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Table 1
Definition of the symbols used to expose the wide-field synthesis formalism.
Symbol & Definition | Plane(s)a | |
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αs | Scanned angle | sky |
us | Scanned spatial frequency | uv |
αp | Phased angle | sky |
up | Phased spatial frequency | uv |
I | Sky brightness | sky |
B | Primary beam | sky |
V | Visibility function | uv & sky |
S | Sampling function | uv & sky |
Δ | Set of single-field dirty beams | sky & sky |
D | Set of wide-field dirty beams | sky & sky |
Ω | Sky-plane weighting function | sky & sky |
W | uv-plane weighting function (Ω ⊃ W) | uv & uv |
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Gridding function ( = g γ) | uv & sky |
g | uv-plane gridding function | uv |
γ | Sky-plane gridding function | sky |
Idirty | Wide-field dirty image | sky |
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