Remarkable algebraic structures of phase-closure imaging and their algorithmic implications in aperture synthesis.

Details Remarkable algebraic structures of phase-closure imaging and their algorithmic implications in aperture synthesis. Remarkable algebraic structures of phase-closure imaging and their algorithmic implications in aperture synthesis.

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990josaa...7..500l&link_type=abstract

Journal of the Optical Society of America A, Vol. 7, No. 3, p. 500 - 512

Physics

6

Aperture Synthesis: Vla

Scientific paper

To reveal some new results of a study concerning phase-closure imaging, first the author introduces three key operators: the cophasing operator A, the phase-aberration operator B, and the phase-closure operator C. He then shows that the generalized inverses of these operators are equal to their (Hilbert space) adjoints divided by the number of pupil pinholes. This remarkable property plays an essential part in the understanding and the treatment of the inverse problems of aperture synthesis. The implications of these structures in speckle imaging are also examined. Whenever possible, nonredundant configurations should be preferred. The main developments of our approach concern, in particular, the very-long-baseline array and the interferometric mode of the very large telescope.

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