Optimal Phase Shift Sequences for a Bolometric Interferometer for Microwave Background Polarimetry

Details Optimal Phase Shift Sequences for a Bolometric Interferometer for Microwave Background Polarimetry Optimal Phase Shift Sequences for a Bolometric Interferometer for Microwave Background Polarimetry

May 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aas...212.2302f&link_type=abstract

American Astronomical Society, AAS Meeting #212, #23.02; Bulletin of the American Astronomical Society, Vol. 40, p.220

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One possible design for the next generation of microwave background polarimeters is an interferometer based on bolometric detectors. In order to extract the individual visibilities from these incoherent detectors, a sequence of phase shifts is applied at the inputs. We consider the problem of finding, for a given arrangement of antennas, the minimum set of phase shifts that allows recovery of all of the complex visibilities. The efficiencies of several designs are explored, with interferometers incorporating 90 and 180 degree phase shifting the dominant focus. A labeling process is developed to ensure the orthogonality of each visibility signal in the detector array. A mathematical approach to determining the minimum number of time steps necessary to create orthogonal labels is described. The majority of the presented work deals with the computational results and methods that determine the minimum numbers of time steps needed for various detector arrays, including those consisting of n unrelated antennas, and those with various geometric relations between the antennas, such as hexagonal arrays, which lead to certain baselines being sampled redundantly by multiple antenna pairs.

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