Robust Split-Step Fourier Methods for Simulating the Propagation of Ultra-Short Pulses in Single- and Two-Mode Optical Communication Fibers

  • Ralf Deiterding
  • Stephen W. Poole
Part of the Scientific Computation book series (SCIENTCOMP)


Extensions of the split-step Fourier method (SSFM) for Schrödinger-type pulse propagation equations for simulating femto-second pulses in single- and two-mode optical communication fibers are developed and tested for Gaussian pulses. The core idea of the proposed numerical methods is to adopt an operator splitting approach, in which the nonlinear sub-operator, consisting of Kerr nonlinearity, the self-steepening and stimulated Raman scattering terms, is reformulated using Madelung transformation into a quasilinear first-order system of signal intensity and phase. A second-order accurate upwind numerical method is derived rigorously for the resulting system in the single-mode case; a straightforward extension of this method is used to approximate the four-dimensional system resulting from the nonlinearities of the chosen two-mode model. Benchmark SSFM computations of prototypical ultra-fast communication pulses in idealized single- and two-mode fibers with homogeneous and alternating dispersion parameters and also high nonlinearity demonstrate the reliable convergence behavior and robustness of the proposed approach.


Stimulate Raman Scattering Upwind Scheme Gaussian Pulse Kerr Nonlinearity Spatial Step 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



This work was supported by the Department of Defense and used resources of the Extreme Scale Systems Center at Oak Ridge National Laboratory.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Engineering and the EnvironmentUniversity of Southampton Highfield CampusSouthamptonUK
  2. 2.Oak Ridge National LaboratoryComputer Science and Mathematics DivisionOak RidgeUSA

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