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Open and unresolved questions

1.: Can the coherence matrix be used as the prime observable instead of the coherence vector? The mixed product rule cannot be applied directly but the connection should be possible. Does it have any advantages? One advantage is that the eigenvalues of the coherence matrix are the two independent states of the radiation field and so, for example, one obtains the entropy of a polarized radiation field by summing the entropies of the two eigenvalues. Presumably something similar must apply to CLEAN. This question, therefore, is most important when considering Image Solvers.
2.: Can this formalism be usefully applied to single dish observations? For mosaicing, this would be convenient. One would need to add terms for total power offsets that are neglected in most synthesis applications.
3.: Does this formalism lend itself naturally to the expression of fringe fitting algorithms? The answer is almost certainly yes.

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