WIAS Preprint No. 2552, (2018)

Temporal dissipative solitons in a delayed model of a ring semiconductor laser


  • Pimenov, Alexander
  • Amiranashvili, Shalva
    ORCID: 0000-0002-8132-882X
  • Vladimirov, Andrei G.
    ORCID: 0000-0002-7540-8380

2008 Physics and Astronomy Classification Scheme

  • 05.45.-a, 02.30.Ks, 42.55.Px, 42.65.Pc, 42.65.Tg


  • Temporal cavity solitons, localized structures of light, semiconductor laser, time-delay model, large delay




Temporal cavity solitons are short pulses observed in periodic time traces of the electric field envelope in active and passive optical cavities. They sit on a stable background so that their trajectory comes close to a stable CW solution between the pulses. A common approach to predict a nd study these solitons theoretically is based on the use of Ginzburg-Landau-type partial differential equations, which, however, cannot adequately describe the dynamics of many realistic laser systems. Here for the first time we demonstrate formation of temporal cavity soliton solutions in a time-delay model of a ring semiconductor cavity with coherent optical injection, operating in anomalous dispersion regime, and perform bifurcation analysis of these solutions.

Appeared in

  • Extended Abstracts Spring 2018, A. Korobeinikov, M. Caubergh, T. Lázaro, J. Sardanyés, eds., vol. 11 of Trends in Mathematics, Birkhäuser, Cham, 2019, pp. 7--12, DOI 10.1007/978-3-030-25261-8_2 .

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