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Characterization of coherent structures in dissipative systems using nonlinear Fourier transform. / Chekhovskoy, I. S.; Shtyrina, O. V.; Fedoruk, M. P. et al.

Nonlinear Optics and its Applications 2020. ed. / Neil G. R. Broderick; John M. Dudley; Anna C. Peacock. SPIE, 2020. 113581B (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11358).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Chekhovskoy, IS, Shtyrina, OV, Fedoruk, MP, Medvedev, SB & Turitsyn, SK 2020, Characterization of coherent structures in dissipative systems using nonlinear Fourier transform. in NGR Broderick, JM Dudley & AC Peacock (eds), Nonlinear Optics and its Applications 2020., 113581B, Proceedings of SPIE - The International Society for Optical Engineering, vol. 11358, SPIE, Nonlinear Optics and its Applications 2020, Virtual, Online, France, 06.04.2020. https://doi.org/10.1117/12.2555076

APA

Chekhovskoy, I. S., Shtyrina, O. V., Fedoruk, M. P., Medvedev, S. B., & Turitsyn, S. K. (2020). Characterization of coherent structures in dissipative systems using nonlinear Fourier transform. In N. G. R. Broderick, J. M. Dudley, & A. C. Peacock (Eds.), Nonlinear Optics and its Applications 2020 [113581B] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11358). SPIE. https://doi.org/10.1117/12.2555076

Vancouver

Chekhovskoy IS, Shtyrina OV, Fedoruk MP, Medvedev SB, Turitsyn SK. Characterization of coherent structures in dissipative systems using nonlinear Fourier transform. In Broderick NGR, Dudley JM, Peacock AC, editors, Nonlinear Optics and its Applications 2020. SPIE. 2020. 113581B. (Proceedings of SPIE - The International Society for Optical Engineering). doi: 10.1117/12.2555076

Author

Chekhovskoy, I. S. ; Shtyrina, O. V. ; Fedoruk, M. P. et al. / Characterization of coherent structures in dissipative systems using nonlinear Fourier transform. Nonlinear Optics and its Applications 2020. editor / Neil G. R. Broderick ; John M. Dudley ; Anna C. Peacock. SPIE, 2020. (Proceedings of SPIE - The International Society for Optical Engineering).

BibTeX

@inproceedings{28956bd70dfd4f5684cfadb482a55bef,
title = "Characterization of coherent structures in dissipative systems using nonlinear Fourier transform",
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.",
keywords = "Cubic Ginzburg-Landau equation, Dissipative systems, Nonlinear Fourier transform, Nonlinear Schr{\"o}dinger equation, Numerical simulations",
author = "Chekhovskoy, {I. S.} and Shtyrina, {O. V.} and Fedoruk, {M. P.} and Medvedev, {S. B.} and Turitsyn, {S. K.}",
note = "Funding Information: This work was supported by the Russian Science Foundation (grant No. 17-72-30006). Publisher Copyright: {\textcopyright} 2020 SPIE Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; Nonlinear Optics and its Applications 2020 ; Conference date: 06-04-2020 Through 10-04-2020",
year = "2020",
doi = "10.1117/12.2555076",
language = "English",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
editor = "Broderick, {Neil G. R.} and Dudley, {John M.} and Peacock, {Anna C.}",
booktitle = "Nonlinear Optics and its Applications 2020",
address = "United States",

}

RIS

TY - GEN

T1 - Characterization of coherent structures in dissipative systems using nonlinear Fourier transform

AU - Chekhovskoy, I. S.

AU - Shtyrina, O. V.

AU - Fedoruk, M. P.

AU - Medvedev, S. B.

AU - Turitsyn, S. K.

N1 - Funding Information: This work was supported by the Russian Science Foundation (grant No. 17-72-30006). Publisher Copyright: © 2020 SPIE Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Cubic Ginzburg-Landau equation

KW - Dissipative systems

KW - Nonlinear Fourier transform

KW - Nonlinear Schrödinger equation

KW - Numerical simulations

UR - http://www.scopus.com/inward/record.url?scp=85096354185&partnerID=8YFLogxK

U2 - 10.1117/12.2555076

DO - 10.1117/12.2555076

M3 - Conference contribution

AN - SCOPUS:85096354185

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - Nonlinear Optics and its Applications 2020

A2 - Broderick, Neil G. R.

A2 - Dudley, John M.

A2 - Peacock, Anna C.

PB - SPIE

T2 - Nonlinear Optics and its Applications 2020

Y2 - 6 April 2020 through 10 April 2020

ER -

ID: 26027626