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Proceedings Paper

Characterization of coherent structures in dissipative systems using nonlinear Fourier transform
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Paper 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.

Paper Details

Date Published: 1 April 2020
PDF: 8 pages
Proc. SPIE 11358, Nonlinear Optics and its Applications 2020, 113581B (1 April 2020); doi: 10.1117/12.2555076
Show Author Affiliations
I. S. Chekhovskoy, Novosibirsk State Univ. (Russian Federation)
Institute of Computational Technologies (Russian Federation)
O. V. Shtyrina, Novosibirsk State Univ. (Russian Federation)
Institute of Computational Technologies (Russian Federation)
M. P. Fedoruk, Novosibirsk State Univ. (Russian Federation)
Institute of Computational Technologies (Russian Federation)
S. B. Medvedev, Novosibirsk State Univ. (Russian Federation)
Institute of Computational Technologies (Russian Federation)
S. K. Turitsyn, Novosibirsk State Univ. (Russian Federation)
Aston Univ. (United Kingdom)


Published in SPIE Proceedings Vol. 11358:
Nonlinear Optics and its Applications 2020
Neil G. R. Broderick; John M. Dudley; Anna C. Peacock, Editor(s)

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