Nonlinear optical waves with the second Painleve transcendent shape of envelope in Kerr media

Alexandre S. Shcherbakov; Eduardo Tepichin Rodriguez; Mauro Sanchez Sanchez

doi:10.1117/12.558739

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3 May 2004 Nonlinear optical waves with the second Painleve transcendent shape of envelope in Kerr media

Alexandre S. Shcherbakov, Eduardo Tepichin Rodriguez, Mauro Sanchez Sanchez

Proceedings Volume 5480, Laser Optics 2003: Diode Lasers and Telecommunication Systems; (2004) https://doi.org/10.1117/12.558739
Event: Laser Optics 2003, 2003, St. Petersburg, Russian Federation

Abstract

Nonlinear optical wave packets with the second Painleve transcendent shape of envelope are revealed in Kerr media, manifesting weakly focusing cubic nonlinearity, square-law dispersion, and linear losses. When the state of nonlinear optical transmission is realized, two possible types of boundary conditions turn out to be satisfied for these wave packets. The propagation of initially unchirped optical wave packets under consideration could be supported by lossless medium in both normal and anomalous dispersion regimes. At the same time initially chirped optical waves with the second Painleve transcendent shape in low-loss medium and need matching the magnitude of optical losses by the dispersion and nonlinear properties of that medium.

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Alexandre S. Shcherbakov, Eduardo Tepichin Rodriguez, and Mauro Sanchez Sanchez "Nonlinear optical waves with the second Painleve transcendent shape of envelope in Kerr media", Proc. SPIE 5480, Laser Optics 2003: Diode Lasers and Telecommunication Systems, (3 May 2004); https://doi.org/10.1117/12.558739

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