Stable dark solitons in PT-symmetric dual-core waveguides

被引：96
|
作者：
Bludov, Yu V. [1 ]
Konotop, V. V. [2 ,3 ]
Malomed, B. A. [4 ]
机构：
[1] Univ Minho, Ctr Fis, P-4710057 Braga, Portugal
[2] Univ Lisbon, Fac Ciencias, Ctr Fis Teor & Computac, P-1649003 Lisbon, Portugal
[3] Univ Lisbon, Fac Ciencias, Dept Fis, P-1649003 Lisbon, Portugal
[4] Tel Aviv Univ, Fac Engn, Sch Elect Engn, Dept Phys Elect, IL-69978 Tel Aviv, Israel
来源：
PHYSICAL REVIEW A | 2013年 / 87卷 / 01期
关键词：
STABILITY;
D O I：
10.1103/PhysRevA.87.013816
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We construct dark solitons in the recently introduced model of the nonlinear dual-core coupler with the mutually balanced gain and loss applied to the two cores, which is a realization of parity-time symmetry in nonlinear optics. The main issue is stability of the dark solitons. The modulational stability of the continuous-wave background, which supports the dark solitons, is studied analytically, and the full stability is investigated in a numerical form via computation of eigenvalues for modes of small perturbations. Stability regions are thus identified in the parameter space of the system and verified in direct simulations. Collisions between stable dark solitons are briefly considered too. DOI: 10.1103/PhysRevA.87.013816
引用
收藏
页数：7
相关论文
共 50 条
  • [21] Bright-dark and dark-dark solitons in coupled nonlinear Schrodinger equation with PT-symmetric potentials
    Nath, Debraj
    Gao, Yali
    Mareeswaran, R. Babu
    Kanna, T.
    Roy, Barnana
    CHAOS, 2017, 27 (12)
  • [22] Observation of optical solitons in PT-symmetric lattices
    Wimmer, Martin
    Regensburger, Alois
    Miri, Mohammad-Ali
    Bersch, Christoph
    Christodoulides, Demetrios N.
    Peschel, Ulf
    NATURE COMMUNICATIONS, 2015, 6
  • [23] Solitons in PT-symmetric optical Mathieu lattices
    Felix-Rendon, Ulises
    Lopez-Aguayo, Servando
    JOURNAL OF OPTICS, 2018, 20 (01)
  • [24] Solitons in PT-symmetric nonlinear dissipative gratings
    Li, Xiang
    Xie, Xiao-Tao
    PHYSICAL REVIEW A, 2014, 90 (03):
  • [25] Observation of optical solitons in PT-symmetric lattices
    Martin Wimmer
    Alois Regensburger
    Mohammad-Ali Miri
    Christoph Bersch
    Demetrios N. Christodoulides
    Ulf Peschel
    Nature Communications, 6
  • [26] Symmetric and asymmetric solitons in dual-core couplers with competing quadratic and cubic nonlinearities
    Gubeskys, Lazar
    Malomed, Boris A.
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2013, 30 (07) : 1843 - 1852
  • [27] Stability of solitons in PT-symmetric nonlinear potentials
    Zezyulin, D. A.
    Kartashov, Y. V.
    Konotop, V. V.
    EPL, 2011, 96 (06)
  • [28] Scattering of the discrete solitons on the PT-symmetric defects
    Suchkov, Sergey V.
    Sukhorukov, Andrey A.
    Dmitriev, Sergey V.
    Kivshar, Yuri S.
    EPL, 2012, 100 (05)
  • [29] Bright Solitons in a PT-Symmetric Chain of Dimers
    Kirikchi, Omar B.
    Bachtiar, Alhaji A.
    Susanto, Hadi
    ADVANCES IN MATHEMATICAL PHYSICS, 2016, 2016
  • [30] Solitons in PT-symmetric potential with competing nonlinearity
    Khare, Avinash
    Al-Marzoug, S. M.
    Bahlouli, Hocine
    PHYSICS LETTERS A, 2012, 376 (45) : 2880 - 2886
12345