Wake mode sidebands and instability in mode-locked lasers with slow saturable absorbers
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Wang, Shaokang, Stefan Droste, Laura C. Sinclair, Ian Coddington, Nathan R. Newbury, Thomas F. Carruthers, and Curtis R. Menyuk. “Wake Mode Sidebands and Instability in Mode-Locked Lasers with Slow Saturable Absorbers.” Optics Letters 42, no. 12 (June 15, 2017): 2362–65. https://doi.org/10.1364/OL.42.002362.
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This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.
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Abstract
Passively mode-locked lasers with semiconductor saturable absorption mirrors are attractive comb sources due to their simplicity, excellent self-starting properties, and their environmental robustness. These lasers, however, can have an increased noise level and wake mode instabilities. Here, we investigate the wake mode dynamics in detail using a combination of evolutionary and dynamical methods. We describe the mode-locked pulse generation from noise when a stable pulse exists and the evolution of the wake mode instability when no stable pulse exists. We then calculate the dynamical spectrum of the mode-locked pulse, and we show that it has six discrete eigenmodes, two of which correspond to wake modes. The wake modes are unstable when the wake mode eigenvalues have a positive real part. We also show that even when the laser is stable, the wake modes lead to experimentally observed sidebands.