Robust split-step Fourier methods for simulating the propagation of ultra-short pulses in single- and two-mode optical communication fibers
Robust split-step Fourier methods for simulating the propagation of ultra-short pulses in single- and two-mode optical communication fibers
Extensions of the split-step Fourier method (SSFM) for Schrodinger-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.
603-625
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Poole, Stephen
eae07d5b-3402-4454-b473-712110c9d866
24 January 2017
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Poole, Stephen
eae07d5b-3402-4454-b473-712110c9d866
Deiterding, Ralf and Poole, Stephen
(2017)
Robust split-step Fourier methods for simulating the propagation of ultra-short pulses in single- and two-mode optical communication fibers.
In,
Glowinski, R., Osher, S. and Yin, W.
(eds.)
Splitting Methods in Communication and Imaging, Science and Engineering.
(Scientific Computation)
other; 2015-01-01 (01/01/15)
Swiss Confederation, CH.
Springer, .
(doi:10.1007/978-3-319-41589-5_18).
Record type:
Book Section
Abstract
Extensions of the split-step Fourier method (SSFM) for Schrodinger-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.
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e-pub ahead of print date: 6 January 2017
Published date: 24 January 2017
Venue - Dates:
other; 2015-01-01, 2015-01-01
Organisations:
Aerodynamics & Flight Mechanics Group
Identifiers
Local EPrints ID: 380660
URI: http://eprints.soton.ac.uk/id/eprint/380660
PURE UUID: 8434240a-0a4d-48b0-9d98-1e4092687b59
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Date deposited: 12 May 2016 10:35
Last modified: 15 Mar 2024 03:52
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Contributors
Author:
Stephen Poole
Editor:
R. Glowinski
Editor:
S. Osher
Editor:
W. Yin
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