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We present exact analytical results for the statistics of nonlinear coupled oscillators under the influence of additive white noise. We suggest a perturbative approach for analysing the statistics of such systems under the action of a…

混沌动力学 · 物理学 2007-05-23 J. E. Prilepsky , S. A. Derevyanko

A low-complexity model for signal quality prediction in a nonlinear fiber-optical network is developed. The model, which builds on the Gaussian noise model, takes into account the signal degradation caused by a combination of chromatic…

光学 · 物理学 2015-01-07 Pontus Johannisson , Erik Agrell

We identify and discuss nonlinear phase noise arising in Kerr self-phase modulation of a coherent light pulse propagating through an attenuating medium with third-order nonlinearity in a dispersion-free setting. This phenomenon,…

量子物理 · 物理学 2018-01-29 Ludwig Kunz , Matteo G. A. Paris , Konrad Banaszek

A Gaussian noise (GN) model is presented that properly accounts for an arbitrary frequency dependent signal power profile along the link. This enables the evaluation of the impact of inter-channel stimulated Raman scattering (ISRS) on the…

信号处理 · 电气工程与系统科学 2018-07-04 Daniel Semrau , Polina Bayvel

Ultra-wideband fiber optical transmission suffers from both Kerr nonlinearity and stimulated Raman scattering (SRS). Mathematical models that address the interplay between Kerr nonlinearity and SRS exist. These models are based on the…

信号处理 · 电气工程与系统科学 2020-12-04 Hami Rabbani , Gabriele Liga , Vinicius Oliari , Lotfollah Beygi , Erik Agrell , Magnus Karlsson , Alex Alvarado

Coherent optical transmission systems naturally lead to a four dimensional (4D) signal space, i.e., two polarizations each with two quadratures. In this paper we derive an analytical model to quantify the impact of Kerr nonlinearity on such…

信号处理 · 电气工程与系统科学 2024-01-25 Hami Rabbani , Mostafa Ayaz , Lotfollah Beygi , Gabriele Liga , Alex Alvarado , Erik Agrell , Magnus Karlsson

A linear transmitter with correlated Gaussian white additive and multiplicative noises and a periodic signal coupled either additively or multiplicatively is considered. The correlations have a weak destructive effect in case of the…

统计力学 · 物理学 2007-05-23 P. F. Gora

A system with two correlated Gaussian white noises is analysed. This system can describe both stochastic localization and long tails in the stationary distribution. Correlations between the noises can lead to a nonmonotonic behaviour of the…

统计力学 · 物理学 2015-06-25 P. F. Gora

In this research, numerical analysis of nonlinear pulse propagation is carried out. This is done mainly by solving the nonlinear Schrodinger equation using the split step algorithm. In a nonlinear media, dispersive effects exist…

光学 · 物理学 2025-04-24 Yogesh Deo , Meenu Shrestha , Om Nath Acharya

We introduce a signal processing model for signals in non-white noise, where the exact noise spectrum is a priori unknown. The model is based on a Student's t distribution and constitutes a natural generalization of the widely used normal…

统计方法学 · 统计学 2015-03-13 Christian Röver , Renate Meyer , Nelson Christensen

Recently, a perturbative model of non-linear fiber propagation in uncompensated optical transmission systems has been proposed, called GN-model [1]. Here, an extended and more detailed version of the GN-model derivation [1] is reported,…

We provide new single-integral formulas of the power spectral density of single-channel and cross-channel nonlinear interference in highly-dispersed coherent optical links for which the Gaussian Noise model [1], [2] applies.

光学 · 物理学 2013-09-03 Alberto Bononi , Ottma Beucher

We consider the optical fiber channel modelled by the nonlinear Schr\"{o}dinger equation with additive white Gaussian noise and with large signal-to-noise ratio. For the small dispersion case we present the approach to analyze the…

信息论 · 计算机科学 2019-05-22 A. V. Reznichenko , I. S. Terekhov

We study the properties of nonlinear interference noise (NLIN) in fiber-optic communications systems with large accumulated dispersion. Our focus is on settling the discrepancy between the results of the Gaussian noise (GN) model (according…

光学 · 物理学 2015-06-16 Ronen Dar , Meir Feder , Antonio Mecozzi , Mark Shtaif

A general theory of nonlinear signal-noise interactions for wavelength division multiplexed fiber-optic coherent transmission systems is presented. This theory is based on the regular perturbation treatment of the nonlinear Schrodinger…

信息论 · 计算机科学 2017-04-24 Amirhossein Ghazisaeidi

We consider the information channel described by Schr\"{o}dinger equation with additive Gaussian noise. We introduce the model of the input signal and the model of the output signal receiver. For this channel, using perturbation theory for…

信息论 · 计算机科学 2022-03-02 A. V. Reznichenko , A. I. Chernykh , E. V. Sedov , I. S. Terekhov

A theory of nonlinear signal propagation in multi-span wavelength division multiplexed coherent transmission systems that employ the semiconductor optical amplifier as in-line amplifiers is presented for the first time. The rigorous…

光学 · 物理学 2017-11-17 Amirhossein Ghazisaeidi

In a recent work we have introduced a novel approach to study the effect of weak non-linearities in the transfer function on the information transmitted by an analogue channel, by means of a perturbative diagrammatic expansion. We extend…

统计力学 · 物理学 2009-11-07 E. Korutcheva , V. Del Prete

Dissipation is a ubiquitous phenomenon in dynamical systems encountered in nature because no finite system is fully isolated from its environment. In optical systems, a key challenge facing any technological application has traditionally…

光学 · 物理学 2014-10-20 Konstantinos G. Makris , Li Ge , Hakan E. Tureci

On an example of the open nonlinear electrodynamic system - transverse non-homogeneous, isotropic, nonmagnetic, linearly polarized, nonlinear (a Kerr-like dielectric nonlinearity) dielectric layer, the algorithms of solution of the…

计算物理 · 物理学 2007-05-23 V. V. Yatsyk
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