  We compute the expected response of detector arms of gravitational wave
observatories to polymerized gravitational waves. The mathematical and
theoretical features of these waves were discussed in our previous work. In the
present manuscript, we find both perturbative analytical, and full
nonperturbative numerical solutions to the equations of motion of the detector
arms using the method of geodesic deviations. These results show the
modifications to both frequency and amplitude of the signal measured by the
detector. Furthermore, we study the detectability of these signals in LISA by
analyzing the modes in the frequency space.
