2006
DOI: 10.1016/j.physd.2006.04.013
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Pulse interaction via gain and loss dynamics in passive mode locking

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Cited by 38 publications
(40 citation statements)
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“…Therefore, the ML regime in this region is stable with respect to small perturbations of the zero-intensity background. 9 The observed ML pulse doubling ͑2 mm cavity͒ in contrast to only fundamental ML ͑1 mm cavity͒ agrees with theoretical results 10 indicating that a decrease of the laser cavity length leads to the suppression of harmonic ML regimes. In this model, a pulse doubling regime appears at N g0 տ 0.10, as shown in Fig.…”
Section: -supporting
confidence: 78%
“…Therefore, the ML regime in this region is stable with respect to small perturbations of the zero-intensity background. 9 The observed ML pulse doubling ͑2 mm cavity͒ in contrast to only fundamental ML ͑1 mm cavity͒ agrees with theoretical results 10 indicating that a decrease of the laser cavity length leads to the suppression of harmonic ML regimes. In this model, a pulse doubling regime appears at N g0 տ 0.10, as shown in Fig.…”
Section: -supporting
confidence: 78%
“…The term ηe iωt represents optical injection with η denoting the injection strength and ω = 2π ν. Here ν = ν − ν 0 measures the detuning of the frequency ν of injected light from [6,[11][12][13][14][15].…”
Section: Model Equationsmentioning
confidence: 99%
“…In this case, the space-time representation is obtained by mapping a delay-time segment onto a pseudospatial cell and the index numbers of the subsequent delay cells, n, into a pseudotime variable.While the formal equivalence has been rigorously demonstrated for systems undergoing a supercritical Hopf bifurcation [17,18], a proof in the case of subcritical bifurcations (i.e., to finite-amplitude solutions) is still lacking. Theoretical studies [19][20][21][22][23][24] and recent experiments [25,26] suggest that the representation could also be effective in these cases. In particular, finite amplitude solutions in long-delayed bistable systems translate into propagating fronts in the appropriate spatiotemporal framework [25].…”
mentioning
confidence: 99%