Abstract
Temporal dissipative 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 steady state solution between the pulses. A common approach to predict and 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 the formation of temporal dissipative 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.
A. Pimenov and A.G. Vladimirov acknowledge the support of SFB 787 of the DFG. Sh. Amiranashvili acknowledges the support of the DFG under Project 389251150.
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Pimenov, A., Vladimirov, A.G., Amiranashvili, S. (2019). Analysis of Temporal Dissipative Solitons in a Delayed Model of a Ring Semiconductor Laser. In: Korobeinikov, A., Caubergh, M., Lázaro, T., Sardanyés, J. (eds) Extended Abstracts Spring 2018. Trends in Mathematics(), vol 11. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-25261-8_2
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DOI: https://doi.org/10.1007/978-3-030-25261-8_2
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