Nonlinear signal multiplexing for communication beyond the Kerr nonlinearity limit

Le, Son Thai; Aref, Vahid; Buelow, Henning

doi:10.1038/nphoton.2017.118

Cited by 166 publications

(86 citation statements)

References 40 publications

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“…In the case of the NLSE with constant coefficients (z m = ∞), solitons interact elastically and their parameters λ j remain unchanged. 2,3,6 If there is dispersion modulation, interaction between solitons may have an inelastic nature, and the parameters λ j are variable.…”

Section: Inelastic Two-soliton Interactionmentioning

confidence: 99%

“…After collision, the solitons become propagating with the different group velocities (Fig.3a). Group velocity of soliton is associated with the shift of its carrier frequency ∆Ω (6), which is defined by real part of soliton eigenvalue Re(λ j ). With initial pulse separation T = 4 (3cd) the oscillation period is z p = 8.66 km, initial soliton eigenvalues are λ 1 = i0.4814 and λ 2 = i0.5180.…”

Section: Inelastic Two-soliton Interactionmentioning

confidence: 99%

“…[1][2][3] Using so-called nonlinear Fourier transform, 4 a unique set of soliton eigenvalues can be found. Control of soliton eigenvalues has practical application in all-optical routing, 1 nonlinear frequency division multiplexing, [5][6][7] controlled rogue wave generation 8,9 and in generation of photon entangled pairs. 10,11 The discrete eigenvalues remain unchanged during interaction of classical Schrödinger solitons.…”

Section: Introductionmentioning

confidence: 99%

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Eigenvalue management using dispersion oscillating fibers

Sysoliatin

Konyukhov

2020

Fiber Lasers XVII: Technology and Systems

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It is known that eigenvalues of Zakharov-Shabat problem can be used to encode a signal in soliton communication lines. We propose to use dispersion oscillation fiber as a new versalite tool to control the eigenvalues. A fiber with sine-wave variation of the core diameter can be used to manage both real and imaginary parts of the eigenvalues. Change of real part of the eigenvalues results in a splitting of an optical breather into two distinct pulses propagating with the different group velocities. Change of imaginary parts of the eigenvalues allows to realize a reverse process of merge of two solitons into high-intensity pulse. The splitting of optical breather and merge of solitons can be obtained even under the strong effect of stimulated Raman scattering. We believe tools and techniques based on use of dispersion oscillating fiber will grant unprecedented control over soliton eigenstates.

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Section: Inelastic Two-soliton Interactionmentioning

confidence: 99%

Section: Inelastic Two-soliton Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Eigenvalue management using dispersion oscillating fibers

Sysoliatin

Konyukhov

2020

Fiber Lasers XVII: Technology and Systems

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“…To account for this in our simulations, we divide the fiber into a large number of small sections, each with length c . Each small section is simulated according to (11). At the end of every section, we multiply ì U by a complex random unitary matrix R = e jζ e jψ cos θ e jφ sin θ −e −jφ sin θ e −jψ cos θ , where ζ, ψ, φ are drawn independently and uniformly from [0, 2π), and θ = sin −1 ( √ a), where a is drawn uniformly from…”

Section: B Polarization Effects and Higher-order Dispersionmentioning

confidence: 99%

“…Note that while the effects of β 2 and γ are equalized in the nonlinear Fourier domain via the channel filter (5), the third-order dispersion and nonlinear interactions between the two polarizations act as distortions in NFDM. In WDM, the UOI is filtered in the frequency domain in both u x and u y and the resulting vector is back-propagated according to (11). This includes the inter-polarization nonlinearity mitigation (jointly across x and y) and the thirdorder dispersion compensation.…”

Section: B Polarization Effects and Higher-order Dispersionmentioning

confidence: 99%

Impact of Perturbations on Nonlinear Frequency-Division Multiplexing

Lavery

Bayvel

Yousefi

2018

J. Lightwave Technol.

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Abstract-Nonlinear frequency-division multiplexing (NFDM) is a communication scheme in which users' signals are multiplexed in the nonlinear Fourier domain. The contributions of this paper are twofold. First, the achievable information rates (AIRs) of NFDM based on an integrable model of the optical fiber are summarized. For this ideal model, it is shown that the AIR of the NFDM is greater than the AIR of the wavelength-division multiplexing (WDM) for a given bandwidth and signal power, in a representative system with five users and one symbol per user. The improvement results from nonlinear signal multiplexing. Second, the impact of some of the main perturbations on NFDM are investigated, including the fiber loss, polarization effects and the third-order dispersion. For a realistic non-ideal model, it is shown that the WDM AIR with joint dual-polarization back-propagation and third-order dispersion compensation is approximately equal to the NFDM AIR with two independent single-polarization demodulations and without third-order dispersion compensation. Using a joint dualpolarization receiver and perturbations compensation is expected to increase the NFDM AIR.

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Unveiling Laser Radiation of Multiple Optical Solitons by Nonlinear Fourier Transform

Zhou

Qin

et al. 2023

Laser & Photonics Reviews

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Mode-locked fiber lasers are applied in versatile scientific fields and exhibit a rich diversity of nonlinear dynamics. However, the nontrivial coexistence of solitons and embedded dispersive wave radiation prevents unveiling the real nonlinear dynamics in mode-locked fiber lasers, such as multiple solitons interaction. Here, nonlinear Fourier transform (NFT) is applied as a signal processing tool to reveal nonequilibrium multiple soliton dynamics. It is feasible to isolate solitons from the continuous wave background in a fiber laser. The real-time coherent homodyne detection methodology is used to measure the full-field dynamic evolution of multiple solitons, including multiple solitons buildup and sequentially nonequilibrium evolution with complex splitting, drifting, and collision processes. With the approach of inverse NFT, the corresponding various pure solitons buildup and collision are reconstructed. The eigenvalue probability distributions are used to classify different lasing regimes. Moreover, the controllable multiple solitons drifting is achieved and characterized by using all-optical methods. Experimental results suggest that NFT can be used to identify localized soliton nonequilibrium evolution excluding dispersive wave radiation influence, which provides a new window into the physics of the underlying laser dynamics and uncovers real soliton interaction in dissipative nonlinear systems.

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Nonlinear signal multiplexing for communication beyond the Kerr nonlinearity limit

Cited by 166 publications

References 40 publications

Eigenvalue management using dispersion oscillating fibers

Eigenvalue management using dispersion oscillating fibers

Impact of Perturbations on Nonlinear Frequency-Division Multiplexing

Unveiling Laser Radiation of Multiple Optical Solitons by Nonlinear Fourier Transform

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