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Theoretical Studies of Active, Synchronous, and Hybrid Mode-Locking

  • J. M. Catherall
  • G. H. C. New
Conference paper
Part of the Springer Series in Chemical Physics book series (CHEMICAL, volume 38)

Abstract

In previous work, we have shown how self-consistent solutions for both active mode-locking (AML) and mode-locking by synchronous pumping (MLSP) may be derived from simple difference equations [1–2]. Using a rate-equation model for the gain and a unidirectional ring cavity with the bandwidth controlled by a Fabry-Perot etalon, we demonstrated in the case of MLSP that for positive values of the cavity mismatch ... (= pump period — cavity period), steady-state profiles can be generated from a first-order difference equation (the “stepping algorithm). The simplicity of this solution arises from the fact that for ... > 0, the mismatch (like the filter) introduces delay, and both processes therefore transfer information across the pulse profile from front to back. For ... < 0 however, the information flows are opposed; the profile is then governed by a second-order difference equation and recourse to numerical methods is unavoidable. The set of steady-state solutions presented in Fig. 1 indicates that as ... is decreased, the profiles are forced into the region ahead of threshold, until a point is reached where they broaden abruptly; this effect has frequently been observed experimentally (e.g. [3]).

Keywords

Spontaneous Emission Saturable Absorber Pulse Profile Stochastic Source Cavity Period 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    J.M. Catherall, G.H.C. New and P.M. Radmore, Opt. Lett., 7, 319 (1982).ADSCrossRefGoogle Scholar
  2. [2]
    G.H.C. New, L.A. Zenteno and P.M. Radmore, Opt. Commun., 48, 149 (1983).ADSCrossRefGoogle Scholar
  3. [3]
    C.P. Ausschnitt, R.K. Jain and J.P. Heritage, IEEE J. Quantum Electron., QE-15, 912 (1979).Google Scholar
  4. [4]
    J.A. Fleck, Phys. Rev. B, 1, 84 (1970).Google Scholar
  5. [5]
    F.A. van Goor, Opt. Commun., 45, 404 (1983).ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • J. M. Catherall
    • 1
  • G. H. C. New
    • 1
  1. 1.Department of PhysicsImperial College of Science and TechnologyLondonUK

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