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4 June 2010 Akhmediev Breather dynamics and the nonlinear modulation instability spectrum
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Abstract
We consider various aspects of supercontinuum generation in the quasi-CW regime through analysis, numerical simulations and experiments. A new interpretation of certain features of the developing spectrum in terms of localized periodic structures known as "Akhmediev Breathers" is proposed. We also briefly consider the role of breather collisions and turbulence in the presence of higher order dispersion and show that they lead to the formation of very large amplitude localized structures that may be analogous to the infamous oceanic rogue waves.
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Goëry Genty, Frederic Dias, Bertrand Kibler, Nail Akhmediev, and John M. Dudley "Akhmediev Breather dynamics and the nonlinear modulation instability spectrum", Proc. SPIE 7728, Nonlinear Optics and Applications IV, 772812 (4 June 2010); https://doi.org/10.1117/12.854045
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