Journal
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS
Volume 23, Issue 12, Pages 2541-2550Publisher
OPTICAL SOC AMER
DOI: 10.1364/JOSAB.23.002541
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We present exact asymptotic similariton solutions of the generalized nonlinear Schrodinger equation (NLSE) with gain or loss terms for a normal-dispersion fiber amplifier with dispersion, nonlinearity, and gain profiles that depend on the propagation distance. Our treatment is based on the mapping of the NLSE with varying parameters to the NLSE with constant dispersion and nonlinearity coefficients and an arbitrary varying gain function. We formulate an effective procedure that leads directly, under appropriate conditions, to a wide range of exact asymptotic similariton solutions of NLSE demonstrating self-similar propagating regimes with linear chirp. (c) 2006 Optical Society of America.
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