Characterization of coherent structures in dissipative systems using nonlinear Fourier transform

I. S. Chekhovskoy*, O. V. Shtyrina, M. P. Fedoruk, S. B. Medvedev, S. K. Turitsyn

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

We demonstrated how the nonlinear Fourier transform based on the Zakharov-Shabat spectral problem can be used to characterise coherent structures in dissipative systems. We consider as a particular, albeit important practical example model equation that is widely used to analyse laser radiation and demonstrate that dissipative solitons can be described by a limited number of degrees of freedom - discrete eigenvalues. Our approach can be applied for signal processing in a number of optical systems, from lasers to micro-resonators.

Original languageEnglish
Article number113581B
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume11358
DOIs
Publication statusPublished - 1 Apr 2020
EventNonlinear Optics and its Applications 2020 - Virtual, Online, France
Duration: 6 Apr 202010 Apr 2020

Bibliographical note

Copyright 2020 SPIE. One print or electronic copy may be made for personal use only. Systematic reproduction, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.

Keywords

  • Cubic Ginzburg-Landau equation
  • Dissipative systems
  • Nonlinear Fourier transform
  • Nonlinear Schrödinger equation
  • Numerical simulations

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