A Reliable Split-Step Fourier Method for the Propagation Equation of Ultra-Fast Pulses in Single-Mode Optical Fibers

Journal Article · Mon Dec 31 23:00:00 EST 2012 · Journal of Lightwave Technology

DOI:https://doi.org/10.1109/JLT.2013.2262654· OSTI ID:1080249

Deiterding, Ralf ^[1]; Glowinski, R. ^[2]; Oliver, Hilde ^[1]; Poole, Stephen W ^[1]

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1. ORNL
2. University of Houston, Houston

The extension to the split-step Fourier method (SSFM) for Schrodinger-type pulse propagation equations that we propose in this article is designed with the accurate simulation of pulses in the femto-second regime in single-mode communication fibers in mind. We show that via an appropriate operator splitting scheme, Kerr nonlinearity and the self-steepening and stimulated Raman scattering terms can be combined into a single sub-step consisting of an inhomogeneous quasilinear first-order hyperbolic system for the real-valued quantities intensity and phase. First- and second-order accurate shock-capturing upwind schemes have been developed specifically for this nonlinear sub-step, which enables the accurate and oscillation-free simulation of signals under the influence of Raman scattering and extreme self-steepening with the SSFM. Benchmark computations of ultra-fast Gaussian pulses in fibers with strong nonlinearity demonstrate the superior approximation properties of the proposed approach.

• Research Organization: Oak Ridge National Laboratory (ORNL)
• Sponsoring Organization: ORNL work for others
• DOE Contract Number: AC05-00OR22725
• OSTI ID: 1080249
• Journal Information: Journal of Lightwave Technology, Journal Name: Journal of Lightwave Technology Journal Issue: 12 Vol. 31; ISSN 0733-8724
• Country of Publication: United States
• Language: English