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Generalized modulational instability in multimode fibers: wideband multimode parametric amplification

Generalized modulational instability in multimode fibers: wideband multimode parametric amplification
Generalized modulational instability in multimode fibers: wideband multimode parametric amplification
In this paper intermodal modulational instability (IM-MI) is analyzed in a multimode fiber where several spatial and polarization modes propagate. The coupled nonlinear Schrödinger equations describing the modal evolution in the fiber are linearized and reduced to an eigenvalue problem. As a result, the amplification of each mode can be described by means of the eigenvalues and eigenvectors of a matrix that stores the information about the dispersion properties of the modes and the modal power distribution of the pump. Some useful analytical formulas are also provided that estimate the modal amplification as function of the system parameters. Finally, the impact of third-order dispersion and of absorption losses is evaluated, which reveals some surprising phenomena into the IM-MI dynamics. These outcomes generalize previous studies on bimodal MI, related to the interaction between two spatial or polarization modes, to the most general case of N>2interacting modes. Moreover, they pave the way towards the realization of wideband multimode parametric amplifiers.
2469-9926
Guasoni, Massimiliano
5aa684b2-643e-4598-93d6-bc633870c99a
Guasoni, Massimiliano
5aa684b2-643e-4598-93d6-bc633870c99a

Guasoni, Massimiliano (2015) Generalized modulational instability in multimode fibers: wideband multimode parametric amplification. Physical Review A, 92 (3), [033849]. (doi:10.1103/PhysRevA.92.033849).

Record type: Article

Abstract

In this paper intermodal modulational instability (IM-MI) is analyzed in a multimode fiber where several spatial and polarization modes propagate. The coupled nonlinear Schrödinger equations describing the modal evolution in the fiber are linearized and reduced to an eigenvalue problem. As a result, the amplification of each mode can be described by means of the eigenvalues and eigenvectors of a matrix that stores the information about the dispersion properties of the modes and the modal power distribution of the pump. Some useful analytical formulas are also provided that estimate the modal amplification as function of the system parameters. Finally, the impact of third-order dispersion and of absorption losses is evaluated, which reveals some surprising phenomena into the IM-MI dynamics. These outcomes generalize previous studies on bimodal MI, related to the interaction between two spatial or polarization modes, to the most general case of N>2interacting modes. Moreover, they pave the way towards the realization of wideband multimode parametric amplifiers.

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More information

e-pub ahead of print date: 28 September 2015
Published date: 28 September 2015

Identifiers

Local EPrints ID: 431184
URI: http://eprints.soton.ac.uk/id/eprint/431184
ISSN: 2469-9926
PURE UUID: 86189752-57a5-4f28-b4d6-e81615189452

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Date deposited: 24 May 2019 16:30
Last modified: 08 Jan 2022 01:36

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