Nonlinear Signal

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Georg Rademacher - One of the best experts on this subject based on the ideXlab platform.

  • Long-Haul Transmission Over Few-Mode Fibers With Space-Division Multiplexing
    Journal of Lightwave Technology, 2018
    Co-Authors: Georg Rademacher, Rene-jean Essiambre, Benjamin J. Puttnam, Ruben S. Luis, Yoshinari Awaji, Haoshuo Chen, Naoya Wada, Nicolas K Fontaine, Simon Gross
    Abstract:

    Space-division multiplexing (SDM) has been intensively proposed in recent years to overcome the capacity limitations of the current single-mode fiber infrastructure and to increase the efficiency of optical transmission systems. Few-mode fibers offer the potential of transmitting several Signals at the same wavelength over different modes of a fiber with one single core. In this paper, we demonstrate the potential of using few-mode fiber-based SDM systems for long-haul transmission. We analyze system limitations such as mode-dependent loss and Kerr-effect-based Nonlinear Signal distortions for different modulation formats and distances up to 3500 km. We find that mode-dependent loss poses the major limitation in the analyzed transmission system, masking most intermodal Nonlinear interactions.

  • Nonlinear gaussian noise model for multimode fibers with space division multiplexing
    Journal of Lightwave Technology, 2016
    Co-Authors: Georg Rademacher, K Petermann
    Abstract:

    Space-division multiplex has become a promising approach to overcome future capacity shortages in long-haul optical transmission systems. In this paper, we present an analytical approach to calculate the Nonlinear interference between Signals that travel in different fiber modes of a multimode fiber SDM system. We discuss several simplifications based on intra- and intermodal four-wave mixing theories, and compare the analytical model with simulations in an exemplary few-mode fiber transmission system with three and six spatial modes. To generate a deep understanding of the impact of intermodal Nonlinear Signal distortions, we focus our analysis on the relative strength of intra- and intermodal Nonlinearities. A good agreement between the analytical model and numerical simulations is found, making the model an easy-to-use tool to estimate the overall Nonlinear distortion in space-division multiplexed transmission systems with multimode fibers.

Sergei K Turitsyn - One of the best experts on this subject based on the ideXlab platform.

  • Nonlinear Inverse Synthesis for Optical Links With Distributed Raman Amplification
    Journal of Lightwave Technology, 2016
    Co-Authors: Son Thai Le, Jaroslaw E Prilepsky, J D Ania-Casta��n, P. Di Rosa, Sergei K Turitsyn
    Abstract:

    Nonlinear Fourier transform (NFT) and eigenvalue communication with the use of Nonlinear Signal spectrum (both discrete and continuous) have been recently discussed as a promising transmission method to combat fiber Nonlinearity impairments. However, because the NFT-based transmission method employs the integrability property of the lossless Nonlinear Schro?dinger equation (NLSE), the original approach can only be applied directly to optical links with ideal distributed Raman amplification. In this paper, we investigate in details the impact of a non-ideal Raman gain profile on the performance of the Nonlinear inverse synthesis (NIS) scheme, in which the transmitted information is encoded directly onto the continuous part of the Nonlinear Signal spectrum. We propose the lossless path-averaged (LPA) model for fiber links with non-ideal Raman gain profile by taking into account the average effect of the Raman gain. We show that the NIS scheme employing the LPA model can offer a performance gain of 3 dB regardless of the Raman gain profiles.

  • Nonlinear inverse synthesis for high spectral efficiency transmission in optical fibers.
    Optics express, 2014
    Co-Authors: Jaroslaw E Prilepsky, Sergei K Turitsyn
    Abstract:

    In linear communication channels, spectral components (modes) defined by the Fourier transform of the Signal propagate without interactions with each other. In certain Nonlinear channels, such as the one modelled by the classical Nonlinear Schrodinger equation, there are Nonlinear modes (Nonlinear Signal spectrum) that also propagate without interacting with each other and without corresponding Nonlinear cross talk, effectively, in a linear manner. Here, we describe in a constructive way how to introduce such Nonlinear modes for a given input Signal. We investigate the performance of the Nonlinear inverse synthesis (NIS) method, in which the information is encoded directly onto the continuous part of the Nonlinear Signal spectrum. This transmission technique, combined with the appropriate distributed Raman amplification, can provide an effective eigenvalue division multiplexing with high spectral efficiency, thanks to highly suppressed channel cross talk. The proposed NIS approach can be integrated with any modulation formats. Here, we demonstrate numerically the feasibility of merging the NIS technique in a burst mode with high spectral efficiency methods, such as orthogonal frequency division multiplexing and Nyquist pulse shaping with advanced modulation formats (e.g., QPSK, 16QAM, and 64QAM), showing a performance improvement up to 4.5 dB, which is comparable to results achievable with multi-step per span digital back propagation.

  • Nonlinear Signal transformations path to capacity above the linear awgn shannon limit
    Photonics Society Summer Topical Meeting Series, 2014
    Co-Authors: Mariia Sorokina, Sergei K Turitsyn
    Abstract:

    We present a methodology for simultaneous optimization of modulation format and regenerative transformations in Nonlinear communication channels. We derived analytically the maximum regenerative Shannon capacity, towards which any regenerative channel tends at high SNR and large number of regenerators.

  • Nonlinear inverse synthesis and eigenvalue division multiplexing in optical fiber channels
    Physical Review Letters, 2014
    Co-Authors: Jaroslaw E Prilepsky, Stanislav A Derevyanko, K J Blow, Ildar R Gabitov, Sergei K Turitsyn
    Abstract:

    We scrutinize the concept of integrable Nonlinear communication channels, resurrecting and extending the idea of eigenvalue communications in a novel context of nonsoliton coherent optical communications. Using the integrable Nonlinear Schrodinger equation as a channel model, we introduce a new approach - the Nonlinear inverse synthesis method - for digital Signal processing based on encoding the information directly onto the Nonlinear Signal spectrum. The latter evolves trivially and linearly along the transmission line, thus, providing an effective eigenvalue division multiplexing with no Nonlinear channel cross talk. The general approach is illustrated with a coherent optical orthogonal frequency division multiplexing transmission format. We show how the strategy based upon the inverse scattering transform method can be geared for the creation of new efficient coding and modulation standards for the Nonlinear channel.

Benjamin J Eggleton - One of the best experts on this subject based on the ideXlab platform.

  • optically tunable compensation of Nonlinear Signal distortion in optical fiber by end span optical phase conjugation
    Optics Express, 2012
    Co-Authors: Mark Pelusi, Benjamin J Eggleton
    Abstract:

    We demonstrate a Nonlinear Signal processing approach for compensating Nonlinear distortion caused by the Kerr effect in optical fiber transmission. The concept relies on propagating the Signal through a separate all-optical module outside the link to apply tunable Nonlinear distortion and phase-conjugation in series. We show this uniquely enables tunable regeneration of phase-encoded 40 Gb/s Signals of different data-formats and number of WDM channels, to allow significantly higher transmission powers through single and multi-span fiber links. An improvement in the receiver power penalty by 3~4 dB for a bit-error-rate (BER) of ≈10−5 is achieved.

  • error free all optical wavelength conversion in highly Nonlinear as se chalcogenide glass fiber
    Optics Express, 2006
    Co-Authors: V G Taeed, Mark Pelusi, Libin Fu, Martin Rochette, Ian C M Littler, David J Moss, Benjamin J Eggleton
    Abstract:

    We present the first demonstration of all optical wavelength conversion in chalcogenide glass fiber including system penalty measurements at 10 Gb/s. Our device is based on singlemode As2Se3 chalcogenide glass fiber which has the highest Kerr Nonlinearity (n2) of any fiber to date for which either advanced all optical Signal processing functions or system penalty measurements have been demonstrated. We achieve wavelength conversion via cross phase modulation over a 10 nm wavelength range near 1550 nm with 7 ps pulses at 2.1 W peak pump power in 1 meter of fiber, achieving only 1.4 dB excess system penalty. Analysis and comparison of the fundamental fiber parameters, including Nonlinear coefficient, two-photon absorption coefficient and dispersion parameter with other Nonlinear glasses shows that As2Se3 based devices show considerable promise for radically integrated Nonlinear Signal processing devices.

Alan E Willner - One of the best experts on this subject based on the ideXlab platform.

  • experimental performance of a fully tunable complex coefficient optical fir filter using wavelength conversion and chromatic dispersion
    Optics Letters, 2012
    Co-Authors: Salman Khaleghi, Mohammad Reza Chitgarha, Omer F Yilmaz, Michael W Haney, Carsten Langrock, M M Fejer, Alan E Willner
    Abstract:

    We experimentally characterize the performance of a continuously tunable all-optical complex-coefficient finite-impulse-response (FIR) filter that exploits Nonlinear Signal processing (multiplexing and multicasting) and conversion-dispersion-based optical delays. Various length (three and four) optical FIR filters with different tap amplitudes (from 0 to −9  dB), tap phases (from 0 to 2π), and tap delays (∼37.4  ps and 25 ps) are realized, showing reconfiguration and tuning capabilities of this FIR filter. The measured frequency responses show close agreement with the theoretical filter responses.

  • optically efficient Nonlinear Signal processing
    IEEE Journal of Selected Topics in Quantum Electronics, 2011
    Co-Authors: Alan E Willner, Omer F Yilmaz, Jian Wang, Antonella Bogoni, Lin Zhang, Scott R Nuccio
    Abstract:

    Optical Signal processing techniques employ a wide range of devices and various Nonlinearities to achieve multiple network functionalities. The choice of Nonlinearity can also impact the relative efficiency, both in terms of energy and material consumption, of the Signal processing function being implemented. Techniques for some of the important functionalities, wavelength multicasting, wavelength-division multiplexing to time-division multiplexing, add-drop multiplexing, and wavelength exchange are compared in terms of the used optical spectrum, number of pumps required, and optical energy consumed. These include varieties of four-wave mixing, cross-phase modulation, Kerr-effect-based polarization rotation in optical fibers, and three-wave mixing in lithium niobate waveguides (WGs). Future possibilities of greener optical Signal processing using on-chip WG technologies are discussed within the scope of recent developments in the dispersion tailored, highly Nonlinear WGs.

K Petermann - One of the best experts on this subject based on the ideXlab platform.

  • Nonlinear gaussian noise model for multimode fibers with space division multiplexing
    Journal of Lightwave Technology, 2016
    Co-Authors: Georg Rademacher, K Petermann
    Abstract:

    Space-division multiplex has become a promising approach to overcome future capacity shortages in long-haul optical transmission systems. In this paper, we present an analytical approach to calculate the Nonlinear interference between Signals that travel in different fiber modes of a multimode fiber SDM system. We discuss several simplifications based on intra- and intermodal four-wave mixing theories, and compare the analytical model with simulations in an exemplary few-mode fiber transmission system with three and six spatial modes. To generate a deep understanding of the impact of intermodal Nonlinear Signal distortions, we focus our analysis on the relative strength of intra- and intermodal Nonlinearities. A good agreement between the analytical model and numerical simulations is found, making the model an easy-to-use tool to estimate the overall Nonlinear distortion in space-division multiplexed transmission systems with multimode fibers.