In Embodiment 13, the subject matter of any one or more of Embodiments 9-12 optionally include wherein providing the fast and slow carrier envelope offset control includes: determining an integral-lead loop control using integral-lead circuitry and the carrier envelope offset error; determining the fast carrier envelope offset control using fast gain circuitry and frequency-to-voltage converter circuitry; and determining the slow carrier envelope offset control using slow gain circuitry, integration circuitry, and frequency-to-voltage converter circuitry.

In Embodiment 14, the subject matter of any one or more of Embodiments 9-13 optionally include locking an optical frequency comb using an optical frequency comb generator, the fast repetition rate control, the slow repetition rate control, the fast carrier envelope offset control, and the slow carrier envelope offset control.

In Embodiment 15, the subject matter of any one or more of Embodiments 9-14 optionally include wherein the using comb error measurement circuitry, the repetition rate control circuitry, and the carrier envelope offset control circuitry are implemented using a field-programmable gate array.