A prescriptive method for fibre polarisation compensation in two bases

Single-mode optical fibres exhibit a small but non-negligible birefringence that induces random polarisation rotations during light propagation. In classical interferometry these rotations give rise to polarisation-induced fading of the interferometric visibility, and in fibre-based polarimetric sensors as well as quantum optics experiments they scramble the information encoded in the polarisation state. Correcting these undesired rotations is consequently an important part of many experiments and applications employing optical fibres. In this Lab Note we review an efficient method for fully compensating fibre polarisation rotations for general input states. This method was not originally devised by us, but does to the best of our knowledge not appear in the literature, and our interactions with the community have indicated that it is not well known.