Statistical properties of phase and eigenvalues of nonlinear fourier transform of second order solitons
Date
2019
Authors
Tanner, M.
Zhang, W.Q.
Chan, T.
Monro, T.M.
Shahraam, A.V.
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Optics InfoBase Conference Papers, 2019, vol.Part F140-CLEO_Europe 2019, iss.8872188, pp.1-
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Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019 (23 Jun 2019 - 27 Jun 2019 : Munich, Germany)
Abstract
Due to the inherently nonlinear nature of optical fibres, the increased demand for transmission capacity means that fibre optic communication systems will reach a limit, known as the Linear Capacity Limit [1,2]. A radically new solution has received significant attention in the past few years [1,3,4], which is based on Nonlinear Fourier Transform (NFT) [5]. Under NFT a signal q(t) in time domain transforms into a continuous, qc(λ), and a discrete, qd(λk), complex spectral part, with continuous and discrete eigenvalues λ, and λk, respectively [4]. Considering only multisolitons (a class of optical signals that have discrete NFT eigenvalues), it is well-known that 1) complex eigenvalues λk are invariant, and 2) the spectral part propagates as: qdkz = |qd k(0)| ej φ (z); φ (Z) = qd k(0) - 4 λ2 kz.
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Copyright 2019