Ring-Shaped Solitons in a "Dartboard" Photonic Lattice (or my excursion into nonlinear optics)

Enam Hoq

Western New England College

In recent years, nonlinear optics has become the subject of intense study. This is driven both by potential applications in such areas as telecommunications and links with other fields such as Bose-Einstein condensates. Of particular interest are the study of optical solitons and their stability in various media. The talk begins an introduction to the basic concepts and a brief history of light and will end with a discussion of ring-shaped solitons in two-dimensional photorefractive media. In the case of a self focusing saturable nonlinearity, these solitons are found to be unstable while solitons of the same type may be stable if the saturable nonlinearity is self-defocusing.

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