  Quantum Optical Coherence Tomography (Q-OCT) is a non-classical equivalent of
Optical Coherence Tomography and is able to provide a twofold axial resolution
increase and immunity to resolution-degrading dispersion. The main drawback of
Q-OCT are artefacts which are additional elements that clutter an A-scan and
lead to a complete loss of structural information for multilayered objects.
Whereas there are successful methods for artefact removal in Time-domain Q-OCT,
no such scheme has been devised for Fourier-domain Q-OCT (Fd-Q-OCT), although
the latter modality - through joint spectrum detection - outputs a lot of
useful information on both the system and the imaged object. Here, we propose
two algorithms which process a Fd-Q-OCT's joint spectrum into an artefact-free
A-scan. We present the theoretical background of these algorithms and show
their performance on computer-generated data. The limitations of both
algorithms with regards to the experimental system and the imaged object are
discussed.
