Conservative multi-exponential scheme for solving the direct Zakharov-Shabat scattering problem

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Conservative multi-exponential scheme for solving the direct Zakharov-Shabat scattering problem. / Medvedev, Sergey ; Chekhovskoy, Igor ; Vaseva, Irina et al.

In: Optics Letters, Vol. 45, No. 7, 01.04.2020, p. 2082-2085.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{813285b5349d44cfb8f4acf3fdcf3e1d,

title = "Conservative multi-exponential scheme for solving the direct Zakharov-Shabat scattering problem",

abstract = "The direct Zakharov-Shabat scattering problem has recently gained significant attention in various applications of fiber optics. The development of accurate and fast algorithms with low computational complexity to solve the Zakharov-Shabat problem (ZSP) remains an urgent problem in optics. In this Letter, a fourth-order multi-exponential scheme is proposed for the Zakharov-Shabat system. The construction of the scheme is based on a fourth-order three-exponential scheme and Suzuki factorization. This allows one to apply the fast algorithms with low complexity to calculate the ZSP for a large number of spectral parameters. The scheme conserves the quadratic invariant for real spectral parameters, which is important for various telecommunication problems related to information coding.",

keywords = "NONLINEAR FOURIER-TRANSFORM, TRANSMISSION",

author = "Sergey Medvedev and Igor Chekhovskoy and Irina Vaseva and Mikhail Fedoruk",

year = "2020",

month = apr,

day = "1",

doi = "10.1364/OL.387436",

language = "English",

volume = "45",

pages = "2082--2085",

journal = "Optics Letters",

issn = "0146-9592",

publisher = "The Optical Society",

number = "7",

}

RIS

TY - JOUR

T1 - Conservative multi-exponential scheme for solving the direct Zakharov-Shabat scattering problem

AU - Medvedev, Sergey

AU - Chekhovskoy, Igor

AU - Vaseva, Irina

AU - Fedoruk, Mikhail

PY - 2020/4/1

Y1 - 2020/4/1

N2 - The direct Zakharov-Shabat scattering problem has recently gained significant attention in various applications of fiber optics. The development of accurate and fast algorithms with low computational complexity to solve the Zakharov-Shabat problem (ZSP) remains an urgent problem in optics. In this Letter, a fourth-order multi-exponential scheme is proposed for the Zakharov-Shabat system. The construction of the scheme is based on a fourth-order three-exponential scheme and Suzuki factorization. This allows one to apply the fast algorithms with low complexity to calculate the ZSP for a large number of spectral parameters. The scheme conserves the quadratic invariant for real spectral parameters, which is important for various telecommunication problems related to information coding.

AB - The direct Zakharov-Shabat scattering problem has recently gained significant attention in various applications of fiber optics. The development of accurate and fast algorithms with low computational complexity to solve the Zakharov-Shabat problem (ZSP) remains an urgent problem in optics. In this Letter, a fourth-order multi-exponential scheme is proposed for the Zakharov-Shabat system. The construction of the scheme is based on a fourth-order three-exponential scheme and Suzuki factorization. This allows one to apply the fast algorithms with low complexity to calculate the ZSP for a large number of spectral parameters. The scheme conserves the quadratic invariant for real spectral parameters, which is important for various telecommunication problems related to information coding.

KW - NONLINEAR FOURIER-TRANSFORM

KW - TRANSMISSION

UR - http://www.scopus.com/inward/record.url?scp=85082792102&partnerID=8YFLogxK

U2 - 10.1364/OL.387436

DO - 10.1364/OL.387436

M3 - Article

C2 - 32236073

AN - SCOPUS:85082792102

VL - 45

SP - 2082

EP - 2085

JO - Optics Letters

JF - Optics Letters

SN - 0146-9592

IS - 7

ER -

ID: 23943129