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Basic Equations/uv plane (The u,v plane (Source brightness as a function…
Basic Equations/uv plane
The u,v plane
Source brightness as a function of angle, interchangeable with fringe visibility as a function of baseline length in wavelengths
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If fringe visibility for all u,v could be measures, and ft, image could be obtained
Over a day, many points can be measured in the u-v plane with a single baseline
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longer the baseline, larger the u,v, and higher the resolution
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Maths
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take small part of source d sigma, at distance sigma from centre
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celestial sphere
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extend baseline to celestial sphere, point it touches is h,d
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Have to express u and v in terms of d,h,D,H
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Comments
More baselines, or longer integrations, the better the coverage of uv plane (easier to reconstruct image)
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D=0 sources can be a problem-ellipse collapses to straight line, even with several baselines n-s bad
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