Abstract

The widely used split-step Fourier method has difficulties when solving partial differential equations with saturable gain. Here, we describe a modified split-step Fourier method, and we compare it to several different algorithms for solving the Haus mode-locking equation and related equations that are used to model mode-locked lasers and other optical oscillators and amplifiers with saturable gain. These equations all include the product of a scalar nonlinearity and a stiff nonlinear operator. We find that a modified split-step method is the easiest to program with the same level of reliability and accuracy as the other methods that we investigated.

© 2013 Optical Society of America

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Corrections

Shaokang Wang, Andrew Docherty, Brian S. Marks, and Curtis R. Menyuk, "Comparison of numerical methods for modeling laser modelocking with saturable gain: erratum," J. Opt. Soc. Am. B 31, 1807-1807 (2014)
https://www.osapublishing.org/josab/abstract.cfm?uri=josab-31-8-1807

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