Effect of Cherenkov radiation on localized-state interaction

被引:38
作者
Vladimirov, A. G. [1 ,2 ]
Gurevich, S. V. [3 ,4 ]
Tlidi, M. [5 ]
机构
[1] Weierstrass Inst Appl Anal & Stochast, Mohrenstr 39, D-10117 Berlin, Germany
[2] Lobachevsky State Univ Nizhni Novgorod, Pr Gagarina 23, Nizhnii Novgorod 603950, Russia
[3] Univ Munster, Inst Theoret Phys, Wilhelm Klemm Str 9, D-48149 Munster, Germany
[4] Univ Munster, Ctr Nonlinear Sci CeNoS, Corrensstr 2, D-48149 Munster, Germany
[5] ULB, Fac Sci, CP 231,Campus Plaine, B-1050 Brussels, Belgium
基金
俄罗斯科学基金会;
关键词
TEMPORAL CAVITY SOLITONS; FREQUENCY COMBS; ORDER DISPERSION; FIBER CAVITIES; SYSTEMS;
D O I
10.1103/PhysRevA.97.013816
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study theoretically the interaction of temporal localized states in all fiber cavities and microresonator-based optical frequency comb generators. We show that Cherenkov radiation emitted in the presence of third-order dispersion breaks the symmetry of the localized structures interaction and greatly enlarges their interaction range thus facilitating the experimental observation of the dissipative soliton bound states. Analytical derivation of the reduced equations governing slow time evolution of the positions of two interacting localized states in a generalized Lugiato-Lefever model with the third-order dispersion term is performed. Numerical solutions of the model equation are in close agreement with analytical predictions.
引用
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页数:6
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共 32 条
  • [1] CHERENKOV RADIATION EMITTED BY SOLITONS IN OPTICAL FIBERS
    AKHMEDIEV, N
    KARLSSON, M
    [J]. PHYSICAL REVIEW A, 1995, 51 (03): : 2602 - 2607
  • [2] Temporal localized structures in photonic crystal fibre resonators and their spontaneous symmetry-breaking instability
    Bahloul, L.
    Cherbi, L.
    Hariz, A.
    Tlidi, M.
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2014, 372 (2027):
  • [3] Flaming 2π kinks in parametrically driven systems
    Berrios-Caro, E.
    Clerc, M. G.
    Leon, A. O.
    [J]. PHYSICAL REVIEW E, 2016, 94 (05)
  • [4] Photonic chip-based optical frequency comb using soliton Cherenkov radiation
    Brasch, V.
    Geiselmann, M.
    Herr, T.
    Lihachev, G.
    Pfeiffer, M. H. P.
    Gorodetsky, M. L.
    Kippenberg, T. J.
    [J]. SCIENCE, 2016, 351 (6271) : 357 - 360
  • [5] Dissipative Kerr solitons and Cherenkov radiation in optical microresonators with third-order dispersion
    Cherenkov, A. V.
    Lobanov, V. E.
    Gorodetsky, M. L.
    [J]. PHYSICAL REVIEW A, 2017, 95 (03)
  • [6] Localized patterns and hole solutions in one-dimensional extended systems
    Clerc, MG
    Falcon, C
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 356 (01) : 48 - 53
  • [7] Universal scaling laws of Kerr frequency combs
    Coen, Stephane
    Erkintalo, Miro
    [J]. OPTICS LETTERS, 2013, 38 (11) : 1790 - 1792
  • [8] Spectral line-by-line pulse shaping of on-chip microresonator frequency combs
    Ferdous, Fahmida
    Miao, Houxun
    Leaird, Daniel E.
    Srinivasan, Kartik
    Wang, Jian
    Chen, Lei
    Varghese, Leo Tom
    Weiner, Andrew M.
    [J]. NATURE PHOTONICS, 2011, 5 (12) : 770 - 776
  • [9] INTERACTIONS OF SOLITONS IN NON-INTEGRABLE SYSTEMS - DIRECT PERTURBATION METHOD AND APPLICATIONS
    GORSHKOV, KA
    OSTROVSKY, LA
    [J]. PHYSICA D, 1981, 3 (1-2): : 428 - 438
  • [10] Nobel Lecture:: Passion for precision
    Haensch, Theodor W.
    [J]. REVIEWS OF MODERN PHYSICS, 2006, 78 (04) : 1297 - 1309