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Closed-Form Expressions for Nonlinearity Coefficients in Multimode Fibers

Carniello, Paolo; Ferreira, Filipe M; Hanik, Norbert; (2025) Closed-Form Expressions for Nonlinearity Coefficients in Multimode Fibers. IEEE Journal on Selected Areas in Communications , 43 (5) pp. 1440-1454. 10.1109/JSAC.2025.3543504. (In press). Green open access

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Abstract

We derive novel approximate closed-form expressions for the nonlinear coupling coefficients appearing in the Manakov equations for multimode fibers for space-division multiplexing in the two regimes of strong and weak coupling. The expressions depend only on few fiber design parameters. In particular, the Manakov coefficients are shown to be simple rational numbers which depend solely on the number of guided modes. The overall nonlinearity coefficients are found to decrease with increasing core radius and to stay nearly constant with increasing refractive index difference between core and cladding. Validation is performed through a numerical approach. The consequences of the findings onto fiber design are discussed in terms of achievable data rates. The analysis is mainly focused on the trenchless parabolic graded-index profile, but considerations on the use of realistic trenches and non-parabolic indices, and on the step-index profile are given.

Type: Article
Title: Closed-Form Expressions for Nonlinearity Coefficients in Multimode Fibers
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/JSAC.2025.3543504
Publisher version: https://doi.org/10.1109/jsac.2025.3543504
Language: English
Additional information: This work is licensed under a Creative Commons License. The images or other third-party material in this article are included in the Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
Keywords: Science & Technology, Technology, Engineering, Electrical & Electronic, Telecommunications, Engineering, Optical fiber communication, Couplings, Optical fiber couplers, Optical fiber polarization, Refractive index, Closed-form solutions, Mathematical models, Delays, Optical fiber dispersion, Indexes, Multimode fibers, space division multiplexing, Manakov equations, nonlinear coupling coefficients, optical communications, FEW-MODE FIBERS, OPTICAL-FIBER, DELAY SPREAD, INDEX, PROPAGATION, TRANSMISSION, EQUATIONS, LP
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10215947
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