Characterization of coherent structures in dissipative systems using nonlinear Fourier transform

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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
Title of host publicationNonlinear Optics and its Applications 2020
EditorsNeil G. R. Broderick, John M. Dudley, Anna C. Peacock
PublisherSPIE
ISBN (Electronic)9781510634886
DOIs
Publication statusPublished - 2020
EventNonlinear Optics and its Applications 2020 - Virtual, Online, France
Duration: 6 Apr 202010 Apr 2020

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume11358
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceNonlinear Optics and its Applications 2020
CountryFrance
CityVirtual, Online
Period06.04.202010.04.2020

Keywords

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

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