Group Velocity Dispersion

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Alex Alvarado - One of the best experts on this subject based on the ideXlab platform.

  • frequency logarithmic perturbation on the Group Velocity Dispersion parameter with applications to passive optical networks
    Journal of Lightwave Technology, 2021
    Co-Authors: Vinicius Oliari, Erik Agrell, Gabriele Liga, Alex Alvarado
    Abstract:

    Signal propagation in an optical fiber can be described by the nonlinear Schr\"odinger equation (NLSE). The NLSE has no known closed-form solution, mostly due to the interaction of Dispersion and nonlinearities. In this paper, we present a novel closed-form approximate model for the nonlinear optical channel, with applications to passive optical networks. The proposed model is derived using logarithmic perturbation in the frequency domain on the Group-Velocity Dispersion (GVD) parameter of the NLSE. The model can be seen as an improvement of the recently proposed regular perturbation (RP) on the GVD parameter. RP and logarithmic perturbation (LP) on the nonlinear coefficient have already been studied in the literature, and are hereby compared with RP on the GVD parameter and the proposed LP model. As an application of the model, we focus on passive optical networks. For a 20 km PON at 10 Gbaud, the proposed model improves upon LP on the nonlinear coefficient by 1.5 dB. For the same system, a detector based on the proposed LP model reduces the uncoded bit-error-rate by up to 5.4 times at the same input power or reduces the input power by 0.4 dB at the same information rate.

  • regular perturbation on the Group Velocity Dispersion parameter for nonlinear fibre optical communications
    Nature Communications, 2020
    Co-Authors: Vinicius Oliari, Erik Agrell, Alex Alvarado
    Abstract:

    Communication using the optical fibre channel can be challenging due to nonlinear effects that arise in the optical propagation. These effects represent physical processes that originate from light propagation in optical fibres. To obtain fundamental understandings of these processes, mathematical models are typically used. These models are based on approximations of the nonlinear Schrodinger equation, the differential equation that governs the propagation in an optical fibre. All available models in the literature are restricted to certain regimes of operation. Here, we present an approximate model for the nonlinear optical fibre channel in the weak-Dispersion regime, in a noiseless scenario. The approximation is obtained by applying regular perturbation theory on the Group-Velocity Dispersion parameter of the nonlinear Schrodinger equation. The proposed model is compared with three other models using the normalized square deviation metric and shown to be significantly more accurate for links with high nonlinearities and weak Dispersion.

  • regular perturbation on the Group Velocity Dispersion parameter for nonlinear fibre optical communications
    Nature Communications, 2020
    Co-Authors: Vinicius Oliari, Erik Agrell, Alex Alvarado
    Abstract:

    Communication using the optical fibre channel can be challenging due to nonlinear effects that arise in the optical propagation. These effects represent physical processes that originate from light propagation in optical fibres. To obtain fundamental understandings of these processes, mathematical models are typically used. These models are based on approximations of the nonlinear Schrodinger equation, the differential equation that governs the propagation in an optical fibre. All available models in the literature are restricted to certain regimes of operation. Here, we present an approximate model for the nonlinear optical fibre channel in the weak-Dispersion regime, in a noiseless scenario. The approximation is obtained by applying regular perturbation theory on the Group-Velocity Dispersion parameter of the nonlinear Schrodinger equation. The proposed model is compared with three other models using the normalized square deviation metric and shown to be significantly more accurate for links with high nonlinearities and weak Dispersion. Nonlinear effects have been studied in optical fiber communications channels under various specified parameter regimes. Here, the authors develop an approximate model via perturbation that is more accurate for the highly nonlinear regime.

Vinicius Oliari - One of the best experts on this subject based on the ideXlab platform.

  • frequency logarithmic perturbation on the Group Velocity Dispersion parameter with applications to passive optical networks
    Journal of Lightwave Technology, 2021
    Co-Authors: Vinicius Oliari, Erik Agrell, Gabriele Liga, Alex Alvarado
    Abstract:

    Signal propagation in an optical fiber can be described by the nonlinear Schr\"odinger equation (NLSE). The NLSE has no known closed-form solution, mostly due to the interaction of Dispersion and nonlinearities. In this paper, we present a novel closed-form approximate model for the nonlinear optical channel, with applications to passive optical networks. The proposed model is derived using logarithmic perturbation in the frequency domain on the Group-Velocity Dispersion (GVD) parameter of the NLSE. The model can be seen as an improvement of the recently proposed regular perturbation (RP) on the GVD parameter. RP and logarithmic perturbation (LP) on the nonlinear coefficient have already been studied in the literature, and are hereby compared with RP on the GVD parameter and the proposed LP model. As an application of the model, we focus on passive optical networks. For a 20 km PON at 10 Gbaud, the proposed model improves upon LP on the nonlinear coefficient by 1.5 dB. For the same system, a detector based on the proposed LP model reduces the uncoded bit-error-rate by up to 5.4 times at the same input power or reduces the input power by 0.4 dB at the same information rate.

  • regular perturbation on the Group Velocity Dispersion parameter for nonlinear fibre optical communications
    Nature Communications, 2020
    Co-Authors: Vinicius Oliari, Erik Agrell, Alex Alvarado
    Abstract:

    Communication using the optical fibre channel can be challenging due to nonlinear effects that arise in the optical propagation. These effects represent physical processes that originate from light propagation in optical fibres. To obtain fundamental understandings of these processes, mathematical models are typically used. These models are based on approximations of the nonlinear Schrodinger equation, the differential equation that governs the propagation in an optical fibre. All available models in the literature are restricted to certain regimes of operation. Here, we present an approximate model for the nonlinear optical fibre channel in the weak-Dispersion regime, in a noiseless scenario. The approximation is obtained by applying regular perturbation theory on the Group-Velocity Dispersion parameter of the nonlinear Schrodinger equation. The proposed model is compared with three other models using the normalized square deviation metric and shown to be significantly more accurate for links with high nonlinearities and weak Dispersion.

  • regular perturbation on the Group Velocity Dispersion parameter for nonlinear fibre optical communications
    Nature Communications, 2020
    Co-Authors: Vinicius Oliari, Erik Agrell, Alex Alvarado
    Abstract:

    Communication using the optical fibre channel can be challenging due to nonlinear effects that arise in the optical propagation. These effects represent physical processes that originate from light propagation in optical fibres. To obtain fundamental understandings of these processes, mathematical models are typically used. These models are based on approximations of the nonlinear Schrodinger equation, the differential equation that governs the propagation in an optical fibre. All available models in the literature are restricted to certain regimes of operation. Here, we present an approximate model for the nonlinear optical fibre channel in the weak-Dispersion regime, in a noiseless scenario. The approximation is obtained by applying regular perturbation theory on the Group-Velocity Dispersion parameter of the nonlinear Schrodinger equation. The proposed model is compared with three other models using the normalized square deviation metric and shown to be significantly more accurate for links with high nonlinearities and weak Dispersion. Nonlinear effects have been studied in optical fiber communications channels under various specified parameter regimes. Here, the authors develop an approximate model via perturbation that is more accurate for the highly nonlinear regime.

Erik Agrell - One of the best experts on this subject based on the ideXlab platform.

  • frequency logarithmic perturbation on the Group Velocity Dispersion parameter with applications to passive optical networks
    Journal of Lightwave Technology, 2021
    Co-Authors: Vinicius Oliari, Erik Agrell, Gabriele Liga, Alex Alvarado
    Abstract:

    Signal propagation in an optical fiber can be described by the nonlinear Schr\"odinger equation (NLSE). The NLSE has no known closed-form solution, mostly due to the interaction of Dispersion and nonlinearities. In this paper, we present a novel closed-form approximate model for the nonlinear optical channel, with applications to passive optical networks. The proposed model is derived using logarithmic perturbation in the frequency domain on the Group-Velocity Dispersion (GVD) parameter of the NLSE. The model can be seen as an improvement of the recently proposed regular perturbation (RP) on the GVD parameter. RP and logarithmic perturbation (LP) on the nonlinear coefficient have already been studied in the literature, and are hereby compared with RP on the GVD parameter and the proposed LP model. As an application of the model, we focus on passive optical networks. For a 20 km PON at 10 Gbaud, the proposed model improves upon LP on the nonlinear coefficient by 1.5 dB. For the same system, a detector based on the proposed LP model reduces the uncoded bit-error-rate by up to 5.4 times at the same input power or reduces the input power by 0.4 dB at the same information rate.

  • regular perturbation on the Group Velocity Dispersion parameter for nonlinear fibre optical communications
    Nature Communications, 2020
    Co-Authors: Vinicius Oliari, Erik Agrell, Alex Alvarado
    Abstract:

    Communication using the optical fibre channel can be challenging due to nonlinear effects that arise in the optical propagation. These effects represent physical processes that originate from light propagation in optical fibres. To obtain fundamental understandings of these processes, mathematical models are typically used. These models are based on approximations of the nonlinear Schrodinger equation, the differential equation that governs the propagation in an optical fibre. All available models in the literature are restricted to certain regimes of operation. Here, we present an approximate model for the nonlinear optical fibre channel in the weak-Dispersion regime, in a noiseless scenario. The approximation is obtained by applying regular perturbation theory on the Group-Velocity Dispersion parameter of the nonlinear Schrodinger equation. The proposed model is compared with three other models using the normalized square deviation metric and shown to be significantly more accurate for links with high nonlinearities and weak Dispersion.

  • regular perturbation on the Group Velocity Dispersion parameter for nonlinear fibre optical communications
    Nature Communications, 2020
    Co-Authors: Vinicius Oliari, Erik Agrell, Alex Alvarado
    Abstract:

    Communication using the optical fibre channel can be challenging due to nonlinear effects that arise in the optical propagation. These effects represent physical processes that originate from light propagation in optical fibres. To obtain fundamental understandings of these processes, mathematical models are typically used. These models are based on approximations of the nonlinear Schrodinger equation, the differential equation that governs the propagation in an optical fibre. All available models in the literature are restricted to certain regimes of operation. Here, we present an approximate model for the nonlinear optical fibre channel in the weak-Dispersion regime, in a noiseless scenario. The approximation is obtained by applying regular perturbation theory on the Group-Velocity Dispersion parameter of the nonlinear Schrodinger equation. The proposed model is compared with three other models using the normalized square deviation metric and shown to be significantly more accurate for links with high nonlinearities and weak Dispersion. Nonlinear effects have been studied in optical fiber communications channels under various specified parameter regimes. Here, the authors develop an approximate model via perturbation that is more accurate for the highly nonlinear regime.

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

Daniel J Gauthier - One of the best experts on this subject based on the ideXlab platform.

  • giant all optical tunable Group Velocity Dispersion in an optical fiber
    Optics Express, 2014
    Co-Authors: Yunhui Zhu, Joel A Greenberg, Nor Ain Husein, Daniel J Gauthier
    Abstract:

    We realize a strongly dispersive material with large tunable Group Velocity Dispersion (GVD) in a commercially-available photonic crystal fiber. Specifically, we pump the fiber with a two-frequency pump field that induces an absorbing resonance adjacent to an amplifying resonance via the stimulated Brillouin processes. We demonstrate all-optical control of the GVD by measuring the linear frequency chirp impressed on a 28-nanosecond-duration optical pulse by the medium and find that it is tunable over the range ± 7.8 ns(2)/m. The maximum observed value of the GVD is 10(9) times larger than that in a typical single-mode silica optical fiber. Our observations are in good agreement with a theoretical model of the process.