Nonlinear Fourier transform for analysis of optical spectral combs

S. K. Turitsyn; I. S. Chekhovskoy; M. P. Fedoruk

doi:10.1103/PhysRevE.103.L020202

Nonlinear Fourier transform for analysis of optical spectral combs

S. K. Turitsyn, I. S. Chekhovskoy, M. P. Fedoruk

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

The nonlinear Fourier transform (NFT) is used to characterize the optical combs in the Lugiato-Lefever equation with both anomalous and normal dispersion. We demonstrate that the NFT signal processing technique can simplify analysis of the formation of dissipative dark solitons and regimes exploiting modulation instability for a generation of coherent structures, by approximating the comb with several discrete eigenvalues, providing a platform for the analytical description of dissipative coherent structures.

Язык оригинала	английский
Страницы (с-по)	L020202
Журнал	Physical review. E
Том	103
Номер выпуска	2
DOI	https://doi.org/10.1103/PhysRevE.103.L020202
Состояние	Опубликовано - 1 февр. 2021

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА
1.03 ФИЗИЧЕСКИЕ НАУКИ И АСТРОНОМИЯ
1.03.UK ФИЗИКА КОНДЕНСИРОВАННОГО СОСТОЯНИЯ
1.03.UF ФИЗИКА, ЖИДКОСТЕЙ И ПЛАЗМЫ

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29 ФИЗИКА

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10.1103/PhysRevE.103.L020202

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abstract = "The nonlinear Fourier transform (NFT) is used to characterize the optical combs in the Lugiato-Lefever equation with both anomalous and normal dispersion. We demonstrate that the NFT signal processing technique can simplify analysis of the formation of dissipative dark solitons and regimes exploiting modulation instability for a generation of coherent structures, by approximating the comb with several discrete eigenvalues, providing a platform for the analytical description of dissipative coherent structures.",

author = "Turitsyn, {S. K.} and Chekhovskoy, {I. S.} and Fedoruk, {M. P.}",

note = "This work was supported by the Russian Science Foundation (Grant No. 17-72-30006).",

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doi = "10.1103/PhysRevE.103.L020202",

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Nonlinear Fourier transform for analysis of optical spectral combs. / Turitsyn, S. K.; Chekhovskoy, I. S.; Fedoruk, M. P.

В: Physical review. E, Том 103, № 2, 01.02.2021, стр. L020202.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

TY - JOUR

T1 - Nonlinear Fourier transform for analysis of optical spectral combs

AU - Turitsyn, S. K.

AU - Chekhovskoy, I. S.

AU - Fedoruk, M. P.

N1 - This work was supported by the Russian Science Foundation (Grant No. 17-72-30006).

PY - 2021/2/1

Y1 - 2021/2/1

N2 - The nonlinear Fourier transform (NFT) is used to characterize the optical combs in the Lugiato-Lefever equation with both anomalous and normal dispersion. We demonstrate that the NFT signal processing technique can simplify analysis of the formation of dissipative dark solitons and regimes exploiting modulation instability for a generation of coherent structures, by approximating the comb with several discrete eigenvalues, providing a platform for the analytical description of dissipative coherent structures.

AB - The nonlinear Fourier transform (NFT) is used to characterize the optical combs in the Lugiato-Lefever equation with both anomalous and normal dispersion. We demonstrate that the NFT signal processing technique can simplify analysis of the formation of dissipative dark solitons and regimes exploiting modulation instability for a generation of coherent structures, by approximating the comb with several discrete eigenvalues, providing a platform for the analytical description of dissipative coherent structures.

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UR - https://www.elibrary.ru/item.asp?id=46784912

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DO - 10.1103/PhysRevE.103.L020202

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SP - L020202

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

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Nonlinear Fourier transform for analysis of optical spectral combs

Аннотация

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ГРНТИ

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