2011
DOI: 10.1364/oe.19.003284
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Longitudinal mode multistability in Ring and Fabry-Pérot lasers: the effect of spatial hole burning

Abstract: Abstract:We theoretically discuss the impact of the cavity configuration on the possible longitudinal mode multistability in homogeneously broadened lasers. Our analysis is based on the most general form of a Travelling-Wave Model for which we present a method that allows us to evaluate the monochromatic solutions as well as their eigenvalue spectrum. We find, in agreement with recent experimental reports, that multistability is more easily reached in Ring than in Fabry-Pérot cavities which we attribute to the… Show more

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Cited by 32 publications
(20 citation statements)
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“…The deviation of the end point from the unperturbed orbit yields a column of the operator M. This method bears some similarity to the one developed in ref. 41 but here over a period and not a single time step. Owing to the large size M ð Þ $ 10 5 , the eigenvalues and eigenvectors cannot be calculated from a complete decomposition using for instance the QR method 40 .…”
Section: Methodsmentioning
confidence: 99%
“…The deviation of the end point from the unperturbed orbit yields a column of the operator M. This method bears some similarity to the one developed in ref. 41 but here over a period and not a single time step. Owing to the large size M ð Þ $ 10 5 , the eigenvalues and eigenvectors cannot be calculated from a complete decomposition using for instance the QR method 40 .…”
Section: Methodsmentioning
confidence: 99%
“…Taking one point of the periodic orbit, we insert a small perturbation in all the degrees of freedom as represented by the mesh points in the delay time and let the system evolve over one period. The deviation of the end point from the unperturbed orbit yields a column of the operator M. This method bears some similarity to the one developed in [40] but here over a period and not a single time step. Due to the large size dim (M) ∼ 10 5 , the eigenvalues and eigenvectors can not be calculated from a complete decomposition using for instance the QR method [39].…”
Section: Stability Analysismentioning
confidence: 99%
“…Our method allowed us to discuss the impact of the cavity configuration on the possible longitudinal mode multistability in ring lasers [8] and its use in all optical signal processing.…”
Section: Resultsmentioning
confidence: 99%