Frequency Logarithmic Perturbation on the Group-Velocity Dispersion Parameter with Applications to Passive Optical Networks
Autor: | Erik Agrell, Alex Alvarado, Gabriele Liga, Vinicius Oliari |
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Přispěvatelé: | Signal Processing Systems, Information and Communication Theory Lab, EAISI Foundational, Center for Wireless Technology Eindhoven |
Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
Signal Processing (eess.SP)
optical fiber Nonlinear optics Logarithm 02 engineering and technology Perturbation methods Passive optical network Kerr nonlinearity Square (algebra) Channel modeling chromatic dispersion symbols.namesake 020210 optoelectronics & photonics Mathematical model logarithmic perturbation Dispersion (optics) 0202 electrical engineering electronic engineering information engineering FOS: Electrical engineering electronic engineering information engineering regular perturbation Analytical models Electrical Engineering and Systems Science - Signal Processing nonlinear Schrödinger equation Nonlinear Sciences::Pattern Formation and Solitons Nonlinear Schrödinger equation Passive optical networks Physics Detector Mathematical analysis eess.SP Optical propagation Dispersion Atomic and Molecular Physics and Optics weakly dispersive regime Frequency domain symbols |
Zdroj: | arXiv, 2021:2103.05972. Cornell University Library Journal of Lightwave Technology, 39(16):9502568, 5287-5299. IEEE/LEOS Pure TUe |
ISSN: | 2331-8422 0733-8724 |
DOI: | 10.48550/arXiv.2103.05972 |
Popis: | Signal propagation in an optical fiber can be described by the nonlinear Schr\"odinger equation (NLSE). The NLSE has no known closed-form solution, mostly due to the interaction of dispersion and nonlinearities. In this paper, we present a novel closed-form approximate model for the nonlinear optical channel, with applications to passive optical networks. The proposed model is derived using logarithmic perturbation in the frequency domain on the group-velocity dispersion (GVD) parameter of the NLSE. The model can be seen as an improvement of the recently proposed regular perturbation (RP) on the GVD parameter. RP and logarithmic perturbation (LP) on the nonlinear coefficient have already been studied in the literature, and are hereby compared with RP on the GVD parameter and the proposed LP model. As an application of the model, we focus on passive optical networks. For a 20 km PON at 10 Gbaud, the proposed model improves upon LP on the nonlinear coefficient by 1.5 dB. For the same system, a detector based on the proposed LP model reduces the uncoded bit-error-rate by up to 5.4 times at the same input power or reduces the input power by 0.4 dB at the same information rate. Comment: 11 pages, 9 figures, 2 tables |
Databáze: | OpenAIRE |
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