  Continuously and widely tunable lasers actively stabilized on a frequency
reference are broadly employed in atomic, molecular and optical (AMO) physics.
The frequency-stabilized optical frequency comb (OFC) provides a novel optical
frequency reference with a broadband spectrum that meets the requirement of
laser frequency stabilization. Therefore, we demonstrate a frequency-stabilized
and precisely tunable laser system based on it. In this scheme, the laser
frequency locked to the OFC is driven to jump over the ambiguity zones, which
blocks the wide tuning of the locked laser, and tuned until the mode hopping
happens with the always-activated feedback loop. Meanwhile, we compensate the
gap of the frequency jump with a synchronized acoustic optical modulator to
ensure the continuity. This scheme is applied to an external cavity diode laser
(ECDL) and we achieve tuning at a rate of about 7 GHz/s with some readily
available commercial electronics. Furthermore, we tune the frequency-stabilized
laser only with the feedback of diode current and its average tuning speed can
exceed 100 GHz/s. Due to the resource-efficient configuration and the
simplicity of completion, this scheme can be referenced and find wide
applications in AMO experiments.
