Nonlinear Fourier transform for analysis of optical spectral combs

Abstract

The nonlinear Fourier transform (NFT) is used to characterize the optical combs in the Lugiato-Lefever equation with both anomalous and normal dispersion. We demonstrate that the NFT signal processing technique can simplify analysis of the formation of dissipative dark solitons and regimes exploiting modulation instability for a generation of coherent structures, by approximating the comb with several discrete eigenvalues, providing a platform for the analytical description of dissipative coherent structures.

Publication DOI: https://doi.org/10.1103/PhysRevE.103.L020202
Divisions: College of Engineering & Physical Sciences > Electrical, Electronic & Power Engineering
Additional Information: ©2021 American Physical Society. Nonlinear Fourier transform for analysis of optical spectral combs S. K. Turitsyn, I. S. Chekhovskoy, and M. P. Fedoruk Phys. Rev. E 103, L020202 – Published 18 February 2021
Uncontrolled Keywords: Statistical and Nonlinear Physics,Statistics and Probability,Condensed Matter Physics
Full Text Link:
Related URLs: https://journal ... evE.103.L020202 (Publisher URL)
http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2021-02-18
Accepted Date: 2021-01-20
Submitted Date: 2020-08-09
Authors: Turitsyn, S K (ORCID Profile 0000-0003-0101-3834)
Chekhovskoy, I S
Fedoruk, M P

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