one of the simplest linear optical systems is addressed. The answer is related to the fact that unstabl... Read More about Diffractive origin of fractal resonator modes.

Non-paraxial beam propagation methods (2001)
Journal Article
Chamorro-Posada, P., Mcdonald, G., & New, G. (2001). Non-paraxial beam propagation methods. Optics Communications, 192(1-2), 1-12. https://doi.org/10.1016/S0030-4018%2801%2901171-3

Exact analytical results are employed in the testing of split-step and finite difference approaches to the numerical solution of the non-paraxial non-linear Schrodinger equation. It is shown that conventional split-step schemes can lead to spurious o... Read More about Non-paraxial beam propagation methods.

Transverse effects in multifrequency Raman generation (2000)
Journal Article
Syed, K., Mcdonald, G., & New, G. (2000). Transverse effects in multifrequency Raman generation. Journal of the Optical Society of America B, 17(8), 1366-1375. https://doi.org/10.1364/JOSAB.17.001366

The theory of ultrabroadband multifrequency Raman generation is extended, for the first time, to allow for beam-propagation effects in one and two transverse dimensions. We show that a complex transverse structure develops even when diffraction is ne... Read More about Transverse effects in multifrequency Raman generation.

Kaleidoscope laser (2000)
Journal Article
Mcdonald, G., Karman, G., New, G., & Woerdman, J. (2000). Kaleidoscope laser. Journal of the Optical Society of America B, 17(4), 524-529. https://doi.org/10.1364/JOSAB.17.000524

We report the first calculations of mode patterns of unstable-cavity lasers with truly two-dimensional transverse geometries. A detailed account of numerical techniques, incorporating a nonorthogonal beam-propagation method, and results for cavities... Read More about Kaleidoscope laser.