Abstract
The generalized Nonlinear Schrödinger Equation (GNLSE): i∂φ/∂ t+1/2 Δ φ + F(| φ|2) φ = 0 is a fundamental equation for the universal propagation of dispersive and nonlinear waves [1-4]. In the presence of high order nonlinear responses, these equations exhibit instabilities that lead to wave collapse [1, 4]. The study of collapse has stirred significant interest in scientific community, especially in Optics, as it lead to the localization and trapping of energy in small spatial scales [4]. To date, most efforts have been directed to the study of localized pulses with vanishing boundary conditions, where collapse is demonstrated to occur when the field Hamiltonian is negative [4], while practically nothing is known in the presence of a nonzero background. The latter is a particularly important in Optics, due to the large interest stirred by the study of nonlinear waves with nonzero background, such as e.g., Dark/Gray solitons [1,3-4].
Original language | English (US) |
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Title of host publication | 2013 Conference on Lasers and Electro-Optics, CLEO 2013 |
Publisher | IEEE Computer Society |
ISBN (Print) | 9781557529725 |
State | Published - 2013 |
Event | 2013 Conference on Lasers and Electro-Optics, CLEO 2013 - San Jose, CA, United States Duration: Jun 9 2013 → Jun 14 2013 |
Other
Other | 2013 Conference on Lasers and Electro-Optics, CLEO 2013 |
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Country/Territory | United States |
City | San Jose, CA |
Period | 06/9/13 → 06/14/13 |
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials