  The Hong-Ou-Mandel effect lies at the heart of quantum interferometry, having
multiple applications in the field of quantum information processing and no
classical counterpart. Despite its popularity, only a few works have considered
polarization-frequency interaction within the interferometer. In this paper, we
fill this gap. Our system of interest is a general biphoton polarization state
that experiences effective dephasing noise by becoming entangled with the same
photons' frequency state, as the photons propagate through birefringent media.
The photons then meet at a beam splitter, where either coincidence or bunching
occurs, after which the polarization-frequency interaction continues on the
output paths. Alongside performing extensive theoretical analysis on the
coincidence probability and different polarization states, we outline multiple
interesting applications that range from constructing Bell states to an
alternative delayed choice quantum eraser.
