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Nonlinear pulse propagation in optical fibers

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Abstract

The nonlinear Schrodinger equation (NLS) is the central equation for understanding the propagation of pulses in optical fibers. Most problems consist of studying the effects of perturbations on the propagation of solitons. This requires an understanding of the unperturbed NLS, and inverse scattering theory is introduced through the Zakarov-Shabat (ZS) equations. We show how the ZS equations can be used to aid the interpretation of numerical results. The NLS and ZS equations can both be solved numerically, and schemes are presented for each.

© 1987 Optical Society of America

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