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Coherent dual-polarization (DP) optical transmission systems encode information on the four available degrees of freedom of an optical field: the two polarization states, each with two quadrature components. Such systems naturally operate…

Signal Processing · Electrical Eng. & Systems 2026-01-28 Zhiwei Liang , Bin Chen , Yi Lei , Gabriele Liga , Alex Alvarado

In optical communications, four-dimensional (4D) modulation formats encode information onto the quadrature components of two arbitrary orthogonal states of polarisation of the optical field. These formats have recently regained attention…

Signal Processing · Electrical Eng. & Systems 2020-12-30 Gabriele Liga , Astrid Barreiro , Hami Rabbani , Alex Alvarado

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…

Signal Processing · Electrical Eng. & Systems 2020-12-04 Hami Rabbani , Gabriele Liga , Vinicius Oliari , Lotfollah Beygi , Erik Agrell , Magnus Karlsson , Alex Alvarado

The geometry of dual-polarization four-dimensional constellations is optimized in the optical fiber channel using a recent nonlinear interference model. A 0.27 bit/4D rate gain and 13% reach increase are attained compared to…

Signal Processing · Electrical Eng. & Systems 2021-10-25 Gabriele Liga , Bin Chen , Alex Alvarado

The four-dimensional nonlinear model is extended to include the inter-channel stimulated Raman scattering, enabling accurate prediction of dual-polarization four-dimensional modulation formats and probabilistically shaped constellations in…

Signal Processing · Electrical Eng. & Systems 2025-09-15 Zhiwei Liang , Bin Chen , Jiwei Xu , Yi Lei , Qingqing Hu , Fan Zhang , Gabriele Liga

Recently an analytical model was presented that treats the nonlinear signal distortion from the Kerr nonlinearity in optical transmission systems as additive white Gaussian noise. This important model predicts the impact of the Kerr…

Optics · Physics 2015-06-05 Pontus Johannisson

In this paper, we present an accurate and numerically efficient method to implement the GN and EGN nonlinearity prediction methods when the power evolution along the fiber is in an arbitrary form. This approach will provide us with a…

Signal Processing · Electrical Eng. & Systems 2020-10-21 Mahdi Ranjbar Zefreh , Pierluigi Poggiolini

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,…

Nonlinearity is the key to introducing novel concepts in various technologies utilizing traveling waves. In contrast to the field of optics, where highly functional devices have been developed using optical Kerr nonlinearity, such a…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 Megumi Kurosu , Daiki Hatanaka , Hiroshi Yamaguchi

We assess the accuracy of a recently introduced nonlinear interference model for general dual-polarization 4D formats.~ Unlike previous models for polarization-multiplexed 2D formats, an average gap from split-step Fourier simulations…

Signal Processing · Electrical Eng. & Systems 2021-01-28 Gabriele Liga , Bin Chen , Astrid Barreiro , Alex Alvarado

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…

Computational Physics · Physics 2007-05-23 V. V. Yatsyk

Utilizing the multi-dimensional (MD) space for constellation shaping has been proven to be an effective approach for achieving shaping gains. Despite there exists a variety of MD modulation formats tailored for specific optical transmission…

Signal Processing · Electrical Eng. & Systems 2025-06-23 Bin Chen , Zhiwei Liang , Yi Lei , JingXin Deng , Shen Li , Gabriele Liga

We propose a 4-dimensional 2-ary amplitude ring-switched modulation format with 64 symbols, which is denoted as 4D-2A-RS64 encoded over two polarization tributaries to improve the transmission performance over long-haul optical fibers in…

Signal Processing · Electrical Eng. & Systems 2023-11-30 Jingtian Liu , Élie Awwad , Yves Jaouën

We derive a heuristic nonlinear interference model for 4D probabilistic shaping considering the polarization and time correlation of the 4D symbols. We demonstrate an average SNR prediction gap from split-step Fourier simulations of…

Signal Processing · Electrical Eng. & Systems 2025-03-03 Jingxin Deng , Bin Chen , Zhiwei Liang , Yi Lei , Gabriele Liga

The effect of Kerr-induced optical fiber nonlinearities in C-band (5 THz) EDFA and C+L-band (12.5 THz) Raman-amplified optical communication systems has been studied considering the impact of third-order fiber dispersion. The performance of…

Signal Processing · Electrical Eng. & Systems 2019-09-25 Nikita A. Shevchenko , Tianhua Xu , Cenqin Jin , Domaniç Lavery , Robert I. Killey , Polina Bayvel

Shaping modulation formats in multi-dimensional (MD) space is an effective approach to harvest spectral efficiency gains in both the additive white Gaussian noise (AWGN) channel and the optical fiber channel. In the first part of this…

Information Theory · Computer Science 2023-02-08 Bin Chen , Yi Lei , Gabriele Liga , Zhiwei Liang , Wei Ling , Xuwei Xue , Alex Alvarado

A theoretical study of wave propagation in 1D metamaterial is presented. A system of nonlinear evolution equation for electromagnetic waves with both polarizations account is derived by means of projection operators method for general…

Optics · Physics 2018-02-28 Dmitrii Ampilogov , Sergey Leble

Nonlinear distortion experienced by signals during their propagation through optical fibers strongly limits the throughput of optical communication systems. Recently, a strong research focus has been dedicated to nonlinearity mitigation and…

Signal Processing · Electrical Eng. & Systems 2019-03-14 F. Da Ros , S. Civelli , S. Gaiarin , E. P. da Silva , N. De Renzis , M. Secondini , D. Zibar

Motivated by the looming "capacity crunch" in fiber-optic networks, information transmission over such systems is revisited. Among numerous distortions, inter-channel interference in multiuser wavelength-division multiplexing (WDM) is…

Information Theory · Computer Science 2014-10-09 Mansoor I. Yousefi , Frank R. Kschischang

We propose a comprehensive model describing the Kerr nonlinear dynamics of an electric field in a cylindrical microresonator with an effective radius variation, coupled to a radiation source. The proposed system of equations for coupled…

Optics · Physics 2023-03-13 Alena Yu. Kolesnikova , Ilya D. Vatnik
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