Transverse Field Dispersion in the Generalized Nonlinear Schrödinger Equation: Four Wave Mixing in a Higher Order Mode Fiber

Martin Erland Vestergaard Pedersen; Ji Cheng; Chris Xu; Karsten Rottwitt

doi:10.1109/JLT.2013.2283423

Transverse Field Dispersion in the Generalized Nonlinear Schrödinger Equation: Four Wave Mixing in a Higher Order Mode Fiber

Martin Erland Vestergaard Pedersen, Ji Cheng, Chris Xu, Karsten Rottwitt

Cornell University

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Abstract

An improved version of the generalized nonlinear Schrödinger equation is derived, which takes into account the correct dispersion of the transverse field distribution. The new improved version of the generalized nonlinear Schrödinger equation is verified to give the same results as the standard implementation for a simple single mode soliton propagation example. As opposed to the standard implementation, the new implementation is able to reproduce pulsed four wave mixing observed experimentally in a higher order mode fiber.

Original language	English
Journal	Journal of Lightwave Technology
Volume	31
Issue number	21
Pages (from-to)	3425-3431
ISSN	0733-8724
DOIs	https://doi.org/10.1109/JLT.2013.2283423
Publication status	Published - 2013

Keywords

Fiber nonlinear optics
Four wave mixing
Higher order mode
Nonlinear Schrödinger equation

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10.1109/JLT.2013.2283423

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title = "Transverse Field Dispersion in the Generalized Nonlinear Schr{\"o}dinger Equation: Four Wave Mixing in a Higher Order Mode Fiber",

abstract = "An improved version of the generalized nonlinear Schr{\"o}dinger equation is derived, which takes into account the correct dispersion of the transverse field distribution. The new improved version of the generalized nonlinear Schr{\"o}dinger equation is verified to give the same results as the standard implementation for a simple single mode soliton propagation example. As opposed to the standard implementation, the new implementation is able to reproduce pulsed four wave mixing observed experimentally in a higher order mode fiber.",

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AB - An improved version of the generalized nonlinear Schrödinger equation is derived, which takes into account the correct dispersion of the transverse field distribution. The new improved version of the generalized nonlinear Schrödinger equation is verified to give the same results as the standard implementation for a simple single mode soliton propagation example. As opposed to the standard implementation, the new implementation is able to reproduce pulsed four wave mixing observed experimentally in a higher order mode fiber.

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KW - Higher order mode

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Transverse Field Dispersion in the Generalized Nonlinear Schrödinger Equation: Four Wave Mixing in a Higher Order Mode Fiber

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