Инд. авторы:	Kamalian M., Prilepsky J.E., Le S.T., Turitsyn S.K.
Заглавие:	Periodic nonlinear Fourier transform for fiber-optic communications, Part I: Theory and numerical methods
Библ. ссылка:	Kamalian M., Prilepsky J.E., Le S.T., Turitsyn S.K. Periodic nonlinear Fourier transform for fiber-optic communications, Part I: Theory and numerical methods // Optics Express. - 2016. - Vol.24. - Iss. 16. - P.18353-18369. - ISSN 1094-4087.
Внешние системы:	DOI: 10.1364/OE.24.018353; SCOPUS: 2-s2.0-84987657442;
Реферат:	eng: In this work, we introduce the periodic nonlinear Fourier transform (PNFT) method as an alternative and efficacious tool for compensation of the nonlinear transmission effects in optical fiber links. In the Part I, we introduce the algorithmic platform of the technique, describing in details the direct and inverse PNFT operations, also known as the inverse scattering transform for periodic (in time variable) nonlinear Schrödinger equation (NLSE). We pay a special attention to explaining the potential advantages of the PNFT-based processing over the previously studied nonlinear Fourier transform (NFT) based methods. Further, we elucidate the issue of the numerical PNFT computation: we compare the performance of four known numerical methods applicable for the calculation of nonlinear spectral data (the direct PNFT), in particular, taking the main spectrum (utilized further in Part II for the modulation and transmission) associated with some simple example waveforms as the quality indicator for each method. We show that the Ablowitz-Ladik discretization approach for the direct PNFT provides the best performance in terms of the accuracy and computational time consumption. © 2016 Optical Society of America.
Ключевые слова:	Optical-fiber links; Nonlinear transmission; Nonlinear fourier transforms; Inverse scattering transform; Fiber optic communications; Dinger equation; Computational time; Nonlinear optics; Numerical methods; Nonlinear equations; Mathematical transformations; Light transmission; Inverse problems; Fourier transforms; Computation theory; Optical fibers; Quality indicators;
Издано:	2016
Физ. характеристика:	с.18353-18369