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Coexistence of single-mode and multi-longitudinal mode emission in the ring laser model

J. L. Font·R. Vilaseca·F. Prati·E. Roldan
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Abstract

A homogeneously broadened unidirectonal ring laser can emit in several longitudinal modes for large enough pump and cavity length because of Rabi splitting induced gain. This is the so called Risken-Nummedal-Graham-Haken (RNGH) instability. We investigate numerically the properties of the multi-mode solution. We show that this solution can coexist with the single-mode one, and its stability domain can extend to pump values smaller than the critical pump of the RNGH instability. Morevoer, we show that the multi-mode solution for large pump values is affected by two different instabilities: a pitchfork bifurcation, which preserves phase-locking, and a Hopf bifurcation, which destroys it.

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J. L. Font, R. Vilaseca, F. Prati, E. Roldan. 2005-11-03. Coexistence of single-mode and multi-longitudinal mode emission in the ring laser model. https://doi.org/10.1016/j.optcom.2005.12.027

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