WIAS Preprint No. 1039, (2005)

Harmonic mode-locking in monolithic semiconductor lasers: Theory, simulations and experiment


  • Bandelow, Uwe
    ORCID: 0000-0003-3677-2347
  • Radziunas, Mindaugas
    ORCID: 0000-0003-0306-1266
  • Vladimirov, Andrei G.
    ORCID: 0000-0002-7540-8380
  • Hüttl, Bernd
  • Kaiser, Ronald

2010 Mathematics Subject Classification

  • 78A60 34C23 35-04

2008 Physics and Astronomy Classification Scheme

  • 42.60.Fc 42.55.Px 42.60.Mi


  • mode-locking, harmonic mode-locking, traveling wave equations, delay-differential equations




We study both theoretically and experimentally typical operation regimes of 40 GHz monolithic mode-locked lasers. The underlying Traveling Wave Equation model reveals quantitative agreement for characteristics of the fundamental mode-locking as pulse width and repetition frequency tuning, as well as qualitative agreement with the experiments for other dynamic regimes. Especially the appearance of stable harmonic mode-locking at 80 GHz has been predicted theoretically and confirmed by measurements. Furthermore, we derive and apply a simplified Delay-Differential Equation model which guides us to a qualitative analysis of bifurcations responsible for the appearance and the breakup of different mode-locking regimes. Higher harmonics of mode-locking are predicted by this model as well.

Appeared in

  • Optical and Quantum Electronics 38, pp. 495-512, 2006.

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