Soliton lasers stabilized by coupling to a resonant linear system
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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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- 1.Dissipative solitons, Lecture Notes in Physics, edited by N. Akhmediev, A. Ankiewicz (Springer, New York, 2005), Vol. 661 Google Scholar
- 2.Dissipative solitons: From Optics to Biology and Medicine, Lecture Notes in Physics, edited by N. Akhmediev, A. Ankiewicz (Springer, New York, 2008), Vol. 751 Google Scholar
- 22.P. Genevet, Ph.D. thesis, Univ. Nice (2009) Google Scholar
- 23.N.N. Rozanov, S.V. Fedorov, Opt. Spektrosk. 72, 1394 (1992) [Opt. Spectrosc. 72, 782 (1992)] Google Scholar
- 29.N.N. Rosanov, Spatial hysteresis and optical patterns, Springer Series in Synergetics (Springer, Berlin, 2002) Google Scholar