Progress and Undersampling In Digital Optical Frequency Control

We report on the recent progress in the development of digital implementation of Ultrastable Optical Frequency Controls, namely in the frame of experiments based on silicon cryogenic cavity, spherical Fabry-Pérot cavity, compact Ultra- Low Expansion (ULE) cavity and fiber link active compensation. With enhanced capabilities offered by the undersampling technique, we demonstrate similar performances but with a net gain in reconfigurability, flexibililty and dissemination over their analog counterpart.