Abstract
We theoretically investigate the locking range of hybridly mode-locked semiconductor lasers with a DBR section as a reflector. The DBR coupling constant and length are crucial in determining the locking range. At constant pulse width, the tuning range of the repetition frequency can be increased by a factor of 3 by using a strongly coupled, long DBR rather than a short and weakly coupled DBR. For a 30 GHz cavity and a pulse width of 5 ps, a locking range of 2.5% is predicted after optimization. We explain the increase in the locking range as a consequence of the dispersion inherent to a DBR. In addition, the pulses are found to be asymmetric, depending on the DBR parameters.
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