  In this work, we propose polarimetry experiments to search for low-mass
(sub-eV) bosonic field dark matter, including axions and axion-like particles.
We show that a polarimetry configuration consisting of a thick birefringent
solid inside a Fabry-P\'erot cavity is exceptionally sensitive to scalar field
dark matter, which may cause oscillatory variations in the solid's thickness
and refractive index. In addition, we show that a reconfiguration of this
polarimetry experiment, in which two quarter-wave plates are placed inside the
Fabry-P\'erot cavity instead of a thick birefringent solid, is very sensitive
to axion-like particles. We investigate the possibility of using
cross-correlation of twin polarimeters to increase the sensitivity of the
experiment, which in turn could allow us to explore unexplored parts of the
parameter space and potentially detect a signal in either dark matter scenario.
