The European Physical Journal D

, Volume 59, Issue 1, pp 13–21 | Cite as

Soliton lasers stabilized by coupling to a resonant linear system

Regular Article

Abstract

Separation into spectral and nonlinear complex-eigenvalue problems is shown to be an effective and flexible approach to soliton laser models. The simplest such model, a complex Ginzburg-Landau model with cubic nonlinearity, has no stable solitonic solutions. We show that coupling it to a resonant linear system is a simple and general route to stabilization, which encompasses several previous instances in both space- and time-domains. Graphical solution in the complex eigenvalue plane provides valuable insight into the similarities and differences of such models, and into the interpretation of related experiments. It can also be used predictively, to guide analysis, numerics and experiment.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.SUPA and Department of PhysicsUniversity of StrathclydeGlasgowUnited Kingdom
  2. 2.IFISC (CSIC-UIB), Campus Universitat Illes BalearsPalma de MallorcaSpain

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