Self-similar solutions of the generalized Schrödinger equation with distributed coefficients
Open Access
- 13 December 2004
- journal article
- Published by Optica Publishing Group in Optics Express
- Vol. 12 (25), 6198-6207
- https://doi.org/10.1364/opex.12.006198
Abstract
We present approximate but nevertheless highly accurate self-similar solutions to the generalized linear Schrödinger Equation appropriate to the description of pulse propagation in an optical fibre under the influence of distributed dispersion and gain or attenuation. These new similariton solutions apply for any shape of linearly chirped pulse for any dispersion and gain profiles and are indistinguishable from numerically generated solutions in the majority of practical applications.Keywords
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