Comparison of models of fast saturable absorption in passively modelocked lasers
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Wang, Shaokang, Brian S. Marks, and Curtis R. Menyuk. “Comparison of Models of Fast Saturable Absorption in Passively Modelocked Lasers.” Optics Express 24, no. 18 (September 5, 2016): 20228–44. https://doi.org/10.1364/OE.24.020228.
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Abstract
Fast saturable absorbers (FSAs) play a critical role in stabilizing many passively modelocked lasers. The most commonly used averaged model to study these lasers is the Haus modelocking equation (HME) that includes a third-order nonlinear FSA. However, it predicts a narrow region of stability that is inconsistent with experiments. To better replicate the laser physics, averaged laser models that include FSAs with higher-than-third-order nonlinearities have been introduced. Here, we compare three common FSA models to each other and to the HME using the recently-developed boundary tracking algorithms. The three FSA models are the cubic-quintic model, the sinusoidal model, and the algebraic model. We find that all three models predict the existence of a stable high-energy solution that is not present in the HME and have a much larger stable operating region. We also find that all three models predict qualitatively similar stability diagrams. We conclude that averaged laser models that include FSAs with higher-than-third-order nonlinearity should be used when studying the stability of passively modelocked lasers.