This chapter deals with the formal fusion of polarisation with interferometry. It develops an approach based on a general coherency matrix formulation, which scales naturally to multiple baselines, and shows how this may be used to generate interferograms for arbitrary choice of transmit and receive polarisations. It then considers the topic of coherence optimisation: methods for selecting the polarisation combinations that maximise the interferometric coherence and hence minimise the phase error. It is shown that there are two important classes of such optimisation: constrained and unconstrained. This leads to several important new concepts such as the coherence region, and the relationship between singular value decomposition (SVD) and Schur subspace analysis for the interpretation of the shape of this region. It concludes with a brief treatment of the practical issues of coherence bias in multi-channel interferometry.
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