Conversion of a chirped Gaussian pulse to a soliton or a bound multisoliton state in quasi-lossless and lossy optical fiber spans

Prilepsky, Jaroslaw E.; Derevyanko, Stanislav A.; Turitsyn, Sergei K.

doi:10.1364/josab.24.001254

Cited by 15 publications

(8 citation statements)

References 33 publications

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“…This has mostly been considered for distributed (continuous) loss, see Refs. [15,[40][41][42], but in Ref. [30] an asymmetrically tuned spectral filter was considered.…”

Section: B Imaginary Eigenvalues Can Move Up and Downmentioning

confidence: 99%

Impact of fiber loss on two-soliton states: Substantial changes in eigenvalue spectrum

2018

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The impact of power loss on fiber-optic solitons and soliton compounds has regained interest recently, as coding schemes employing inverse scattering eigenvalues are being discussed. Loss lifts the integrability of the underlying nonlinear Schrödinger equation and has usually been treated by perturbation analysis. Our approach uses localized loss of arbitrary strength. We investigate two-soliton compounds including the N = 2 soliton and show that loss causes severe qualitative modifications of the eigenvalue spectrum. Peculiar features include power redistribution between solitons so that one of them is actually enhanced by loss and conversion of solitons at rest into a pair with outward velocities. Earlier reports of such features are put into context. We argue that frequency splitting of soliton pairs requires a mechanism that renders the spectrum double-lobed (or multiply lobed) and that the bifurcation is defined by a balance between dispersive and nonlinear forces. Implications for eigenvalue-based communication formats are pointed out.

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“…This has mostly been considered for distributed (continuous) loss, see Refs. [15,[40][41][42], but in Ref. [30] an asymmetrically tuned spectral filter was considered.…”

Section: B Imaginary Eigenvalues Can Move Up and Downmentioning

confidence: 99%

Impact of fiber loss on two-soliton states: Substantial changes in eigenvalue spectrum

2018

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“…The threshold value |c k | th coincides with the well-known area criterion (see [29]) for a soliton nucleation, although the latter is strictly valid only for single-hump pulses with a constant phase [46] and is usually violated in the case of chirped inputs [45,47], where the creation of solitons is significantly suppressed (the latter fact was utilized in the concept of a solitonbased discriminator [48]). In the context of coherent optical communication, due to highly mixed phases of the optical signal resulting from signal overlap from different time slots or from the use of many sub-carriers in OFDM, the phase of an optical signal becomes effectively random [49] and the soliton formation is dramatically suppressed [48].…”

Section: Correspondence Between the Ns And Linear Spectrum Soliton Cmentioning

confidence: 78%

“…Note that for the chirped and random profiles, the soliton nucleation is strongly suppressed by both the chirp intensity (rapid phase variations) [47] and the incoherence in the input signal [44,45,[48][49][50], and one can expect the mitigation of the threshold values (34) produced by a single tone in the case of a multitone randomly coded signal.…”

Section: Correspondence Between the Ns And Linear Spectrum Soliton Cmentioning

confidence: 99%

Nonlinear spectral management: Linearization of the lossless fiber channel

Prilepsky¹,

Derevyanko²,

Turitsyn³

2013

Opt. Express

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Using the integrable nonlinear Schrödinger equation (NLSE) as a channel model, we describe the application of nonlinear spectral management for effective mitigation of all nonlinear distortions induced by the fiber Kerr effect. Our approach is a modification and substantial development of the so-called "eigenvalue communication" idea first presented in A. Hasegawa, T. Nyu, J. Lightwave Technol. 11, 395 (1993). The key feature of the nonlinear Fourier transform (inverse scattering transform) method is that for the NLSE, any input signal can be decomposed into the so-called scattering data (nonlinear spectrum), which evolve in a trivial manner, similar to the evolution of Fourier components in linear equations. We consider here a practically important weakly nonlinear transmission regime and propose a general method of the effective encoding/modulation of the nonlinear spectrum: The machinery of our approach is based on the recursive Fourier-type integration of the input profile and, thus, can be considered for electronic or all-optical implementations. We also present a novel concept of nonlinear spectral pre-compensation, or in other terms, an effective nonlinear spectral pre-equalization. The proposed general technique is then illustrated through particular analytical results available for the transmission of a segment of the orthogonal frequency division multiplexing (OFDM) formatted pattern, and through WDM input based on Gaussian pulses. Finally, the robustness of the method against the amplifier spontaneous emission is demonstrated, and the general numerical complexity of the nonlinear spectrum usage is discussed.

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“…The BO method was used in the works [49,[51][52][53] for the calculation of continuous nonlinear spectrum for the nonlinear inverse synthesis scheme (see subsection 5B below). It also demonstrated good results in the calculation of the perturbed dynamics of solitonic eigenvalues [102][103][104]. The calculation of norming constants, requiring a (ζ n ), is described in [101,102].…”

Section: Boffetta-osborne (Bo) Transfer Methodmentioning

confidence: 93%

Nonlinear Fourier transform for optical data processing and transmission: advances and perspectives

Turitsyn

Prilepsky

et al. 2017

Optica

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321

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Fiber-optic communication systems are nowadays facing serious challenges due to fast growing demand on capacity from various new applications and services. It is now well recognised that nonlinear effects limit the spectral efficiency and transmission reach of modern fiber-optic communications. Nonlinearity compensation is therefore widely believed to be of paramount importance for increasing the capacity of future optical networks. Recently, there has been a steadily growing interest in the application of a powerful mathematical tool -the nonlinear Fourier transform (NFT) -in the development of fundamentally novel nonlinearity mitigation tools for fiber-optic channels. It has been recognized that, within this paradigm, the nonlinear crosstalk due to the Kerr effect is effectively absent, and fiber nonlinearity due to Kerr effect can enter as a constructive element rather than a degrading factor. The novelty and the mathematical complexity of the NFT, the versatility of the proposed system designs, and the lack of a unified vision of an optimal NFT-type communication system however constitute significant difficulties for communication researchers. In this paper, we therefore survey the existing approaches in a common framework and review the progress in this area with a focus on practical implementation aspects. First, an overview of existing key algorithms for the efficacious computation of the direct and inverse NFT is given, and the issues of accuracy and numerical complexity are elucidated. We then describe different approaches for the utilization of the NFT in practical transmission schemes. After that we discuss the differences, advantages and challenges of various recently emerged system designs employing the NFT, and the efficiency estimation available up-to-date. With many practical implementation aspects still being open, our minireview is aimed at helping researchers to assess the perspectives, understand the bottle-necks, and envision the development paths in the upcoming of NFT-based transmission technologies.

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Conversion of a chirped Gaussian pulse to a soliton or a bound multisoliton state in quasi-lossless and lossy optical fiber spans

Cited by 15 publications

References 33 publications

Impact of fiber loss on two-soliton states: Substantial changes in eigenvalue spectrum

Impact of fiber loss on two-soliton states: Substantial changes in eigenvalue spectrum

Nonlinear spectral management: Linearization of the lossless fiber channel

Nonlinear Fourier transform for optical data processing and transmission: advances and perspectives

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