WIAS Preprint No. 2294, (2016)

A multi-mode delay differential equation model for lasers with optical feedback


  • Radziunas, Mindaugas
    ORCID: 0000-0003-0306-1266

2010 Mathematics Subject Classification

  • 78A60 78M34 35L40 58D30

2008 Physics and Astronomy Classification Scheme

  • 42.55.Px 42.60.-v 02.30.Jr 02.30.Ks


  • lasers, external cavity, optical feedback, cavity mode, modeling, traveling wave, Lang Kobayashi, multi-mode, delay differential equations




In this paper, we discuss the relations between the spatially-distributed traveling wave, Lang-Kobayashi, and a new multi-mode delay differential equation models for Fabry-Perot type semiconductor diode lasers with an external optical feedback. All these models govern the dynamics of the slowly varying complex amplitudes of the optical fields and carrier density. To compare the models, we calculate the cavity modes determined by the threshold carrier density and optical frequency of the steady states in all three models. These calculations show that the Lang-Kobayashi type model is in good agreement with the traveling wave model only for the small feedback regimes, whereas newly derived multi-mode delay differential equation model remains correct even at moderate and large optical feedback regimes.

Appeared in

  • Opt. Quantum Electron., 48 (2016), pp. 1--9, DOI 10.1007/s11082-016-0736-2; changed title: New multi-mode delay differential equation model for lasers with optical feedback.

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