On the theory of self-similar parabolic optical pulses

Boscolo, Sonia and Turitsyn, Sergei K (2006). On the theory of self-similar parabolic optical pulses. IN: 4th Workshop on Nonlinear Physics: Theory and Experiment IV. 2006-06-22 - 2006-07-01.

Abstract

Self-similar optical pulses (or “similaritons”) of parabolic intensity profile can be found as asymptotic solutions of the nonlinear Schr¨odinger equation in a gain medium such as a fiber amplifier or laser resonator. These solutions represent a wide-ranging significance example of dissipative nonlinear structures in optics. Here, we address some issues related to the formation and evolution of parabolic pulses in a fiber gain medium by means of semi-analytic approaches. In particular, the effect of the third-order dispersion on the structure of the asymptotic solution is examined. Our analysis is based on the resolution of ordinary differential equations, which enable us to describe the main properties of the pulse propagation and structural characteristics observable through direct numerical simulations of the basic partial differential equation model with sufficient accuracy.

Divisions: Engineering & Applied Sciences > Electrical, electronic & power engineering
Engineering & Applied Sciences
Event Title: 4th Workshop on Nonlinear Physics: Theory and Experiment IV
Event Type: Other
Event Dates: 2006-06-22 - 2006-07-01
Published Date: 2006-06

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