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Frequency-banded nonlinear Schrödinger equation with inclusion of Raman nonlinearity

Frequency-banded nonlinear Schrödinger equation with inclusion of Raman nonlinearity
Frequency-banded nonlinear Schrödinger equation with inclusion of Raman nonlinearity
The well-established generalized nonlinear Schrödinger equation (GNLSE) to simulate nonlinear pulse propagation in optical fibers and waveguides becomes inefficient if only narrow spectral bands are occupied that are widely separated in frequency/wavelength, for example in parametric amplifiers. Here we present a solution to this in the form of a coupled frequency-banded nonlinear Schrödinger equation (BNLSE) that only simulates selected narrow frequency bands while still including all dispersive and nonlinear effects, in particular the inter-band Raman and Kerr nonlinearities. This allows for high accuracy spectral resolution in regions of interest while omitting spectral ranges between the selected frequency bands, thus providing an efficient and accurate way for simulating the nonlinear interaction of pulses at widely different carrier frequencies. We derive and test our BNLSE by comparison with the GNLSE. We finally demonstrate the accuracy of the BNLSE and compare the computational execution times for the different models.
1094-4087
21527-21536
Begleris, Ioannis
af0bbef2-714d-4188-a9d4-760775a739dd
Horak, Peter
520489b5-ccc7-4d29-bb30-c1e36436ea03
Begleris, Ioannis
af0bbef2-714d-4188-a9d4-760775a739dd
Horak, Peter
520489b5-ccc7-4d29-bb30-c1e36436ea03

Begleris, Ioannis and Horak, Peter (2018) Frequency-banded nonlinear Schrödinger equation with inclusion of Raman nonlinearity. Optics Express, 26 (17), 21527-21536. (doi:10.1364/OE.26.021527).

Record type: Article

Abstract

The well-established generalized nonlinear Schrödinger equation (GNLSE) to simulate nonlinear pulse propagation in optical fibers and waveguides becomes inefficient if only narrow spectral bands are occupied that are widely separated in frequency/wavelength, for example in parametric amplifiers. Here we present a solution to this in the form of a coupled frequency-banded nonlinear Schrödinger equation (BNLSE) that only simulates selected narrow frequency bands while still including all dispersive and nonlinear effects, in particular the inter-band Raman and Kerr nonlinearities. This allows for high accuracy spectral resolution in regions of interest while omitting spectral ranges between the selected frequency bands, thus providing an efficient and accurate way for simulating the nonlinear interaction of pulses at widely different carrier frequencies. We derive and test our BNLSE by comparison with the GNLSE. We finally demonstrate the accuracy of the BNLSE and compare the computational execution times for the different models.

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More information

Accepted/In Press date: 1 June 2018
e-pub ahead of print date: 7 August 2018
Published date: 20 August 2018

Identifiers

Local EPrints ID: 422098
URI: https://eprints.soton.ac.uk/id/eprint/422098
ISSN: 1094-4087
PURE UUID: d6ed26bb-3a34-4e0c-b5a2-be8a6c9ab6d0
ORCID for Peter Horak: ORCID iD orcid.org/0000-0002-8710-8764

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Date deposited: 16 Jul 2018 16:30
Last modified: 14 Mar 2019 01:45

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