A system includes a waveguide that guides a beam of radiation, a variable delay unit, and a polarization-dependent modulating unit. The variable delay unit modulates the refractive index in a region, and the waveguide makes a plurality of passes through the region. The polarization-dependent element compensates for birefringence associated with the beam of radiation and includes a polarization splitter and a plurality of modulating elements. The polarization splitter has a first arm and a second arm that each include modulation segments. The beam of radiation is split between the first arm and the second arm and recombined after traversing the modulation segments. The recombination of the beam generates a first polarized beam of radiation and a second polarized beam of radiation. The plurality of modulating elements apply a first and second modulation to the first polarized beam of radiation and the second polarized beam of radiation respectively.
