  The future space-based gravitational wave detector Laser Interferometer Space
Antenna (LISA) requires bidirectional exchange of light between its two optical
benches on board of each of its three satellites. The current baseline foresees
a polarization-maintaining single-mode fiber for this backlink connection.
Phase changes which are common in both directions do not enter the science
measurement, but differential ("non-reciprocal") phase fluctuations directly do
and must thus be guaranteed to be small enough. We have built a setup
consisting of a Zerodur$^{\rm TM}$ baseplate with fused silica components
attached to it using hydroxide-catalysis bonding and demonstrated the
reciprocity of a polarization-maintaining single-mode fiber at the 1
pm/$\sqrt{\textrm{Hz}}$ level as is required for LISA. We used balanced
detection to reduce the influence of parasitic optical beams on the reciprocity
measurement and a fiber length stabilization to avoid nonlinear effects in our
phase measurement system (phase meter). For LISA, a different phase meter is
planned to be used that does not show this nonlinearity. We corrected the
influence of beam angle changes and temperature changes on the reciprocity
measurement in post-processing.
