Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Characterization of coherent structures in dissipative systems using nonlinear Fourier transform. / Chekhovskoy, I. S.; Shtyrina, O. V.; Fedoruk, M. P. и др.
Nonlinear Optics and its Applications 2020. ред. / Neil G. R. Broderick; John M. Dudley; Anna C. Peacock. SPIE, 2020. 113581B (Proceedings of SPIE - The International Society for Optical Engineering; Том 11358).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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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