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

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)2082-2085
Number of pages4
JournalOptics Letters
Volume45
Issue number7
DOIs
Publication statusPublished - 1 Apr 2020

Keywords

  • NONLINEAR FOURIER-TRANSFORM
  • TRANSMISSION

Fingerprint Dive into the research topics of 'Conservative multi-exponential scheme for solving the direct Zakharov-Shabat scattering problem'. Together they form a unique fingerprint.

Cite this